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A linear ODE with constant coefficients can be easily solved once the roots of the auxiliary equation (or characteristic equation) are known. Some examples of this type ...

Conventions for file names. Most files used by Mathematica are completely system independent. .mx and .exe files are however system dependent. For these files, there is a ...

A symmetric polynomial in variables x_1,…,x_n is a polynomial that is invariant under arbitrary permutations of x_1,…,x_n. Polynomials are called elementary symmetric ...

When derivatives cannot be computed symbolically, "Newton's" method will be used, but with a finite difference approximation to the Jacobian. This can have costs in terms of ...

The functions described here are among the most commonly used continuous univariate statistical distributions. You can compute their densities, means, variances, and other ...

Indeterminate is a symbol that represents a numerical quantity whose magnitude cannot be determined.

A typical package written in Mathematica introduces several new symbols intended for use outside the package. These symbols may correspond for example to new functions or new ...

"Basic Plotting" describes how to plot curves in Mathematica in which you give the y coordinate of each point as a function of the x coordinate. You can also use Mathematica ...

DifferenceDelta[f, i] gives the discrete difference \[DifferenceDelta]_i f = f(i + 1) - f(i).DifferenceDelta[f, {i, n}] gives the multiple difference DifferenceDelta[f, {i, ...