From 9660252a4d64c1f5d0c86ce376f0a0b50da696f4 Mon Sep 17 00:00:00 2001
From: Niklas Fischer <nikii17.06@gmail.com>
Date: Tue, 18 Oct 2022 11:09:29 +0200
Subject: [PATCH] :books:Updated LaTeX (#137)+:page_with_curl:Added
 .markdownlint and cspell (#193)

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 .github/Docs/LaTeX.md                         | 529 ++++++++++++++++++
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 .markdownlint.json                            |   6 +
 .vscode/cspell.json                           |  49 ++
 README.md                                     |  17 +-
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diff --git a/.github/Docs/KaTeX.md b/.github/Docs/KaTeX.md
deleted file mode 100644
index c797e38..0000000
--- a/.github/Docs/KaTeX.md
+++ /dev/null
@@ -1,452 +0,0 @@
-# LaTeX
-
-Repeatio uses KaTeX/LaTeX to render mathematical functions.
-
-<!-- Wikipedia like table -->
-<!-- Weird combination of spans because github adds weird padding to list elements -->
-<table>
-  <tr>
-   <th>Table of Content</th>
-  </tr>
-   <tr>
-    <td>
-      <b>
-      <span>1. <a href="#1-general">General</a></span> </br >
-      <span>1.1 <a href="#11-inline-functions">Inline Functions</a></span> </br >
-      <span>1.2 <a href="#12-multiline-functions">Multiline Functions</a></span> </br >
-      <span>2. <a href="#2-fractions-and-binomials">Fractions and Binomials</a></span> </br >
-      <span>3. <a href="#3-power-and-indices">Power and Indices</a></span> </br >
-      <span>4. <a href="#4-roots">Roots</a></span> </br >
-      <span>5. <a href="#5-operators">Operators</a></span> </br >
-      <span>6. <a href="#6-sums-and-integrals">Sums and Integrals</a></span> </br >
-      <span>7. <a href="#7-brackets">Brackets</a></span> </br >
-      <span>8. <a href="#8-accents">Accents</a></span> </br >
-      <span>9. <a href="#9-arrows">Arrows</a></span> </br >
-      <span>10. <a href="#10-greek-letters">Greek letters</a></span> </br >
-      <span>11. <a href="#11-environments">Environments</a></span> </br >
-      <span>12. <a href="#12-misc">Misc</a></span> </br >
-      <span>13. <a href="#13-sources-and-more-types">Sources and more Types</a></span> </br >
-      </b>
-    </td>
-   </tr>
-</table>
-
-## 1. General
-
-Replace the normal LaTeX syntax for slashes `\` with `\\`.
-
-If the function should be alone in a line use line breaks (`\n\n` or `<br />`) before and after the function.
-
-### 1.1 Inline Functions
-
-LaTeX inline functions are written between single dollar signs `$...$`.
-
-**_Example_**  
-Calculate $x$:
-
-$x =\frac{\sqrt{20}}{3\times(5-10)^2}$
-
-Round to 2 decimal places.
-
-<details>
-  <summary><b>Code</b></summary>
-
-```latex
-Calculate $x$:\n\n
-$x =\\frac{\\sqrt{20}}{3\\times(5-10)^2}$\n\n
-Round to 2 decimal places.
-```
-
-</details>
-
-### 1.2 Multiline Functions
-
-LaTeX multiline functions are written between double dollar signs `$$\n...\n$$`.  
-For a new line in the function use `\\\\`.  
-The **line breaks are required**. Without them the formula will break!  
-Multiline functions will center themselves automatically. Aligning equations with `&=`.
-
-**_Example_**  
-Calculate
-$x^2+3x+2 = 0$
-
-$$
-\begin{align}
-x_{1,2} &= -\left(\frac{3}{2}\right) \pm \sqrt{ \left(\frac{3}{2}\right)^{2}-2} \\
-x_{1,2} &= -1,5 \pm \sqrt{2,25 - 2} \\
-\vdots \nonumber \\
-x_1 &= -2 \\
-x_2 &= -1 \nonumber
-\end{align}
-$$
-
-<details>
-  <summary><b>Code</b></summary>
-
-```latex
-Calculate $x^2+3x+2 = 0$\n\n
-$$\n
-\\begin{align}
-x_{1,2} &= -\\left(\\frac{3}{2}\\right) \\pm \\sqrt{ \\left(\\frac{3}{2}\\right)^{2}-2} \\\\
-x_{1,2} &= -1,5 \\pm \\sqrt{2,25 - 2} \\\\
-\\vdots \\nonumber \\\\
-x_1 &= -2 \\\\
-x_2 &= -1 \\nonumber
-\\end{align} \n
-$$
-```
-
-</details>
-
-## 2. Fractions and Binomials
-
-| Type                  | Input                                 | Result                           |
-|:--------------------- | :------------------------------------ |:---------------------------------|
-| Fraction              | ```$\\frac{n}{k}$```                  |     $\frac{n}{k}$                |
-| Fraction (advanced)   | ```$\\frac{n!}{k!(n-k)!}$```          |     $\frac{n!}{k!(n-k)!}$        |
-| Binomial coefficient  | ```$\\binom{n}{k}$```                 |     $\binom{n}{k}$               |
-| Fraction in Fraction  | ```$\\frac{\\frac{x}{1}}{x - y}$```   |     $\frac{\frac{x}{1}}{x - y}$  |
-| Fraction              | ```$^x/_y$```                         |     $^x/_y$                      |
-
-## 3. Power and Indices
-
-| Type                      | Input                        | Result                 |
-| :------------------------ | :--------------------------- |:----------------------- |
-| Superscript               | ```$n^2$```                  |     $n^2$              |
-| Superscript (advanced)    | ```$n^{2+k}$```              |     $n^{2+k}$          |
-| Subscript                 | ```$k_n$```                  |     $k_n$              |
-| Subscript (advanced)      | ```$k_{n+1}$```              |     $k_{n+1}$          |
-| Sup-/Subscript            | ```$k_n^2$```                |     $k_n^2$            |
