mathematical notation

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Source: https://developers.google.com/style/mathematical-notation\n\n# Mathematical notation

Stay organized with collections

Save and categorize content based on your preferences.\n\n- Home\n- Products\n- Style\n\nThis page describes how to format common mathematical notation such as

exponents, expressions, equations, operators, and variables in

documentation. Formatting best practices can help ensure that your

documentation is compatible with assistive technologies and

renders accurately.\n\nFor general information about using and formatting numbers, see

Numbers.\n\nNote: This page includes examples of formatting in HTML

and Markdown in standard text. If you're using a third-party tool to display

complex math, follow that tool's formatting guidance to ensure that your

mathematical markup displays correct.\n\n\n## Use HTML entities for mathematical symbols\n\nIn general, use HTML entities for mathematical symbols instead of keyboard

symbols. The following table lists entities for symbols that are common in

arithmetic and algebra. For the plus sign (+), equals sign

(=), and division sign (/), you can use

their keyboard equivalents.\n\n\nSymbol | Markup | Description\n+ | Use the keyboard symbol. | Plus sign\n− | − | Minus sign\n× | × | Multiplication sign

Alternatively, you can use the dot operator ∙

(∙) or asterisk operator *

(*) to match the UI. Don't use an asterisk

(*) to indicate multiplication in text.

You can indicate multiplication by omitting the multiplication

symbol if doing so doesn't create ambiguity—for example,

instead of a × b, you can write

ab.\n/ | Use the keyboard symbol. | Division sign\n= | Use the keyboard symbol. | Equals sign\n≠ | &ne; | Not equal to\n± | &plusmn; | Plus-minus sign\n∓ | &mnplus; | Minus-plus sign\n< | &lt; | Less than sign\n> | &gt; | Greater than sign\n≈ | &asymp; | Approximately equal to\n≉ | &nap; | Not approximately equal to\n≅ | &cong; | Congruent to\n≤ | &le; | Less than or equal to\n≥ | &ge; | Greater than or equal to\n≡ | &equiv; | Identical to\n≢ | &nequiv; | Not identical to\n√ | &radic; | Square root\n∑ | &sum; | N-ary summation\n\nMultiplication sign\n\nAlternatively, you can use the dot operator ∙

(&#8729;) or asterisk operator *

(&#42;) to match the UI. Don't use an asterisk

(*) to indicate multiplication in text.\n\nYou can indicate multiplication by omitting the multiplication

symbol if doing so doesn't create ambiguity—for example,

instead of a × b, you can write

ab.\n\n\n## Format mathematical notation\n\nThe following sections provide formatting for common math-related notation.\n\n\n### Operators\n\nTo ensure accessibility and accurate HTML syntax, use

HTML entities

instead of keyboard symbols for operators. For example, use

&minus; instead of a hyphen (-).\n\nInclude a non-breaking space (&nbsp;) on both sides

of operators within a single expression, equation, or

statement.\n\nDon't italicize operators.\n\nRecommended: a − b\n\nTo render a − b, use the following markup:\n\n- HTML: <i>a</i>&nbsp;&minus;&nbsp;<i>b</i>\n- Markdown: _a_&nbsp;&minus;&nbsp;_b_\n\n\n### Variables\n\nItalicize variables.\n\nRecommended: x ≠ y\n\nRecommended: xy\n\nRecommended: yi\n\nTo render x ≠ y, use the following markup:\n\n- HTML: <i>x</i>&nbsp;&ne;&nbsp;<i>y</i>\n- Markdown: _x_&nbsp;&ne;&nbsp;_y_\n\n\n### Expressions and equations\n\nInclude short expressions and equations inline with your text.\n\nInclude a non-breaking space (&nbsp;) between components

such as operators and variables so that the expression or equation renders on

the same line.\n\nWhen an expression or equation creates an awkward line break, consider

placing it on its own line.\n\nRecommended: The equation

that describes a linear trend line is

y = a + bx.\n\nRecommended: The equation

that describes a polynomial trend line, where the order is o, is the

following:

y = a + b × x + ... + k × xo\n\nTo render y = a + bx, use the

following markup:\n\n- HTML: <i>y</i>&nbsp;&=&nbsp;<i>a</i>&nbsp;+&nbsp;<i>bx</i>\n- Markdown: _y_&nbsp;&=&nbsp;_a_&nbsp;+&nbsp;_bx_\n\n\n### Fractions\n\nExpress fractions as decimal numbers, when possible.

If you must express fractions as words, connect the numerator and

denominator with a hyphen unless one of them is already hyphenated.\n\nExpress fractions as decimal numbers, when possible.\n\nIf you must express fractions as words, connect the numerator and

denominator with a hyphen unless one of them is already hyphenated.\n\nRecommended: 0.02\n\nRecommended: one and one-half\n\nRecommended: three-sevenths\n\nRecommended: three seventy-fourths\n\n\n### Exponents and subscripts\n\nUse

standard mathematical notation.

Don't put a space between the base and the exponent.\n\nTo render exponents, use the HTML <sup> tag. Don't use the

keyboard caret symbol (^) to indicate an exponent.\n\nTo render subscripts, use the HTML <sub> tag.\n\nRecommended: 23\n\nRecommended: xy\n\nRecommended: yi\n\nNot recommended: 2^3\n\nTo render 23, use the following markup in HTML and Markdown:

2<sup>3</sup>\n\n\n## Notation as words\n\nIn general, you can use mathematical notation in place of words in running

text. For example, in a sentence, you might use the statement

x ≠ y instead of writing "x is not equal to

y." If the use of notation instead of words creates ambiguous, grammatically

incorrect, or difficult-to-read text, then use words to convey the

mathematical concept.\n\nRecommended: Check

whether a > b.\n\nRecommended: The area

is calculated by multiplying the length by the width.\n\nNot recommended: Check

whether a is greater than b.\n\nNot recommended: The

area is calculated by multiplying l × w.\n\n\n## Provide visuals for math concepts\n\nAccompany math concepts and numerals with

diagrams or other images

to support comprehension. For example, if comparing statistics, consider illustrating percentages in

a pie chart or a bar graph.\n\n\n## More resources\n\n- Numbers\n- Units of measure\n- Text-formatting summary\n