Nonlinear IVPs and BVPs (Mathematica Tutorial)

Many real-world applications require the solution of IVPs and BVPs for nonlinear ODEs. For example, consider the logistic equation, which occurs in population dynamics. This ...

Sec (Built-in Mathematica Symbol)

Sec[z] gives the secant of z.

Eigensystem (Built-in Mathematica Symbol)

Eigensystem[m] gives a list {values, vectors} of the eigenvalues and eigenvectors of the square matrix m. Eigensystem[{m, a}] gives the generalized eigenvalues and ...

FunctionSpace (Built-in Mathematica Symbol)

FunctionSpace is an option for FindSequenceFunction and related functions that specifies the space of functions to consider for representations.

Structure Matrices & Convolution Kernels (Mathematica Guide)

Mathematica provides built-in functions for generating standard structure matrices and convolution kernels in any number of dimensions, in a form that can be used directly in ...

UnitVector (Built-in Mathematica Symbol)

UnitVector[k] gives the two-dimensional unit vector in the k\[Null]^th direction.UnitVector[n, k] gives the n-dimensional unit vector in the k\[Null]^th direction.

Cashflow (Built-in Mathematica Symbol)

Cashflow[{c_0, c_1, ..., c_n}] represents a series of cash flows occurring at unit time intervals.Cashflow[{c_0, c_1, ..., c_n}, q] represents cash flows occurring at time ...

FindArgMax (Built-in Mathematica Symbol)

FindArgMax[f, x] gives the position x_max of a local maximum of f.FindArgMax[f, {x, x_0}] gives the position x_max of a local maximum of f, found by a search starting from ...

FindArgMin (Built-in Mathematica Symbol)

FindArgMin[f, x] gives the position x_min of a local minimum of f.FindArgMin[f, {x, x_0}] gives the position x_min of a local minimum of f, found by a search starting from ...

FindMaxValue (Built-in Mathematica Symbol)

FindMaxValue[f, x] gives the value at a local maximum of f.FindMaxValue[f, {x, x_0}] gives the value at a local maximum of f, found by a search starting from the point x = ...