DiracDelta[x] represents the Dirac delta function \[Delta](x). DiracDelta[x_1, x_2, ...] represents the multidimensional Dirac delta function \[Delta](x_1, x_2, ...).

In many practical situations it is convenient to consider limits in which a fixed amount of something is concentrated into an infinitesimal region. Ordinary mathematical ...

HeavisideLambda[x] represents the triangle distribution \[CapitalLambda](x) which is nonzero for |x| < 1.HeavisideLambda[x_1, x_2, ...] represents the multidimensional ...

Mathematica makes it easy to take even the most complicated derivatives involving any of its huge range of differentiable special functions.

HeavisidePi[x] represents the box distribution \[CapitalPi](x), equal to 1 for |x| < 1/2 and 0 for |x| > 1/2.HeavisidePi[x_1, x_2, ...] represents the multidimensional box ...

Mathematica's symbolic character allows it to handle generalized functions or "distributions" as a direct extension of classical mathematical functions, and to represent ...

DiracComb[x] represents the Dirac comb function giving a delta function at every integer point. DiracComb[x_1, x_2, ...] represents the multidimensional Dirac comb function.

Mathematica applies its strengths in calculus to the intricacies of integral transforms, with a host of original algorithms that probably now reach almost any closed form ...

PrincipalValue is an option for Integrate that specifies whether the Cauchy principal value should be found for a definite integral.

Unitize[x] gives 0 when x is zero, and 1 when x has any other numerical value.