63 lines
No EOL
1.7 KiB
TeX
63 lines
No EOL
1.7 KiB
TeX
\pagestyle{empty}
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%Accents:
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\begin{displaymath}
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\widehat{bcd} \ \widetilde{efg} \ \dot A \ \dot R \ \mathbf{\dot A \check t}
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\ \check{\mathcal{A}} \check{\mathcal{a}} \ \mathbf{\acute \imath}
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\end{displaymath}
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%Angle brackets:
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\begin{displaymath}
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\langle a \rangle \left\langle \frac{a}{b} \right\rangle
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\left\langle \frac{\frac{a}{b}}{c} \right\rangle
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\end{displaymath}
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%Big operators:
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\begin{displaymath}
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(x + a)^n = \sum_{k=0}^n {n \choose k} x^k a^{n-k}
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\end{displaymath}
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%%Horizontal brackets:
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\begin{displaymath}
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\underbrace{\overbracket{aaaaaaa}}_\textrm{Siédém}
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\underbrace{\overparen{aaaaa}}_\textrm{pięć}
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\end{displaymath}
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%Squares:
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\begin{displaymath}
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\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{2}}}}}} =
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\frac{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{2}}}}}}}}}{\frac{2}{3}}
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\end{displaymath}
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%Cardinal numbers
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\begin{displaymath}
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\aleph_{0}<2^{\aleph_0}<2^{2^{\aleph_0}}
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\end{displaymath}
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%Powers
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\begin{displaymath}
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x^{\alpha} e^{\beta x^{\gamma} e^{\delta x^{\epsilon}}}
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\end{displaymath}
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%Integrals
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\begin{displaymath}
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\oint_C\mathbf{F}\cdot d\mathbf{r}=\int_S\mathbf{\nabla}\times\mathbf{F}\cdot d\mathbf{S}\qquad
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\oint_C\vec{A}\cdot\vec{dr}=\iint_S(\nabla\times\vec{A})\,\vec{dS}
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\end{displaymath}
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%Sum
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\begin{displaymath}
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(1+x)^n=1+\frac{nx}{1!}+\frac{n(n-1)x^2}{2!}+\cdots
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\end{displaymath}
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%Equations
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\setlength\arraycolsep{0.15em}
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\begin{eqnarray*}
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\int_{-\infty}^\infty e^{-x^2}dx &=& \left[\int_{-\infty}^\infty e^{-x^2}dx
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\int_{-\infty}^\infty e^{-y^2}dy\right]^{1/2}\\
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&=& \left[\int_{0}^{2\pi} \int_0^\infty e^{-r^2}r\,dr\,d\theta\right]^{1/2}\\
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&=& \left[\pi\int_{0}^\infty e^{-u}du\right]^{1/2}\\
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&=& \sqrt{\pi}
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\end{eqnarray*}
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\endinput |