# User:Monguin61

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## Contents

ds 146.6.203.178 (talk) 12:59, 31 March 2009 (UTC)

chris: this thing

## integral limit tests

${\displaystyle {\hat {j}}\partial \beta \Omega \chi }$ ${\displaystyle {\hat {j}}\partial \beta \theta \chi }$

${\displaystyle \int _{a}^{b}f(x)dx=F(x)|_{x=a}^{x=b}}$

${\displaystyle \int _{a}^{b}f(x)dx=F(x)|_{x=a}^{x=b}}$

$\displaystyle \cursive{EBHM}$

## images interfering with code

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()


## latex test

${\displaystyle \phi (t)=\angle {x_{a}(t)}}$

${\displaystyle I_{R-G}={{qAn_{i} \over 2\tau _{0}}W}{(e^{qV_{A}/kT}) \over ({1+{{V_{bi}-V_{A}} \over {kT/q}}{{\sqrt {\tau _{n}\tau _{p}}} \over 2\tau _{0}}{e^{qV_{A}/2kT}}})}}$

${\displaystyle e^{i\pi }+1=0\,}$
${\displaystyle S=\sum _{m=1}^{\infty }{\sum _{n=1}^{\infty }{mn^{2} \over 2^{n}(n2^{m}+m2^{n})}}}$
${\displaystyle S={1 \over 2}\left(\sum _{m=1}^{\infty }{\sum _{n=1}^{\infty }{mn^{2} \over 2^{n}(n2^{m}+m2^{n})}}+\sum _{m=1}^{\infty }{\sum _{n=1}^{\infty }{mn^{2} \over 2^{n}(n2^{m}+m2^{n})}}\right)}$
${\displaystyle S={1 \over 2}\left(\sum _{m=1}^{\infty }{\sum _{n=1}^{\infty }{m^{2}n \over 2^{m}(n2^{m}+m2^{n})}}+\sum _{m=1}^{\infty }{\sum _{n=1}^{\infty }{mn^{2} \over 2^{n}(n2^{m}+m2^{n})}}\right)}$

${\displaystyle S={1 \over 2}\sum _{m=1}^{\infty }{\sum _{n=1}^{\infty }{{m^{2}n \over 2^{m}(n2^{m}+m2^{n})}+{mn^{2} \over 2^{n}(n2^{m}+m2^{n})}}}}$
${\displaystyle S={1 \over 2}\sum _{m=1}^{\infty }{\sum _{n=1}^{\infty }{m^{2}n2^{n}+n^{2}m2^{m} \over 2^{m}2^{n}(n2^{m}+m2^{n})}}}$
${\displaystyle S={1 \over 2}\sum _{m=1}^{\infty }{\sum _{n=1}^{\infty }{mn \over 2^{m}2^{n}}}={1 \over 2}\left(\sum _{m=1}^{\infty }{m \over 2^{m}}\right)^{2}}$
${\displaystyle \sum _{m=1}^{\infty }{m \over 2^{m}}=2}$
${\displaystyle {S=2}}$

${\displaystyle \displaystyle y(t)=\cos(2\pi (f_{0}t+{\beta \over 2}t^{2}+\phi _{0}))}$

${\displaystyle \mathbb {PNZQARCHO} \ }$

∫∬∭∮∯∰∱∲∳∴∵∶∷

${\displaystyle \sum _{x=0}^{100}f(x)}$...
${\displaystyle {\frac {df(t)}{dx}}}$...
${\displaystyle x^{2_{3}}}$...
${\displaystyle \oint T_{i}(n)a\,dn}$...
${\displaystyle \int T_{i}(n)a\,dn\,}$...
0f(xdx...
${\displaystyle \sum _{t=i}N(a)\,}$...
${\displaystyle ax^{2}+bx+c=0}$...
${\displaystyle ax^{2}+bx+c=0\,}$
${\displaystyle \int _{a}^{b}f(x)dx=F(x)|_{x=a}^{x=b}}$

bb: ${\displaystyle \mathbb {ABCDEFGHIJKLMNOPQRSTUVWXYZ} }$
frak: ${\displaystyle {\mathfrak {1234567890abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ}}}$
cal: ${\displaystyle {\mathcal {ABCDEFGHIJKLMNOPQRSTUVWXYZ}}}$
bb: ${\displaystyle \mathbb {1234567890abcdefghijklmnopqrstuvwxyz} }$
cal: ${\displaystyle {\mathcal {1234567890abcdefghijklmnopqrstuvwxyz}}}$
symb: ${\displaystyle \int \coprod }$${\displaystyle {\begin{matrix}\int \end{matrix}}}$${\displaystyle {\begin{matrix}\coprod \end{matrix}}}$
cal not in symb: ${\displaystyle {\mathcal {45apqsx}}}$

${\displaystyle {\mathcal {45}}}$, \mathcal{45} should be \bigtriangleup and \bigtriangledown
\mathcal{6} puts a slash through the next character
\mathcal{7} puts something through the next character
${\displaystyle {\mathcal {a}}}$, \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

## hierarchies

### subsection

test test test

#### hyposubsection

test test test

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