MathML Document Repository

Core Intent Property List

The data displayed below is derived from the YAML file core-properties.yml

Contents

• Fixity

  function , prefix , postfix , infix , silent

• Inference

  literal

• Table

  array , matrix , piecewise , system-of-equations , lines , continued-row , by-row , by-column

• Mathematical category

  number-set , largeop

• Units and currency

  unit , currency

• Number

  roman-numeral

• Geometry

  shape

• Chemistry

  chemical-element , chemical-equation

Settings

Properties

Fixity

function

Effect: the function head is voiced followed by a connector such as "of" or "applied" to, followed by the arguments separated by connecting words such as "comma" or "and"

Applicability: intent function head

f:function(x,y)

English: f of x comma y

English: f of x and y

French: f de x et y

prefix

Effect: the function followed by the arguments are voiced, with no connecting words.

Applicability: intent function head

f:prefix(x,y)

English: f x y

postfix

Effect: the arguments followed by the function are voiced, with no connecting words.

Applicability: intent function head

f:postfix(x)

English: x f

infix

Effect: the arguments are voiced, separated by the function, which may be repeated if there are more than two arguments.

Applicability: intent function head

f:infix(x,y)

English: x f y

silent

Effect: the arguments are voiced with no connecting words. The function head is not read.

Applicability: intent function head

f:silent(x,y)

English: x y

Inference

literal

Effect: Assistive technology should not infer any semantics and just speak the elements with a literal interpretation. This includes speaking leaf content literally (e.g., `|` is spoken as "vertical bar"). If `intent` is present on a child element, it overrides this property.

Applicability: all presentation elements

<mrow intent=':literal'>
  <msup intent='power($base, $exp)'> <mi arg='base'>x</mi><mn arg='exp'>2</mn> </msup>
  <mtext> is literally </mtext>
  <msup> <mi>x</mi><mn>2</mn> </msup>
</mrow>

$$x^2\text{ is literally }{x}^2$$

English: x squared is literally x superscript 2 end superscript

Table

array

Effect: the table should read the rows and columns with the default order row-first unless `array:by-column` is specified. If `by-columns` is used, column first order is used.

Applicability: mtable

:array:by-columns

<mtable arg='m' intent=':array:by-column'>
 <mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd></mtr>
 <mtr><mtd><mi>c</mi></mtd><mtd><mi>d</mi></mtd></mtr>
</mtable>

$$\begin{array}{cc}a& b\\ c& d\end{array}$$

English: the 2 by 2 array; column 1; a; row 2; c; column 2; b; row 2; d

matrix

Effect: the table should be read in a style suitable for matrices

Applicability: mtable

:matrix

<mrow intent='$m'>
 <mo>[</mo>
 <mtable arg='m' intent=':matrix'>
  <mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd></mtr>
  <mtr><mtd><mi>c</mi></mtd><mtd><mi>d</mi></mtd></mtr>
 </mtable>
 <mo>]</mo>
</mrow>

$$\left[\begin{array}{cc}a& b\\ c& d\end{array}\right]$$

English: the 2 by 2 matrix; column 1; a; column 2; b; column 1; c; column 2; d

piecewise

Effect: the table should be read in a style suitable for a piecewise definition

Applicability: mrow(mtable)

:piecewise

<mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo>
<mo>=</mo>
<mrow>
  <mo>{</mo>
  <mtable intent=":piecewise" columnalign="right left" columnspacing="0" rowspacing=".2em">
    <mtr>
      <mtd><mo>&#x2212;</mo><mi>x</mi></mtd>
      <mtd><mtext>if</mtext></mtd>
      <mtd><mi>x</mi><mo>&lt;</mo><mn>0</mn></mtd>
    </mtr>
    <mtr>
      <mtd><mi>x</mi></mtd>
      <mtd><mtext>if</mtext></mtd>
      <mtd><mi>x</mi><mo>&#x2265;</mo><mn>0</mn></mtd>
    </mtr>
  </mtable>
</mrow>

$$f(x)=\{\begin{array}{rll}-x& \text{if}& x<0\\ x& \text{if}& x\ge 0\end{array}$$

