It is always a good idea to give variables and functions names that are as explicit as possible. Sometimes, however, such names may get inconveniently long. In Mathematica, ...

Mathematica can represent not only data and programs, but also the execution history of programs, as symbolic expressions—which can be displayed, manipulated, and analyzed ...

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

SiegelTheta[\[CapitalOmega], s] gives the Siegel theta function \[CapitalTheta] (\[CapitalOmega], s) with Riemann modular matrix \[CapitalOmega] and vector ...

ArcTan[z] gives the arc tangent tan -1 (z) of the complex number z. ArcTan[x, y] gives the arc tangent of y/x, taking into account which quadrant the point (x, y) is in.

ExpandDenominator[expr] expands out products and powers that appear as denominators in expr.

UnitTriangle[x] represents the unit triangle function on the interval |x| <= 1 .UnitTriangle[x_1, x_2, ...] represents the multidimensional unit triangle function on the ...

Mathematica symbols are the ultimate atoms of symbolic data. Every symbol has a unique name, exists in a certain Mathematica context or namespace, and can have a variety of ...

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

Mathematica immediately allows you to call both standalone programs and individual functions or methods within running programs. Mathematica's architecture allows external ...