io.github.apology-is-policy/hyades

Tools

• render

  Render Hyades source to Unicode/ASCII text art. Hyades uses LaTeX-like syntax but outputs multi-line plain text instead of PDF. It supports math (fractions, integrals, matrices, Greek letters), tables with box-drawing frames, lists, flex-like layout (hbox/vbox), user-defined macros, and computation. IMPORTANT: Always display the rendered output to the user directly in your response. The output is pre-formatted multi-line text art that depends on exact character alignment. You MUST use a fenced code block (triple backticks) or equivalent monospace/preformatted element to preserve spacing. Never display the output as regular prose text — column alignment, box-drawing characters, and fraction bars will break without a monospace font. Input is a complete Hyades document. Plain text outside math delimiters is rendered as prose paragraphs. Use `$...$` for inline math and `$$...$$` for display math (centered on its own line). --- ## Math Supports ~95% of LaTeX math syntax. ### Inline vs Display ``` Inline math: $a^2 + b^2 = c^2$ flows with text. Display math gets its own block: $$ a^2 + b^2 = c^2 $$ ``` Use `$...$` for inline, `$$...$$` for display. Display math is centered. ### Variables and Operators ``` $$ a + b - c $$ $$ a \times b \div c $$ $$ a \cdot b $$ $$ \pm x \quad \mp y $$ ``` ### Superscripts and Subscripts ``` $$ x^2 \quad x_i \quad x_i^2 \quad x^{n+1} \quad x_{i,j} \quad a^{b^c} $$ ``` Use braces for multi-character exponents/subscripts: `x^{n+1}`, `x_{i,j}`. **Bracing rules:** Use braces for multi-token expressions: `x^{n+1}`, `x_{i,j}`. Commands that take arguments (like `\mathbf{v}`) work without extra braces: `x_\mathbf{v}` is equivalent to `x_{\mathbf{v}}`, matching TeX behavior. ### Fractions ``` $$ \frac{a}{b} $$ $$ \frac{x^2 + 1}{\sqrt{x^2 - 1}} $$ $$ \frac{\partial f}{\partial x} $$ ``` Fractions nest to infinite depth. `\dfrac` and `\tfrac` are accepted as aliases for `\frac`. ### Roots ``` $$ \sqrt{x} $$ $$ \sqrt[3]{x} $$ $$ \sqrt[n]{x^2 + y^2} $$ ``` Optional argument gives the nth root: `\sqrt[3]{x}`. ### Parentheses and Grouping ``` $$ (a + b) \quad [a + b] \quad \{a + b\} \quad |x| \quad \Vert x \Vert $$ ``` Curly braces need escaping: `\{` and `\}`. ### Auto-Scaling Delimiters (\left/\right) `\left` and `\right` make delimiters grow to match their contents: ``` $$ \left( \frac{a}{b} \right) \quad \left[ \frac{a}{b} \right] \quad \left| \frac{a}{b} \right| $$ ``` Works with all delimiter types: `( ) [ ] \{ \} | \| \lfloor \rfloor \lceil \rceil \langle \rangle`. Use `\left.` or `\right.` for invisible (null) delimiters — essential for evaluation bars: ``` $$ \left.\frac{df}{dx}\right|_{x=0} $$ ``` Use `\middle` inside `\left...\right` for scaled interior delimiters: ``` $$ \left( \frac{a}{b} \middle| \frac{c}{d} \right) $$ ``` ### Explicit Delimiter Sizing (\big through \Bigg) `\big`, `\Big`, `\bigg`, `\Bigg` set delimiter sizes explicitly. `\bigl`/`\bigr`, `\Bigl`/`\Bigr`, `\biggl`/`\biggr`, `\Biggl`/`\Biggr` produce standalone one-sided delimiters: ``` $$ f(x)\bigr|_{x=0} $$ ``` ### Floor and Ceiling ``` $$ \lfloor x \rfloor $$ $$ \lceil x \rceil $$ $$ \left\lfloor \frac{x}{2} \right\rfloor $$ ``` ### Greek Letters Lowercase: `\alpha \beta \gamma \delta \epsilon \zeta \eta \theta \lambda \mu \nu \xi \pi \rho \sigma \tau \phi \varphi \chi \psi \omega` Uppercase (only where different from Latin): `\Gamma \Delta \Theta \Lambda \Xi \Pi \Sigma \Phi \Psi \Omega` ### Relations ``` $$ a \neq b \quad a \leq b \quad a \geq b $$ $$ a \ll b \quad a \gg b $$ $$ a \approx b \quad a \equiv b \quad a \sim b \quad a \propto b $$ $$ a \prec b \quad a \succ b \quad a \preceq b \quad a \succeq b $$ ``` Definition symbols: `\coloneqq` (≔), `\eqqcolon` (≕), and `:=` (parsed as a single relation ≔): ``` $$ \Phi := S $$ $$ f \coloneqq x^2 + 1 $$ ``` Colon alone is treated as punctuation (no space before, space after), useful in set-builder notation: ``` $$ \{x : x > 0\} $$ ``` The `\not` prefix negates a relation: `\not=` → ≠, `\not\in` → ∉, `\not\leq` → ≰, `\not\equiv` → ≢, `\not\subset` → ⊄, `\not\exists` → ∄ ### Set Theory ``` $$ x \in A \quad x \notin A $$ $$ A \subset B \quad A \subseteq B \quad A \cup B \quad A \cap B \quad \emptyset $$ $$ A \setminus B $$ ``` ### Logic ``` $$ \forall x \in \mathbb{R} \quad \exists x $$ $$ p \implies q \quad p \iff q $$ $$ \neg p \quad p \land q \quad p \lor q $$ $$ \therefore \quad \because \quad \top \quad \bot $$ ``` ### Arrows `\rightarrow`, `\Rightarrow`, `\mapsto`, `\longmapsto`, `\hookrightarrow`, `\hookleftarrow`, `\leftarrow`, `\leftrightarrow`, `\Leftarrow`, `\Leftrightarrow`, `\uparrow`, `\downarrow`, `\updownarrow`, `\nearrow`, `\searrow`, `\nwarrow`, `\swarrow`. Extensible arrows with text labels: ``` $$ A \xrightarrow{f} B \xleftarrow{g} C $$ ``` ### Standard Functions Standard functions are set in upright type: ``` $$ \sin x \quad \cos(x) \quad \tan x $$ $$ \log x \quad \log_2 x \quad \ln x \quad \exp(x) $$ $$ \sin^2 x + \cos^2 x = 1 $$ ``` Also: `\arcsin`, `\arccos`, `\arctan`, `\sinh`, `\cosh`, `\tanh`, `\det`, `\dim`, `\ker`, `\deg`, `\gcd`, `\sup`, `\inf`, `\max`, `\min`, `\argmax`, `\argmin`, `\limsup`, `\liminf`. ### Custom Function Names (\fn / \operatorname) `\fn{name}` or `\operatorname{name}` produces an upright function name for functions Hyades doesn't know: ``` $$ \fn{softmax}\left(x_i\right) = \frac{e^{x_i}}{\sum_j e^{x_j}} $$ $$ \operatorname{Tr}(A) $$ ``` ### Text in Math (\text) `\text{words}` inserts upright text inside math mode: ``` $$ x = 0 \text{ if } y > 0 $$ ``` ### Accents and Decorations Single-character: `\hat{x}`, `\bar{x}`, `\tilde{x}`, `\vec{x}`, `\dot{x}`, `\ddot{x}`, `\acute{x}`, `\grave{x}`, `\breve{x}`, `\check{x}` Wide accents: `\overline{AB}`, `\underline{text}`, `\overrightarrow{AB}`, `\overleftarrow{AB}`, `\widehat{xyz}`, `\widetilde{xyz}` ### Overset and Underset ``` $$ \overset{n}{=} $$ $$ \underset{x}{y} $$ $$ \stackrel{\text{def}}{=} $$ ``` `\overset{top}{base}` places annotation above base; `\underset{bot}{base}` below. `\stackrel` is an alias for `\overset`. ### Overbrace and Underbrace ``` $$ \overbrace{a + b + c}^{3 \text{ terms}} $$ $$ \underbrace{x + y + z}_{n \text{ terms}} $$ ``` ### Primes ``` $$ f'(x) \quad f''(x) \quad f'''(x) \quad f^{(n)}(x) $$ ``` ### Math Fonts `\mathbf{v}` → bold, `\mathbb{R}` → blackboard bold (ℕℤℚℝℂ), `\mathcal{L}` → calligraphic, `\mathfrak{R}` → Fraktur (𝔄𝔅ℭ), `\mathsf{A}` → sans-serif (𝖠𝖡𝖢), `\mathscr{A}` → script (same as \mathcal), `\boldsymbol{\alpha}` → bold (works with Greek: 𝛂𝛃, and symbols: `\boldsymbol{\nabla}` → 𝛁, `\boldsymbol{\partial}` → 𝛛) ### Dots and Ellipses `\ldots` (low dots, for commas), `\cdots` (centered, for operators), `\vdots` (vertical), `\ddots` (diagonal, for matrices) ### Summation ``` $$ \sum_{i=1}^{n} x_i $$ ``` `\Sum` and `\SUM` give progressively larger variants. ### Products ``` $$ \prod_{i=1}^{n} x_i $$ ``` `\Prod` and `\PROD` give larger variants. ### Integrals ``` $$ \int_a^b f(x) \, dx $$ $$ \iint f(x,y) \, dx\,dy $$ $$ \oint_C f(z) \, dz $$ ``` Also: `\iiint`, `\oiint`. Larger variants: `\Int`, `\INT`, etc. ### Limits `\lim` places its subscript directly below: ``` $$ \lim_{x \to 0} \frac{\sin x}{x} = 1 $$ $$ \max_{x \in [0,1]} f(x) $$ $$ \argmax_{\theta} L(\theta) $$ ``` ### Calculus Operators ``` $$ \frac{dy}{dx} \quad \frac{d^2y}{dx^2} \quad \frac{\partial f}{\partial x} $$ $$ \nabla f \quad \nabla \cdot \mathbf{F} \quad \nabla \times \mathbf{F} \quad \nabla^2 f $$ ``` ### Matrices Six types with different delimiters. `&` separates columns, `\\` or `;` separates rows. LaTeX-style `\begin{pmatrix}...\end{pmatrix}` also works for all matrix types. ``` $$ \pmatrix{a & b \\ c & d} $$ % (parentheses) $$ \bmatrix{a & b \\ c & d} $$ % [brackets] $$ \Bmatrix{a & b \\ c & d} $$ % {braces} $$ \vmatrix{a & b \\ c & d} $$ % |bars| (determinants) $$ \Vmatrix{a & b \\ c & d} $$ % ‖double bars‖ (norms) $$ \matrix{a & b \\ c & d} $$ % no delimiters ``` ### Cases (Piecewise Functions) ``` $$f(x) = \cases{ x & \text{if } x > 0 \\ 0 & \text{if } x = 0 \\ -x & \text{if } x < 0 }$$ ``` ### Aligned Equations `&` marks the alignment point: ``` $$\aligned{ f(x) &= x^2 + 2x + 1 \\ &= (x + 1)^2 }$$ ``` Use `\intertext{...}` inside aligned to insert prose between rows. Intertext is left-aligned at the document margin while equations remain centered: ``` $$\aligned{ x &= a \\ \intertext{where} a &= b + c }$$ ``` `\tag` works on aligned blocks — the tag is right-justified and vertically centered: ``` $$\aligned{ f(x) &= x^2 + 2x + 1 \\ &= (x + 1)^2 } \tag{7}$$ ``` ### Boxed ``` $$ \boxed{E = mc^2} $$ ``` Draws a box-drawing frame around the content. ### Phantom ``` $$ a + \phantom{bbb} + c $$ ``` Invisible placeholder — renders as whitespace with the same dimensions as the content. ### Smash ``` $$ \sqrt{\smash{y^3}} $$ ``` `\smash{content}` renders content but collapses its height to a single line (the baseline row). Used to prevent tall content from affecting surrounding constructs like roots or delimiters. ### Substack ``` $$ \sum_{\substack{i=1 \\ j>0}} x_{ij} $$ ``` Stacks multiple lines vertically (for multi-line subscripts/superscripts). ### Tag ``` $$ E = mc^2 \tag{1} $$ ``` Equation tag rendered as `(text)`. ### Number Theory ``` $$ a \equiv b \pmod{n} $$ $$ a \bmod n \quad a \mid b $$ $$ \binom{n}{k} $$ ``` ### Style Commands (No-ops) `\displaystyle`, `\textstyle`, `\scriptstyle`, `\scriptscriptstyle` are accepted but transparent (Hyades has no math size concept). `\notag` and `\nonumber` are also silently ignored. This allows pasting LaTeX source that uses these commands without errors. ### Math Spacing `\!` (negative thin), `\,` (thin), `\:` (medium), `\;` (thick), `\quad` (1em), `\qquad` (2em) ### Atom-Type Overrides (\mathord, \mathbin, \mathrel) Override the default spacing category of a symbol. Analogous to TeX's `{=}` idiom for suppressing operator spacing, but explicit and readable: ``` $a \mathord{=} b$ %% "a=b" — = treated as ordinary symbol (no spacing) $a = b$ %% "a = b" — default relation spacing $f \mathrel{:} A \to B$ %% "f : A → B" — : treated as relation (symmetric spacing) $a : b$ %% "a: b" — default punctuation spacing $a \mathbin{\triangle} b$ %% "a △ b" — triangle with binary operator spacing ``` - `\mathord{X}`: Suppress spacing — X renders as an ordinary symbol with no surrounding gaps. Use this instead of