ds
146.6.203.178 (talk ) 12:59, 31 March 2009 (UTC)
chris: this thing
∯
integral limit tests [ edit ]
j
^
∂
β
Ω
χ
{\displaystyle {\hat {j}}\partial \beta \Omega \chi }
j
^
∂
β
θ
χ
{\displaystyle {\hat {j}}\partial \beta \theta \chi }
∫
a
b
f
(
x
)
d
x
=
F
(
x
)
|
x
=
a
x
=
b
{\displaystyle \int _{a}^{b}f(x)dx=F(x)|_{x=a}^{x=b}}
∫
a
b
f
(
x
)
d
x
=
F
(
x
)
|
x
=
a
x
=
b
{\displaystyle \int _{a}^{b}f(x)dx=F(x)|_{x=a}^{x=b}}
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "http://localhost:6011/en.wikipedia.org/v1/":): {\displaystyle \cursive{EBHM}}
images interfering with code [ edit ]
image overlap test
int main ()
int main ()
int main ()
int main ()
int main ()
int main ()
int main ()
int main ()
int main ()
int main ()
int main ()
int main ()
int main ()
int main ()
editing math formulas
adding images
mathml chars
math toys
watchlist
Benford's Law
ϕ
(
t
)
=
∠
x
a
(
t
)
{\displaystyle \phi (t)=\angle {x_{a}(t)}}
I
R
−
G
=
q
A
n
i
2
τ
0
W
(
e
q
V
A
/
k
T
)
(
1
+
V
b
i
−
V
A
k
T
/
q
τ
n
τ
p
2
τ
0
e
q
V
A
/
2
k
T
)
{\displaystyle I_{R-G}={{qAn_{i} \over 2\tau _{0}}W}{(e^{qV_{A}/kT}) \over ({1+{{V_{bi}-V_{A}} \over {kT/q}}{{\sqrt {\tau _{n}\tau _{p}}} \over 2\tau _{0}}{e^{qV_{A}/2kT}}})}}
e
i
π
+
1
=
0
{\displaystyle e^{i\pi }+1=0\,}
S
=
∑
m
=
1
∞
∑
n
=
1
∞
m
n
2
2
n
(
n
2
m
+
m
2
n
)
{\displaystyle S=\sum _{m=1}^{\infty }{\sum _{n=1}^{\infty }{mn^{2} \over 2^{n}(n2^{m}+m2^{n})}}}
S
=
1
2
(
∑
m
=
1
∞
∑
n
=
1
∞
m
n
2
2
n
(
n
2
m
+
m
2
n
)
+
∑
m
=
1
∞
∑
n
=
1
∞
m
n
2
2
n
(
n
2
m
+
m
2
n
)
)
{\displaystyle S={1 \over 2}\left(\sum _{m=1}^{\infty }{\sum _{n=1}^{\infty }{mn^{2} \over 2^{n}(n2^{m}+m2^{n})}}+\sum _{m=1}^{\infty }{\sum _{n=1}^{\infty }{mn^{2} \over 2^{n}(n2^{m}+m2^{n})}}\right)}
S
=
1
2
(
∑
m
=
1
∞
∑
n
=
1
∞
m
2
n
2
m
(
n
2
m
+
m
2
n
)
+
∑
m
=
1
∞
∑
n
=
1
∞
m
n
2
2
n
(
n
2
m
+
m
2
n
)
)
{\displaystyle S={1 \over 2}\left(\sum _{m=1}^{\infty }{\sum _{n=1}^{\infty }{m^{2}n \over 2^{m}(n2^{m}+m2^{n})}}+\sum _{m=1}^{\infty }{\sum _{n=1}^{\infty }{mn^{2} \over 2^{n}(n2^{m}+m2^{n})}}\right)}
S
=
1
2
∑
m
=
1
∞
∑
n
=
1
∞
m
2
n
2
m
(
n
2
m
+
m
2
n
)
+
m
n
2
2
n
(
n
2
m
+
m
2
n
)
{\displaystyle S={1 \over 2}\sum _{m=1}^{\infty }{\sum _{n=1}^{\infty }{{m^{2}n \over 2^{m}(n2^{m}+m2^{n})}+{mn^{2} \over 2^{n}(n2^{m}+m2^{n})}}}}
S
=
1
2
∑
m
=
1
∞
∑
n
=
1
∞
m
2
n
2
n
+
n
2
m
2
m
2
m
2
n
(
n
2
m
+
m
2
n
)
{\displaystyle S={1 \over 2}\sum _{m=1}^{\infty }{\sum _{n=1}^{\infty }{m^{2}n2^{n}+n^{2}m2^{m} \over 2^{m}2^{n}(n2^{m}+m2^{n})}}}
S
=
1
2
∑
m
=
1
∞
∑
n
=
1
∞
m
n
2
m
2
n
=
1
2
(
∑
m
=
1
∞
