// Check for edge cases that should remain as code, not math
// These patterns indicate code that contains dollar signs but is not math
constcodePatterns=[
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*=/,// Variable assignment like "const price ="
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*\(/,// Function call like "echo("
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*\{/,// Object literal like "const obj = {"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*\[/,// Array literal like "const arr = ["
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*</,// JSX or HTML like "const element = <"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*`/,// Template literal like "const str = `"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*'/,// String literal like "const str = '"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*"/,// String literal like "const str = \""
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*;/,// Statement ending like "const x = 1;"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*$/,// Just a variable name
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*[+\-*/%=<>!&|^~]/,// Operator like "const x = 1 +"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*[a-zA-Z_$][a-zA-Z0-9_$]*/,// Two identifiers like "const price = amount"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*[0-9]/,// Number like "const x = 1"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*[a-zA-Z_$][a-zA-Z0-9_$]*\s*[+\-*/%=<>!&|^~]/,// Complex expression like "const price = amount +"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*[a-zA-Z0-9_$]*\s*[a-zA-Z_$][a-zA-Z0-9_$]*/,// Three identifiers like "const price = amount + tax"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*[a-zA-Z_$][a-zA-Z0-9_$]*\s*[0-9]/,// Two identifiers and number like "const price = amount + 1"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*[0-9]\s*[+\-*/%=<>!&|^~]/,// Identifier, number, operator like "const x = 1 +"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*[0-9]\s*[a-zA-Z_$][a-zA-Z0-9_$]*/,// Identifier, number, identifier like "const x = 1 + y"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*[0-9]\s*[0-9]/,// Identifier, number, number like "const x = 1 + 2"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*[0-9]\s*[+\-*/%=<>!&|^~]\s*[a-zA-Z_$][a-zA-Z0-9_$]*/,// Complex like "const x = 1 + y"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*[0-9]\s*[+\-*/%=<>!&|^~]\s*[0-9]/,// Complex like "const x = 1 + 2"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*[0-9]\s*[+\-*/%=<>!&|^~]\s*[a-zA-Z_$][a-zA-Z0-9_$]*\s*[+\-*/%=<>!&|^~]/,// Very complex like "const x = 1 + y +"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*[0-9]\s*[+\-*/%=<>!&|^~]\s*[a-zA-Z_$][a-zA-Z0-9_$]*\s*[+\-*/%=<>!&|^~]\s*[a-zA-Z_$][a-zA-Z0-9_$]*/,// Very complex like "const x = 1 + y + z"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*[0-9]\s*[+\-*/%=<>!&|^~]\s*[a-zA-Z_$][a-zA-Z0-9_$]*\s*[+\-*/%=<>!&|^~]\s*[0-9]/,// Very complex like "const x = 1 + y + 2"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*[0-9]\s*[+\-*/%=<>!&|^~]\s*[0-9]\s*[+\-*/%=<>!&|^~]/,// Very complex like "const x = 1 + 2 +"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*[0-9]\s*[+\-*/%=<>!&|^~]\s*[0-9]\s*[+\-*/%=<>!&|^~]\s*[a-zA-Z_$][a-zA-Z0-9_$]*/,// Very complex like "const x = 1 + 2 + y"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*[0-9]\s*[+\-*/%=<>!&|^~]\s*[0-9]\s*[+\-*/%=<>!&|^~]\s*[0-9]/,// Very complex like "const x = 1 + 2 + 3"
// Additional patterns for JavaScript template literals and other code
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*=\s*`/,// Template literal assignment like "const str = `"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*=\s*'/,// String assignment like "const str = '"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*=\s*"/,// String assignment like "const str = \""
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*=\s*[0-9]/,// Number assignment like "const x = 1"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*=\s*[a-zA-Z_$][a-zA-Z0-9_$]*/,// Variable assignment like "const x = y"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*=\s*[+\-*/%=<>!&|^~]/,// Assignment with operator like "const x = +"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*=\s*[a-zA-Z_$][a-zA-Z0-9_$]*\s*[+\-*/%=<>!&|^~]/,// Assignment with variable and operator like "const x = y +"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*=\s*[a-zA-Z_$][a-zA-Z0-9_$]*\s*[+\-*/%=<>!&|^~]\s*[a-zA-Z_$][a-zA-Z0-9_$]*/,// Assignment with two variables and operator like "const x = y + z"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*=\s*[0-9]\s*[+\-*/%=<>!&|^~]/,// Assignment with number and operator like "const x = 1 +"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*=\s*[0-9]\s*[+\-*/%=<>!&|^~]\s*[a-zA-Z_$][a-zA-Z0-9_$]*/,// Assignment with number, operator, variable like "const x = 1 + y"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*=\s*[a-zA-Z_$][a-zA-Z0-9_$]*\s*[+\-*/%=<>!&|^~]\s*[0-9]/,// Assignment with variable, operator, number like "const x = y + 1"
/^[a-zA-Z_$][a-zA-Z0-9_$]*\s*=\s*[0-9]\s*[+\-*/%=<>!&|^~]\s*[0-9]/,// Assignment with number, operator, number like "const x = 1 + 2"
];
// If it matches code patterns, treat as regular code
# This is a testfile for writing mathematic formulas in NostrMarkup
This document covers the rendering of formulas in TeX/LaTeX and AsciiMath notation, or some combination of those within the same page. It is meant to be rendered by clients utilizing MathJax.
