Variational Methods Package (Variational Methods Package Guide)

NSum (Built-in Mathematica Symbol)

NSum[f, {i, i_min, i_max}] gives a numerical approximation to the sum \[Sum]i = i_min i_max f.NSum[f, {i, i_min, i_max, di}] uses a step di in the sum.

GeodesyData (Built-in Mathematica Symbol)

GeodesyData["name", " property"] gives the value of the specified property for a named geodetic datum or reference ellipsoid.GeodesyData[{a, b}, " property"] gives the value ...

LatticeReduce (Built-in Mathematica Symbol)

LatticeReduce[{v_1, v_2, ...}] gives a reduced basis for the set of vectors v_i.

KleinInvariantJ (Built-in Mathematica Symbol)

KleinInvariantJ[\[Tau]] gives the Klein invariant modular elliptic function J(\[Tau]).

WeierstrassSigma (Built-in Mathematica Symbol)

WeierstrassSigma[u, {g_2, g_3}] gives the Weierstrass sigma function \[Sigma](u; g_2, g_3).

NProduct (Built-in Mathematica Symbol)

NProduct[f, {i, i_min, i_max}] gives a numerical approximation to the product \[Product]i = i_min i_max f.NProduct[f, {i, i_min, i_max, di}] uses a step di in the product.

RootSum (Built-in Mathematica Symbol)

RootSum[f, form] represents the sum of form[x] for all x that satisfy the polynomial equation f[x] == 0.

Why You Do Not Usually Need to Know ... (Mathematica Tutorial)

Most of the documentation provided for Mathematica is concerned with explaining what Mathematica does, not how it does it. But the purpose of this is to say at least a little ...

Nonlinear PDEs (Mathematica Tutorial)

The general first-order nonlinear PDE for an unknown function u(x,y) is given by Here F is a function of uu(x,y), p ( ∂u(x,y) ) / ( ∂x ) , and q ( ∂u(x,y) ) / ( ∂y ) . The ...