Mathematics and Algorithms How to Topics (Mathematica Overview)

Do Basic Calculations Do Constrained Nonlinear Optimization Control the Precision and Accuracy of Numerical Results

DifferentialRootReduce (Built-in Mathematica Symbol)

DifferentialRootReduce[expr, x] attempts to reduce expr to a single DifferentialRoot object as a function of x.DifferentialRootReduce[expr, {x, x_0}] takes the initial ...

InverseLaplaceTransform (Built-in Mathematica Symbol)

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

Use Rule Solutions (Mathematica How To)

Since many functions in Mathematica give solutions in the form of rules, you need to be able to use these rules to explore and interpret your results. Although many of the ...

AiryAiPrime (Built-in Mathematica Symbol)

AiryAiPrime[z] gives the derivative of the Airy function Ai^\[Prime] (z).

LaplaceTransform (Built-in Mathematica Symbol)

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 ...

DiracDelta (Built-in Mathematica Symbol)

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, ...).

HeavisideTheta (Built-in Mathematica Symbol)

HeavisideTheta[x] represents the Heaviside theta function \[Theta](x), equal to 0 for x < 0 and 1 for x > 0. HeavisideTheta[x_1, x_2, ...] represents the multidimensional ...

MathieuCharacteristicExponent (Built-in Mathematica Symbol)

MathieuCharacteristicExponent[a, q] gives the characteristic exponent r for Mathieu functions with characteristic value a and parameter q.

SphericalBesselJ (Built-in Mathematica Symbol)

SphericalBesselJ[n, z] gives the spherical Bessel function of the first kind j_n (z).