-
-## 4. Roots
-
-| Type                      | Input                        | Result                     |
-| :------------------------ | :--------------------------- |:---------------------------|
-| Square root               | ```$\\sqrt{k}$```            |    $\sqrt{k}$              |
-| Square root with exponent | ```$\\sqrt[n]{k}$```         |    $\sqrt[n]{k}$           |
-
-## 5. Operators
-
-| Type                  | Input                        | Result                     |
-| :-------------------- | :--------------------------- |:---------------------------|
-| Plus                  | ```$+$```                    |     $+$                    |
-| Minus                 | ```$-$```                    |     $-$                    |
-| Multiplied by         | ```$\\times$```              |     $\times$               |
-| Divided by            | ```$\\div$```                |     $\div$                 |
-| Comma                 | ```$,$```                    |     $,$                    |
-| Colon                 | ```$:$```                    |     $:$                    |
-| Semicolon             | ```$;$```                    |     $;$                    |
-| Exclamation           | ```$!$```                    |     $!$                    |
-| Horizontal dots       | ```$\\dots$```               |     $\dots$                |
-| Vertical dots         | ```$\\vdots$```              |     $\vdots$               |
-| Diagonal dots         | ```$\\ddots$```              |     $\ddots$               |
-| Sinus                 | ```$\\sin$```                |     $\sin$                 |
-| Cosine                | ```$\\cos$```                |     $\cos$                 |
-| Tangent               | ```$\\tan$```                |     $\tan$                 |
-| Limit                 | ```$\\lim$```                |     $\lim$                 |
-| Exponential function  | ```$\\exp$```                |     $\exp$                 |
-| Mod                   | ```$\\bmod$```               |     $\bmod$                |
-| Infinity              | ```$\\infty$```              |     $\infty$               |
-| Equivalent            | ```$\\equiv$```              |     $\equiv$               |
-| Not equal             | ```$\\ne$```                 |     $\ne$                  |
-| Approximately         | ```$\\approx$```             |     $\approx$              |
-| Less than             | ```$\\leq$```                |     $<$                    |
-| Less or equal than    | ```$\\leq$```                |     $\leq$                 |
-| Greater than          | ```$\\geq$```                |     $>$                    |
-| Greater or equal than | ```$\\geq$```                |     $\geq$                 |
-| Not                   | ```$\\neg$```                |     $\neg$                 |
-
-## 6. Sums and Integrals
-
-| Type                 | Text                                                  | Result                                         |
-| :------------------- | :---------------------------------------------------- |:-----------------------------------------------|
-| Summation            | ```$\\sum$```                                         |    $\sum$                                      |
-| Summation (advanced) | ```$\\sum\\limits_{i=0}^n f(x)$```                    |    $\sum\limits_{i=0}^n f(x)$                  |
-| Integral             | ```$\int$```                                          |    $\int$                                      |
-| Integral (advanced)  | ```$\\int_0^\\infty \\mathrm{e}^{-x},\\mathrm{d}x$``` |    $\int_0^\infty \mathrm{e}^{-x},\mathrm{d}x$ |
-| Integral (limit)     | ```$\\int\\limits_a^b$```                             |    $\int\limits_a^b$                           |
-| Integral (double)    | ```$\\iint$```                                        |    $\iint$                                     |
-| Integral (triple)    | ```$\\iiint$```                                       |    $\iiint$                                    |
-| Product              | ```$\\prod$```                                        |    $\prod$                                     |
-| Coproduct            | ```$\\coprod$```                                      |    $\coprod$                                   |
-| Bigoplus             | ```$\\bigoplus$```                                    |    $\bigoplus$                                 |
-| BigoTimes            | ```$\\bigotimes$```                                   |    $\bigotimes$                                |
-| Bigodot              | ```$\\bigodot$```                                     |    $\bigodot$                                  |
-| Plus-Minus           | ```$\\pm$```                                          |    $\pm$                                       |
-
-## 7. Brackets
-
-| Type                 | Input                                | Result                        |
-| :------------------- | :----------------------------------- | :---------------------------- |
-| Parenthesis          | ```$(a)$```                          |  $(a)$                        |