If you want the entire document to be rendered as mathematics, place the entire thing in a backtick-codeblock, but know that this makes the document slower to load, it is harder to format the prose, and the result is less legible. It also doesn't increase portability, as it's easy to export markup as LaTeX files, or as PDFs, with the formulas rendered.
The general idea, is that anything placed within `single backticks` is inline code, and inline-code will all be scanned for typical mathematics statements and rendered with best-effort. (For more precise rendering, use Asciidoc.) We will not render text that is not marked as inline code, as mathematical formulas, as that is prose.
If you want the TeX to be blended into the surrounding text, wrap the text within single `$`. Otherwise, use double `$$` symbols, for display math, and it will appear on its own line.
## TeX Examples
Inline equation: `$\sqrt{x}$`
Same equation, in the display mode: `$$\sqrt{x}$$`
Something more complex, inline: `$\mathbb{N} = \{ a \in \mathbb{Z} : a > 0 \}$`
Another example of `$$\prod_{i=1}^{n} x_i - 1$$` inline formulas.
Function example:
`$$
f(x)=
\begin{cases}
1/d_{ij} & \quad \text{when $d_{ij} \leq 160$}\\
0 & \quad \text{otherwise}
\end{cases}
$$`
And a matrix:
`$$
M =
\begin{bmatrix}
\frac{5}{6} & \frac{1}{6} & 0 \\[0.3em]
\frac{5}{6} & 0 & \frac{1}{6} \\[0.3em]
0 & \frac{5}{6} & \frac{1}{6}
\end{bmatrix}
$$`
LaTeX ypesetting won't be rendered. Use NostrMarkup delimeter tables for this sort of thing.
`\\begin{tabular}{|c|c|c|l|r|}
\\hline
\\multicolumn{3}{|l|}{test} & A & B \\\\
\\hline
1 & 2 & 3 & 4 & 5 \\\\
\\hline
\\end{tabular}`
We also recognize common LaTeX statements:
`\[
\begin{array}{ccccc}
1 & 2 & 3 & 4 & 5 \\
\end{array}
\]`
`\[ x^n + y^n = z^n \]`
`\sqrt{x^2+1}`
Greek letters are a snap: `$\Psi$`, `$\psi$`, `$\Phi$`, `$\phi$`.
Equations within text are easy--- A well known Maxwell thermodynamic relation is `$\left.{\partial T \over \partial P}\right|_{s} = \left.{\partial v \over \partial s}\right|_{P}$`.
You can also set aside equations like so: `\begin{eqnarray} du &=& T\ ds -P\ dv, \qquad \mbox{first law.}\label{fl}\\ ds &\ge& {\delta q \over T}.\qquad \qquad \mbox{second law.} \label{sl} \end {eqnarray}`
## And some good ole Asciimath
Asciimath doesn't use `$` or `$$` delimiters, but we are using it to make mathy stuff easier to find. If you want it inline, include it inline. If you want it on a separate line, put a hard-return before and after.
Inline text example here `$E=mc^2$` and another `$1/(x+1)$`; very simple.
Displaying on a separate line:
`$$sum_(k=1)^n k = 1+2+ cdots +n=(n(n+1))/2$$`
`$$int_0^1 x^2 dx$$`
`$$x = (-6 +- sqrt((-6)^2 - 4 (1)(4)))/(2 xx 1)$$`
`$$|x|= {(x , if x ge 0 text(,)),(-x , if x <0.):}$$`
Displaying with wider spacing:
`$a=3, \ \ \ b=-3,\ \ $` and `$ \ \ c=2$`.
Thus `$(a+b)(c+b)=0$`.
Displaying with indentations:
Using the quadratic formula, the roots of `$x^2-6x+4=0$` are
`$$x = (-6 +- sqrt((-6)^2 - 4 (1)(4)))/(2 xx 1)$$`
`$$ \ \ = (-6 +- sqrt(36 - 16))/2$$`
`$$ \ \ =(-6 +- sqrt(20))/2$$`
`$$ \ \ = -0.8 or 2.2 \ \ \ $$` to 1 decimal place.
Advanced alignment and matrices looks like this:
A `$3xx3$` matrix, `$$((1,2,3),(4,5,6),(7,8,9))$$` and a `$2xx1$` matrix, or vector, `$$((1),(0))$$`.
The outer brackets determine the delimiters e.g. `$|(a,b),(c,d)|=ad-bc$`.
A general `$m xx n$` matrix `$$((a_(11), cdots , a_(1n)),(vdots, ddots, vdots),(a_(m1), cdots , a_(mn)))$$`
## Mixed Examples
Here are some examples mixing LaTeX and AsciiMath:
- LaTeX inline: `$\frac{1}{2}$` vs AsciiMath inline: `$1/2$`
- LaTeX display: `$$\sum_{i=1}^n x_i$$` vs AsciiMath display: `$$sum_(i=1)^n x_i$$`
- LaTeX matrix: `$$\begin{pmatrix} a & b \\ c & d \end{pmatrix}$$` vs AsciiMath matrix: `$$((a,b),(c,d))$$`
