Boole[expr] yields 1 if expr is True and 0 if it is False.

Unicode: 2232. Alias: Esc ccint Esc. Compound operator. ∲ f x is by default interpreted as ClockwiseContourIntegral[f,x].

With careful standardization of argument conventions, Mathematica provides full coverage of elliptic integrals, with arbitrary-precision numerical evaluation for complex ...

One-dimensional Laplace transforms. The Laplace transform of a function f(t) is given by ∫_0^∞f(t)e^-stt. The inverse Laplace transform of F(s) is given for suitable γ by ( ...

InverseFourierTransform[expr, \[Omega], t] gives the symbolic inverse Fourier transform of expr. InverseFourierTransform[expr, {\[Omega]_1, \[Omega]_2, \ ...}, {t_1, t_2, ...

NumberFieldIntegralBasis[a] gives an integral basis for the field \[DoubleStruckCapitalQ][a] generated by the algebraic number a.

LaplaceTransform[expr, t, s] gives the Laplace transform of expr. LaplaceTransform[expr, {t_1, t_2, ...}, {s_1, s_2, ...}] gives the multidimensional Laplace transform of ...

FourierTransform[expr, t, \[Omega]] gives the symbolic Fourier transform of expr. FourierTransform[expr, {t_1, t_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives the ...

This does an integral over the interior of the unit circle. Here is an equivalent form. Even though an integral may be straightforward over a simple rectangular region, it ...

Even more so than for other special functions, you need to be very careful about the arguments you give to elliptic integrals and elliptic functions. There are several ...