Numerical Solution of Partial ... (Mathematica Tutorial)

The numerical method of lines is a technique for solving partial differential equations by discretizing in all but one dimension, and then integrating the semi-discrete ...

Partition (Built-in Mathematica Symbol)

Partition[list, n] partitions list into non-overlapping sublists of length n. Partition[list, n, d] generates sublists with offset d. Partition[list, {n_1, n_2, ...}] ...

Algebraic Operations on Polynomials (Mathematica Tutorial)

For many kinds of practical calculations, the only operations you will need to perform on polynomials are essentially structural ones. If you do more advanced algebra with ...

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.

CosIntegral (Built-in Mathematica Symbol)

CosIntegral[z] gives the cosine integral function Ci(z).

Factorial2 (Built-in Mathematica Symbol)

n!! gives the double factorial of n.

LegendreQ (Built-in Mathematica Symbol)

LegendreQ[n, z] gives the Legendre function of the second kind Q_n (z). LegendreQ[n, m, z] gives the associated Legendre function of the second kind Q_n^m(z).

LogIntegral (Built-in Mathematica Symbol)

LogIntegral[z] is the logarithmic integral function li(z).

ModularLambda (Built-in Mathematica Symbol)

ModularLambda[\[Tau]] gives the modular lambda elliptic function \[Lambda](\[Tau]).

RiemannSiegelZ (Built-in Mathematica Symbol)

RiemannSiegelZ[t] gives the Riemann\[Dash]Siegel function Z(t).