OneHotkey: Faster Math Input in OneNote/Word

• 中文版介绍：README_CN.md
• 这是一个用于简化 OneNote 和 Word 中数学公式输入的 AutoHotKey 脚本，例如，\a 代表 $\alpha$ (\alpha)。

This is a script that simplifies math formula inputs in OneNote and Word with AutoHotKey script, e.g., \a for $\alpha$ (\alpha).

Demonstration video (Early version):

• OneNote快速数学公式输入实战演示1
• AutoHotKey增强OneNote公式输入_测试1_哔哩哔哩_bilibili

If the formulas aren't displayed correctly, go to README_EN.pdf.

How to Use

1. Download and run OneHotkey.exe.
2. Input the code of the symbol, then press Space to get the symbol. For example, input \a and press Space to get $\alpha$.
3. For editting the symbol mapping, please refer to Code Editing Guide. If you need help, go to the AutoHotKey official website.
4. To stop the script, right click the H icon in the system tray and select Exit.

Table of Contents

• OneHotkey: Faster Math Input in OneNote/Word
  • How to Use
  • Table of Contents
  • Symbol Mapping
    • Overview
    • Full Table
      • Frequently Used Letters
      • Operators
      • Greek Letters
      • Matrix
      • Modifiers
      • Arrows
      • Symbols
      • Structures
      • Prefix for Fancy Letters
      • Multi-column Equations
      • Theorem Structures
  • Recommendations
  • Experimental Features (In folder experimental/)
  • Code Editing Guide

Symbol Mapping

Overview

The script contains multiple symbol mappings, including Greek letters, math fonts, frequently used letters, and structures. The following is a list of some typical mappings. Make sure that you have entered the formula input mode with Alt+=.

Code	Output	Category	Source
\a	$\alpha$	lowercase Greek letters	\alpha
\D	$\Delta$	uppercase Greek letters	\Delta
\R, \C, \Z, \N, \J	ℝ, ℂ, ℤ, ℕ, 𝕁	frequently used letters	\doubleR , ...
\do X, \sc X, \fr X	𝕏, 𝒳, 𝔛	fancy letter forms	\doubleX , \scriptX , \frakturX
\m3, \m4, ...	specific shape matrices	matrices	[\matrix(@@&&)] , ...
x\h, x\~, x\d2	$\hat{x}$, $\tilde{x}$, $\ddot{x}$	modifiers	\hat , \tilde , \ddot
\x, \X, \sq, \pa, \eq	$\cdot$, $\times$, $\sqrt{⬚}$, $\parallel$, $\equiv$	operators	\cdot , \times, \sqrt , \parallel , \equiv
\pd, \d, \dt, \inf	$\partial$, $\text{d}$, $\frac{\text{d}}{\text{d}t}$, $\infty$	frequently used symbols	\partial , "d" , "d" /"d" t , \infty
\limx, \limx0	$ \lim_{x \rightarrow \infty} $, $ \lim_{x \rightarrow 0} $	limits	lim_(x->\infty ) , lim_(x->0 )
\ls	$^⬚_⬚ P$	left super-and-lowerscript	^_ P
\i, \j, \k	$\text{i}$, $\text{j}$, $\text{k}$	imaginary/quaternion symbols	"i", "j", "k"
\ejw	$e^{j\omega}$	complex exponential factor	e^j\omega

You shall notice that (space) is commonly used, which is the key feature of OneNote formula input.

Full Table

Frequently Used Letters

Code	Output	Source	Code	Output	Source
\pd	$\partial$	\partial{Space}	\d	$\text{d}$	"d"{Space}
\inf	$\infty$	\infty{Space}	\dt	$\frac{\text{d}}{\text{d}t}$	"d"{Space}/"d"{Space}t{Space}{Left 4}^i
\R	$\mathbb{R}$	\doubleR{Space}	\E	$\mathbb{E}[⬚]$	\doubleE{Space}[]{Space}{Left}
\Q	$\mathbb{Q}$	\doubleQ{Space}	\Z	$\mathbb{Z}$	\doubleZ{Space}
\N	$\mathbb{N}$	\doubleN{Space}	\C	$\mathbb{C}$	\doubleC{Space}
\J	$\mathbb{J}$	\doubleJ{Space}	\n	$\nabla$	\nabla{Space}

