Divide (Built-in Mathematica Symbol)

x/y or Divide[x, y] is equivalent to x y^-1.

BSplineCurve (Built-in Mathematica Symbol)

BSplineCurve[{pt_1, pt_2, ...}] is a graphics primitive that represents a non-uniform rational B-spline curve with control points pt_i.

ParallelMap (Built-in Mathematica Symbol)

ParallelMap[f, expr] applies f in parallel to each element on the first level in expr.ParallelMap[f, expr, levelspec] applies f in parallel to parts of expr specified by ...

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 ...

Flatten (Built-in Mathematica Symbol)

Flatten[list] flattens out nested lists. Flatten[list, n] flattens to level n. Flatten[list, n, h] flattens subexpressions with head h. Flatten[list, {{s_11, s_12, ...}, ...

Attributes (Mathematica Tutorial)

Definitions such as f[x_]=x^2 specify values for functions. Sometimes, however, you need to specify general properties of functions, without necessarily giving explicit ...

Operations on Strings (Mathematica Tutorial)

Mathematica provides a variety of functions for manipulating strings. Most of these functions are based on viewing strings as a sequence of characters, and many of the ...

Band (Built-in Mathematica Symbol)

Band[{i, j}] represents the sequence of positions on the diagonal band that starts with {i, j} in a sparse array.Band[{i_min, j_min, ...}, {i_max, j_max, ...}] represents the ...

DirichletConvolve (Built-in Mathematica Symbol)

DirichletConvolve[f, g, n, m] gives the Dirichlet convolution of the expressions f and g.

Higher-Order Euler and Legendre ... (Mathematica Tutorial)

An Euler equation is an ODE of the form The following is an example of an Euler equation. The Legendre linear equation is a generalization of the Euler equation. It has the ...