EllipticLog (Built-in Mathematica Symbol)

EllipticLog[{x, y}, {a, b}] gives the generalized logarithm associated with the elliptic curve y^2 = x^3 + a x^2 + b x.

Integers (Built-in Mathematica Symbol)

Integers represents the domain of integers, as in x \[Element] Integers.

NIntegrate References (Mathematica Tutorial)

[BerntEspGenz91] Berntsen, J., T. O. Espelid, and A. Genz. "An Adaptive Algorithm for the Approximate Calculation of Multiple Integrals." ACM Trans. Math. Softw. 17, no. 4 ...

Data Transforms and Smoothing (Mathematica Guide)

Directly integrated into Mathematica's uniform architecture for handling lists of data is an array of highly optimized algorithms for transforming and smoothing datasets that ...

Elliptic Functions (Mathematica Guide)

With careful standardization of argument conventions, Mathematica provides full coverage of all standard types of elliptic functions, with arbitrary-precision numerical ...

TriangularSurfacePlot (Computational Geometry Package Symbol)

TriangularSurfacePlot[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}] plots the surface according to the Delaunay triangulation established by projecting the points onto the x-y ...

SphericalHarmonicY (Built-in Mathematica Symbol)

SphericalHarmonicY[l, m, \[Theta], \[Phi]] gives the spherical harmonic Y_l^m(\[Theta], \[Phi]).

SmoothHistogram3D (Built-in Mathematica Symbol)

SmoothHistogram3D[{{x_1, y_1}, {x_2, y_2}, ...}] plots a 3D smooth kernel histogram of the values {x_i, y_i}.SmoothHistogram3D[{{x_1, y_1}, {x_2, y_2}, ...}, espec] plots a ...

JacobiZeta (Built-in Mathematica Symbol)

JacobiZeta[\[Phi], m] gives the Jacobi zeta function Z(\[Phi] \[VerticalSeparator] m).

Summary of New Features in 6.0 (Mathematica Guide)

Mathematica 6.0 fundamentally redefined Mathematica and introduced a major new paradigm for computation. Building on Mathematica's time-tested core symbolic architecture, ...