Functions That Do Not Have Unique Values (Mathematica Tutorial)

When you ask for the square root s of a number a, you are effectively asking for the solution to the equation s^2a. This equation, however, in general has two different ...

Brent's Method (Mathematica Tutorial)

When searching for a real simple root of a real valued function, it is possible to take advantage of the special geometry of the problem, where the function crosses the axis ...

Working with Special Functions (Mathematica Tutorial)

Some common operations on special functions. Most special functions have simpler forms when given certain specific arguments. Mathematica will automatically simplify special ...

J/Link User Guide (JLink Overview)

Introduction to J/Link Calling Java from Mathematica Writing Java Programs That Use Mathematica

Fourier Series Package (Fourier Series Package Tutorial)

The Mathematica kernel provides the functions FourierTransform and InverseFourierTransform for computing the symbolic Fourier exponential transform and inverse transform. It ...

CDFWavelet (Built-in Mathematica Symbol)

CDFWavelet[] represents a Cohen\[Dash]Daubechies\[Dash]Feauveau wavelet of type "9/7". CDFWavelet["type"] represents a Cohen\[Dash]Daubechies\[Dash]Feauveau wavelet of type " ...

StateFeedbackGains (Built-in Mathematica Symbol)

StateFeedbackGains[ss, {p_1, p_2, ..., p_n}] gives the state feedback gain matrix for the StateSpaceModel object ss such that the poles of the closed-loop system are p_i.

Tan (Built-in Mathematica Symbol)

Tan[z] gives the tangent of z.

Introduction to Advanced Numerical ... (Mathematica Tutorial)

The Mathematica function NDSolve is a general numerical differential equation solver. It can handle a wide range of ordinary differential equations (ODEs) as well as some ...

EventLocator Method for NDSolve (Mathematica Tutorial)

It is often useful to be able to detect and precisely locate a change in a differential system. For example, with the detection of a singularity or state change, the ...