TeX's `{=}` or `{}=` idiom which does not work in Hyades. - `\mathbin{X}`: Force binary operator spacing (gap on both sides). - `\mathrel{X}`: Force relation spacing (gap on both sides). ### Binary Operators `\oplus`, `\otimes`, `\odot`, `\circ`, `\bullet`, `\star`, `\dagger`, `\ddagger` ### Geometry `\angle`, `\triangle`, `\perp`, `\parallel` ### Famous Equations (all valid input) ``` $$ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $$ %% Quadratic formula $$ e^{i\pi} + 1 = 0 $$ %% Euler's identity $$ f(x) = \frac{1}{\sigma\sqrt{2\pi}} e^{-\frac{(x-\mu)^2}{2\sigma^2}} $$ %% Normal distribution $$ \fn{Attention}(Q, K, V) = \fn{softmax}\left(\frac{QK^\top}{\sqrt{d_k}}\right) V $$ %% Attention mechanism $$ e^x = \sum_{n=0}^{\infty} \frac{x^n}{n!} $$ %% Taylor series $$ \int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi} $$ %% Gaussian integral $$ P(A|B) = \frac{P(B|A) P(A)}{P(B)} $$ %% Bayes' theorem $$ \nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}}{\partial t} $$ %% Maxwell's equation $$ i\hbar \frac{\partial}{\partial t} \Psi = \hat{H} \Psi $$ %% Schrodinger equation $$ \fn{softmax}(x_i) = \frac{e^{x_i}}{\sum_j e^{x_j}} $$ %% Softmax ``` --- ## Text Formatting ``` \textbf{bold text} \textit{italic text} \texttt{monospace text} \textbf{\textit{bold italic}} ``` Nesting `\textbf` and `\textit` produces bold-italic text. Inline math `$...$` inside `\textit` or `\textbf` is rendered as math (not styled as text): ``` \textit{Let $f(x) = x^2$ be a function} ``` ### Verbatim (No Processing) ``` \verb|raw \commands { } are preserved| ``` ### Special Characters `\textbackslash` → \, `\textdollar` → $, `\textpercent` → %, `\textampersand` → &, `\texthash` → # ### Text Spacing Commands `\ ` (backslash-space) — explicit inter-word space. Useful after abbreviations: `i.e.\ $f$` renders without extra sentence spacing. `\@` — marks the next period as sentence-ending (silently consumed). `\,` — thin space (works in both text and math mode). --- ## Paragraphs and Line Breaking Text flows into paragraphs automatically. A single newline is a space; a blank line starts a new paragraph. ### Line-Breaking Modes ``` \linebreaker{greedy} % Default. Fast, good results. \linebreaker{knuth} % TeX-style optimal. Minimizes ugliness. \linebreaker{raggedright} % Left-aligned, no justification. ``` ### Hyphenation `\sethyphenate{true}` / `\sethyphenate{false}` --- ## Tables Tables use `\table` with nested `\row` and `\col`: ``` \table[width:40, frame:single, pad:{l:1,r:1}]{ \row[frame:{b:double}]{ \col{Name} \col{Value} } \row{ \col{Alpha} \col{0.05} } \row{ \col{Beta} \col{0.95} } } ``` ### Table Properties | Property | Values | Default | |----------|--------|---------| | `width` / `w` | number, `auto` | parent width | | `frame` / `f` | `none`, `dotted`, `single`, `rounded`, `double`, `bold` | `single` | | `border` | same as frame (outer edges only) | unset | | `pad` / `p` | number or `{t:N, b:N, l:N, r:N}` | 0 | | `align` / `a` | `l`/`left`, `c`/`center`, `r`/`right` | `l` | | `valign` / `va` | `t`/`top`, `m`/`middle`, `b`/`bottom` | `t` | Row properties: `frame`, `pad`, `align`, `valign`, `height`. Column properties: `width`, `align`, `valign`, `frame`, `pad`, `span`, `reset`. Frame styles: `none` (space), `dotted` (┄┆), `single` (─│), `rounded` (╭╮╰╯ corners), `double` (═║), `bold` (━┃) Compound edges: `frame:{t:double, b:single, l:none, r:none}`, `pad:{l:1, r:1}` Properties cascade: table → column (down rows) → row → cell. IMPORTANT: When a row overrides a property (e.g. `frame:{b:double}`), that override is inherited by ALL subsequent rows. To stop it, the next row must explicitly reset it (e.g. `frame:{b:single}`). The `border` property on the table level controls the outer edges and cannot be overridden by row or column `frame`. --- ## Lists ``` \fancylist{ - First item - Second item with longer text that wraps to the next line - Third item - Nested child - Grandchild } ``` Three nesting levels supported. Uses ●/○ bullets in Unicode, - in ASCII. --- ## Layout Primitives Flex-like box model for spatial control. ### Box Types ``` \begin[width]{hbox} % horizontal (side by side) \child[width][align]{content} \end{hbox} \begin[top|middle|bottom]{hbox} % hbox with vertical alignment \child[width][align]{content} \end{hbox} \begin[width]{vbox} % vertical (stacked) \child[width][align]{content} \end{vbox} ``` Child width: fixed number, `auto` (fill remaining), `intrinsic` (natural width), or omitted (equal share). When multiple children omit width, they split the remaining space equally (after fixed-width children). Horizontal alignment: `left`, `center`, `right`. Vertical alignment for hbox: set on `\begin` bracket — `top` (default), `middle`, `bottom`. Width inheritance: boxes without an explicit width inherit their parent's width. `\setwidth{N}` sets the document-level width. ### Rules ``` \hrule[width]{left_cap}{fill_char}{right_cap} \vrule[height]{top}{fill}{bottom} \intersect_rules{...} % fix junction characters at rule crossings ``` Width/height can be a number or `auto`. An `auto`-width `\hrule` in a vbox stretches to the box width. An `auto`-height `\vrule` in an hbox stretches to match the tallest sibling. `\intersect_rules` scans all cells, checks neighboring line arms, and replaces with correct junction glyphs (┌ ┬ ┐ ├ ┼ ┤ └ ┴ ┘). Handles single, double, bold, and mixed styles. ### Measuring Content ``` \measure<content_name,width_var,height_var>{content to measure} ``` Renders content invisibly, stores it under `content_name` (retrieve with `\recall<content_name>`), and stores the measured width and height into integer variables. ### Spacing `\vskip{N}` (N blank lines), `\hskip{N}` (N spaces) ### Common Layout Patterns Two-column with gutter: ``` \begin{hbox} \child{Left column} \child[2]{} \child{Right column} \end{hbox} ``` Centering via auto spacers: ``` \begin{hbox} \child[auto]{} \child[intrinsic]{Centered content} \child[auto]{} \end{hbox} ``` Indentation: ``` \begin{hbox} \child[4]{} \child[auto]{Indented content} \end{hbox} ``` --- ## User-Defined Macros ``` \macro<\greet{name}>{Hello, ${name}!} \greet{World} % → Hello, World! \macro<\fullname{first}{last}>{${first} ${last}} \fullname{John}{Doe} % → John Doe % Optional parameters with defaults \macro<\heading[char=-]{title}>{ ${title} \hrule[20]{}{${char}}{} } \heading{Default} % uses - \heading[char:=]{Custom} % uses = ``` --- ## Document Settings ``` \setwidth{80} % Output width in columns (default: 80) \setunicode{true} % Use Unicode symbols (default: true) \setmathitalic{true} % Italicize math variables (default: true) \linebreaker{greedy} % Line-breaking algorithm \sethyphenate{true} % Enable hyphenation \setparskip{1} % Blank lines between paragraphs \setmathabove{1} % Blank lines above display math (default: 0) \setmathbelow{1} % Blank lines below display math (default: 0) ``` --- ## Computation Variables, loops, and conditionals are available. ### Variables