m
2
m
)
2
{\displaystyle S={1 \over 2}\sum _{m=1}^{\infty }{\sum _{n=1}^{\infty }{mn \over 2^{m}2^{n}}}={1 \over 2}\left(\sum _{m=1}^{\infty }{m \over 2^{m}}\right)^{2}}
∑
m
=
1
∞
m
2
m
=
2
{\displaystyle \sum _{m=1}^{\infty }{m \over 2^{m}}=2}
S
=
2
{\displaystyle {S=2}}
y
(
t
)
=
cos
(
2
π
(
f
0
t
+
β
2
t
2
+
ϕ
0
)
)
{\displaystyle \displaystyle y(t)=\cos(2\pi (f_{0}t+{\beta \over 2}t^{2}+\phi _{0}))}
P
N
Z
Q
A
R
C
H
O
{\displaystyle \mathbb {PNZQARCHO} \ }
∑
x
=
0
100
f
(
x
)
{\displaystyle \sum _{x=0}^{100}f(x)}
...
d
f
(
t
)
d
x
{\displaystyle {\frac {df(t)}{dx}}}
...
x
2
3
{\displaystyle x^{2_{3}}}
...
∮
T
i
(
n
)
a
d
n
{\displaystyle \oint T_{i}(n)a\,dn}
...
∫
T
i
(
n
)
a
d
n
{\displaystyle \int T_{i}(n)a\,dn\,}
...
∫0 f (x ) dx ...
∑
t
=
i
N
(
a
)
{\displaystyle \sum _{t=i}N(a)\,}
...
a
x
2
+
b
x
+
c
=
0
{\displaystyle ax^{2}+bx+c=0}
...
a
x
2
+
b
x
+
c
=
0
{\displaystyle ax^{2}+bx+c=0\,}
∫
a
b
f
(
x
)
d
x
=
F
(
x
)
|
x
=
a
x
=
b
{\displaystyle \int _{a}^{b}f(x)dx=F(x)|_{x=a}^{x=b}}
bb:
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
{\displaystyle \mathbb {ABCDEFGHIJKLMNOPQRSTUVWXYZ} }
frak:
1234567890
a
b
c
d
e
f
g
h
i
j
k
l
m
n
o
p
q
r
s
t
u
v
w
x
y
z
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
{\displaystyle {\mathfrak {1234567890abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ}}}
cal:
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
{\displaystyle {\mathcal {ABCDEFGHIJKLMNOPQRSTUVWXYZ}}}
bb:
1234567890
a
b
c
d
e
f
g
h
i
j
k
l
m
n
o
p
q
r
s
t
u
v
w
x
y
z
{\displaystyle \mathbb {1234567890abcdefghijklmnopqrstuvwxyz} }
cal:
1234567890
a
b
c
d
e
f
g
h
i
j
k
l
m
n
o
p
q
r
s
t
u
v
w
x
y
z
{\displaystyle {\mathcal {1234567890abcdefghijklmnopqrstuvwxyz}}}
symb:
∫
∐
{\displaystyle \int \coprod }
∫
{\displaystyle {\begin{matrix}\int \end{matrix}}}
∐
{\displaystyle {\begin{matrix}\coprod \end{matrix}}}
cal not in symb:
45
a
p
q
s
x
{\displaystyle {\mathcal {45apqsx}}}
45
{\displaystyle {\mathcal {45}}}
, \mathcal{45} should be \bigtriangleup and \bigtriangledown
\mathcal{6} puts a slash through the next character
\mathcal{7} puts something through the next character
a
{\displaystyle {\mathcal {a}}}
, \mathcal{a} should be \dashv
\mathcal{p} puts a surd below the textline, should be \surd
\mathcal{x} = §
Latex symbols with no mirror counterparts: \Lleftarrow \multimap \rightsquigarrow
test test test
test test test
this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line
this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line this is a long line