Exp (Built-in Mathematica Symbol)

Exp[z] gives the exponential of z.

AiryBiPrime (Built-in Mathematica Symbol)

AiryBiPrime[z] gives the derivative of the Airy function Bi^\[Prime] (z).

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 ...

Indefinite Integrals (Mathematica Tutorial)

The Mathematica function Integrate[f,x] gives you the indefinite integral ∫f dx. You can think of the operation of indefinite integration as being an inverse of ...

FunctionSpace (Built-in Mathematica Symbol)

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

Diophantine Polynomial Systems (Mathematica Tutorial)

A Diophantine polynomial system is an expression constructed with polynomial equations and inequalities combined using logical connectives and quantifiers where the variables ...

OrthogonalProjection Method for NDSolve (Mathematica Tutorial)

Consider the matrix differential equation where the initial value y_0 y(0)∈^m×p is given. Assume that y_0^Ty_0I, that the solution has the property of preserving ...

DiscreteLQRegulatorGains (Built-in Mathematica Symbol)

DiscreteLQRegulatorGains[ss, {q, r}, \[Tau]] gives the optimal discrete-time state feedback gain matrix with sampling period \[Tau] for the continuous-time StateSpaceModel ...

Applying Functions to Lists (Mathematica Guide)

Many computations are conveniently specified in terms of applying functions in parallel to many elements in a list. Mathematica provides a suite of elegant functional ...

Matrix Operations (Mathematica Guide)

Mathematica's matrix operations handle both numeric and symbolic matrices, automatically accessing large numbers of highly efficient algorithms. Mathematica uses ...