-| parenthesis (bigger) | ```$\\left(\\frac{a^2}{2}\\right)``` |  $\left(\frac{a^2}{2}\right)$ |
-| Bracket              | ```$[a]$```                          |  $[a]$                        |
-| Brace                | ```$\\{a\\}$```                      |  {a}                          |
-| Angle bracket        | ```$\\langle f \\rangle$```          |  $\langle f \rangle$          |
-| Floor                | ```$\\lfloor f \\rfloor$```          |  $\lfloor f \rfloor$          |
-| Ceiling              | ```$\\lceil f \\rceil$```            |  $\lceil f \rceil$            |
-
-## 8. Accents
-
-| Input                        | Result                     |
-| :--------------------------- |:---------------------------|
-| ```$a^{\\prime}$```          |    $a^{\prime}$            |
-| ```$a’$```                   |    $a’$                    |
-| ```$a’’$```                  |    $a’’$                   |
-| ```$a’’’$```                 |    $a’’’$                  |
-| ```$\\hat{a}$```             |    $\hat{a}$               |
-| ```$\\bar{a}$```             |    $\bar{a}$               |
-| ```$\\grave{a}$```           |    $\grave{a}$             |
-| ```$\\acute{a}$```           |    $\acute{a}$             |
-| ```$\\dot{a}$```             |    $\dot{a}$               |
-| ```$\\ddot{a}$```            |    $\ddot{a}$              |
-| ```$\\not{a}$```             |    $\not{a}$               |
-| ```$\\mathring{a}$```        |    $\mathring{a}$          |
-| ```$\\check{a}$```           |    $\check{a}$             |
-| ```$\\vec{a}$```             |    $\vec{a}$               |
-| ```$\\overrightarrow{AB}$``` |    $\overrightarrow{AB}$   |
-| ```$\\overleftarrow{AB}$```  |    $\overleftarrow{AB}$    |
-| ```$\\vec{F}$```             |    $\vec{F}$               |
-| ```$\\overline{aaa}$```      |    $\overline{aaa}$        |
-| ```$\\underline{a}$```       |    $\underline{a}$         |
-
-## 9. Arrows
-
-| Input                        | Result                     |
-| :--------------------------- |:---------------------------|
-| ```$\\to$```                 |     $\to$                  |
-| ```$\\uparrow$```            |     $\uparrow$             |
-| ```$\\downarrow$```          |     $\downarrow$           |
-| ```$\\updownarrow$```        |     $\updownarrow$         |
-| ```$\\Uparrow$```            |     $\Uparrow$             |
-| ```$\\Downarrow$```          |     $\Downarrow$           |
-
-## 10. Greek letters
-
-| Text                         | Result                     |
-| :--------------------------- |:---------------------------|
-| ```$\\alpha$```              |     $\alpha$               |
-| ```$A$```                    |     $A$                    |
-| ```$\\beta$```               |     $\beta$                |
-| ```$B$```                    |     $B$                    |
-| ```$\\gamma$```              |     $\gamma$               |
-| ```$\\Gamma$```              |     $\Gamma$               |
-| ```$\\delta$```              |     $\delta$               |
-| ```$\\Delta$```              |     $\Delta$               |
-| ```$\\epsilon$```            |     $\epsilon$             |
-| ```$\\Epsilon$```            |     $E$                    |
-| ```$\\zeta$```               |     $\zeta$                |
-| ```$\\Zeta$```               |     $Z$                    |
-| ```$\\eta$```                |     $\eta$                 |
-| ```$\\Eta$```                |     $H$                    |
-| ```$\\theta$```              |     $\theta$               |
-| ```$\\Theta$```              |     $\Theta$               |
-| ```$\\kappa$```              |     $\kappa$               |
-| ```$\\Kappa$```              |     $K$                    |
-| ```$\\lambda$```             |     $\lambda$              |
-| ```$\\Lambda$```             |     $\Lambda$              |
-| ```$\\mu$```                 |     $\mu$                  |
-| ```$\\Mu$```                 |     $M$                    |
-| ```$\\nu$```                 |     $\nu$                  |
-| ```$\\Nu$```                 |     $N$                    |
-| ```$\\xi$```                 |     $\xi$                  |
-| ```$\\Xi$```                 |     $\Xi$                  |
-| ```$\\pi$```                 |     $\pi$                  |
-| ```$\\Pi$```                 |     $\Pi$                  |
-| ```$\\rho$```                |     $\rho$                 |
-| ```$\\Rho$```                |     $P$                    |
-| ```$\\sigma$```              |     $\sigma$               |
-| ```$\\Sigma$```              |     $\Sigma$               |
-| ```$\\tau$```                |     $\tau$                 |
-| ```$\\au$```                 |     $T$                    |
-| ```$\\phi$```                |     $\phi$                 |
-| ```$\\Phi$```                |     $\Phi$                 |
-| ```$\\chi$```                |     $\chi$                 |
-| ```$\\Chi$```                |     $X$                    |
-| ```$\\psi$```                |     $\psi$                 |
-| ```$\\Psi$```                |     $\Psi$                 |
-| ```$\\omega$```              |     $\omega$               |
