Template:Infobox mathematical object

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```wiki Template:Infobox template

Template:Infobox mathematical object is a standardized infobox designed for use on Wikipedia and other MediaWiki-based wikis to succinctly present key information about mathematical objects. This includes, but is not limited to, functions, sets, spaces, structures, theorems, and concepts. This article provides a comprehensive guide to using and understanding this template, aimed at beginners with limited experience in MediaWiki editing. It will cover the available parameters, best practices, examples, and troubleshooting tips. Understanding how to utilize this template effectively will contribute to consistent and informative articles across mathematical topics.

Purpose and Benefits

The primary goal of this infobox is to provide readers with a quick overview of a mathematical object’s essential characteristics. This allows for rapid comprehension, especially for readers unfamiliar with the specific topic. Benefits include:

  • Consistency: Standardizes the presentation of information, making articles more easily navigable and comparable.
  • Readability: Presents key data in a visually appealing and organized format.
  • Accessibility: Facilitates quick access to core properties and definitions.
  • Maintainability: Simplifies updates and revisions of information.
  • Interoperability: Allows for potential automated data extraction and analysis.

Basic Usage

The template is invoked using the following syntax:

```wiki ```wiki Template:Infobox template

Template:Infobox mathematical object is a standardized infobox designed for use on Wikipedia and other MediaWiki-based wikis to succinctly present key information about mathematical objects. This includes, but is not limited to, functions, sets, spaces, structures, theorems, and concepts. This article provides a comprehensive guide to using and understanding this template, aimed at beginners with limited experience in MediaWiki editing. It will cover the available parameters, best practices, examples, and troubleshooting tips. Understanding how to utilize this template effectively will contribute to consistent and informative articles across mathematical topics.

Purpose and Benefits

The primary goal of this infobox is to provide readers with a quick overview of a mathematical object’s essential characteristics. This allows for rapid comprehension, especially for readers unfamiliar with the specific topic. Benefits include:

  • Consistency: Standardizes the presentation of information, making articles more easily navigable and comparable.
  • Readability: Presents key data in a visually appealing and organized format.
  • Accessibility: Facilitates quick access to core properties and definitions.
  • Maintainability: Simplifies updates and revisions of information.
  • Interoperability: Allows for potential automated data extraction and analysis.

Basic Usage

The template is invoked using the following syntax:

```wiki Template loop detected: Template:Infobox mathematical object ```

Each line represents a parameter-value pair. Parameter names are case-insensitive, but it is good practice to use the standardized names outlined below. Values should be appropriate for the parameter type.

Available Parameters

The following parameters are available within the Template:Infobox mathematical object. Parameters marked with an asterisk (*) are considered essential for a complete and informative infobox.

  • name* : The name of the mathematical object. This is the primary identifier and should be clear and unambiguous. (e.g., "Fibonacci sequence", "Euclidean space", "Group (mathematics)")
  • image : The filename of an image relevant to the object. (e.g., "Fibonacci spiral.svg", "EuclideanSpace.png") Images should be appropriately licensed and relevant.
  • caption : A brief description of the image.
  • alt : Alternative text for the image, used for accessibility.
  • type : The general type of mathematical object. (e.g., "Sequence", "Space", "Algebraic Structure", "Theorem")
  • field : The branch of mathematics to which the object belongs. (e.g., "Number theory", "Topology", "Abstract algebra", "Analysis")
  • definedby* : A concise definition of the object. This should be a formal mathematical definition, if possible. Use
  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [1](https://www.latex-project.org/) and [2](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners for LaTeX rendering. (e.g., "

  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [29](https://www.latex-project.org/) and [30](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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  • notation : Common notation used to represent the object. (e.g., "ℝ", "ℤ", "lim")
  • firstappearance : The earliest known appearance of the object in mathematical literature. Use a year or a specific publication. (e.g., "1202", "Leonardo Pisano's *Liber Abaci*")
  • discoverer : The mathematician(s) credited with discovering or developing the object. (e.g., "Leonardo Pisano", "Euclid", "Bernhard Riemann")
  • properties : A list of key properties of the object, separated by semicolons (;). (e.g., "Recursive; Additive; Closed under addition")
  • relatedconcepts : Related mathematical concepts, separated by semicolons (;). Use internal links to other Wikipedia articles whenever possible. (e.g., "Golden ratio; Continued fraction; Lucas sequence")
  • applications : Real-world or theoretical applications of the object, separated by semicolons (;). (e.g., "Computer science; Finance; Nature")
  • parent : A broader mathematical object that encompasses this one. (e.g., "Field (mathematics)", "Topological space")
  • child : A more specific mathematical object derived from this one. (e.g., "Real number", "Metric space")
  • seealso : Additional related articles. Use internal links. (e.g., "Mathematical analysis; Discrete mathematics")
  • references : Citations to sources that support the information in the infobox. Use Template:Ref list to format the references.

Advanced Usage and Tips

  • LaTeX Rendering: Use the
  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [57](https://www.latex-project.org/) and [58](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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Join Our Community

Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners template to render mathematical formulas and symbols correctly. For example, `

  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [85](https://www.latex-project.org/) and [86](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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  • Internal Linking: Whenever possible, use internal links (link) to connect to other relevant Wikipedia articles. This improves navigability and provides readers with further information. Consider linking to concepts like Calculus, Linear Algebra, Probability theory, Differential equations, Geometry, Trigonometry, Statistics, Set theory, Mathematical logic, and Number theory.
  • Semicolon Separation: When listing multiple items in parameters like 'properties', 'relatedconcepts', or 'applications', separate them with semicolons (;).
  • Image Selection: Choose images that are clear, relevant, and appropriately licensed. Avoid using images that are too small or difficult to understand.
  • Conciseness: Keep the information in the infobox concise and to the point. Detailed explanations should be provided in the main article body.
  • Parameter Order: While the order of parameters doesn’t technically matter, it is good practice to follow the order presented above for consistency.
  • Empty Parameters: If a parameter is not applicable to the mathematical object, simply omit it from the infobox. Do not leave it blank.
  • Templates within Templates: You can utilize other templates *within* the infobox, provided they are appropriate and contribute to the clarity of the information.
  • Error Handling: If you encounter errors, double-check your syntax and parameter names. Consult the template documentation (Template:Infobox mathematical object/doc) for further assistance.