Operators

Code	Output	Source	Code	Output	Source
\x	$\cdot$	\cdot{Space}	\X	$\times$	\times{Space}
\sq	$\sqrt{⬚}$	\sqrt{Space 2}{Left}	\pa	$\parallel$	\parallel{Space}
\ss	$\subset$	\subset{Space}	\sse	$\subseteq$	\subseteq{Space}
\op	$\oplus$	\oplus{Space}	\ox	$\otimes$	\otimes{Space}
\od	$\odot$	\odot{Space}	\dd	$\ddots$	\ddots{Space}
\cd	$\cdots$	\cdots{Space}	\vd	$\vdots$	\vdots{Space}
\map	$\mapsto$	\mapsto{Space}	\pro	$\propto$	\propto{Space}
\as	$\because$	\because{Space}	\so	$\therefore$	\therefore{Space}
\eq	$\equiv$	\equiv{Space}	\deq	$\triangleq$	\Deltaeq{Space}
\xe	$\times 10^{⬚}$	\times{Space}10{^}{Space}{Left}	\ex	$\exists$	\exists{Space}
\fa	$\forall$	\forall{Space}	\ppd	$\frac{\partial}{\partial}$	\partial{Space}/\partial{Space 2}{Left 3}
\ppd	$\frac{\partial}{\partial}$	\partial{Space}/\partial{Space 2}{Left 3}

Greek Letters

Code	Output	Source	Code	Output	Source
\a	$\alpha$	\alpha{Space}	\b	$\beta$	\beta{Space}
\e	$\varepsilon$	\varepsilon{Space}	\ve	$\epsilon$	\epsilon{Space}
\de	$\delta$	\delta{Space}	\D	$\Delta$	\Delta{Space}
\s	$\sigma$	\sigma{Space}	\S	$\Sigma$	\Sigma{Space}
\l	$\lambda$	\lambda{Space}	\L	$\Lambda$	\Lambda{Space}
\t	$\theta$	\theta{Space}	\T	$\Theta$	\Theta{Space}
\p	$\phi$	\phi{Space}	\P	$\Phi$	\Phi{Space}
\o	$\omega$	\omega{Space}	\O	$\Omega$	\Omega{Space}
\g	$\gamma$	\gamma{Space}	\G	$\Gamma$	\Gamma{Space}

• ve means variant epsilon. For convenience, \e is set to $\varepsilon$ and \ve is set to $\epsilon$, which is different from their original code.

Matrix

Code	Output	Source
\m4	4 by 4 empty matrix	[\matrix(@@@&&&){Space}]{Space}
\m3	3 by 3 empty matrix	[\matrix(@@&&){Space}]{Space}
\m2	2 by 2 empty matrix	[\matrix(@&){Space}]{Space}
\m	empty matrix awaiting & @ to set size	[]{Space}{Left}\matrix(){Left}

Modifiers

Code	Output	Source
\d1	$\dot{x}$	\dot{Space 2}
\d2	$\ddot{x}$	\ddot{Space 2}
\d3	3 dots above	\dddot{Space 2}
\d4	4 dots above	\ddddot{Space 2}
\~	$\tilde{x}$	\tilde{Space 2}
\v	$\vec{x}$	\vec{Space 2}
\h	$\hat{x}$	\hat{Space 2}
\ub	$\underline{x}$	\underbar{Space 2}{Left}

• For the above codes, you should input like x\h .

Arrows

Code	Output	Source	Code	Output	Source
\lr	$\leftrightarrow$	\leftrightarrow{Space}	\Lr	$\Leftrightarrow$	\Leftrightarrow{Space}
\lrs	$\leftrightarrows$	\leftrightarrows{Enter}{Left}	\la	$\leftarrow$	\leftarrow{Space}
\La	$\Leftarrow$	\Leftarrow{Space}	\ra	$\rightarrow$	\rightarrow{Space}
\Ra	$\Rightarrow$	\Rightarrow{Space}	\down	$\downarrow$	\downarrow{Space}
\up	$\uparrow$	\uparrow{Space}

Symbols

Code	Output	Source	Code	Output	Source
\deg	$\degree$	\degree{Space}	\st	$\star$	\star{Space}

