Numerical Calculations (Mathematica Tutorial)

Exact symbolic results are usually very desirable when they can be found. In many calculations, however, it is not possible to get symbolic results. In such cases, you must ...

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) ...

ContourPlot (Built-in Mathematica Symbol)

ContourPlot[f, {x, x_min, x_max}, {y, y_min, y_max}] generates a contour plot of f as a function of x and y. ContourPlot[f == g, {x, x_min, x_max}, {y, y_min, y_max}] plots ...

DiscreteWaveletPacketTransform (Built-in Mathematica Symbol)

DiscreteWaveletPacketTransform[data] gives the discrete wavelet packet transform (DWPT) of an array of data.DiscreteWaveletPacketTransform[data, wave] gives the discrete ...

DiscreteWaveletTransform (Built-in Mathematica Symbol)

DiscreteWaveletTransform[data] gives the discrete wavelet transform (DWT) of an array of data.DiscreteWaveletTransform[data, wave] gives the discrete wavelet transform using ...

Probability (Built-in Mathematica Symbol)

Probability[pred, x \[Distributed] dist] gives the probability for an event that satisfies the predicate pred under the assumption that x follows the probability distribution ...

Numerical Examples (Library Link Tutorial)

The functions accessible with Wolfram LibraryLink make it possible to optimize numerical computations while still keeping the flexibility and generality of Mathematica. If ...

ArcCot (Built-in Mathematica Symbol)

ArcCot[z] gives the arc cotangent cot -1 (z) of the complex number z.

ArcTanh (Built-in Mathematica Symbol)

ArcTanh[z] gives the inverse hyperbolic tangent tanh -1 (z) of the complex number z.

ChebyshevT (Built-in Mathematica Symbol)

ChebyshevT[n, x] gives the Chebyshev polynomial of the first kind T_n (x).