Coding Guide in MathJax (LaTeX)

Contributors:

Erica Madebeykin
PGDip Researcher

Nikita Madebeykin
ML Engineer

Creation Date:
October 24, 2024

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*Ongoing Development*

MathJax (LaTeX) Basic Tutorials and Coding Guide

✅ Useful code snippets and explanations for understanding and documenting with MathJax (LaTeX). Perfect for students, educators, and programmers! 😻

Just click the "copy code" button below 'markdown'!

1.1. Ellipses in Different Use Cases

1.1.1 Ellipsis Centered : "\cdots"

Centered Ellipsis : "\cdots"

Example Use Case: Sequences in Summation

• In the contexts where terms are arranged in a sequence horizontally (such as in summation formulas), ( \cdots ) can be used to indicate continuation.

$$\sum _{i=1}^n{a}_i=a_1+a_2+\cdots +a_n$$

 $$
 \sum_{i=1}^n a_i = a_1 + a_2 + \cdots + a_n
 $$

Other Use Cases of Centered Ellipsis:

1. Products:

   • When indicating a product of several factors, ( \cdots ) is used to represent multiplication.

   Product of several factors, for example:

   $$a_1\cdot a_2\cdots a_n$$

   • This suggests a multiplication of the terms from ( a_1 ) to ( a_n ).

    $$
    a_1 \cdot a_2 \cdots a_n
    $$

2. Matrices:

   • In matrix notation, ( \cdots ) can be used to indicate the continuation of entries in a row.

   Matrix Notation example:

   $$\left[\begin{array}{cccc}1& 2& \cdots & n\\ a& b& \cdots & z\end{array}\right]$$

   • This shows that the entries continue horizontally.

    $$
    \begin{bmatrix}
    1 & 2 & \cdots & n \\
    a & b & \cdots & z
    \end{bmatrix}
    $$

1.1.2 Ellipsis Horizontal : "\ldots"

Horizontal Ellipsis : "\ldots" for "lowered dots"

Example:

$$1,2,\dots ,n$$

1.1.3 Ellipsis Vertical : "\vdots"

Vertical Ellipsis: "\vdots"

Example:

$$\left(\begin{array}{c}a\\ ⋮\\ c\end{array}\right)$$

1.1.4 Ellipsis Diagonal : "\ddots"

Diagonal Ellipsis: "\ddots"

Example:

$$\left(\begin{array}{ccc}a& b& c\\ \ddots & e& f\\ g& h& i\end{array}\right)$$

1.2 Space Commands

1.2.1 Single Space

Space (Quad): "\quad"

Example:

$$x+yz$$

1.2.2 Double Space

Double Space (Double Quad): "\qquad"

Example:

$$x+yz$$