-| ```$\\Omega$```              |     $\Omega$               |
-| ```$\\varphi$```             |    $\varphi$               |
-
-## 11. Environments
-
-<table>
-  <tr>
-   <th>Type</th>
-   <th>Text</th>
-   <th>Result</th>
-  </tr>
-  <tr>
-    <td>
-      Matrix
-  </td>
-<td>
-
-```latex
-$$\n \\begin{matrix} a & b \\\\  c & d \\end{matrix}\n$$
-```
-
-  </td>
-  <td>
-
-$$
-\begin{matrix}
-   a & b \\
-   c & d
-\end{matrix}
-$$
-</td>
-  </tr>
-  <!-- Parentheses -->
-   <tr>
-    <td>
-      Matrix (Parentheses)
-  </td>
-<td>
-
-```latex
-$$\n \\begin{pmatrix} a & b \\\\ c & d \\end{pmatrix}\n$$
-```
-
-  </td>
-
-  <td>
-
-$$
-\begin{pmatrix}
-   a & b \\
-   c & d
-\end{pmatrix}
-$$
-
-</td>
-</tr>
-  <!-- Vertical -->
-   <tr>
-    <td>
-      Matrix (Vertical)
-  </td>
-<td>
-
-```latex
-$$\n \\begin{vmatrix} a & b \\\\ c & d \\end{vmatrix}\n$$
-```
-
-  </td>
-
-  <td>
-
-$$
-\begin{vmatrix}
-   a & b \\
-   c & d
-\end{vmatrix}
-$$
-
-</td>
-</tr>
-  <!-- Double Vertical -->
-   <tr>
-    <td>
-      Matrix (double Vertical)
-  </td>
-<td>
-
-```latex
-$$\n \\begin{Vmatrix} a & b \\\\ c & d \\end{Vmatrix}\n$$
-```
-
-  </td>
-
-  <td>
-
-$$
-\begin{Vmatrix}
-   a & b \\
-   c & d
-\end{Vmatrix}
-$$
-
-</td>
-</tr>
-  <!-- Curly Brackets -->
-   <tr>
-    <td>
-      Matrix (curly brackets)
-  </td>
-<td>
-
-```latex
-$$\n \\begin{Bmatrix} a & b \\\\ c & d \\end{Bmatrix}\n$$
-```
-
-  </td>
-
-  <td>
-
-$$
-\begin{Bmatrix}
-   a & b \\
-   c & d
-\end{Bmatrix}
-$$
-
-</td>
-</tr>
-  <!-- Advanced Equation -->
-   <tr>
-    <td>
-      Advanced Matrix Equation
-  </td>
-<td>
-
-```latex
-$$\n 
-\\begin{equation*} A_{m,n} = 
-\\begin{pmatrix}
-a_{1,1} & a_{1,2} & \\cdots & a_{1,n} \\\\ 
-a_{2,1} & a_{2,2} & \\cdots & a_{2,n} \\\\ 
-\\vdots  & \\vdots  & \\ddots & \\vdots \\\\ 
-a_{m,1} & a_{m,2} & \\cdots & a_{m,n} 
-\\end{pmatrix} 
-\\end{equation*}\n
-$$
-```
-
-  </td>
-
-  <td>
-
-$$
-\begin{equation*}
-A_{m,n} =
-\begin{pmatrix}
-a_{1,1} & a_{1,2} & \cdots & a_{1,n} \\
-a_{2,1} & a_{2,2} & \cdots & a_{2,n} \\
-\vdots  & \vdots  & \ddots & \vdots  \\
-a_{m,1} & a_{m,2} & \cdots & a_{m,n}
-\end{pmatrix}
-\end{equation*}
-$$
-
-</td>
-</tr>
-</table>
-
-**[More Matrix Examples](<https://www.math-linux.com/latex-26/faq/latex-faq/article/how-to-write-matrices-in-latex-matrix-pmatrix-bmatrix-vmatrix-vmatrix>)**
-
-## 12. Misc
-
-| Input                        | Result                     |
-| :--------------------------- |:---------------------------|
-| ```$\\backslash$```          |     $\backslash$           |
-| ```$\\nonumber$```           |     $\nonumber$            |
-| ```$\\color{grey}x$```       |     $\color{grey}x$        |
-
-## 13. Sources and more Types
-
-- <https://oeis.org/wiki/List_of_LaTeX_mathematical_symbols>
-- <https://csrgxtu.github.io/2015/03/20/Writing-Mathematic-Fomulars-in-Markdown/>
-- <https://katex.org/docs/supported.html>
-- <https://wch.github.io/latexsheet/>
diff --git a/.github/Docs/LaTeX.md b/.github/Docs/LaTeX.md
new file mode 100644
index 0000000..80b53da
--- /dev/null
+++ b/.github/Docs/LaTeX.md
@@ -0,0 +1,529 @@
+# LaTeX
+
+Repeatio uses LaTeX (KaTeX) to render mathematical functions.
+
+<!-- Wikipedia like table -->
+<!-- Weird combination of spans because github adds weird padding to list elements -->
+<table>
+  <tr>
+   <th>Table of Content</th>
+  </tr>
+   <tr>
+    <td>
+      <b>
+      <span>1. <a href="#1-general">General</a></span> </br >
+      <span>1.1 <a href="#11-inline-functions">Inline Functions</a></span> </br >
+      <span>1.2 <a href="#12-multiline-functions">Multiline Functions</a></span> </br >
+      <span>2. <a href="#2-fractions-and-binomials">Fractions and Binomials</a></span> </br >
+      <span>3. <a href="#3-power-and-indices">Power and Indices</a></span> </br >
+      <span>4. <a href="#4-roots">Roots</a></span> </br >
+      <span>5. <a href="#5-operators">Operators</a></span> </br >
+      <span>6. <a href="#6-sums-and-integrals">Sums and Integrals</a></span> </br >
+      <span>7. <a href="#7-brackets">Brackets</a></span> </br >
+      <span>8. <a href="#8-accents">Accents</a></span> </br >
+      <span>9. <a href="#9-arrows">Arrows</a></span> </br >
+      <span>10. <a href="#10-greek-letters">Greek letters</a></span> </br >
+      <span>11. <a href="#11-environments">Environments</a></span> </br >
+      <span>12. <a href="#12-misc">Misc</a></span> </br >
+      <span>13. <a href="#13-sources-and-more-types">Sources and more Types</a></span> </br >
+      </b>
+    </td>
+   </tr>
+</table>
+
+## 1. General
+
+Although not required it is generally advised to add a empty line after each LaTeX function.
+
+### 1.1 Inline Functions
+
+LaTeX inline functions are written between single dollar signs `$...$`.  
+**_Example:_**
+
+<!--Using html here because markdown tables don't support multiline table definitions but only markdown allows code highlight and code copy-->
+<table>
+  <tr>
+    <th>Input</th>
+    <th>Result</th>
+  </tr>
+  <tr>
+    <td>
+
+```latex
+Calculate $x$:
+
+$x =\frac{\sqrt{20}}{3\times(5-10)^2}$
+
+Round to 2 decimal places.
