Suggested Organization of Math AutoCorrect Entries

Work in Progress!

To-do list:

• Settle on table column headers
• Include any relevant entries from the list of new Math AutoCorrect entries we are suggesting
• Find a way to indicate the entries that are new/suggested (don't currently exist)
• Ensure examples are as general and basic as possible
• Get speech text from MathCAT ClearSpeak Verbose for each example

Background and Need

• See Microsoft support page on needs improvement for background information and discussion.

Implementation Approach

• This page should create one list which is organized into categories indicating usage with the goal of making the commonly used Math AutoCorrect entries easier to find
• The symbols by grade listing page is documentation what would specifically be created to support TVI's, and not for Microsoft. The page with that effort has been moved to Math AutoCorrect Entries Organized by Grade Level

List of Commonly Used Math AutoCorrect Entries in Word 365

Notes:

• Important: The codes are case-sensitive.
• When spaces are important in the UnicodeMath examples provided below, a space is represented by the characters <sp>.
• See Reference List Math Autocorrect Entries in MS Word 365 (Alphabetical) for a complete list of the Math AutoCorrect entries found in Microsoft Word 365 (sorted alphabetically by keyword).
• For information on inserting a symbol that does not have a Math AutoCorrect entry, see Insert a check mark or other symbol.

Basic Arithmetic Operations

Description	Keyword	Symbol	Example Usage	LaTeX Equivalent	Example Output	Notes
Addition	+	+	a + b	a + b	$a + b$	Basic operator; no AutoCorrect needed
Subtraction/Minus	-	−	a - b	a - b	$a - b$	Basic operator; no AutoCorrect needed
Multiplication (dot)	\cdot	⋅	a \cdot b	a \cdot b	$a \cdot b$
Multiplication (times)	\times	×	a \times b	a \times b	$a \times b$
Division sign	\div	÷	6\div<sp>3	6\div 3	$6\div 3$
Plus or Minus	\pm	±	a \pm b	a \pm b	$a \pm b$	Can also type +-
Minus or Plus	\mp	∓	a \mp b	a \mp b	$a \mp b$	Can also type -+

Fractions

Description	Keyword	Symbol	Example Usage	LaTeX Equivalent	Example Output	Notes
Stacked fraction	/		6/3	\frac{6}{3}	$\frac{6}{3}$	Basic operator; no AutoCorrect needed
Skewed (bi-level) fraction	\sdivide		6\sdivide<sp>3	N/A	Cannot create this in LaTeX/MathML on this wiki
Linear fraction	\ldivide		6\ldivide<sp>3	6/3	$6/3$

Numbers and Basic Functions

Description	Keyword	Symbol	Example Usage	LaTeX Equivalent	Example Output	Notes
Square Root	\sqrt	√	\sqrt x	\sqrt{x}	$\sqrt{x}$
Cube Root	\cbrt	∛	\cbrt x	\sqrt[3]{x}	$\sqrt[3]{x}$
Exponent/Power	^	^	x^2	x^{2}	$x^{2}$	Basic operator; no AutoCorrect needed
Subscript	_	_	x_1	x_{1}	$x_{1}$	Basic operator; no AutoCorrect needed
Infinity	\infty	∞	x \to \infty	x \rightarrow \infty	$x \rightarrow \infty$	Also available: \oo
Factorial	!	!	n!	n!	$n!$	Basic operator; no AutoCorrect needed

Common Mathematical Relationships

Description	Keyword	Symbol	Example Usage	LaTeX Equivalent	Example Output	Notes
Equal	=	=	a = b	a = b	$a = b$	Basic operator; no AutoCorrect needed
Not Equal	\ne	≠	a \ne b	a \neq b	$a \neq b$	Also available: \neq or /=
Less Than	<	<	a < b	a < b	$a &lt; b$	Basic operator; no AutoCorrect needed
Greater Than	>	>	a > b	a > b	$a &gt; b$	Basic operator; no AutoCorrect needed
Less Than or Equal	\le	≤	a \le b	a \leq b	$a \leq b$	Also available: \leq or <=
Greater Than or Equal	\ge	≥	a \ge b	a \geq b	$a \geq b$	Also available: \geq or >=
Approximately Equal	\approx	≈	a \approx b	a \approx b	$a \approx b$
Proportional To	\propto	∝	a \propto b	a \propto b	$a \propto b$