Examples

Example 1: Fibonacci Sequence

```wiki Template loop detected: Template:Infobox mathematical object ```

Example 2: Euclidean Space

```wiki Template loop detected: Template:Infobox mathematical object ```

Example 3: Group (mathematics)

```wiki Template loop detected: Template:Infobox mathematical object ```

Troubleshooting

  • Infobox Not Displaying: Ensure that the template name is spelled correctly (`Template loop detected: Template:Infobox mathematical object`). Check for syntax errors within the template code.
  • Incorrect LaTeX Rendering: Make sure you are using the
  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [113](https://www.latex-project.org/) and [114](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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  • Image Not Appearing: Confirm that the image filename is correct and that the image exists on Wikimedia Commons or the local wiki. Check the image license.
  • Parameters Not Working: Double-check the parameter names against the list above. Parameter names are case-insensitive, but using the standardized names is recommended.
  • Infobox Formatting Issues: Inspect the template code for any misplaced brackets or other syntax errors. Try clearing your browser cache.

Further Resources

Strategies, Technical Analysis, Indicators, and Trends

For those interested in applying mathematical concepts to real-world scenarios, particularly in finance, consider exploring these areas:

```

Start Trading Now

Sign up at IQ Option (Minimum deposit $10) Open an account at Pocket Option (Minimum deposit $5)

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Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners ```

Each line represents a parameter-value pair. Parameter names are case-insensitive, but it is good practice to use the standardized names outlined below. Values should be appropriate for the parameter type.

Available Parameters

The following parameters are available within the Template:Infobox mathematical object. Parameters marked with an asterisk (*) are considered essential for a complete and informative infobox.

  • name* : The name of the mathematical object. This is the primary identifier and should be clear and unambiguous. (e.g., "Fibonacci sequence", "Euclidean space", "Group (mathematics)")
  • image : The filename of an image relevant to the object. (e.g., "Fibonacci spiral.svg", "EuclideanSpace.png") Images should be appropriately licensed and relevant.
  • caption : A brief description of the image.
  • alt : Alternative text for the image, used for accessibility.
  • type : The general type of mathematical object. (e.g., "Sequence", "Space", "Algebraic Structure", "Theorem")
  • field : The branch of mathematics to which the object belongs. (e.g., "Number theory", "Topology", "Abstract algebra", "Analysis")
  • definedby* : A concise definition of the object. This should be a formal mathematical definition, if possible. Use
  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [141](https://www.latex-project.org/) and [142](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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Join Our Community

Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners for LaTeX rendering. (e.g., "

  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [169](https://www.latex-project.org/) and [170](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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  • notation : Common notation used to represent the object. (e.g., "ℝ", "ℤ", "lim")
  • firstappearance : The earliest known appearance of the object in mathematical literature. Use a year or a specific publication. (e.g., "1202", "Leonardo Pisano's *Liber Abaci*")
  • discoverer : The mathematician(s) credited with discovering or developing the object. (e.g., "Leonardo Pisano", "Euclid", "Bernhard Riemann")
  • properties : A list of key properties of the object, separated by semicolons (;). (e.g., "Recursive; Additive; Closed under addition")
  • relatedconcepts : Related mathematical concepts, separated by semicolons (;). Use internal links to other Wikipedia articles whenever possible. (e.g., "Golden ratio; Continued fraction; Lucas sequence")
  • applications : Real-world or theoretical applications of the object, separated by semicolons (;). (e.g., "Computer science; Finance; Nature")
  • parent : A broader mathematical object that encompasses this one. (e.g., "Field (mathematics)", "Topological space")
  • child : A more specific mathematical object derived from this one. (e.g., "Real number", "Metric space")
  • seealso : Additional related articles. Use internal links. (e.g., "Mathematical analysis; Discrete mathematics")
  • references : Citations to sources that support the information in the infobox. Use Template:Ref list to format the references.

Advanced Usage and Tips

  • LaTeX Rendering: Use the
  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [197](https://www.latex-project.org/) and [198](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners template to render mathematical formulas and symbols correctly. For example, `

  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [225](https://www.latex-project.org/) and [226](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners` will display as $x^2 + y^2 = r^2$.

  • Internal Linking: Whenever possible, use internal links (link) to connect to other relevant Wikipedia articles. This improves navigability and provides readers with further information. Consider linking to concepts like Calculus, Linear Algebra, Probability theory, Differential equations, Geometry, Trigonometry, Statistics, Set theory, Mathematical logic, and Number theory.
  • Semicolon Separation: When listing multiple items in parameters like 'properties', 'relatedconcepts', or 'applications', separate them with semicolons (;).
  • Image Selection: Choose images that are clear, relevant, and appropriately licensed. Avoid using images that are too small or difficult to understand.
  • Conciseness: Keep the information in the infobox concise and to the point. Detailed explanations should be provided in the main article body.
  • Parameter Order: While the order of parameters doesn’t technically matter, it is good practice to follow the order presented above for consistency.
  • Empty Parameters: If a parameter is not applicable to the mathematical object, simply omit it from the infobox. Do not leave it blank.
  • Templates within Templates: You can utilize other templates *within* the infobox, provided they are appropriate and contribute to the clarity of the information.
  • Error Handling: If you encounter errors, double-check your syntax and parameter names. Consult the template documentation (Template:Infobox mathematical object/doc) for further assistance.