+```  
+
+  </td>
+    <td>
+
+Calculate $x$:
+
+$x =\frac{\sqrt{20}}{3\times(5-10)^2}$
+
+Round to 2 decimal places.
+
+   </td>
+  </tr>
+</table>
+
+### 1.2 Multiline Functions
+
+LaTeX multiline functions are written between double dollar signs `$$...$$`.  
+For a new line in the function use two backslashes `\\`.  
+To align a function use `\begin{align}` in combination with `&=` and `\end{align}`.
+
+<table>
+  <thead>
+    <tr>
+      <th>Type</th>
+      <th>Input</th>
+      <th>Result</th>
+    </tr>
+  </thead>
+  <tbody>
+  <tr>
+    <td>Unaligned</td>
+    <td>
+
+```latex
+Calculate $x^2+3x+2 = 0$
+
+$$
+x_{1,2} = -\left(\frac{3}{2}\right) \pm \sqrt{ \left(\frac{3}{2}\right)^{2}-2} \\
+x_{1,2} = -1,5 \pm \sqrt{2,25 - 2} \\
+\vdots  \\
+x_1 = -2 \\
+x_2 = -1
+$$
+
+```
+
+  </td>
+    <td>
+
+  <img src="./assets/images/latex-multi-line.png" alt="Latex multi-line function" />
+
+  </td>
+  </tr>
+    <tr>
+      <td>Aligned</td>
+      <td>
+
+```latex
+Calculate $x^2+3x+2 = 0$
+
+$$
+\begin{align}
+x_{1,2} &= -\left(\frac{3}{2}\right) \pm \sqrt{ \left(\frac{3}{2}\right)^{2}-2} \\
+x_{1,2} &= -1,5 \pm \sqrt{2,25 - 2} \\
+\vdots \nonumber \\
+x_1 &= -2 \\
+x_2 &= -1 \nonumber
+\end{align}
+$$
+```
+
+  </td>
+      <td>
+
+Calculate $x^2+3x+2 = 0$
+
+$$
+\begin{align}
+x_{1,2} &= -\left(\frac{3}{2}\right) \pm \sqrt{ \left(\frac{3}{2}\right)^{2}-2} \\
+x_{1,2} &= -1,5 \pm \sqrt{2,25 - 2} \\
+\vdots \nonumber \\
+x_1 &= -2 \\
+x_2 &= -1 \nonumber
+\end{align}
+$$
+
+> **Note**  
+> If the numbers next to the function overlap with the content of the function add `\nonumber` to the line.
+
+  </td>
+    </tr>
+  </tbody>
+</table>
+
+## 2. Fractions and Binomials
+
+| Type                  | Input                             | Result                           |
+|:--------------------- | :-------------------------------- |:---------------------------------|
+| Fraction              | ```$\frac{n}{k}$```               |     $\frac{n}{k}$                |
+| Fraction (advanced)   | ```$\frac{n!}{k!(n-k)!}$```       |     $\frac{n!}{k!(n-k)!}$        |
+| Binomial coefficient  | ```$\binom{n}{k}$```              |     $\binom{n}{k}$               |
+| Fraction in Fraction  | ```$\frac{\frac{x}{1}}{x - y}$``` |     $\frac{\frac{x}{1}}{x - y}$  |
+| Fraction              | ```$^x/_y$```                     |     $^x/_y$                      |
+
+## 3. Power and Indices
+
+| Type                      | Input                        | Result                 |
+| :------------------------ | :--------------------------- |:---------------------- |
+| Superscript               | ```$n^2$```                  |     $n^2$              |
+| Superscript (advanced)    | ```$n^{2+k}$```              |     $n^{2+k}$          |
+| Subscript                 | ```$k_n$```                  |     $k_n$              |
+| Subscript (advanced)      | ```$k_{n+1}$```              |     $k_{n+1}$          |
+| Sup-/Subscript            | ```$k_n^2$```                |     $k_n^2$            |
+
+## 4. Roots
+
+| Type                      | Input                        | Result                     |
+| :------------------------ | :--------------------------- |:---------------------------|
+| Square root               | ```$\sqrt{k}$```             |    $\sqrt{k}$              |
+| Square root with exponent | ```$\sqrt[n]{k}$```          |    $\sqrt[n]{k}$           |
+
+## 5. Operators
+
+| Type                  | Input                        | Result                     |
+| :-------------------- | :--------------------------- |:---------------------------|
+| Plus                  | ```$+$```                    |     $+$                    |
+| Minus                 | ```$-$```                    |     $-$                    |
+| Multiplied by         | ```$\times$```               |     $\times$               |
+| Divided by            | ```$\div$```                 |     $\div$                 |
+| Comma                 | ```$,$```                    |     $,$                    |
+| Colon                 | ```$:$```                    |     $:$                    |
+| Semicolon             | ```$;$```                    |     $;$                    |
+| Exclamation           | ```$!$```                    |     $!$                    |
+| Horizontal dots       | ```$\dots$```                |     $\dots$                |
+| Vertical dots         | ```$\vdots$```               |     $\vdots$               |
+| Diagonal dots         | ```$\ddots$```               |     $\ddots$               |
+| Sinus                 | ```$\sin$```                 |     $\sin$                 |
+| Cosine                | ```$\cos$```                 |     $\cos$                 |
+| Tangent               | ```$\tan$```                 |     $\tan$                 |
+| Limit                 | ```$\lim$```                 |     $\lim$                 |
+| Exponential function  | ```$\exp$```                 |     $\exp$                 |
+| Mod                   | ```$\bmod$```                |     $\bmod$                |
