Put thoughts and knowledge here, Jimbo.
Accents and diacritics:
a
~
,
a
¨
,
a
→
,
a
˘
,
a
´
{\displaystyle {\tilde {a}},{\ddot {a}},{\vec {a}},{\breve {a}},{\acute {a}}}
Symbols and constants:
∞
,
ℜ
,
Ⓢ
,
(
m
o
r
e
)
{\displaystyle \infty ,\Re ,\circledS ,(more)}
Sets:
⋂
x
y
⋃
{
}
∈
∅
{\displaystyle \bigcap _{x}^{y}\bigcup \{\}\in \varnothing }
Basic Operators:
+
,
−
,
×
,
÷
,
/
,
⋅
{\displaystyle +,-,\times ,\div ,/,\cdot }
Advanced Operators:
±
,
∓
,
∔
,
⋇
,
∖
,
∘
,
∙
,
⊞
,
⊟
,
⊠
,
⊡
,
⊕
,
⊖
,
⊘
,
⊙
,
⊝
,
⊚
,
⊛
⨁
x
y
,
⨂
,
⨀
{\displaystyle \pm ,\mp ,\dotplus ,\divideontimes ,\backslash ,\circ ,\bullet ,\boxplus ,\boxminus ,\boxtimes ,\boxdot ,\oplus ,\ominus ,\oslash ,\odot ,\circleddash ,\circledcirc ,\circledast \bigoplus _{x}^{y},\bigotimes ,\bigodot }
⨁
{\displaystyle \bigoplus }
⨂
{\displaystyle \bigotimes }
⨀
{\displaystyle \bigodot }
(
mod
m
)
,
a
mod
b
,
gcd
(
m
,
n
)
,
lcm
(
m
,
n
)
,
∣
,
∤
,
∣
,
∤
{\displaystyle {\pmod {m}},a{\bmod {b}},\gcd(m,n),\operatorname {lcm} (m,n),\mid ,\nmid ,\shortmid ,\nshortmid }
Terms:
b
a
s
e
e
x
p
o
n
e
n
t
=
p
o
w
e
r
{\displaystyle base^{exponent}=power}
The terms base may also be called radix or root .
So, 100 is a power of base 10 since
10
2
=
100
{\displaystyle 10^{2}=100}
Exponential notation:
x
2
3
a
2
a
2
+
2
x
2
3
x
2
3
10
10
8
f
′
f
″
{\displaystyle {x_{2}}^{3}a^{2}a^{2+2}{x_{2}}^{3}x_{2}^{3}10^{10^{8}}f'f''}
Radicals:
√
,
2
,
2
n
{\displaystyle \surd ,{\sqrt {2}},{\sqrt[{n}]{2}}}
Standard Functions using general syntax:
exp
a
,
log
10
,
sin
,
max
(
x
,
y
)
{\displaystyle \exp _{a},\log _{10},\sin ,\max(x,y)}
Differential and Integrals:
∑
k
=
1
N
∏
1
2
∏
3
4
a
b
∫
lim
n
→
∞
lim
n
→
∞
∫
1
3
x
∭
x
y
z
∮
x
⋃
i
=
1
n
d
y
/
d
x
d
y
d
x
∂
2
∂
x
1
∂
x
2
y
f
(
3
)
y
¨
{\displaystyle \sum _{k=1}^{N}\sideset {_{1}^{2}}{_{3}^{4}}\prod _{a}^{b}\int _{}^{}\lim _{n\to \infty }\textstyle \lim _{n\to \infty }\displaystyle \int _{1}^{3}x\iiint xyz\oint x\bigcup _{i=1}^{n}dy/dx{dy \over dx}{\partial ^{2} \over \partial x_{1}\partial x_{2}}yf^{(3)}{\ddot {y}}}
Relations:
≡=≠≢≐≑
=
d
e
f
∽>≥⪋⪺
{\displaystyle \equiv =\neq \not \equiv \doteq \doteqdot {\overset {\underset {\mathrm {def} }{}}{=}}\backsim >\geq \lesseqqgtr \succnapprox }
A
α
B
β
Γ
γ
Δ
δ
E
ϵ
Z
ζ
H
η
Θ
θ
I
ι
K
κ
Λ
λ
M
μ
N
ν
Ξ
ξ
Π
π
P
ρ
Σ
σ
T
τ
Υ
υ
Φ
ϕ
X
χ
Ψ
ψ
Ω
ω
ε
ϖ
ϱ
ϑ
φ
{\displaystyle \mathrm {A} \alpha \mathrm {B} \beta \Gamma \gamma \Delta \delta \mathrm {E} \epsilon \mathrm {Z} \zeta \mathrm {H} \eta \Theta \theta \mathrm {I} \iota \mathrm {K} \kappa \Lambda \lambda \mathrm {M} \mu \mathrm {N} \nu \Xi \xi \Pi \pi \mathrm {P} \rho \Sigma \sigma \mathrm {T} \tau \Upsilon \upsilon \Phi \phi \mathrm {X} \chi \Psi \psi \Omega \omega \varepsilon \varpi \varrho \vartheta \varphi }
Sb
2
O
3
{\displaystyle {\ce {Sb2O3}}}
CO
2
+
C
⟶
2
CO
{\displaystyle {\ce {CO2 + C -> 2 CO}}}
CrO
4
2
−
{\displaystyle {\ce {CrO4^2-}}}
(
1
2
)
H
2
O
,
nH
2
O
{\displaystyle {\ce {(1/2)H2O, nH2O}}}
Th
+
90
227
,
Th
+
90
227
,
n
−
−
1
0
{\displaystyle {\ce {^{227}_{90}Th+, ^227_90Th+, ^{0}_{-1}n^{-}}}}
H
2
(
aq
)
,
CO
3
2
−
,
(
aq
)
NaOH
(
aq
,
∞
)
{\displaystyle {\ce {H2(aq),CO3^{2}-{}_{(aq)},NaOH(aq,\infty )}}}
Fe
II
Fe
204
III
{\displaystyle {\ce {Fe^{II}Fe^{III}204}}}
KCr
(
SO
4
)
2
⋅
12
H
2
O
{\displaystyle {\ce {KCr(SO4)2*12H2O}}}
![{\displaystyle \surd ,{\sqrt {2}},{\sqrt[{n}]{2}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/08f3caadc996f05290598fde8f4455b3d40e54e3)
