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Suggested Organization of Math AutoCorrect Entries

Brian Richwine edited this page Oct 28, 2024 · 14 revisions

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

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:

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 / / a/b \frac{a}{b} $\frac{a}{b}$ Basic operator; no AutoCorrect needed
Division (skewed) \sdiv a \sdiv b a/b $a/b$ Also available: \sdivide
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 "-+"

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 \subset A \subset B A \subset B $A \subset B$
Empty Set \emptyset A = \emptyset A = \emptyset $A = \emptyset$
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 $\exists x$

Greek Letters (Common)

Description Keyword Symbol Example Usage LaTeX Equivalent Example Output Notes
Alpha \alpha α \alpha \alpha $\alpha$
Beta \beta β \beta \beta $\beta$
Delta \delta δ \delta \delta $\delta$
Theta \theta θ \theta \theta $\theta$
Pi \pi π \pi \pi $\pi$
Sigma \sigma σ \sigma \sigma $\sigma$
Mu \mu μ \mu \mu $\mu$
Tau \tau τ \tau \tau $\tau$
Omega \omega ω \omega \omega $\omega$

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
Vector \vec \vec{v} \vec{v} $\vec{v}$ Adds arrow accent to character
Angle \angle \angle ABC \angle ABC $\angle ABC$
Perpendicular \perp A \perp B A \perp B $A \perp B$
Parallel \parallel A \parallel B A \parallel B $A \parallel B$
Degree \degree ° 90\degree 90^\circ $90^\circ$
Triangle - △ABC \triangle ABC $\triangle ABC$ Currently no AutoCorrect entry available

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} $\begin{matrix} a &amp; b \\ c &amp; d \end{matrix}$
Matrix with Parentheses \pmatrix \pmatrix(a&b@c&d) \begin{pmatrix} a & b \\ c & d \end{pmatrix} $\begin{pmatrix} a &amp; b \\ c &amp; d \end{pmatrix}$
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

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