Sets and Logic

Description	Keyword	Symbol	Example Usage	LaTeX Equivalent	Example Output	Notes
Element Of	\in	∈	x \in A	x \in A	$x \in A$
Not Element Of	\notin	∉	x \notin A	x \notin A	$x \notin A$	Also available: /\in
Subset of	\subset	⊂	A \subset B	A \subset B	$A \subset B$
Superset of	\supset	A\supset<sp>B	$A \supset B$
Subset or equal to	\subseteq	A\subseteq<sp>B	$A \subseteq B$
Superset or equal to	\supseteq	A\supseteq<sp>B	$A \supseteq B$
Union	\cup	∪	A \cup B	A \cup B	$A \cup B$
Intersection	\cap	∩	A \cap B	A \cap B	$A \cap B$
And	\wedge	∧	P \wedge Q	P \wedge Q	$P \wedge Q$
Or	\vee	∨	P \vee Q	P \vee Q	$P \vee Q$
For All	\forall	∀	\forall x	\forall x	$\forall x$
There Exists	\exists	∃	\exists x	\exists x	$\exists x$

Special Sets:

Description	Keyword	Symbol	Example Usage	LaTeX Equivalent	Example Output	Notes
Empty Set	\emptyset	∅	A = \emptyset	A = \emptyset	$A = \emptyset$
Complex Numbers	\C	z\in\C	$z\in\mathbb{C}$
Integers	\Z	n\in\Z<sp>	$z\in\mathbb{Z}$
Natural numbers	\N	x\in\N	$x\in\mathbb{N}$
Rational Numbers	\Q	q\in\Q<sp>	$q\in\mathbb{Q}$
Real Numbers	\R	y\in\R<sp>	$y\in\mathbb{R}$

Greek Letters (Common)

Description	Keyword	Symbol	Example Usage	LaTeX Equivalent	Example Output	Notes
Alpha	\alpha	α	\alpha	\alpha	$\alpha$	For angles/radiation
Beta	\beta	β	\beta	\beta	$\beta$	For angles/radiation
Delta	\delta	δ	\delta	\delta	$\delta$	For change in a value
Gamma	\gamma	γ	\gamma	\gamma	$\gamma$	For angles/radiation
Lambda	\lambda	λ	\lambda	\lambda	$\lambda$	For wavelength
Mu	\mu	μ	\mu	\mu	$\mu$	for micro-prefix or friction
Omega	\omega	ω	\omega	\omega	$\omega$	For angular velocity
Pi	\pi	π	\pi	\pi	$\pi$	For circles and trigonometry
Phi	\phi	φ	\phi	\phi	$\phi$	For angles
Rho	\rho	ρ	\rho	\rho	$\rho$	For density in physics
Capital Sigma	\Sigma	Σ	\Sigma	\Sigma	$\Sigma$	For summations
Tau	\tau	τ	\tau	\tau	$\tau$
Theta	\theta	θ	\theta	\theta	$\theta$	For angles

Calculus and Analysis

Description	Keyword	Symbol	Example Usage	LaTeX Equivalent	Example Output	Notes
Integral	\int	∫	\int f(x)dx	\int f(x)dx	$\int f(x)dx$
Double Integral	\iint	∬	\iint f(x,y)dxdy	\iint f(x,y)dxdy	$\iint f(x,y)dxdy$
Partial Derivative	\partial	∂	\partial f/\partial x	\frac{\partial f}{\partial x}	$\frac{\partial f}{\partial x}$
Sum	\sum	∑	\sum x_i	\sum x_{i}	$\sum x_{i}$
Product	\prod	∏	\prod x_i	\prod x_{i}	$\prod x_{i}$
Limit	lim	lim	lim_{x\to\infty}	\lim_{x \to \infty}	$\lim_{x \to \infty}$	Text function; no AutoCorrect needed
Delta/Change	\Delta	Δ	\Delta x	\Delta x	$\Delta x$
Gradient/Nabla	\nabla	∇	\nabla f	\nabla f	$\nabla f$

