118 lines
4.0 KiB
Markdown
118 lines
4.0 KiB
Markdown
---
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name: Library/mrmugame/Silverbullet-Math
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tags: meta/library
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files:
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- Silverbullet-Math/katex.mjs
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- Silverbullet-Math/katex.min.css
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- Silverbullet-Math/fonts/KaTeX_Typewriter-Regular.woff2
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- Silverbullet-Math/fonts/KaTeX_Size4-Regular.woff2
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- Silverbullet-Math/fonts/KaTeX_Size3-Regular.woff2
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- Silverbullet-Math/fonts/KaTeX_Size2-Regular.woff2
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- Silverbullet-Math/fonts/KaTeX_Size1-Regular.woff2
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- Silverbullet-Math/fonts/KaTeX_Script-Regular.woff2
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- Silverbullet-Math/fonts/KaTeX_SansSerif-Regular.woff2
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- Silverbullet-Math/fonts/KaTeX_SansSerif-Italic.woff2
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- Silverbullet-Math/fonts/KaTeX_SansSerif-Bold.woff2
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- Silverbullet-Math/fonts/KaTeX_Math-Italic.woff2
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- Silverbullet-Math/fonts/KaTeX_Math-BoldItalic.woff2
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- Silverbullet-Math/fonts/KaTeX_Main-Regular.woff2
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- Silverbullet-Math/fonts/KaTeX_Main-Italic.woff2
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- Silverbullet-Math/fonts/KaTeX_Main-Bold.woff2
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- Silverbullet-Math/fonts/KaTeX_Main-BoldItalic.woff2
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- Silverbullet-Math/fonts/KaTeX_Fraktur-Regular.woff2
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- Silverbullet-Math/fonts/KaTeX_Fraktur-Bold.woff2
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- Silverbullet-Math/fonts/KaTeX_Caligraphic-Regular.woff2
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- Silverbullet-Math/fonts/KaTeX_Caligraphic-Bold.woff2
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- Silverbullet-Math/fonts/KaTeX_AMS-Regular.woff2
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share.uri: "https://github.com/MrMugame/silverbullet-math/blob/main/Math.md"
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share.hash: "13247895"
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share.mode: pull
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---
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# Silverbullet Math
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This library implements two new widgets
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- `latex.block(...)` and
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- `latex.inline(...)`,
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which can be used to render block and inline level math respectively. Both use ${latex.inline[[\href{https://katex.org/}{\KaTeX}]]} under the hood
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## Examples
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Let ${latex.inline[[S]]} be a set and ${latex.inline[[\circ : S \times S \to S,\; (a, b) \mapsto a \cdot b]]} be a binary operation, then the pair ${latex.inline[[(S, \circ)]]} is called a *group* iff
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1. ${latex.inline[[\forall a, b \in S, \; a \circ b \in S]]} (completeness),
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2. ${latex.inline[[\forall a,b,c \in S, \; (ab)c = a(bc)]]} (associativity),
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3. ${latex.inline[[\exists e \in S]]} such that ${latex.inline[[\forall a \in S,\; ae=a=ea]]} (identity) and
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4. ${latex.inline[[\forall a \in S,\; \exists b \in S]]} such that ${latex.inline[[ab=e=ba]]} (inverse).
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The Fourier transform of a complex-valued (Lebesgue) integrable function ${latex.inline[[f(x)]]} on the real line, is the complex valued function ${latex.inline[[\hat {f}(\xi )]]}, defined by the integral
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${latex.block[[\widehat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\ e^{-i 2\pi \xi x}\,dx, \quad \forall \xi \in \mathbb{R}.]]}
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## Quality of life
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There are two slash commands to make writing math a little easier,
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- `/math` and
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- `/equation`.
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## Info
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The current ${latex.inline[[\KaTeX]]} version is ${latex.katex.version}.
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## Implementation
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```space-lua
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local location = "Library/mrmugame/Silverbullet-Math"
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-- TODO: Remove the check for system.getURLPrefix as soon as the API has settled
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latex = {
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header = string.format("<link rel=\"stylesheet\" href=\".fs/%s/katex.min.css\">", location),
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katex = js.import(string.format("%s.fs/%s/katex.mjs", system.getURLPrefix and system.getURLPrefix() or "/", location))
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}
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function latex.inline(expression)
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local html = latex.katex.renderToString(expression, {
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trust = true,
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throwOnError = false,
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displayMode = false
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})
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return widget.new {
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display = "inline",
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html = "<span>" .. latex.header .. html .. "</span>"
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}
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end
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function latex.block(expression)
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local html = latex.katex.renderToString(expression, {
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trust = true,
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throwOnError = false,
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displayMode = true
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})
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return widget.new {
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display = "block",
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html = "<span>" .. latex.header .. html .. "</span>"
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}
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end
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slashcommand.define {
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name = "math",
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run = function()
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editor.insertAtCursor("${latex.inline[[]]}", false, true)
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editor.moveCursor(editor.getCursor() - 3)
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end
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}
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slashcommand.define {
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name = "equation",
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run = function()
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editor.insertAtCursor("${latex.block[[]]}", false, true)
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editor.moveCursor(editor.getCursor() - 3)
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end
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}
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```
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```space-style
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.sb-lua-directive-inline:has(.katex-html) {
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border: none !important;
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}
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```
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