The NumericalDifferentialEquationAnalysis package combines functionality for analyzing differential equations using Butcher trees, Gaussian quadrature, and Newton-Cotes ...

While DSolve usually returns the correct solution to a differential equation it is given, it is common practice to verify the solution returned by any differential equation ...

The solution given by DSolve can be verified using various methods. The easiest method involves substituting the solution back into the equation. If the result is True, the ...

Benchmark[] runs the MathematicaMark8 benchmark.

Mathematica 8 adds a number of new areas for visualization, including statistical, financial, wavelet, and control-related visualizations. These areas all provide a high ...

DamerauLevenshteinDistance[u, v] gives the Damerau\[Dash]Levenshtein distance between strings or vectors u and v.

DGaussianWavelet[] represents a derivative of Gaussian wavelet of derivative order 2.DGaussianWavelet[n] represents a derivative of Gaussian wavelet of derivative order n.

JacobiSymbol[n, m] gives the Jacobi symbol (n/m).

MexicanHatWavelet[] represents the Mexican hat wavelet of width 1.MexicanHatWavelet[\[Sigma]] represents the Mexican hat wavelet of width \[Sigma].

PaulWavelet[] represents a Paul wavelet of order 4.PaulWavelet[n] represents a Paul wavelet of order n.