Quick Reference for Math in Microsoft Office
Examples
𝑎𝑖 + 𝑏𝑗+1 + 𝑐𝑙ℎ
Alt = a^i+b_(j+1)+c_l^h Alt =
𝑅, R, ℛ, ℝ, ℜ, 𝑹
R,
𝑖, 𝜄, 𝑙, ℓ, 𝜖, 𝜀, 𝜙, 𝜑
i, \iota,
"R",
∅, ∞, Ⅎ
𝑎⃗, 𝑎⃑, 𝑎̂,
𝑎̌, 𝑎̃, ⃗⃗⃗⃗⃗
𝑎𝑏
l, \ell,
a\vec,
a\acute,
𝑎 , 𝑎 , 𝑎″
a\dot,
𝑎̇ , 𝑎̈ , 𝑎̊ , 𝑎, 𝑎
f\ubar,
𝑎 , 𝑎▭
|𝑎|, ‖𝑎‖, ⌊𝑎⌋, ⌈𝑎⌉
|a|,
𝑛
√𝑎, √𝑎, √𝑎, √𝑎
𝑎 ⋅ 𝑏, 𝑎 × 𝑏, ⟨𝑎, 𝑏⟩
𝑎 ∨ 𝑏, 𝑎 ∧ 𝑏, ¬𝑎, ^𝑎, ~𝑎
a\vee b,
\qdrt a,
a\sim b,
a/=b,
L+1,
𝑏
, 𝑎/𝑏, 𝑎 ∕ 𝑏, 𝑎⁄𝑏 , 𝑎 ÷ 𝑏,
arg max 𝑓𝜙,𝑇
𝜙,𝑇
𝑎
𝑓 = { 𝑏 if 𝑦
𝑎
𝑓 = { 𝑏 if 𝑦
𝑎 + 𝑏 if 𝑎 < 5
𝑓={
𝑐
otherwise.
ℎ
𝑓𝑔
{ 𝑥 ∣ 𝑓𝑥 > 0 }, { 𝑥 ∣∣ 𝑓𝑥 > 0 }
I, 𝑎⊗
U
⊕𝑏
̃′
𝐸 [𝑆[𝑝 + 𝜑(Δ)]]
L-1,
(\matrix(0@1)),
\iiint_V f,
𝑎
𝑏
a/b,
a\/b,
a\approx b
A/\subseteq B
a\mapsto b,
m"\times"n,
1...n (or \ldots),
Z\hairsp p (1/18em),
~a
A\sqcup B
a\Longleftrightarrow b
L"+"1, L"2013 Alt x "1 (en-dash)
m\times n,
∭𝑉 𝑓, ∲𝜕Σ
𝑎
a~=b,
A\setminus B,
𝐿 + 1, 𝐿 − 1, 𝐿+1, 𝐿–1
\lceil a\rceil
^a,
A\cap B,
f :a->b (or \to, \rightarrow),
\sum_i a_i,
\neg a,
a/\in B,
𝑓 ∶ 𝑎 → 𝑏, 𝑎 ↦ 𝑏, 𝑎 ⟺ 𝑏
1
∫0 𝑓(𝑥) 𝑑𝑥
(fg)\ubar
a\otimes b
a\propto b,
A\cup B,
𝑍 𝑝, 𝑍 𝑝, 𝑍 𝑝
(fg)\bar
\bra a,b\ket
a\oplus b,
a\wedge b,
𝐴 ∪ 𝐵, 𝐴 ∩ 𝐵, 𝐴 ∖ 𝐵, 𝐴 ⊔ 𝐵
1 … 𝑛, 𝑎 ⋯ 𝑏, ⋮, ⋱
0
1 2
( ), (01), (
)
1
3 4
a\above "o"
\sqrt(n&a) (or \root n\of a)
a\times b,
a\star b,
a<=b,
𝑚 × 𝑛, 𝑚×𝑛, 𝑑 = 1, 𝑑=1
a\above\circ,
\lfloor a\rfloor,
a\cdot b,
𝑎 ∼ 𝑏, 𝑎 ∝ 𝑏, 𝑎 ∉ 𝐵, 𝐴 ⊈ 𝐵
a\pprime
a_"\rect" (also a_\\rect)
\cbrt a,
𝑎 ≤ 𝑏, 𝑎 ≠ 𝑏, 𝑎 ≅ 𝑏, 𝑎 ≈ 𝑏
a’’,
\underbar(fg),
a*b,
(ab)\vec
0311 Alt x Left a
a\breve,
\underbar f,
\norm a\norm,
\sqrt a,
a\tilde,
\overbar(fg),
𝑎 ∗ 𝑏, 𝑎 ⋆ 𝑏, 𝑎 ⊕ 𝑏, 𝑎 ⊗ 𝑏
∑𝑖 𝑎𝑖 , ∏𝑛𝑖=1 𝑎𝑖 ,
a\check,
\overbar f,
\rect a,
\phi, \varphi
2132 Alt x (hex Unicode)
030a Alt x Left a,
f\bar,
𝑓̲, 𝑓, 𝑓𝑔, 𝑓𝑔
̲̲̲̲
4
a\hat,
a\grave,
a\ddot,
̅̅̅̅
𝑓,̅ 𝑓, 𝑓𝑔 𝑓𝑔
3
\infty,
𝑎’ (same as a\prime),
o
Ctl b R Ctl b
\frakturR,
\epsilon, \varepsilon,
a\hvec,
′′
∘
\doubleR,
\emptyset,
𝑎́ , 𝑎̀ , 𝑎̆, 𝑎̑
′
\scriptR,
(note the space)
a\cdots b,
(0\atop 1),
Z\thinsp p (3/18),
\prod_(i=1)^n a_i,
d=1,
d"="1
\vdots,
\ddots
\pmatrix(1&2@3&4)
Z\nbsp p (or Ctl Shft SP )
\int_0^1 f(x)\dd x
\coint_(\partial\Sigma) \zwsp
a\ldiv b,
a\sdiv b,
a\div b,
(zero-width arg)
ribbon UI fraction
"arg max" \below(\phi,T) \funcapply f_(\phi,T)
f={\eqarray(a@ b"
f={\matrix( a@ b"
if
if
"y)\close
"y)\close
or
f=\cases(a@ b"
if
"y)
𝑎
𝑏 if 𝑦
"Column Alignment" → Left on
f={\matrix(a+b&" if "a<5@c&"otherwise.")\close
\smash(f^g^h)
