User:Monguin61

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1 me
2 work on wikipedia
3 reference pages
4 pow stuff
5 testing
6 hierarchies
- 6.1 subsection
  - 6.1.1 hyposubsection

chris: this thing

∯

[edit] me

I am a student of electrical engineering with a strong interest in most branches of mathematics and hard science.

[edit] work on wikipedia

I would like to create graphics for needy mathematics pages, and I am currently in the process of determining what kinds of copyrights are associated with images generated with Mathematica and Matlab. If you can provide me with answers about that, I'd appreciate it. Also, If you can find any page that might benefit from a mathematical graphic, and doesnt have one, please feel free to leave me a message saying so.

[edit] reference pages

editing math formulas
adding images
mathml chars
math toys
watchlist
Benford's Law

[edit] pow stuff

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

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

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

[edit] testing

$\mathbb{PNZQARCHO}\$

∫∬∭∮∯∰∱∲∳∴∵∶∷

$\sum_{x=0}^{100} f(x)$ ... $\frac{df(t)}{dx}$ ... $x^{2_3}$ ... $\oint T_i(n)a\, dn$ ... $\int T_i(n)a\, dn\,$ ...∫₀f(x) dx... $\sum_{t=i} N(a)\,$ ... $a x 2 + b x + c = 0$ ... $ax^2 + bx + c = 0\,$

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

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