Quantifiers (Mathematica Tutorial)

In a statement like x^4+x^2>0, Mathematica treats the variable x as having a definite, though unspecified, value. Sometimes, however, it is useful to be able to make ...

Symbolic Calculations (Mathematica Tutorial)

Mathematica's ability to deal with symbolic expressions, as well as numbers, allows you to use it for many kinds of mathematics. Calculus is one example. With Mathematica, ...

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) ...

EquationTrekker Package (Equation Trekker Package Tutorial)

This package provides an interactive tool for investigating the solutions of differential equations as well as other types of equations that have solutions that can be viewed ...

LiftingWaveletTransform (Built-in Mathematica Symbol)

LiftingWaveletTransform[data] gives the lifting wavelet transform (LWT) of an array of data.LiftingWaveletTransform[data, wave] gives the lifting wavelet transform using the ...

Stiffness Detection (Mathematica Tutorial)

Many differential equations exhibit some form of stiffness, which restricts the step size and hence effectiveness of explicit solution methods. A number of implicit methods ...

Selecting Data (DatabaseLink Tutorial)

SQLSelect selects and returns data from a database. An alternative, using raw SQL, is described in "Selecting Data with Raw SQL". If you find that the examples in this ...

Calling Mathematica from .NET (NETLink Tutorial)

"Calling .NET from Mathematica" describes using .NET/Link to allow you to call from Mathematica into .NET, thereby extending the Mathematica environment to include the ...

Applications (CUDALink Tutorial)

Because GPUs are SIMD machines, to exploit CUDA's potential you must pose the problem in an SIMD manner. Computation that can be partitioned in such a way that each thread ...

MiniMaxApproximation (Function Approximations Package Symbol)

MiniMaxApproximation[expr, {x, {x_0, x_1}, m, n}] finds the rational polynomial function of x, with numerator order m and denominator order n, that gives a mini-max ...