+| Infinity              | ```$\infty$```               |     $\infty$               |
+| Equivalent            | ```$\equiv$```               |     $\equiv$               |
+| Not equal             | ```$\ne$```                  |     $\ne$                  |
+| Approximately         | ```$\approx$```              |     $\approx$              |
+| Less than             | ```$\leq$```                 |     $<$                    |
+| Less or equal than    | ```$\leq$```                 |     $\leq$                 |
+| Greater than          | ```$\geq$```                 |     $>$                    |
+| Greater or equal than | ```$\geq$```                 |     $\geq$                 |
+| Not                   | ```$\neg$```                 |     $\neg$                 |
+
+## 6. Sums and Integrals
+
+| Type                 | Input                                             | Result                                         |
+| :------------------- | :------------------------------------------------ |:-----------------------------------------------|
+| Summation            | ```$\sum$```                                      |    $\sum$                                      |
+| Summation (advanced) | ```$\sum\limits_{i=0}^n f(x)$```                  |    $\sum\limits_{i=0}^n f(x)$                  |
+| Integral             | ```$int$```                                       |    $\int$                                      |
+| Integral (advanced)  | ```$\int_0^\infty \mathrm{e}^{-x},\mathrm{d}x$``` |    $\int_0^\infty \mathrm{e}^{-x},\mathrm{d}x$ |
+| Integral (limit)     | ```$\int\limits_a^b$```                           |    $\int\limits_a^b$                           |
+| Integral (double)    | ```$\iint$```                                     |    $\iint$                                     |
+| Integral (triple)    | ```$\iiint$```                                    |    $\iiint$                                    |
+| Product              | ```$\prod$```                                     |    $\prod$                                     |
+| Coproduct            | ```$\coprod$```                                   |    $\coprod$                                   |
+| Bigoplus             | ```$\bigoplus$```                                 |    $\bigoplus$                                 |
+| BigoTimes            | ```$\bigotimes$```                                |    $\bigotimes$                                |
+| Bigodot              | ```$\bigodot$```                                  |    $\bigodot$                                  |
+| Plus-Minus           | ```$\pm$```                                       |    $\pm$                                       |
+
+## 7. Brackets
+
+| Type                 | Input                            | Result                        |
+| :------------------- | :------------------------------- | :---------------------------- |
+| Parenthesis          | ```$(a)$```                      |  $(a)$                        |
+| parenthesis (bigger) | ```$left(\frac{a^2}{2}\right)``` |  $\left(\frac{a^2}{2}\right)$ |
+| Bracket              | ```$[a]$```                      |  $[a]$                        |
+| Brace                | ```$\{a\}$```                    |  {a}                          |
+| Angle bracket        | ```$\langle f \rangle$```        |  $\langle f \rangle$          |
+| Floor                | ```$\lfloor f \rfloor$```        |  $\lfloor f \rfloor$          |
+| Ceiling              | ```$\lceil f \rceil$```          |  $\lceil f \rceil$            |
+
+## 8. Accents
+
+| Input                       | Result                     |
+| :-------------------------- |:---------------------------|
+| ```$a^{\prime}$```          |    $a^{\prime}$            |
+| ```$a’$```                  |    $a’$                    |
+| ```$a’’$```                 |    $a’’$                   |
+| ```$a’’’$```                |    $a’’’$                  |
+| ```$\hat{a}$```             |    $\hat{a}$               |
+| ```$\bar{a}$```             |    $\bar{a}$               |
+| ```$\grave{a}$```           |    $\grave{a}$             |
+| ```$\acute{a}$```           |    $\acute{a}$             |
+| ```$\dot{a}$```             |    $\dot{a}$               |
+| ```$\ddot{a}$```            |    $\ddot{a}$              |
+| ```$\not{a}$```             |    $\not{a}$               |
+| ```$\mathring{a}$```        |    $\mathring{a}$          |
+| ```$\check{a}$```           |    $\check{a}$             |
+| ```$\vec{a}$```             |    $\vec{a}$               |
+| ```$\overrightarrow{AB}$``` |    $\overrightarrow{AB}$   |
+| ```$\overleftarrow{AB}$```  |    $\overleftarrow{AB}$    |
+| ```$\vec{F}$```             |    $\vec{F}$               |
+| ```$\overline{aaa}$```      |    $\overline{aaa}$        |
+| ```$\underline{a}$```       |    $\underline{a}$         |
+
+## 9. Arrows
+
+| Input                       | Result                     |
