Integral Transforms and Related ... (Mathematica Tutorial)

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 ( ...

ArithmeticGeometricMean (Built-in Mathematica Symbol)

ArithmeticGeometricMean[a, b] gives the arithmetic-geometric mean of a and b.

BooleanMinterms (Built-in Mathematica Symbol)

BooleanMinterms[k, n] represents the k\[Null]\[Null]^th minterm in n variables.BooleanMinterms[{k_1, k_2, ...}, n] represents the disjunction of the minterms ...

TracePrint (Built-in Mathematica Symbol)

TracePrint[expr] prints all expressions used in the evaluation of expr. TracePrint[expr, form] includes only those expressions which match form. TracePrint[expr, s] includes ...

PowersRepresentations (Built-in Mathematica Symbol)

PowersRepresentations[n, k, p] gives the distinct representations of the integer n as a sum of k non-negative p\[Null]^th integer powers.

Zeta (Built-in Mathematica Symbol)

Zeta[s] gives the Riemann zeta function \[Zeta](s). Zeta[s, a] gives the generalized Riemann zeta function \[Zeta](s, a).

ListStreamDensityPlot (Built-in Mathematica Symbol)

ListStreamDensityPlot[array] generates a stream density plot from a 2D array of vector and scalar field values {{vx_ij, vy_ij}, s_ij}. ListStreamDensityPlot[{{{x_1, y_1}, ...

Gamma (Built-in Mathematica Symbol)

Gamma[z] is the Euler gamma function \[CapitalGamma](z). Gamma[a, z] is the incomplete gamma function \[CapitalGamma](a, z). Gamma[a, z_0, z_1] is the generalized incomplete ...

OptionsPattern (Built-in Mathematica Symbol)

OptionsPattern[] is a pattern object that represents a collection of options given as rules, where the values of the options can be accessed using OptionValue. ...

ArcTan (Built-in Mathematica Symbol)

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.