Examples

Example 1: Fibonacci Sequence

```wiki ```wiki Template:Infobox template

Template:Infobox mathematical object is a standardized infobox designed for use on Wikipedia and other MediaWiki-based wikis to succinctly present key information about mathematical objects. This includes, but is not limited to, functions, sets, spaces, structures, theorems, and concepts. This article provides a comprehensive guide to using and understanding this template, aimed at beginners with limited experience in MediaWiki editing. It will cover the available parameters, best practices, examples, and troubleshooting tips. Understanding how to utilize this template effectively will contribute to consistent and informative articles across mathematical topics.

Purpose and Benefits

The primary goal of this infobox is to provide readers with a quick overview of a mathematical object’s essential characteristics. This allows for rapid comprehension, especially for readers unfamiliar with the specific topic. Benefits include:

  • Consistency: Standardizes the presentation of information, making articles more easily navigable and comparable.
  • Readability: Presents key data in a visually appealing and organized format.
  • Accessibility: Facilitates quick access to core properties and definitions.
  • Maintainability: Simplifies updates and revisions of information.
  • Interoperability: Allows for potential automated data extraction and analysis.

Basic Usage

The template is invoked using the following syntax:

```wiki Template loop detected: Template:Infobox mathematical object ```

Each line represents a parameter-value pair. Parameter names are case-insensitive, but it is good practice to use the standardized names outlined below. Values should be appropriate for the parameter type.

Available Parameters

The following parameters are available within the Template:Infobox mathematical object. Parameters marked with an asterisk (*) are considered essential for a complete and informative infobox.

  • name* : The name of the mathematical object. This is the primary identifier and should be clear and unambiguous. (e.g., "Fibonacci sequence", "Euclidean space", "Group (mathematics)")
  • image : The filename of an image relevant to the object. (e.g., "Fibonacci spiral.svg", "EuclideanSpace.png") Images should be appropriately licensed and relevant.
  • caption : A brief description of the image.
  • alt : Alternative text for the image, used for accessibility.
  • type : The general type of mathematical object. (e.g., "Sequence", "Space", "Algebraic Structure", "Theorem")
  • field : The branch of mathematics to which the object belongs. (e.g., "Number theory", "Topology", "Abstract algebra", "Analysis")
  • definedby* : A concise definition of the object. This should be a formal mathematical definition, if possible. Use
  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [253](https://www.latex-project.org/) and [254](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [281](https://www.latex-project.org/) and [282](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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  • notation : Common notation used to represent the object. (e.g., "ℝ", "ℤ", "lim")
  • firstappearance : The earliest known appearance of the object in mathematical literature. Use a year or a specific publication. (e.g., "1202", "Leonardo Pisano's *Liber Abaci*")
  • discoverer : The mathematician(s) credited with discovering or developing the object. (e.g., "Leonardo Pisano", "Euclid", "Bernhard Riemann")
  • properties : A list of key properties of the object, separated by semicolons (;). (e.g., "Recursive; Additive; Closed under addition")
  • relatedconcepts : Related mathematical concepts, separated by semicolons (;). Use internal links to other Wikipedia articles whenever possible. (e.g., "Golden ratio; Continued fraction; Lucas sequence")
  • applications : Real-world or theoretical applications of the object, separated by semicolons (;). (e.g., "Computer science; Finance; Nature")
  • parent : A broader mathematical object that encompasses this one. (e.g., "Field (mathematics)", "Topological space")
  • child : A more specific mathematical object derived from this one. (e.g., "Real number", "Metric space")
  • seealso : Additional related articles. Use internal links. (e.g., "Mathematical analysis; Discrete mathematics")
  • references : Citations to sources that support the information in the infobox. Use Template:Ref list to format the references.

Advanced Usage and Tips

  • LaTeX Rendering: Use the
  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [309](https://www.latex-project.org/) and [310](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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Join Our Community

Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners template to render mathematical formulas and symbols correctly. For example, `

  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [337](https://www.latex-project.org/) and [338](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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  • Internal Linking: Whenever possible, use internal links (link) to connect to other relevant Wikipedia articles. This improves navigability and provides readers with further information. Consider linking to concepts like Calculus, Linear Algebra, Probability theory, Differential equations, Geometry, Trigonometry, Statistics, Set theory, Mathematical logic, and Number theory.
  • Semicolon Separation: When listing multiple items in parameters like 'properties', 'relatedconcepts', or 'applications', separate them with semicolons (;).
  • Image Selection: Choose images that are clear, relevant, and appropriately licensed. Avoid using images that are too small or difficult to understand.
  • Conciseness: Keep the information in the infobox concise and to the point. Detailed explanations should be provided in the main article body.
  • Parameter Order: While the order of parameters doesn’t technically matter, it is good practice to follow the order presented above for consistency.
  • Empty Parameters: If a parameter is not applicable to the mathematical object, simply omit it from the infobox. Do not leave it blank.
  • Templates within Templates: You can utilize other templates *within* the infobox, provided they are appropriate and contribute to the clarity of the information.
  • Error Handling: If you encounter errors, double-check your syntax and parameter names. Consult the template documentation (Template:Infobox mathematical object/doc) for further assistance.