Structures

Code	Output	Source
\r	$\lbrace⬚$	\right.{Left}
\leb	$⬚\rbrace$	\left\box{Space 2}{Left}
\ceil	$\lceil⬚\rceil$	\lceil{Space}\rceil{Space 2}{Left}
\floor	$\lfloor⬚\rfloor$	\lfloor{Space}\rfloor{Space 2}{Left}
\brak	⟨⬚⟩	\bra{Space}\ket{Space 2}{Left}
\ls	$^⬚_⬚ P$	^_ P {Left 4}
\ab	$\stackrel{⬚}{x}$	\above{Space 2}{Left}
\be	$\underset{⬚}{x}$	\below{Space 2}{Left}
\abb	$\overbrace{x}$	\overbrace{Space 2}
\beb	$\underbrace{x}$	\underbrace{Space 2}
\fu	$\text{myfunction}{⬚}$	\funcapply
\Norm	$\Vert⬚\Vert$	\norm{Space}\norm{Space 2}{Left}
\limx, \limx0	$ \lim_{x \rightarrow \infty} $, $ \lim_{x \rightarrow 0} $	lim_(x->\infty{Space}){Space}, lim_(x->0{Space}){Space}
\limt, \limt0	$ \lim_{t \rightarrow \infty} $, $ \lim_{t \rightarrow 0} $	lim_(t->\infty{Space}){Space}, lim_(t->0{Space}){Space}
\limn, \limk	$ \lim_{n \rightarrow \infty} $, $ \lim_{k \rightarrow \infty} $	lim_(n->\infty{Space}){Space}, lim_(k->\infty{Space}){Space}
\limh	$ \lim_{h \rightarrow 0} $	lim_(h->0{Space}){Space}
\BO	$\boxed{⬚}$	\boxed{Enter}{Left 2}
\qu	Quad space	\quad{Enter}{Left}
\diverge	$\frac{\partial}{\partial x}+\frac{\partial}{\partial y}+\frac{\partial}{\partial z}$	Omitted
\gradient	$\frac{\partial}{\partial x}\vec{a}_x+\frac{\partial}{\partial y}\vec{a}_y+\frac{\partial}{\partial z}\vec{a}_z$	Omitted
\curl	Curl matrix

• \funcapply is a little different from \of. Have a try by yourself!

Prefix for Fancy Letters

Code	Output	Source
\sc	$\mathcal{X}$	\script
\do	$\mathbb{X}$	\double
\fr	$\mathfrak{X}$	\fraktur

• For these mappings, your input should be like \sc X .

Multi-column Equations

Code	Output	Source
\eq2	Two-column equation	\eqarray(&=@&=){Space}{Left 6}
\eqs	Example equation array	\eqarray(a\quad&b@c\quad&e){Enter}{Left 11}

Note: Multi-column equations are used for aligning multiple equations, using @ as placeholder and & as alignment point.

Theorem Structures

Code	Output	Source
\pf	Proof structure	^bProof.^b{Enter 2}!={Space}{#}\qed{Enter}{Left 7}
\thm	Theorem structure	^bTheorem{Space}.^b^i{Space}{Left 2}
\que	Question structure	^bQuestion{Space}.^b{Space}{Left 2}

Recommendations

• Learn more about the math input from this document: UTN28-PlainTextMath-v3.pdf. Page 39~47 is useful.
• Input Unicode characters directly: https://github.com/gtj1/symbol_assist
• Intuitive Vim-like text cursor control: https://github.com/RUSRUSHB/AutoTextCursor

Experimental Features (In folder experimental/)

key_combination.exe

• Use key combinations to input special characters and structures
• Contains: Start formula inputting; Division line; Boxed text; Text block

rus_hotkey.exe

• Input Russian alphabets. They can be integrated into formula inputting.
• Format: \+Romanized Alphabet+R
• e.g.,\dR generates д，\DR generates Д

Code Editing Guide

For editing the mapping, please: Edit OneHotkey.ahk, compile it with Ahk2Exe, and run the compiled .exe file. You are recommended to learn more about AutoHotKey from its website.

The code of OneHotkey.ahk is very easy to understand, even if you have not learnt about AutoHotKey. For newcomers, the explanation of the code is as follows:

Each line of the code is a mapping of the input code to the output symbol. The format is :(parameters):input::output. For example, ::\a::\alpha means that when you input \a, the script will output \alpha .

The script uses global hotstring settings #Hotstring c o ?, which apply to all mappings:

Parameter	Meaning
c	Case-sensitive. \a and \A are different.
o	Delete the Space you entered at the end.
?	Output formula even if you have typed something before the code. Otherwise, it will fail in cases like x\h