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 , common , legacy

• Table

  array , matrix , piecewise , system-of-equations , lines , continued-row , by-row , by-column , equation-label , no-equation-label

• Mathematical category

  number-set , largeop

• Units and currency

  unit , currency

• Number

  roman-numeral

• Geometry

  shape

• Chemistry

  chemical-element , chemical-formula , chemical-equation

• Pause

  pause-short , pause-medium , pause-long , pause-xlong

• Argname

  use-argname

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.
See literal property

Applicability: all presentation elements

common

Effect: Assistive technology should use the specified common defaults.
See common property

Applicability: all presentation elements

legacy

Effect: Assistive technology should use its system specified defaults. This is the default behavior if neither the literal property nor common property is in effect. See legacy property

Applicability: all presentation elements

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

equation-label

Effect: indicates that the cell holds an equation label. This may influence the way the surrounding mtr is announced.

Applicability: mtd

no-equation-label

Effect: indicates that the cell does not hold a label. This may be used if a table column is being used solely to hold labels to highlight empty cells for unlabeled rows.

Applicability: mtd

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

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

$$\mathrm{cd}$$

English: -c d - four hundred

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

$$\mathrm{XVI}$$

English: x v i

English: sixteen

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

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

English: v i double vinculm ; x l vinculum ; d x x i

English: six million? ; forty thousand ; five hundred and twenty one

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

Effect: read and/or braille the contents as a chemical element

Comment: typically added to an mi to indicate this is a chemical element (see chemical-formula) for an example

chemical-formula

Effect: read the term as a chemical formula

Comment: chemcial formumlas include subscripts, superscripts, bracking characters, and characters (e.g., -, =, ≡) to indicate bonds

<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

Comment: chemical equations include arrows, operators (e.g., +, -, =), and brackets (to indicate concentration)

<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

Pause

pause-short

Effect: short pause before processing the element as usual.

Applicability: all

<math><mi>a</mi><mspace intent=":pause-short" width=".2em"/><mi>b</mi></math>

$$$ ab$$$

English: a [pause.] b

pause-medium

Effect: medium pause before processing the element as usual.

Applicability: all

<math display="block" xmlns="http://www.w3.org/1998/Math/MathML">
 <mtable displaystyle="true" intent=":system-of-equations">
  <mtr>
   <mtd intent=":equation-label"><mtext>(10)</mtext></mtd>
   <mtd><mi>𝑎</mi><mi>+</mi><mi>𝑎</mi></mtd>
   <mtd><mo form="infix">=</mo><mi>𝑏</mi><mo>+</mo><mi>𝑏</mi></mtd>
   <mtd intent=":pause-medium"><mi>𝑐</mi><mo>+</mo><mi>𝑐</mi></mtd>
   <mtd><mo form="infix">=</mo><mi>𝑑</mi><mo>+</mo><mi>𝑑</mi></mtd>
  </mtr>
  <mtr>
   <mtd intent=":equation-label"><mtext>(11)</mtext></mtd>
   <mtd><mi>𝑎</mi></mtd>
   <mtd><mo form="infix">=</mo><mi>𝑏</mi></mtd>
   <mtd intent=":pause-medium"><mi>𝑐</mi></mtd>
   <mtd><mo form="infix">=</mo><mi>𝑑</mi></mtd>
  </mtr>
 </mtable>
</math>

$$\[ \begin{array}{ccccc}\text{(10)}& 𝑎+𝑎& =𝑏+𝑏& 𝑐+𝑐& =𝑑+𝑑\\ \text{(11)}& 𝑎& =𝑏& 𝑐& =𝑑\end{array} \]$$

English: line one label 10; a plus a equals b plus b [pause..] c plus c equals d plus d; line two label 11; a equals b [pause..] c equals d

pause-long

Effect: long pause before processing the element as usual.

Applicability: all

<math><mi>a</mi><mspace intent=":pause-long" width="2em"/><mi>b</mi></math>

$$$ ab$$$

English: a [pause...] b

pause-xlong

Effect: extra long pause before processing the element as usual.

Applicability: all

<math><mi>a</mi><mspace intent=":pause-xlong" width="4cm"/><mi>b</mi></math>

$$$ ab$$$

English: a [pause....] b

Argname

use-argname

Effect: Used as a self-property on an element with arg, causes the value of the arg attribute to be spoken by AT when the user moves to that child. For core concepts, this value should override argument names that would otherwise be used by AT. May be translated to the current language, or used literally if translation is not known.

Applicability: all

<mi arg="numerator" intent=":use-argname">x</mi>

$$x$$

English: numerator

French: numérateur

German: Zähler

<mi arg="denominator" intent=":use-argname">x</mi>

$$x$$

English: denominator

French: dénominateur

German: Nenner

<mn arg="base" intent=":use-argname">2</mn>

$$2$$

English: base

French: base

German: Basis

<mrow arg="lower-limit" intent=":use-argname"><mi>i</mi><mo>=</mo><mn>0</mn></mrow>

$$i=0$$

English: lower-limit

French: limite à gauche

German: Untergrenze

<mi arg="upper-limit" intent=":use-argname">n</mi>

$$n$$

English: upper-limit

French: limite à droite

German: Obergrenze