Examples

Example 1: Fibonacci Sequence

```wiki Template loop detected: Template:Infobox mathematical object ```

Example 2: Euclidean Space

```wiki Template loop detected: Template:Infobox mathematical object ```

Example 3: Group (mathematics)

```wiki Template loop detected: Template:Infobox mathematical object ```

Troubleshooting

  • Infobox Not Displaying: Ensure that the template name is spelled correctly (`Template loop detected: Template:Infobox mathematical object`). Check for syntax errors within the template code.
  • Incorrect LaTeX Rendering: Make sure you are using the
  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [365](https://www.latex-project.org/) and [366](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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  • Image Not Appearing: Confirm that the image filename is correct and that the image exists on Wikimedia Commons or the local wiki. Check the image license.
  • Parameters Not Working: Double-check the parameter names against the list above. Parameter names are case-insensitive, but using the standardized names is recommended.
  • Infobox Formatting Issues: Inspect the template code for any misplaced brackets or other syntax errors. Try clearing your browser cache.

Further Resources

Strategies, Technical Analysis, Indicators, and Trends

For those interested in applying mathematical concepts to real-world scenarios, particularly in finance, consider exploring these areas:

```

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Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners ```

Example 2: Euclidean Space

```wiki ```wiki Template:Infobox template

Template:Infobox mathematical object is a standardized infobox designed for use on Wikipedia and other MediaWiki-based wikis to succinctly present key information about mathematical objects. This includes, but is not limited to, functions, sets, spaces, structures, theorems, and concepts. This article provides a comprehensive guide to using and understanding this template, aimed at beginners with limited experience in MediaWiki editing. It will cover the available parameters, best practices, examples, and troubleshooting tips. Understanding how to utilize this template effectively will contribute to consistent and informative articles across mathematical topics.

Purpose and Benefits

The primary goal of this infobox is to provide readers with a quick overview of a mathematical object’s essential characteristics. This allows for rapid comprehension, especially for readers unfamiliar with the specific topic. Benefits include:

  • Consistency: Standardizes the presentation of information, making articles more easily navigable and comparable.
  • Readability: Presents key data in a visually appealing and organized format.
  • Accessibility: Facilitates quick access to core properties and definitions.
  • Maintainability: Simplifies updates and revisions of information.
  • Interoperability: Allows for potential automated data extraction and analysis.

Basic Usage

The template is invoked using the following syntax:

```wiki Template loop detected: Template:Infobox mathematical object ```

Each line represents a parameter-value pair. Parameter names are case-insensitive, but it is good practice to use the standardized names outlined below. Values should be appropriate for the parameter type.

Available Parameters

The following parameters are available within the Template:Infobox mathematical object. Parameters marked with an asterisk (*) are considered essential for a complete and informative infobox.

  • name* : The name of the mathematical object. This is the primary identifier and should be clear and unambiguous. (e.g., "Fibonacci sequence", "Euclidean space", "Group (mathematics)")
  • image : The filename of an image relevant to the object. (e.g., "Fibonacci spiral.svg", "EuclideanSpace.png") Images should be appropriately licensed and relevant.
  • caption : A brief description of the image.
  • alt : Alternative text for the image, used for accessibility.
  • type : The general type of mathematical object. (e.g., "Sequence", "Space", "Algebraic Structure", "Theorem")
  • field : The branch of mathematics to which the object belongs. (e.g., "Number theory", "Topology", "Abstract algebra", "Analysis")
  • definedby* : A concise definition of the object. This should be a formal mathematical definition, if possible. Use
  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [393](https://www.latex-project.org/) and [394](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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Join Our Community

Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners for LaTeX rendering. (e.g., "

  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [421](https://www.latex-project.org/) and [422](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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  • notation : Common notation used to represent the object. (e.g., "ℝ", "ℤ", "lim")
  • firstappearance : The earliest known appearance of the object in mathematical literature. Use a year or a specific publication. (e.g., "1202", "Leonardo Pisano's *Liber Abaci*")
  • discoverer : The mathematician(s) credited with discovering or developing the object. (e.g., "Leonardo Pisano", "Euclid", "Bernhard Riemann")
  • properties : A list of key properties of the object, separated by semicolons (;). (e.g., "Recursive; Additive; Closed under addition")
  • relatedconcepts : Related mathematical concepts, separated by semicolons (;). Use internal links to other Wikipedia articles whenever possible. (e.g., "Golden ratio; Continued fraction; Lucas sequence")
  • applications : Real-world or theoretical applications of the object, separated by semicolons (;). (e.g., "Computer science; Finance; Nature")
  • parent : A broader mathematical object that encompasses this one. (e.g., "Field (mathematics)", "Topological space")
  • child : A more specific mathematical object derived from this one. (e.g., "Real number", "Metric space")
  • seealso : Additional related articles. Use internal links. (e.g., "Mathematical analysis; Discrete mathematics")
  • references : Citations to sources that support the information in the infobox. Use Template:Ref list to format the references.

Advanced Usage and Tips

  • LaTeX Rendering: Use the
  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [449](https://www.latex-project.org/) and [450](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [477](https://www.latex-project.org/) and [478](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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  • Internal Linking: Whenever possible, use internal links (link) to connect to other relevant Wikipedia articles. This improves navigability and provides readers with further information. Consider linking to concepts like Calculus, Linear Algebra, Probability theory, Differential equations, Geometry, Trigonometry, Statistics, Set theory, Mathematical logic, and Number theory.
  • Semicolon Separation: When listing multiple items in parameters like 'properties', 'relatedconcepts', or 'applications', separate them with semicolons (;).
  • Image Selection: Choose images that are clear, relevant, and appropriately licensed. Avoid using images that are too small or difficult to understand.
  • Conciseness: Keep the information in the infobox concise and to the point. Detailed explanations should be provided in the main article body.
  • Parameter Order: While the order of parameters doesn’t technically matter, it is good practice to follow the order presented above for consistency.
  • Empty Parameters: If a parameter is not applicable to the mathematical object, simply omit it from the infobox. Do not leave it blank.
  • Templates within Templates: You can utilize other templates *within* the infobox, provided they are appropriate and contribute to the clarity of the information.
  • Error Handling: If you encounter errors, double-check your syntax and parameter names. Consult the template documentation (Template:Infobox mathematical object/doc) for further assistance.