+| :-------------------------- |:---------------------------|
+| ```$\to$```                 |     $\to$                  |
+| ```$\uparrow$```            |     $\uparrow$             |
+| ```$\downarrow$```          |     $\downarrow$           |
+| ```$\updownarrow$```        |     $\updownarrow$         |
+| ```$\Uparrow$```            |     $\Uparrow$             |
+| ```$\Downarrow$```          |     $\Downarrow$           |
+
+## 10. Greek letters
+
+| Input                       | Result                     |
+| :-------------------------- |:---------------------------|
+| ```$\alpha$```              |     $\alpha$               |
+| ```$A$```                   |     $A$                    |
+| ```$\beta$```               |     $\beta$                |
+| ```$B$```                   |     $B$                    |
+| ```$\gamma$```              |     $\gamma$               |
+| ```$\Gamma$```              |     $\Gamma$               |
+| ```$\delta$```              |     $\delta$               |
+| ```$\Delta$```              |     $\Delta$               |
+| ```$\epsilon$```            |     $\epsilon$             |
+| ```$\Epsilon$```            |     $E$                    |
+| ```$\zeta$```               |     $\zeta$                |
+| ```$\Zeta$```               |     $Z$                    |
+| ```$\eta$```                |     $\eta$                 |
+| ```$\Eta$```                |     $H$                    |
+| ```$\theta$```              |     $\theta$               |
+| ```$\Theta$```              |     $\Theta$               |
+| ```$\kappa$```              |     $\kappa$               |
+| ```$\Kappa$```              |     $K$                    |
+| ```$\lambda$```             |     $\lambda$              |
+| ```$\Lambda$```             |     $\Lambda$              |
+| ```$\mu$```                 |     $\mu$                  |
+| ```$\Mu$```                 |     $M$                    |
+| ```$\nu$```                 |     $\nu$                  |
+| ```$\Nu$```                 |     $N$                    |
+| ```$\xi$```                 |     $\xi$                  |
+| ```$\Xi$```                 |     $\Xi$                  |
+| ```$\pi$```                 |     $\pi$                  |
+| ```$\Pi$```                 |     $\Pi$                  |
+| ```$\rho$```                |     $\rho$                 |
+| ```$\Rho$```                |     $P$                    |
+| ```$\sigma$```              |     $\sigma$               |
+| ```$\Sigma$```              |     $\Sigma$               |
+| ```$\tau$```                |     $\tau$                 |
+| ```$\au$```                 |     $T$                    |
+| ```$\phi$```                |     $\phi$                 |
+| ```$\Phi$```                |     $\Phi$                 |
+| ```$\chi$```                |     $\chi$                 |
+| ```$\Chi$```                |     $X$                    |
+| ```$\psi$```                |     $\psi$                 |
+| ```$\Psi$```                |     $\Psi$                 |
+| ```$\omega$```              |     $\omega$               |
+| ```$\Omega$```              |     $\Omega$               |
+| ```$\varphi$```             |    $\varphi$               |
+
+## 11. Environments
+
+<table>
+  <tr>
+   <th>Type</th>
+   <th>Input</th>
+   <th>Result</th>
+  </tr>
+  <tr>
+    <td>
+      Matrix
+  </td>
+<td>
+
+```latex
+$$
+\begin{matrix}
+a & b \\
+c & d
+\end{matrix}
+$$
+```
+
+  </td>
+  <td>
+
+$$
+\begin{matrix}
+   a & b \\
+   c & d
+\end{matrix}
+$$
+</td>
+  </tr>
+  <!-- Parentheses -->
+   <tr>
+    <td>
+      Matrix (Parentheses)
+  </td>
+<td>
+
+```latex
+$$
+\begin{pmatrix}
+a & b \\
+c & d
+\end{pmatrix}
+$$
+```
+
+  </td>
+
+  <td>
+
+$$
+\begin{pmatrix}
+   a & b \\
+   c & d
+\end{pmatrix}
+$$
+
+</td>
+</tr>
+  <!-- Vertical -->
+   <tr>
+    <td>
+      Matrix (Vertical)
+  </td>
+<td>
+
+```latex
+$$
+\begin{vmatrix}
+a & b \\
+c & d
+\end{vmatrix}
+$$
+```
+
+  </td>
+  <td>
+
+$$
+\begin{vmatrix}
+   a & b \\
+   c & d
+\end{vmatrix}
+$$
+
+</td>
+</tr>
+  <!-- Double Vertical -->
+   <tr>
+    <td>
+      Matrix (double Vertical)
+  </td>
+<td>
+
+```latex
+$$
+\begin{Vmatrix}
+a & b \\
+c & d
+\end{Vmatrix}
+$$
+```
+
+  </td>
+
+  <td>
+
+$$
+\begin{Vmatrix}
+   a & b \\
+   c & d
+\end{Vmatrix}
+$$
+
+</td>
+</tr>
+  <!-- Curly Brackets -->
+   <tr>
+    <td>
+      Matrix (curly brackets)
+  </td>
+<td>
+
+```latex
+$$
+\begin{Bmatrix}
+a & b \\
+c & d
+\end{Bmatrix}
+$$
+```
+
+  </td>
+
+  <td>
+
+$$
+\begin{Bmatrix}
+   a & b \\
+   c & d
+\end{Bmatrix}
+$$
+
+</td>
+</tr>
+  <!-- Advanced Equation -->
+   <tr>
+    <td>
+      Advanced Matrix Equation
+  </td>
+<td>
+
+```latex
+$$
+\begin{equation*}
+A_{m,n} =
+\begin{pmatrix}
+a_{1,1} & a_{1,2} & \cdots & a_{1,n} \\
+a_{2,1} & a_{2,2} & \cdots & a_{2,n} \\
+\vdots  & \vdots  & \ddots & \vdots  \\
+a_{m,1} & a_{m,2} & \cdots & a_{m,n}
+\end{pmatrix}
+\end{equation*}
+$$
+```
+
+  </td>
+
+  <td>
+
+$$
+\begin{equation*}
+A_{m,n} =
+\begin{pmatrix}
