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\sin x=\frac{2t}{1 t^2}\ ,\ \ \cos x=\frac{1-t^2}{1 t^2}\ ,\ \ \frac{dx}{dt}=\frac{2}{1 t^2}
a_{i,j}=\frac{(i!)^j}{(ij)!}\ ,\ \ b_j=\lim_{i \to \infty}\frac{a_{i 1,j}}{a_{i,j}}
{\lambda \mu \choose n} = \sum_{i=0}^{n} {\lambda \choose i}{\mu \choose n-i}
Df(x)=\lim_{h\to 0}\frac{f(x h)-f(x)}{h}\ ,\ \ \Delta f(x)=f(x 1)-f(x)
y=e^{-\int\! P(x)dx}\left( \int Q(x)e^{\int\! P(x)dx}\ dx C \right)