Examples

Example 1: Fibonacci Sequence

```wiki Template loop detected: Template:Infobox mathematical object ```

Example 2: Euclidean Space

```wiki Template loop detected: Template:Infobox mathematical object ```

Example 3: Group (mathematics)

```wiki Template loop detected: Template:Infobox mathematical object ```

Troubleshooting

  • Infobox Not Displaying: Ensure that the template name is spelled correctly (`Template loop detected: Template:Infobox mathematical object`). Check for syntax errors within the template code.
  • Incorrect LaTeX Rendering: Make sure you are using the
  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [505](https://www.latex-project.org/) and [506](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners template correctly to enclose mathematical expressions. Verify that the LaTeX code is valid.

  • Image Not Appearing: Confirm that the image filename is correct and that the image exists on Wikimedia Commons or the local wiki. Check the image license.
  • Parameters Not Working: Double-check the parameter names against the list above. Parameter names are case-insensitive, but using the standardized names is recommended.
  • Infobox Formatting Issues: Inspect the template code for any misplaced brackets or other syntax errors. Try clearing your browser cache.

Further Resources

Strategies, Technical Analysis, Indicators, and Trends

For those interested in applying mathematical concepts to real-world scenarios, particularly in finance, consider exploring these areas:

```

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Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners ```

Example 3: Group (mathematics)

```wiki ```wiki Template:Infobox template

Template:Infobox mathematical object is a standardized infobox designed for use on Wikipedia and other MediaWiki-based wikis to succinctly present key information about mathematical objects. This includes, but is not limited to, functions, sets, spaces, structures, theorems, and concepts. This article provides a comprehensive guide to using and understanding this template, aimed at beginners with limited experience in MediaWiki editing. It will cover the available parameters, best practices, examples, and troubleshooting tips. Understanding how to utilize this template effectively will contribute to consistent and informative articles across mathematical topics.

Purpose and Benefits

The primary goal of this infobox is to provide readers with a quick overview of a mathematical object’s essential characteristics. This allows for rapid comprehension, especially for readers unfamiliar with the specific topic. Benefits include:

  • Consistency: Standardizes the presentation of information, making articles more easily navigable and comparable.
  • Readability: Presents key data in a visually appealing and organized format.
  • Accessibility: Facilitates quick access to core properties and definitions.
  • Maintainability: Simplifies updates and revisions of information.
  • Interoperability: Allows for potential automated data extraction and analysis.

Basic Usage

The template is invoked using the following syntax:

```wiki Template loop detected: Template:Infobox mathematical object ```

Each line represents a parameter-value pair. Parameter names are case-insensitive, but it is good practice to use the standardized names outlined below. Values should be appropriate for the parameter type.

Available Parameters

The following parameters are available within the Template:Infobox mathematical object. Parameters marked with an asterisk (*) are considered essential for a complete and informative infobox.

  • name* : The name of the mathematical object. This is the primary identifier and should be clear and unambiguous. (e.g., "Fibonacci sequence", "Euclidean space", "Group (mathematics)")
  • image : The filename of an image relevant to the object. (e.g., "Fibonacci spiral.svg", "EuclideanSpace.png") Images should be appropriately licensed and relevant.
  • caption : A brief description of the image.
  • alt : Alternative text for the image, used for accessibility.
  • type : The general type of mathematical object. (e.g., "Sequence", "Space", "Algebraic Structure", "Theorem")
  • field : The branch of mathematics to which the object belongs. (e.g., "Number theory", "Topology", "Abstract algebra", "Analysis")
  • definedby* : A concise definition of the object. This should be a formal mathematical definition, if possible. Use
  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [533](https://www.latex-project.org/) and [534](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [561](https://www.latex-project.org/) and [562](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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  • notation : Common notation used to represent the object. (e.g., "ℝ", "ℤ", "lim")
  • firstappearance : The earliest known appearance of the object in mathematical literature. Use a year or a specific publication. (e.g., "1202", "Leonardo Pisano's *Liber Abaci*")
  • discoverer : The mathematician(s) credited with discovering or developing the object. (e.g., "Leonardo Pisano", "Euclid", "Bernhard Riemann")
  • properties : A list of key properties of the object, separated by semicolons (;). (e.g., "Recursive; Additive; Closed under addition")
  • relatedconcepts : Related mathematical concepts, separated by semicolons (;). Use internal links to other Wikipedia articles whenever possible. (e.g., "Golden ratio; Continued fraction; Lucas sequence")
  • applications : Real-world or theoretical applications of the object, separated by semicolons (;). (e.g., "Computer science; Finance; Nature")
  • parent : A broader mathematical object that encompasses this one. (e.g., "Field (mathematics)", "Topological space")
  • child : A more specific mathematical object derived from this one. (e.g., "Real number", "Metric space")
  • seealso : Additional related articles. Use internal links. (e.g., "Mathematical analysis; Discrete mathematics")
  • references : Citations to sources that support the information in the infobox. Use Template:Ref list to format the references.