Vectors and Geometry

Description	Keyword	Symbol	Example Usage	LaTeX Equivalent	Example Output	Notes
Line Segment (overbar)	\overbar	\overbar(AB)	$$\overline{AB}$$
Line (left right arrow above)	\tvec	(AB)\tvec<sp><sp>	$$\overleftrightarrow{AB}$$
Vector	\vec	⃗	\vec{v}	\vec{v}	$\vec{v}$	Adds arrow accent to character
Angle	\angle	∠	\angle ABC	\angle ABC	$\angle ABC$
Right angle sign	221f Alt+x	221f Alt+x A	$$∟A$$
Perpendicular	\perp	⊥	A \perp B	A \perp B	$A \perp B$
Not perpendicular to	/\perp	\overbar(AB)<sp>/\perp<sp>\overbar(DF)	$$\overline{AB}\not\perp\overline{DF}$$

| Parallel | \parallel | ∥ | A \parallel B | A \parallel B | $A \parallel B$ | | |Not parallel to|/\parallel|\overbar(AB)/\parallel\overbar(CD)|$\overline{AB}\not\parallel\overline{CD}$|

| Degree | \degree | ° | 90\degree | 90^\circ | $90^\circ$ | | | Triangle | - | △ | △ABC | \triangle ABC | $\triangle ABC$ | Currently no AutoCorrect entry available | |Circle| 25ef Alt+x | 25ef Alt+x A | $$◯A$$ |

Chemistry and Physics

Description	Keyword	Symbol	Example Usage	LaTeX Equivalent	Example Output	Notes
Right Arrow	\rightarrow	→	A \rightarrow B	A \rightarrow B	$A \rightarrow B$	Also available: \to or ->
Left Right Arrow	\leftrightarrow	↔	A \leftrightarrow B	A \leftrightarrow B	$A \leftrightarrow B$
Approximately	\approx	≈	pH \approx 7	pH \approx 7	$pH \approx 7$
Plus or Minus	\pm	±	5 \pm 0.1	5 \pm 0.1	$5 \pm 0.1$	Can also type "+-"
Degrees Celsius	\degc	℃	25\degc	25\,^{\circ}\mathrm{C}	$25\,^{\circ}\mathrm{C}$
Much Less Than	\ll	≪	m_e \ll m_p	m_e \ll m_p	$m_e \ll m_p$	Can also type "<<"
Much Greater Than	\gg	≫	F_g \gg F_e	F_g \gg F_e	$F_g \gg F_e$	Can also type ">>"

Matrix and Array Operations

Description	Keyword	Symbol	Example Usage	LaTeX Equivalent	Example Output	Notes
Bare Matrix	\matrix	■	\matrix(a&b@c&d)	\begin{matrix} a & b \\ c & d \end{matrix}	$\begin{matrix} a & b \\ c & d \end{matrix}$
Matrix with Parentheses	\pmatrix	⒨	\pmatrix(a&b@c&d)	\begin{pmatrix} a & b \\ c & d \end{pmatrix}	$\begin{pmatrix} a & b \\ c & d \end{pmatrix}$
Vertical Bar/Determinant	\vert	|	\vert A\vert	\lvert A \rvert	$\lvert A \rvert$	Also available: | (pipe character)
Matrix Column Separator	&	&	a & b	a & b		Basic operator; no AutoCorrect needed
Matrix Row Separator	@	@	a@b	\\		Basic operator; no AutoCorrect needed

Miscellaneous Common Symbols

Description	Keyword	Symbol	Example Usage	LaTeX Equivalent	Example Output	Notes
Therefore	\therefore	∴	A=B, \therefore B=A	A=B,\ \therefore B=A	$A=B,\ \therefore B=A$
Because	\because	∵	\because A=B, B=C	\because A=B,\ B=C	$\because A=B,\ B=C$
Infinity	\infty	∞	x \to \infty	x \rightarrow \infty	$x \rightarrow \infty$	Also available: \oo
Horizontal ellipsis centered vertically	\cdots	⋯	1 + 2 + \cdots + n	1 + 2 + \cdots + n	$1 + 2 + \cdots + n$
Vertical ellipsis centered horizontally	\vdots	⋮	\vdots	\vdots	$\vdots$
Downward-slanting diagonal ellipsis	\ddots	⋱	\ddots	\ddots	$\ddots$
General ellipsis (used in lists)	\dots	…	1, 2, 3,\dots	1, 2, 3,\dots	$1, 2, 3,\dots$	Also available: \ldots

Related pages

• For information in adding, editing, viewing all Math AutoCorrect entries, or adjusting their settings, see MICROSOFT SHOULD CREATE THIS PAGE
• For information on using these Math AutoCorrect entries to create math expressions using the Equation Editor, please see: MICROSOFT SHOULD CREATE THIS PAGE: something more comprehensive than the current support page but at a lower reading level than the UnicodeMath A Nearly Plain-Text Encoding of Mathematics UTN