English: f of x is equal to; 3 cases, case 1; negative 1 if x; is less than 0; case 2; 0 if x, is equal to 0; case 3; 1 if x, is greater than 0;

system-of-equations

Effect: the table should be read in a style suitable for displayed equations (and inequations)

Applicability: mtable

<mtable intent=':system-of-equations'>
  <mtr>
   <mtd columnalign='right'>
    <mn>2</mn><mo>&#x2062;</mo><mi>x</mi>
   </mtd>
   <mtd columnalign='center'>
    <mo>=</mo>
   </mtd>
   <mtd columnalign='left'>
    <mn>1</mn>
   </mtd>
  </mtr>
  <mtr>
   <mtd columnalign='right'>
    <mi>y</mi>
   </mtd>
   <mtd columnalign='center'>
    <mo>></mo>
   </mtd>
   <mtd columnalign='left'>
    <mi>x</mi><mo>&#x2212;</mo><mn>3</mn>
   </mtd>
  </mtr>
 </mtable>

$$\begin{array}{ccc}\hfill 2x& \hfill =\hfill & 1\hfill \\ \hfill y& \hfill >\hfill & x-3\hfill \end{array}$$

English: 2 equations; equation 1; 2 x, is equal to, 1; equation 2; y, is greater than, x minus 3;

lines

Effect: the table should be read without implying any mathematical context other than a multi-line display

Applicability: mtable

continued-row

Effect: indicates that the row continues an equation wrapped from the row above

Applicability: mtr

by-row

Effect: indicates that the table should be read row by row

Applicability: mtable

by-column

Effect: indicates that the table should be read column by column

Applicability: mtable

Mathematical category

number-set

Applicability: mi

<mi intent=":number-set">ℂ</mi>

$$ℂ$$

English: complex numbers

English: c

largeop

Applicability: intent function, msub, msubsup munder munderover

sum:largeop(0,n,$arg)

English: the sum from 0 to n of arg

sum:largeop($C,$arg)

English: the sum over C of arg

<mrow>
 <munderover intent=":largeop">
  <mo>∑</mo>
  <mn>0</mn>
  <mi>n</mi>
 </munderover>
 <msup><mi>i</mi><m>2</m></msup>
</mrow>

$$\sum _0^n{i}^2$$

English: the sum from 0 to n of i squared

<mrow>
 <munderover intent=":largeop">
  <mo>∑</mo>
  <mrow><mi>i</mi><mo>=</mo><mn>0</mn></mrow>
  <mi>n</mi>
 </munderover>
 <msup><mi>i</mi><m>2</m></msup>
</mrow>

$$\sum _{i=0}^n{i}^2$$

English: the sum from i equals 0 to n of i squared

English: the sum as i goes from 0 to n of i squared

<mrow>
 <munder intent=":largeop">
  <mo>∑</mo>
  <mrow><mi>i</mi><mo>∈</mo><mi>I</mi></mrow>
 </munder>
 <msup><mi>i</mi><m>2</m></msup>
</mrow>

$$\sum _{i\in I}{i}^2$$

English: the sum over i in cap i of i squared

<mrow intent="sum:largeop($from,$to,$exp)">
 <munderover>
  <mo>∑</mo>
  <mn arg="from">0</mn>
  <mi arg="to">n</mi>
 </munderover>
 <msup arg="exp"><mi>i</mi><m>2</m></msup>
</mrow>

$$\sum _0^n{i}^2$$

English: the sum from 0 to n of i squared

Units and currency

unit

Applicability: mi

Comment: This includes SI units, English units, etc. It also includes radians, degrees, etc.