{x\mid f_x>0},
(reduce vertical space)
{x\mid f_x>0\vphantom A^A^A
\hsmash U "\thinsp I",
a\hsmash"\otimes"
}
(taller)
"\oplus" b
First apply red text color to 𝜑(Δ) , then apply black text color to Δ.
Cheat-Sheet for Math in Microsoft Word
Other built-in examples
Useful links
∞
Murray Sargent’s reference document and blog.
𝑓(𝑥) = 𝑎0 + ∑ (𝑎𝑛 cos
Equation numbering
𝑛=1
This equation is created using a table:
(1)
𝑝∈𝐵
It renumbers automatically if copied. We replace its content:
1
2 +1
𝑑𝑡 .
(2)
0
Creating a reference to “Equation (2)” involves two steps:
 Click on the “2” to the right side of the equation, and perform
Insert → Bookmark with some name such as eq_x.
 Type “Equation ” and perform Insert → Cross-reference →
BookMark → Paragraph number and select eq_x.
See also these macros for equation numbers (Office 2007/2010).
Line spacing
Within a paragraph, formulas such as f^g^h may be taller than the
ℎ
paragraph text, e.g., 𝑓 𝑔 , resulting in uneven vertical spacing.
Instead, we can ignore vertical size using \smash(f^g^h) to
ℎ
create the formula 𝑓 𝑔 which does not alter the line spacing.
An alternative used in this paragraph is to force the paragraph
line
ℎ
spacing to a specific value, here 10pt – thus we get 𝑓 𝑔 .
Display versus inline
Display mode: A paragraph containing just a math formula,
without any characters before or after the formula, is autocentered. (The period is inside the formula.)
∑ 𝑎 + 𝑏.
𝑖
Inline mode: To obtain this more compact style, append a space
after the formula (or place the period outside the formula) and set
paragraph formatting to “center”:
∑𝑖 𝑎 + 𝑏 .
To preserve display-mode, insert text inside math using doublequotes, e.g., " where " in:
∑ 𝑎 + 𝑏 where 𝑎 ≠ 𝑏.
𝑖
i.e.: Alt = \sum_i a+b Right "
where
" a/=b. Alt = .
Horizontal alignment
To align these two equations, we select each “=” and right-clickselect Align at this Character.
𝑛
𝑛
(𝑥 + 𝑎)𝑛 = ∑ ( ) 𝑥 𝑘 𝑎𝑛−𝑘
𝑘
𝑘=0
𝑛𝑥 𝑛(𝑛 − 1)𝑥 2
+
+⋯
1!
2!
Some large equations can be made to fit by using an almost
imperceptibly smaller font size (here 8.5pt instead of 9pt):
(1
+ 𝑥)𝑛
Mag 𝐸𝐻 (𝑝) = ∑
−𝑏 ± √𝑏 2 − 4𝑎𝑐
2𝑎
2
3
𝑥
𝑥
𝑥
𝑒𝑥 = 1 + + + + ⋯ ,
−∞ < 𝑥 < ∞
1! 2! 3!
𝑥=
𝑒(𝐵) = ∑‖𝐼′ [𝑝] − 𝐼[𝑝]‖2 .
𝑥 = ∫ 𝑒 −√𝑡
𝑛𝜋𝑥
𝑛𝜋𝑥
+ 𝑏𝑛 sin
)
𝐿
𝐿
=1+
Δ=𝑝−⌊𝑝⌋−𝛿, 𝛿∈{(00),(10),(01),(11)}
𝑤(Δ) 𝐸𝐻 [𝑆[𝑝 − Δ] + Δ] .
Hugues Hoppe (Microsoft Research) 2014-08-27