Office Equation Editor Shortcuts To use these shortcuts, you must first be in the equation editor. It can be found under the “Insert” tab. You can also press “alt” and “+” at the same time. Note that there are some things that can’t be done by keyboard. For instance, piecewise functions require the menu (as far as I know). Also, the symbol doesn’t appear until you press “space”. Symbols \angle ∠ \rightarrow → \cdot ⋅ \inc ∆ \leftarrow ← \div ÷ \degree ° \uparrow ↑ \pm ± \bot ⊥ \downarrow ↓ \mp ∓ \parallel ∥ \nearrow ↗ \circ ∘ \cong ≅ \searrow ↘ \odot ⊙ \approx ≈ \nwarrow ↖ \oplus ⊕ \simeq ≃ \swarrow ↙ \otimes ⊗ \sim ∼ \leftrightarrow ↔ \ominus ⊖ \ne ≠ \Leftarrow ⇐ \star ⋆ \leq ≤ \Rightarrow ⇒ \cdots ⋯ \geq ≥ \Leftrightarrow ⇔ \dots … \ll ≪ \mapsto ↦ \infty ∞ \gg ≫ \wedge ⋀ \partial 휕 \therefore ∴ \vee ⋁ \nabla ∇ \box □ \in ∈ \emptyset ∅ \exists ∃ \notelement ∉ \forall ∀ \subset ⊂ \gg ≫ \subseteq ⊆ \ll ≪ \superset ⊃ \superseteq ⊇ Greek/Script/Blackboard Bold For most Greek letters, type \letter. For instance, \gamma=훾 and \Gamma=Γ. • Notice that capitalization does make a difference! • Note that there are some differences if you add the word ‘var’ before the Greek letter \varepsilon = 휀 but \epsilon = 휖 \varrho = 휚 but \rho = 휌 \varphi = 휑 but \phi = 휙 \varsigma = but \sigma = \varpi = 휛 but \pi = 휋 \vartheta = 휗 but \theta = 휃 For the first four Hebrew letters, type \letter. This only works with \aleph, \beth, \daleth, and \gimel. For script letters, type \script followed by the letter. For instance, \scriptp=퓅 and \scriptP=풫. For blackboard bold, type \double followed by the letter. For instance \doubleR=ℝ and \doubleN=ℕ Subscripts & Superscripts For superscripts, use the ^ symbol. For subscripts use the _ symbol. Note that this can be combined. 2 2 x^2 푥 x_0 푥0 x_0^2 푥0 Brackets Some brackets, ({, }, (, ), [, ]), can be typed simply by finding their key on your keyboard. However, for vectors that use angle brackets, there is no key. You have to use a shortcut. \langle 〈 \rangle 〉 \langle 3,2 \rangle 〈3,2〉 Also, if you need to use the ‘norm’ symbol, don’t just type two pipe ( | ) keys. Using the pipe key: ||푥|| Using the norm symbol: \norm x \norm ‖푥‖ Overbrace and Underbrace 푝 y\rightarrow\above p x 푦 → 푥 \underbrace(x+(-x))\below(=0) ⏟푥 + (− 푥 ) y\rightarrow\below p x 푦 → 푥 =0 푝 =0 \overbrace(x+(-x))\above(=0) 푥⏞ + (− 푥 ) Stacking Sometimes, it’s useful to stack pieces. This provides a useful way to do piece-wise functions without using the menu system. Also, notice the \close is used to close the open brace. 푎 1 푖푓 푥>0 a\atop b 푏 f(x)={(1 if x>0)\atop (0 if x<0) \close 푓(푥) = {0 푖푓 푥<0 Formatting Accents can be added by following typing \accentname and pressing space twice. For instance: \bar ̅ \dot ̇ \tilde ̃ \Bar ̿ \ddot ̈ \sqrt √ 3 \tvec ⃡ \hat ̂ \cbrt √ 4 \vec \overbrace ⏞ \qdrt √ 푛 \hvec \underbrace ⏟ \sqrt(n&x) √푥 Often it is better to do accents after you have typed what you want to accent. To do this, type what you want to accent, then immediately type the accent you want. You will still have to press space twice. For instance: \beta\bar 훽̅ (BC)\tvec (⃡ 퐵퐶 ) (AB)\bar 퐴퐵̅̅̅̅ Large Operators For large operators, you should also press space twice after you have typed the operator. \sum ∑ \int ∫ \coint ∲ \prod ∏ \iint ∬ \oint ∮ \bigcup ⋃ \iiint ∭ \oiint ∯ \bigcap ⋂ For the large operators, note that you can include subscripts and superscripts using the underscore and the carrot. For instance: 푏 푛 \sum_a^b ∑푎 \prod_(i=1)^n ∏(푖=1) Note the difference between typing inline with other non-math text (above) and putting an equation on a line by itself (below). 푏 푛 ∑ ∏ 푎 푖=1 Matrices Matrices can be done with the keyboard, but it is a pain. See my example below. Note that ‘&’ will separate entries in a row, while ‘@’ will separate rows. If you want to leave an entry blank, just put a space where you want it as in my second example. Also note that if you need to the dots, you will have to use the menu system. 1 2 3 1 [\matrix(1&2&3@4&5&6@7&8&9)] [4 5 6] [\matrix(1& @ &1)] [ ] 1 7 8 9 .