NMinimize (Built-in Mathematica Symbol)

NMinimize[f, x] minimizes f numerically with respect to x.NMinimize[f, {x, y, ...}] minimizes f numerically with respect to x, y, .... NMinimize[{f, cons}, {x, y, ...}] ...

Set (Built-in Mathematica Symbol)

lhs = rhs evaluates rhs and assigns the result to be the value of lhs. From then on, lhs is replaced by rhs whenever it appears. {l_1, l_2, ...} = {r_1, r_2, ...} evaluates ...

Exp (Built-in Mathematica Symbol)

Exp[z] gives the exponential of z.

D (Built-in Mathematica Symbol)

D[f, x] gives the partial derivative \[PartialD]f/\[PartialD]x. D[f, {x, n}] gives the multiple derivative \[PartialD]^n f/\[PartialD]x^n. D[f, x, y, ...] differentiates f ...

DifferentialEquationTrek (Equation Trekker Package Symbol)

DifferentialEquationTrek is a setting for the option TrekGenerator that specifies that treks are generated from the phase space of the numerical solution of a differential ...

Introduction to Systems of ODEs (Mathematica Tutorial)

Systems of ODEs are important in various fields of science, such as the study of electricity and population biology. Like single ODEs, systems of ODEs can classified as ...

Quaternions Package (Quaternions Package Tutorial)

This package implements Hamilton's quaternion algebra. Quaternions have the form a+bi+cj+dk where a, b, c, and d are real numbers. The symbols i, j, and k are multiplied ...

EffectiveInterest (Built-in Mathematica Symbol)

EffectiveInterest[r, q] gives the effective interest rate corresponding to interest specification r, compounded at time intervals q.

StateSpaceModel (Built-in Mathematica Symbol)

StateSpaceModel[{a, b, c, d}] represents the state-space model with state matrix a, input matrix b, output matrix c, and transmission matrix d. StateSpaceModel[tf] gives a ...

Norms in NDSolve (Mathematica Tutorial)

NDSolve uses norms of error estimates to determine when solutions satisfy error tolerances. In nearly all cases the norm has been weighted, or scaled, such that it is less ...