+a_{1,1} & a_{1,2} & \cdots & a_{1,n} \\
+a_{2,1} & a_{2,2} & \cdots & a_{2,n} \\
+\vdots  & \vdots  & \ddots & \vdots  \\
+a_{m,1} & a_{m,2} & \cdots & a_{m,n}
+\end{pmatrix}
+\end{equation*}
+$$
+
+</td>
+</tr>
+</table>
+
+**[More Matrix Examples](<https://www.math-linux.com/latex-26/faq/latex-faq/article/how-to-write-matrices-in-latex-matrix-pmatrix-bmatrix-vmatrix-vmatrix>)**
+
+## 12. Misc
+
+| Input                       | Result                     |
+| :-------------------------- |:---------------------------|
+| ```$\backslash$```          |     $\backslash$           |
+| ```$\nonumber$```           |     $\nonumber$            |
+| ```$\color{grey}x$```       |     $\color{grey}x$        |
+
+## 13. Sources and more Types
+
+- <https://oeis.org/wiki/List_of_LaTeX_mathematical_symbols>
+- <https://csrgxtu.github.io/2015/03/20/Writing-Mathematic-Fomulars-in-Markdown/>
+- <https://katex.org/docs/supported.html>
+- <https://wch.github.io/latexsheet/>
diff --git a/.github/Docs/assets/images/latex-multi-line.png b/.github/Docs/assets/images/latex-multi-line.png
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diff --git a/.markdownlint.json b/.markdownlint.json
new file mode 100644
index 0000000..d9445e7
--- /dev/null
+++ b/.markdownlint.json
@@ -0,0 +1,6 @@
+{
+  "default": true,
+  "MD013": false,
+  "MD028": false,
+  "MD033": false
+}
\ No newline at end of file
diff --git a/.vscode/cspell.json b/.vscode/cspell.json
new file mode 100644
index 0000000..676e71b
--- /dev/null
+++ b/.vscode/cspell.json
@@ -0,0 +1,49 @@
+// cSpell Settings
+//https://cspell.org/configuration/
+{
+  // Version of the setting file.  Always 0.2
+  "version": "0.2",
+  // language - current active spelling language
+  "language": "en, de-de",
+  // words - list of words to be always considered correct
+  "words": [
+    "asar",
+    "Autosize",
+    "binom",
+    "Bmatrix",
+    "Cloze",
+    "Dropzone",
+    "Exif",
+    "grap",
+    "greek",
+    "infty",
+    "katex",
+    "mathring",
+    "mathrm",
+    "Niklas",
+    "nonumber",
+    "nsis",
+    "overleftarrow",
+    "overrightarrow",
+    "overscroll",
+    "pmatrix",
+    "progressbar",
+    "reactroot",
+    "rehype",
+    "repeatio",
+    "streetsidesoftware",
+    "strikethrough",
+    "Styleable",
+    "testid",
+    "toastify",
+    "tsmerge",
+    "USEEFFECTS",
+    "vmatrix"
+  ],
+  // flagWords - list of words to be always considered incorrect
+  // This is useful for offensive words and common spelling errors.
+  // For example "hte" should be "the"
+  "flagWords": [
+    "hte"
+  ]
+}
diff --git a/README.md b/README.md
index 2fbc3a5..28770d5 100644
--- a/README.md
+++ b/README.md
@@ -27,7 +27,7 @@ Start **[learning](https://repeatio.netlify.app)**.
 ### Mobile
 
 > **Warning**  
-> Devices running iOS are currently **_not_** supported!
+> Devices running iOS are currently **_not_** supported! This includes **_all_** browsers (Safari, Chrome on iOS, ...)!
 
 |             | Chrome            | Edge            | Safari          | Firefox           | Opera           | Samsung Internet |
 |:-----------:|:-----------------:|:---------------:|:---------------:|:-----------------:|:---------------:|:----------------:|
@@ -40,7 +40,7 @@ Start **[learning](https://repeatio.netlify.app)**.
 ### Legend
 
 | Emoji            | Value       |
-|------------------|-------------|
+|:----------------:|-------------|
 |:1st_place_medal: | Excellent   |
 |:2nd_place_medal: | Very good   |
 |:3rd_place_medal: | Ok          |
@@ -108,6 +108,9 @@ The questions are in the order that they were saved in. **[Read](#bookmarked-que
 
 <img src="./.github/Docs/assets/images/train-bookmarked-questions.png" alt="Train Bookmarked Questions" height="180px"/>
 
+> **Warning**  
+> Don't delete or edit questions when using this mode!
+
 ## Adding and editing Questions
 
 ### Add a new Question
@@ -433,9 +436,9 @@ This is for example the case if you want to use css, escape the default styling
     </tr>
     <tr>
       <td>Multiple line break</td>
-      <td>This text is broken into <code>&ensp;</code><sup><a href="#footnote-line-break-1">[1]</a></sup><br /> multiple lines </td>
-      <td>This text is broken into <code>&lt;br /&gt;</code><code>&lt;br /&gt;</code>multiple lines</td>
-      <td>This text is broken into <br /> <br /> multiple lines</td>
+      <td>Text broken<code>&ensp;</code><sup><a href="#footnote-line-break-1">[1]</a></sup><br />into multiple lines </td>
+      <td>Text broken <code>&lt;br /&gt;&lt;br /&gt;</code>into multiple lines</td>
+      <td>Text broken <br /> <br /> into multiple lines</td>
     </tr>
   </table>
 
@@ -794,7 +797,7 @@ $x =\frac{\sqrt{20}}{3\times(5-10)^2}$
   </tr>
 </table>
 
-**[Here](/.github/Docs/KaTeX.md)** is a detailed guide.
+**[Here](/.github/Docs/LaTeX.md)** is a detailed guide.
 
 </details>
 
@@ -864,7 +867,7 @@ Some general tips:
 
 ## Scripts
 
-These scripts are for developers only
+These scripts are only for developers.
 
 <details>
   <summary><b>Clone Repository</b></summary>