Introduction to Solving Nonlinear ... (Mathematica Tutorial)

There are some close connections between finding a "local minimum" and solving a set of nonlinear equations. Given a set of n equations in n unknowns, seeking a solution r(x) ...

IrreduciblePolynomialQ (Built-in Mathematica Symbol)

IrreduciblePolynomialQ[poly] tests whether poly is an irreducible polynomial over the rationals.IrreduciblePolynomialQ[poly, Modulus -> p] tests whether poly is irreducible ...

Csch (Built-in Mathematica Symbol)

Csch[z] gives the hyperbolic cosecant of z.

Tanh (Built-in Mathematica Symbol)

Tanh[z] gives the hyperbolic tangent of z.

SquareFreeQ (Built-in Mathematica Symbol)

SquareFreeQ[expr] gives True if expr is a square-free polynomial or number, and False otherwise.SquareFreeQ[expr, vars] gives True if expr is square free with respect to the ...

Structural Operations on Rational ... (Mathematica Tutorial)

For ordinary polynomials, Factor and Expand give the most important forms. For rational expressions, there are many different forms that can be useful. Different kinds of ...

GUIObject (GUIKit Package Symbol)

GUIObject[root, args] represents a live interface instance with root widget root, wrapping the active widgets and environment.

InitializeXMLParser (XML Package Symbol)

InitializeXMLParser[root, " file"] creates an XMLParser object that has a list of entities corresponding to the contents of " file" and can be used on XML documents that have ...

Function Approximations Package ... (Function Approximations Package Tutorial)

[1] Hairer, E. and G. Wanner. Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems. Springer, 1991. [2] Iserles, A. and S. P. Nørsett. Order ...

Clairaut Equations (Mathematica Tutorial)

A Clairaut equation is a first-order equation of the form A remarkable feature of this nonlinear equation is that its general solution has a very simple form. This is an ...