Quick Reference For Math In Microsoft Office
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2Quick Reference for Math in Microsoft Office
��
+ ��
+ ��
Examples
a^i+b_(j+1)+c_l^h
ℎ
��
��+1
��
��, R, ℛ, ℝ, ℜ, ��
R
(note the space)
Alt =
Alt =
��, ��, ��, ℓ, ��, ��, ��, ��
R,
"R",
\scriptR,
\doubleR,
\frakturR,
Ctl b
Ctl b
∅, ∞, Ⅎ
i, \iota,
l, \ell,
\epsilon, \varepsilon,
\phi, \varphi
����⃗
�� ⃗, �� ⃑, �� �, �� �, �� �, ����
\emptyset,
\infty,
2132
(hex Unicode)
Alt x
��́ , ��̀ , �� �, ��̑
a\vec,
a\hvec,
a\hat,
a\check,
a\tilde,
(ab)\vec
��
, ��
, ��″
��’ (same as a\prime),
′
′′
a\acute,
a\grave,
a\breve,
0311
a
Alt x
Left
��̇ , ��̈ , ��̊ , ��
, ��
∘
o
a’’,
a\pprime
�� ̅ , ��, ���� ����
����
a\dot,
a\ddot,
030a
a,
a\above\circ,
a\above "o"
Alt x
Left
�� � , ��, ����, ����
����
f\bar,
\overbar f,
\overbar(fg),
(fg)\bar
�� , ��
f\ubar,
\underbar f,
(fg)\ubar
\underbar(fg),
▭
| �� | , ‖ �� ‖ , ⌊��⌋, ⌈ �� ⌉
\rect a,
a_"\rect" (also a_\\rect)
√ ��, √ ��
, √ ��
, √ ��
|a|,
\norm a\norm,
\lfloor a\rfloor,
\lceil a\rceil
3
4
��
�� ⋅ ��, �� × ��, ⟨ ��, �� ⟩
\sqrt a,
\cbrt a,
\qdrt a,
\sqrt(n&a) (or \root n\of a)
�� ∗ ��, �� ⋆ ��, �� ⊕ ��, �� ⊗ ��
a\cdot b,
a\times b,
\bra a,b\ket
�� ∨ ��, �� ∧ ��, ¬��, ^��, ~��
a*b,
a\star b,
a\oplus b,
a\otimes b
�� ≤ ��, �� ≠ ��, �� ≅ ��, �� ≈ ��
a\vee b,
a\wedge b,
\neg a,
^a,
~a
�� ∼ ��, �� ∝ ��, �� ∉ ��, �� ⊈ ��
a<=b,
a/=b,
a~=b,
a\approx b
�� ∪ ��, �� ∩ ��, �� ∖ ��, �� ⊔ ��
a\sim b,
a\propto b,
a/\in B,
A/\subseteq B
�� ∶ �� → ��, �� ↦ ��, �� ⟺ ��
A\cup B,
A\cap B,
A\setminus B,
A\sqcup B
�� + 1, �� − 1, ��+1, ��–1
f :a->b (or \to, \rightarrow),
a\mapsto b,
a\Longleftrightarrow b
�� × ��, ��×��, �� = 1, ��=1
L+1,
L-1,
L"+"1, L"2013
"1 (en-dash)
Alt x
1 … ��, �� ⋯ ��, ⋮, ⋱
m\times n,
m"\times"n,
d=1,
d"="1
0
1 2
�
�, �
�, �
�
1...n (or \ldots),
a\cdots b,
\vdots,
\ddots
0
1
3 4
1
(\matrix(0@1)),
(0\atop 1),
�� �� , �� ��, �� ��
\pmatrix(1&2@3&4)
)
∑ ��
, ∏
, ∫ �� ( �� ) ����
��
Z\hairsp p (1/18em),
Z\thinsp p (3/18),
Z\nbsp p (or
1
Ctl Shft SP
��
��
��
��
��=1
0
∭ ��
, ∲
\sum_i a_i,
\prod_(i=1)^n a_i,
\int_0^1 f(x)\dd x
��
��Σ
, ��/��, �� ∕ ��, �� �� � , �� ÷ ��,
\iiint_V f,
(zero-width arg)
��
\coint_(\partial\Sigma) \zwsp
��
��
��
arg max
��
a/b,
a\/b,
a\ldiv b,
a\sdiv b,
a\div b,
ribbon UI fraction
��,��
��,��
��
"arg max" \below(\phi,T) \funcapply f_(\phi,T)
�� = �
�� if ��
��
f={\eqarray(a@ b"
if
"y)\close
or
f=\cases(a@ b"
if
"y)
��
�� = �
�� if ��
�� if ��
�� + �� if �� < 5
f={\matrix( a@ b"
if
"y)\close
"Column Alignment" → Left on
�� = �
��
otherwise.
��
f={\matrix(a+b&" if "a<5@c&"otherwise.")\close
��
ℎ
> 0 } , � �� ∣ ∣ ��
{ �� ∣ ∣ ��
> 0 �
\smash(f^g^h)
(reduce vertical space)
��
��
U I, ��⊗ ⊕ ��
{x\mid f_x>0},
{x\mid f_x>0\vphantom A^A^A
}
(taller)
�� �
��� [ �� +
�� (
Δ )] �
First apply red text color to �� ( Δ ) , then apply black text color to Δ.
\hsmash U "\thinsp I",
a\hsmash"\otimes"
"\oplus" b
′
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