<mrow><mn>1.5</mn><mi intent=':unit'>km</mi></mrow>

$$1.5\mathrm{km}$$

English: 1.5 kilometres

<mrow><mn>2</mn><mi mathvariant='normal' intent=':unit'>Ω</mi></mrow>

$$2\mathrm{\Omega }$$

English: 2 ohms

currency

Applicability: mi

<mrow><mi mathvariant='normal' intent=':currency'>$</mi><mn>1.50</mn></mrow>

$$\mathrm{\$}1.50$$

English: 1.50 dollars

<mrow><mn>1.50</mn><mi intent=':currency'>USD</mi></mrow>

$$1.50\mathrm{USD}$$

English: 1.50 U S dollars

<mrow><mi mathvariant='normal' intent=':currency'>£</mi><mn>1.50</mn></mrow>

$$\mathrm{\pounds }1.50$$

English: 1.50 pounds

Number

roman-numeral

Applicability: mn

Comment: some braille codes (e.g., CMU) have special rules for roman numerals

<mi intent=':roman-numeral'>cd</mi>

$$\mathrm{cd}$$

English: c d

<mi intent=':roman-numeral'>XVI</mi>

$$\mathrm{XVI}$$

English: x v i

<mrow intent=':roman-numeral'> <menclose notation='top'><menclose notation='top'><mi>VI</mi></menclose></menclose> <menclose notation='top'><mi>XL</mi></menclose> <mi>DXXI</mi> </mrow>

$$\overline{\overline{\mathrm{VI}}}\overline{\mathrm{XL}}\mathrm{DXXI}$$

English: ???

Geometry

shape

Applicability: mo

Comment: there are many shape characters in unicode, including filled and shaded ones. Some have mathematical meaning. The shape property is used when they are meant to be used as a geometric shape.

<mo intent=':shape'>▭</mo><mi>A</mi><mi>B</mi><mi>C</mi><mi>D</mi>

$$▭ABCD$$

English: rectangle A B C D

Chemistry

chemical-element

<mrow intent=':chemical-formula'> <mmultiscripts> <mi mathvariant='normal' intent=':chemical-element'>H</mi> <mn>2</mn> <mrow/> </mmultiscripts> <mi mathvariant='normal' intent=':chemical-element'>O</mi> </mrow>

$$\mathrm{H}_2^{}\mathrm{O}$$

English: cap h 2 cap o

chemical-equation

Effect: read the term as a chemical equation

<mrow intent=':chemical-equation'>
 <mrow intent=':chemical-equation'>
  <mn>2</mn>
  <mo>&#x2062;</mo>
  <mrow intent=':chemical-equation'>
   <mmultiscripts intent=':chemical-formula'>
    <mi mathvariant='normal' intent=':chemical-element'>H</mi>
    <mn>2</mn>
    <mrow/>
   </mmultiscripts>
   <mo>&#x2063;</mo>
   <mi mathvariant='normal' intent=':chemical-element'>O</mi>
  </mrow>
 </mrow>
 <mo>⟶</mo>
 <mrow intent=':chemical-equation'>
  <mrow intent=':chemical-equation'>
   <mn>2</mn>
   <mo>&#x2062;</mo>
   <mmultiscripts intent=':chemical-formula'>
    <mi mathvariant='normal' intent=':chemical-element'>H</mi>
    <mn>2</mn>
    <mrow/>
   </mmultiscripts>
  </mrow>
  <mo>+</mo>
  <mmultiscripts intent=':chemical-formula'>
   <mi mathvariant='normal' intent=':chemical-element'>O</mi>
   <mn>2</mn>
   <mrow/>
  </mmultiscripts>
 </mrow>
</mrow>

$$2\mathrm{H}_2^{}\mathrm{O}⟶2\mathrm{H}_2^{}+\mathrm{O}_2^{}$$

English: 2, cap h, sub 2; cap o; reacts to form; 2 cap h, sub 2; plus cap o, sub 2