Advanced Usage and Tips

  • LaTeX Rendering: Use the
  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [589](https://www.latex-project.org/) and [590](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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Join Our Community

Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners template to render mathematical formulas and symbols correctly. For example, `

  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [617](https://www.latex-project.org/) and [618](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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  • Internal Linking: Whenever possible, use internal links (link) to connect to other relevant Wikipedia articles. This improves navigability and provides readers with further information. Consider linking to concepts like Calculus, Linear Algebra, Probability theory, Differential equations, Geometry, Trigonometry, Statistics, Set theory, Mathematical logic, and Number theory.
  • Semicolon Separation: When listing multiple items in parameters like 'properties', 'relatedconcepts', or 'applications', separate them with semicolons (;).
  • Image Selection: Choose images that are clear, relevant, and appropriately licensed. Avoid using images that are too small or difficult to understand.
  • Conciseness: Keep the information in the infobox concise and to the point. Detailed explanations should be provided in the main article body.
  • Parameter Order: While the order of parameters doesn’t technically matter, it is good practice to follow the order presented above for consistency.
  • Empty Parameters: If a parameter is not applicable to the mathematical object, simply omit it from the infobox. Do not leave it blank.
  • Templates within Templates: You can utilize other templates *within* the infobox, provided they are appropriate and contribute to the clarity of the information.
  • Error Handling: If you encounter errors, double-check your syntax and parameter names. Consult the template documentation (Template:Infobox mathematical object/doc) for further assistance.

Examples

Example 1: Fibonacci Sequence

```wiki Template loop detected: Template:Infobox mathematical object ```

Example 2: Euclidean Space

```wiki Template loop detected: Template:Infobox mathematical object ```

Example 3: Group (mathematics)

```wiki Template loop detected: Template:Infobox mathematical object ```

Troubleshooting

  • Infobox Not Displaying: Ensure that the template name is spelled correctly (`Template loop detected: Template:Infobox mathematical object`). Check for syntax errors within the template code.
  • Incorrect LaTeX Rendering: Make sure you are using the
  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [645](https://www.latex-project.org/) and [646](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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  • Image Not Appearing: Confirm that the image filename is correct and that the image exists on Wikimedia Commons or the local wiki. Check the image license.
  • Parameters Not Working: Double-check the parameter names against the list above. Parameter names are case-insensitive, but using the standardized names is recommended.
  • Infobox Formatting Issues: Inspect the template code for any misplaced brackets or other syntax errors. Try clearing your browser cache.

Further Resources

Strategies, Technical Analysis, Indicators, and Trends

For those interested in applying mathematical concepts to real-world scenarios, particularly in finance, consider exploring these areas:

```

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Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners ```

Troubleshooting

  • Infobox Not Displaying: Ensure that the template name is spelled correctly (````wiki

Template:Infobox template

Template:Infobox mathematical object is a standardized infobox designed for use on Wikipedia and other MediaWiki-based wikis to succinctly present key information about mathematical objects. This includes, but is not limited to, functions, sets, spaces, structures, theorems, and concepts. This article provides a comprehensive guide to using and understanding this template, aimed at beginners with limited experience in MediaWiki editing. It will cover the available parameters, best practices, examples, and troubleshooting tips. Understanding how to utilize this template effectively will contribute to consistent and informative articles across mathematical topics.

Purpose and Benefits

The primary goal of this infobox is to provide readers with a quick overview of a mathematical object’s essential characteristics. This allows for rapid comprehension, especially for readers unfamiliar with the specific topic. Benefits include:

  • Consistency: Standardizes the presentation of information, making articles more easily navigable and comparable.
  • Readability: Presents key data in a visually appealing and organized format.
  • Accessibility: Facilitates quick access to core properties and definitions.
  • Maintainability: Simplifies updates and revisions of information.
  • Interoperability: Allows for potential automated data extraction and analysis.

Basic Usage

The template is invoked using the following syntax:

```wiki Template loop detected: Template:Infobox mathematical object ```

Each line represents a parameter-value pair. Parameter names are case-insensitive, but it is good practice to use the standardized names outlined below. Values should be appropriate for the parameter type.

Available Parameters

The following parameters are available within the Template:Infobox mathematical object. Parameters marked with an asterisk (*) are considered essential for a complete and informative infobox.

  • name* : The name of the mathematical object. This is the primary identifier and should be clear and unambiguous. (e.g., "Fibonacci sequence", "Euclidean space", "Group (mathematics)")
  • image : The filename of an image relevant to the object. (e.g., "Fibonacci spiral.svg", "EuclideanSpace.png") Images should be appropriately licensed and relevant.
  • caption : A brief description of the image.
  • alt : Alternative text for the image, used for accessibility.
  • type : The general type of mathematical object. (e.g., "Sequence", "Space", "Algebraic Structure", "Theorem")
  • field : The branch of mathematics to which the object belongs. (e.g., "Number theory", "Topology", "Abstract algebra", "Analysis")
  • definedby* : A concise definition of the object. This should be a formal mathematical definition, if possible. Use
  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [673](https://www.latex-project.org/) and [674](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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Join Our Community

Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners for LaTeX rendering. (e.g., "

  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [701](https://www.latex-project.org/) and [702](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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  • notation : Common notation used to represent the object. (e.g., "ℝ", "ℤ", "lim")
  • firstappearance : The earliest known appearance of the object in mathematical literature. Use a year or a specific publication. (e.g., "1202", "Leonardo Pisano's *Liber Abaci*")
  • discoverer : The mathematician(s) credited with discovering or developing the object. (e.g., "Leonardo Pisano", "Euclid", "Bernhard Riemann")
  • properties : A list of key properties of the object, separated by semicolons (;). (e.g., "Recursive; Additive; Closed under addition")
  • relatedconcepts : Related mathematical concepts, separated by semicolons (;). Use internal links to other Wikipedia articles whenever possible. (e.g., "Golden ratio; Continued fraction; Lucas sequence")
  • applications : Real-world or theoretical applications of the object, separated by semicolons (;). (e.g., "Computer science; Finance; Nature")
  • parent : A broader mathematical object that encompasses this one. (e.g., "Field (mathematics)", "Topological space")
  • child : A more specific mathematical object derived from this one. (e.g., "Real number", "Metric space")
  • seealso : Additional related articles. Use internal links. (e.g., "Mathematical analysis; Discrete mathematics")
  • references : Citations to sources that support the information in the infobox. Use Template:Ref list to format the references.

Advanced Usage and Tips

  • LaTeX Rendering: Use the
  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [729](https://www.latex-project.org/) and [730](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners template to render mathematical formulas and symbols correctly. For example, `

  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [757](https://www.latex-project.org/) and [758](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners` will display as $x^2 + y^2 = r^2$.

  • Internal Linking: Whenever possible, use internal links (link) to connect to other relevant Wikipedia articles. This improves navigability and provides readers with further information. Consider linking to concepts like Calculus, Linear Algebra, Probability theory, Differential equations, Geometry, Trigonometry, Statistics, Set theory, Mathematical logic, and Number theory.
  • Semicolon Separation: When listing multiple items in parameters like 'properties', 'relatedconcepts', or 'applications', separate them with semicolons (;).
  • Image Selection: Choose images that are clear, relevant, and appropriately licensed. Avoid using images that are too small or difficult to understand.
  • Conciseness: Keep the information in the infobox concise and to the point. Detailed explanations should be provided in the main article body.
  • Parameter Order: While the order of parameters doesn’t technically matter, it is good practice to follow the order presented above for consistency.
  • Empty Parameters: If a parameter is not applicable to the mathematical object, simply omit it from the infobox. Do not leave it blank.
  • Templates within Templates: You can utilize other templates *within* the infobox, provided they are appropriate and contribute to the clarity of the information.
  • Error Handling: If you encounter errors, double-check your syntax and parameter names. Consult the template documentation (Template:Infobox mathematical object/doc) for further assistance.

Examples

Example 1: Fibonacci Sequence

