hackerpass/fonts/texgyrebonum-math-1005/doc/math-test-context.tex

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2016-03-15 22:51:09 +00:00
\startformula
\widehat{bcd} \ \widetilde{efg} \ \dot A \ \dot R \ {\bi\dot A \check t}
\ \check{\cal A} \check{\cal a} \ \mathbf{\acute \imath}
\stopformula
%Angle brackets:
\startformula
\langle a \rangle \left\langle \frac{a}{b} \right\rangle
\left\langle \frac{\frac{a}{b}}{c} \right\rangle
\stopformula
%Big operators:
\startformula
(x + a)^n = \sum_{k=0}^n {n \choose k} x^k a^{n-k}
\stopformula
%%Horizontal brackets:
\startformula
\underbrace{\overbracket{aaaaaaa}}_{\rm Siedém}
\underbrace{\overparent{aaaaa}}_{\rm pięć}
\stopformula
%Squares:
\startformula
\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{2}}}}}} =
\frac{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{2}}}}}}}}}{\frac{2}{3}}
\stopformula
%Cardinal numbers
\startformula
\aleph_{0}<2^{\aleph_0}<2^{2^{\aleph_0}}
\stopformula
%Powers
\startformula
x^{\alpha} e^{\beta x^{\gamma} e^{\delta x^{\epsilon}}}
\stopformula
%Integrals
\startformula
\oint_C\mathbf{F}\cdot d\mathbf{r}=\int_S\mathbf{\nabla}\times\mathbf{F}\cdot d\mathbf{S}\qquad
\oint_C\vec{A}\cdot\vec{dr}=\iint_S(\nabla\times\vec{A})\,\vec{dS}
\stopformula
%Sum
\startformula
(1+x)^n=1+\frac{nx}{1!}+\frac{n(n-1)x^2}{2!}+\cdots
\stopformula
%Equations
\startformula
\startmathalignment
\int_{-\infty}^\infty e^{-x^2}dx \NC =\NC \left[\int_{-\infty}^\infty e^{-x^2}dx
\int_{-\infty}^\infty e^{-y^2}dy\right]^{1/2} \NR
\NC =\NC \left[\int_{0}^{2\pi} \int_0^\infty e^{-r^2}r\,dr\,d\theta\right]^{1/2}\NR
\NC =\NC \left[\pi\int_{0}^\infty e^{-u}du\right]^{1/2}\NR
\NC =\NC \sqrt{\pi}
\stopmathalignment
\stopformula
\endinput