Mathematical delimiter 2026-11-05
A mathematical delimiter is a symbol used to enclose or separate parts of a mathematical expression, such as parentheses, brackets or vertical bars. Its visible size should suit the enclosed material. Mathematical typesetting can select a larger mathematical glyph variant or construct a mathematical glyph assembly when a default glyph is too small.[ref]
MATH - The Mathematical Typesetting Table by Microsoft. MathVariants and MathGlyphConstruction: ready-made variants and assemblies for growing shapes
For example, compare the grouping inThe parentheses enclose the complete typeset fraction, so its height and depth inform their layout. The superscript applies to the grouped expression. In TeX,
\left( and \right) request paired size-sensitive delimiters around the enclosed material. The stored parenthesis characters can therefore yield different glyphs in different formula contexts. Mathematical typesetting 2026-11-05
Mathematical typesetting arranges symbolic expressions in two dimensions. It must coordinate computer fonts, glyph positioning, typesetting boxes and text baselines while preserving the expression's visible structure. A typeset fraction positions its components above and below a bar; superscripts, subscripts, square roots and mathematical delimiters impose other geometric relationships.[ref]
MATH - The Mathematical Typesetting Table by Microsoft. Overview: hierarchical formulas, recursive layout and component boxes
For example,contains a superscript inside the upper component and a square root inside the lower component. Their dimensions help determine the height of the complete typeset fraction. A larger expression may then require larger surrounding mathematical delimiters. Laying out the smallest parts first makes this a recursive geometric construction.
An OpenType MATH table supplies font-specific information such as placement constants and suitable glyph variants. The table supplies data for layout; different implementations can use those data in different algorithms. TeX and LaTeX provide established authoring systems for expressing such mathematical structure.[ref]
MATH - The Mathematical Typesetting Table by Microsoft. Overview and MATH table structures: font data rather than a complete layout algorithm
OpenType MATH table 2026-11-05
An OpenType MATH table stores font-specific information for mathematical typesetting. Its major components supply mathematical font constants, per-glyph placement information, and data for mathematical glyph variants or mathematical glyph assemblies.[ref]
MATH - The Mathematical Typesetting Table by Microsoft. MATH header: MathConstants, MathGlyphInfo and MathVariants
For example, a tall typeset fraction can require larger surrounding mathematical delimiters. The font may offer several ready-made parentheses and parts for assembling still taller ones. An implementation can use those data together with the expression's measured dimensions. Merely scaling one outline uniformly could change its stroke weight along with its height; the supplied variants and parts give the font designer more control over the result.
The same general division of labour applies to subscripts and superscripts: a font supplies relevant dimensions and placement information, while the layout process combines them with the actual expression. The table is a data interface used by layout algorithms. It does not uniquely prescribe the complete appearance of every formula.[ref]
MATH - The Mathematical Typesetting Table by Microsoft. Overview; MathVariants and GlyphAssembly
Typeset fraction 2026-11-05
A typeset fraction is a two-dimensional layout that places one expression above another, commonly with a horizontal rule between them. The components are laid out as typesetting boxes before they are assembled. In MathML, an
mfrac element supplies the two components; mathematical typesetting style affects their presentation.[ref]For example,has a superscript in its upper component and a square root in its lower component. Their dimensions influence the space above and below the fraction rule. The expression's algebraic meaning and its geometry are related but distinct: the layout can contain arbitrary expressions, including ones whose values are not rational numbers.
A simple own box model makes the horizontal placement explicit. Suppose the component widths are and , and the layout adds a chosen side allowance . If both components are centred in widththeir left offsets are and . This is an illustrative centring model; real layouts also use vertical clearances, rule thickness and font data from an OpenType MATH table.