```wiki Template loop detected: Template:Infobox mathematical object ```

Example 2: Euclidean Space

```wiki Template loop detected: Template:Infobox mathematical object ```

Example 3: Group (mathematics)

```wiki Template loop detected: Template:Infobox mathematical object ```

Troubleshooting

  • Infobox Not Displaying: Ensure that the template name is spelled correctly (`Template loop detected: Template:Infobox mathematical object`). Check for syntax errors within the template code.
  • Incorrect LaTeX Rendering: Make sure you are using the
  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [785](https://www.latex-project.org/) and [786](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners template correctly to enclose mathematical expressions. Verify that the LaTeX code is valid.

  • Image Not Appearing: Confirm that the image filename is correct and that the image exists on Wikimedia Commons or the local wiki. Check the image license.
  • Parameters Not Working: Double-check the parameter names against the list above. Parameter names are case-insensitive, but using the standardized names is recommended.
  • Infobox Formatting Issues: Inspect the template code for any misplaced brackets or other syntax errors. Try clearing your browser cache.

Further Resources

Strategies, Technical Analysis, Indicators, and Trends

For those interested in applying mathematical concepts to real-world scenarios, particularly in finance, consider exploring these areas:

```

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Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners`). Check for syntax errors within the template code.

  • Incorrect LaTeX Rendering: Make sure you are using the
  1. Template:Math – A Beginner's Guide to Mathematical Formatting in MediaWiki

This article provides a comprehensive guide to using the `Template:Math` in MediaWiki, enabling you to display complex mathematical formulas and notations beautifully within your wiki pages. It's designed for users with little to no prior experience with LaTeX or mathematical typesetting. We will cover the fundamentals, common symbols, advanced features, troubleshooting, and best practices. This guide assumes you are using MediaWiki 1.40 or a later version, which supports the necessary extensions.

What is Template:Math?

`Template:Math` is a MediaWiki template that allows you to render mathematical expressions using LaTeX (a widely used typesetting system for scientific and mathematical documents). MediaWiki itself doesn’t natively understand mathematical notation; it needs a way to interpret and display it correctly. `Template:Math` acts as a bridge, converting your LaTeX code into visually appealing mathematical formulas that can be viewed in a web browser.

Essentially, it provides two main ways to display math:

  • **Inline Math:** Formulas that appear *within* a line of text. These are typically used for simple equations or variables. Enclosed in single dollar signs (`$ ... $`).
  • **Display Math:** Formulas that are displayed on a separate line, centered, and often with more spacing. These are used for more complex equations or theorems. Enclosed in double dollar signs (`$$ ... $$`).

Prerequisites

Before you start using `Template:Math`, ensure the following:

  • **LaTeX Support:** Your MediaWiki installation must have the `math` extension enabled. This is usually handled by the wiki administrator. If you’re unsure, contact them. Without this extension, `Template:Math` will simply display the raw LaTeX code instead of rendering the formula.
  • **Basic LaTeX Knowledge (Recommended):** While this guide aims to get you started without extensive LaTeX knowledge, understanding the basics will significantly enhance your ability to create complex formulas. Resources like [813](https://www.latex-project.org/) and [814](https://en.wikibooks.org/wiki/LaTeX) are excellent starting points.
  • **Understanding of Mathematical Notation:** A basic understanding of the mathematical concepts you are trying to represent is crucial.

Basic Syntax

The core syntax for using `Template:Math` is straightforward:

  • **Inline Math:** `$ equation $`
  • **Display Math:** `$$ equation $$`

Replace "equation" with your LaTeX code. For example:

  • `$E = mc^2$` renders as $E = mc^2$
  • `$$ \int_a^b f(x) \, dx = F(b) - F(a) $$` renders as
   $$ \int_a^b f(x) \, dx = F(b) - F(a) $$

Common Mathematical Symbols

Here's a table of commonly used LaTeX symbols and their corresponding MediaWiki/Template:Math representations:

| **Symbol** | **LaTeX Code** | **Rendering** | **Description** | |---|---|---|---| | Plus | `+` | + | Addition | | Minus | `-` | - | Subtraction | | Times | `\times` | × | Multiplication | | Divide | `\div` or `/` | ÷ | Division | | Equals | `=` | = | Equality | | Not Equals | `\neq` | ≠ | Inequality | | Less Than | `<` | < | Less than | | Greater Than | `>` | > | Greater than | | Less Than or Equal To | `\leq` | ≤ | Less than or equal to | | Greater Than or Equal To | `\geq` | ≥ | Greater than or equal to | | Pi | `\pi` | π | Pi (3.14159...) | | Infinity | `\infty` | ∞ | Infinity | | Square Root | `\sqrt{x}` | √x | Square root of x | | Nth Root | `\sqrt[n]{x}` | ⁿ√x | Nth root of x | | Exponent | `x^n` | xⁿ | x raised to the power of n | | Subscript | `x_n` | xn | x with subscript n | | Superscript | `x^n` | xn | x with superscript n | | Summation | `\sum_{i=1}^n x_i` | ∑i=1n xi | Summation from i=1 to n | | Integral | `\int_a^b f(x) \, dx` | ∫ab f(x) dx | Integral from a to b | | Fraction | `\frac{a}{b}` | a/b | Fraction a over b | | Angle | `\angle` | ∠ | Angle | | Degree | `^\circ` | ° | Degree symbol | | Trigonometric Functions | `\sin(x)`, `\cos(x)`, `\tan(x)` | sin(x), cos(x), tan(x) | Sine, Cosine, Tangent | | Logarithm | `\log(x)` | log(x) | Logarithm | | Natural Logarithm | `\ln(x)` | ln(x) | Natural Logarithm | | Limit | `\lim_{x \to a} f(x)` | limx→a f(x) | Limit of f(x) as x approaches a | | Derivative | `\frac{df}{dx}` | df/dx | Derivative of f with respect to x |

Advanced Features

  • **Matrices:** Use the `\begin{matrix} ... \end{matrix}` environment. Separate elements with `&` (for columns) and `\\` (for rows). For example:
   `$$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$` renders as
   $$ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} $$
  • **Alignments:** For aligning multiple equations, use the `\begin{align} ... \end{align}` environment. Use `&` to specify the alignment point.
  • **Environments:** LaTeX offers numerous environments for specific mathematical structures (e.g., `cases` for piecewise functions, `array` for more complex matrices). Refer to LaTeX documentation for details.
  • **Greek Letters:** Use `\alpha`, `\beta`, `\gamma`, `\delta`, etc. For uppercase letters, use `\Alpha`, `\Beta`, `\Gamma`, `\Delta`, etc.
  • **Brackets and Parentheses:** Use `\left( ... \right)` for automatically sized brackets. For example: `\left( \frac{a}{b} \right)`
  • **Spacing:** Use `\,` for a small space, `\;` for a medium space, and `\:` for a large space. `\quad` and `\qquad` provide even larger spaces.
  • **Colors:** While direct color support within `Template:Math` might be limited depending on your MediaWiki configuration, you can sometimes use LaTeX color packages if your administrator has enabled them. Otherwise, consider using HTML color tags around the math formula.

Troubleshooting

  • **Formula Not Rendering:** The most common issue is the `math` extension not being enabled. Confirm with your wiki administrator. Also, ensure your LaTeX code is syntactically correct. Missing brackets or incorrect commands can cause errors.
  • **Garbled Output:** This often indicates a problem with the LaTeX code itself. Check for typos and ensure you are using the correct commands. Try simplifying the equation to isolate the source of the error.
  • **Incorrect Spacing:** Adjust spacing using `\,`, `\;`, `\:` , `\quad`, or `\qquad`.
  • **Symbols Not Displaying:** Ensure you are using the correct LaTeX command for the symbol you want to display. Consult a LaTeX symbol list (see Resources section).
  • **Conflicts with Other Templates:** If you're using other templates on the same page, there might be conflicts. Try isolating the `Template:Math` code to see if it renders correctly on its own.

Best Practices

  • **Keep it Simple:** Avoid overly complex formulas if possible. Break down complicated expressions into smaller, more manageable parts.
  • **Use Comments:** Add comments to your LaTeX code (using `%`) to explain what each part of the formula does. This makes it easier to understand and maintain.
  • **Test Frequently:** Preview your changes often to ensure the formulas are rendering correctly.
  • **Use Inline Math Sparingly:** Excessive inline math can make the text difficult to read. Use display math for more complex equations.
  • **Accessibility:** Consider providing alternative text descriptions for complex formulas to improve accessibility for users with visual impairments.
  • **Consistent Formatting:** Maintain a consistent style throughout your wiki pages.

Resources


Help:Math

Template:Documentation

MediaWiki Help

LaTeX

MathJax

Extension:Math

Help:Formatting

Help:Wiki markup

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Join Our Community

Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners template correctly to enclose mathematical expressions. Verify that the LaTeX code is valid.

  • Image Not Appearing: Confirm that the image filename is correct and that the image exists on Wikimedia Commons or the local wiki. Check the image license.
  • Parameters Not Working: Double-check the parameter names against the list above. Parameter names are case-insensitive, but using the standardized names is recommended.
  • Infobox Formatting Issues: Inspect the template code for any misplaced brackets or other syntax errors. Try clearing your browser cache.

Further Resources

Strategies, Technical Analysis, Indicators, and Trends

For those interested in applying mathematical concepts to real-world scenarios, particularly in finance, consider exploring these areas:

```

Start Trading Now

Sign up at IQ Option (Minimum deposit $10) Open an account at Pocket Option (Minimum deposit $5)

Join Our Community

Subscribe to our Telegram channel @strategybin to receive: ✓ Daily trading signals ✓ Exclusive strategy analysis ✓ Market trend alerts ✓ Educational materials for beginners

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