Equations with Non-Rational Coefficients (Mathematica Tutorial)

The ODEs that arise in practical applications often have non-rational coefficients. In such cases, DSolve attempts to convert the equation into one with rational coefficients ...

FrechetDistribution (Built-in Mathematica Symbol)

FrechetDistribution[\[Alpha], \[Beta]] represents the Frechet distribution with shape parameter \[Alpha] and scale parameter \[Beta].FrechetDistribution[\[Alpha], \[Beta], ...

ProductLog (Built-in Mathematica Symbol)

ProductLog[z] gives the principal solution for w in z == w e^w. ProductLog[k, z] gives the k\[Null]^th solution.

Number Theory (Mathematica Guide)

Packing a large number of sophisticated algorithms—many recent and original—into a powerful collection of functions, Mathematica draws on almost every major result in number ...

GammaDistribution (Built-in Mathematica Symbol)

GammaDistribution[\[Alpha], \[Beta]] represents a gamma distribution with shape parameter \[Alpha] and scale parameter \[Beta].GammaDistribution[\[Alpha], \[Beta], \[Gamma], ...

ArcSinDistribution (Built-in Mathematica Symbol)

ArcSinDistribution[{x min, x max}] represents the arc sine distribution supported between x min and x max.

BatesDistribution (Built-in Mathematica Symbol)

BatesDistribution[n] represents the distribution of a mean of n random variables uniformly distributed from 0 to 1.BatesDistribution[n, {min, max}] represents the ...

CharacteristicFunction (Built-in Mathematica Symbol)

CharacteristicFunction[dist, t] gives the characteristic function for the symbolic distribution dist as a function of the variable t.CharacteristicFunction[dist, {t_1, t_2, ...

D (Built-in Mathematica Symbol)

D[f, x] gives the partial derivative \[PartialD]f/\[PartialD]x. D[f, {x, n}] gives the multiple derivative \[PartialD]^n f/\[PartialD]x^n. D[f, x, y, ...] differentiates f ...

Factor (Built-in Mathematica Symbol)

Factor[poly] factors a polynomial over the integers. Factor[poly, Modulus -> p] factors a polynomial modulo a prime p. Factor[poly, Extension -> {a_1, a_2, ...}] factors a ...