and Arithmetic ``` \let<x>{10} \let<y>{20} \let<sum>{\add{\valueof<x>,\valueof<y>}} Result: \valueof<sum> % → Result: 30 ``` ### Conditionals ``` \let<n>{42} \if{\gt{\valueof<n>,0}}{positive}\else{non-positive} ``` ### Loops ``` \let<i>{1} \begin{loop} \exit_when{\gt{\valueof<i>,5}} \valueof<i>\hskip{1} \inc<i> \end{loop} % Output: 1 2 3 4 5 ``` ### Content Storage `\assign<name>{content}` stores text, `\recall<name>` retrieves it. `\let`/`\valueof` is for integers; `\assign`/`\recall` is for text. ### Lambdas ``` \lambda<double>[x]{\mul{\recall<x>,2}} \recall<double>[5] % → 10 ``` ### Arrays ``` \let<nums[]>{[10, 20, 30]} \valueof<nums>[0] % → 10 \len<nums> % → 3 \push<nums>{40} % append ``` --- ## Quick Reference ### Math Mode | Input | Output | |-------|--------| | `$x^2$` | x² | | `$x_i$` | xᵢ | | `$\frac{a}{b}$` | a/b (stacked) | | `$\sqrt{x}$` | √x | | `$\sum_{i=1}^n$` | Σ with limits | | `$\int_a^b$` | ∫ with limits | | `$\prod_{i=1}^n$` | ∏ with limits | | `$\lim_{x \to 0}$` | lim with subscript below | | `$\limsup_{n}$` | lim sup with subscript below | | `$\liminf_{n}$` | lim inf with subscript below | | `$\alpha, \beta, \gamma$` | α, β, γ | | `$\mathbb{R}$` | ℝ | | `$\mathbf{v}$` | 𝐯 | | `$\leq, \geq, \neq$` | ≤, ≥, ≠ | | `$\in, \forall, \exists$` | ∈, ∀, ∃ | | `$\rightarrow, \Rightarrow$` | →, ⇒ | | `$\infty, \partial, \nabla$` | ∞, ∂, ∇ | | `$f'(x)$` | 𝑓′(𝑥) | | `$\binom{n}{k}$` | binomial coefficient | | `$\lfloor x \rfloor$` | ⌊x⌋ | | `$\fn{name}$` | custom function name | | `$\operatorname{name}$` | same as \fn | | `$\text{words}$` | upright text in math | | `$\ll, \gg$` | ≪, ≫ | | `$\mathord{=}$` | suppress operator spacing | | `$\mathbin{:}$` | force binary operator spacing | | `$\mathrel{:}$` | force relation spacing | | `$\prec, \succ$` | ≺, ≻ | | `$\neg, \land, \lor$` | ¬, ∧, ∨ | | `$\subseteq, \setminus$` | ⊆, ∖ | | `$\mid$` | ∣ (divides) | | `$\therefore, \because$` | ∴, ∵ | | `$\wp, \imath, \jmath$` | ℘, ı, ȷ | | `$\Box$` | □ | | `$\not=$` | ≠ (\not prefix negates relations) | | `$\left.\right\|$` | invisible delimiter (evaluation bar) | | `$\overset{n}{=}$` | annotation above base | | `$\underset{x}{y}$` | annotation below base | | `$\boxed{x}$` | framed box around content | | `$\phantom{x}$` | invisible spacer | | `$\smash{x}$` | collapse height to baseline | | `$\xrightarrow{f}$` | extensible arrow with label | | `$\substack{a \\ b}$` | stacked lines | | `$\mathfrak{R}$` | Fraktur (𝔄𝔅ℭ) | | `$\mathsf{A}$` | sans-serif (𝖠𝖡𝖢) | | `$\boldsymbol{\alpha}$` | bold Greek (𝛂𝛃) | | `$\coloneqq$` | ≔ (definition) | | `$\eqqcolon$` | ≕ (reverse definition) | | `$a := b$` | ≔ (combined relation) | ### Text Commands | Command | Effect | |---------|--------| | `\textbf{x}` | **bold** | | `\textit{x}` | *italic* | | `\texttt{x}` | monospace | | `\verb\|x\|` | verbatim | | `\hrule` | horizontal line | | `\vskip{N}` | N blank lines | | `\hskip{N}` | N spaces | ### Table Syntax ``` \table[width:W, frame:STYLE, pad:{l:L,r:R}, border:STYLE, align:A]{ \row[frame:{b:STYLE}]{ \col[width:N, align:A]{content} } } ``` ### Layout Syntax ``` \begin[width]{vbox} \child[width][h_align]{content} \end{vbox} \begin[top|middle|bottom]{hbox} \child[width][h_align]{content} \end{hbox} ``` ### Settings ``` \setwidth{N} \setunicode{true|false} \setmathitalic{true} \linebreaker{greedy|knuth|raggedright} \sethyphenate{true} \setparskip{N} \setmathabove{N} \setmathbelow{N} ```

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