While[test, body] evaluates test, then body, repetitively, until test first fails to give True.

NETNew[type] constructs a new object of the specified .NET type. NETNew[type, args...] constructs a new object of the specified .NET type, passing the supplied argument ...

[1] Butcher, J. C. The Numerical Analysis of Ordinary Differential Equations: Runge-Kutta and General Linear Methods. John Wiley and Sons, 1987. [2] Iserles, A. A First ...

Using the latest platform-optimized code, Mathematica not only delivers high-efficiency machine-precision evaluation of elementary functions, but also—using a number of ...

ForAll[x, expr] represents the statement that expr is True for all values of x. ForAll[x, cond, expr] states that expr is True for all x satisfying the condition cond. ...

PauliMatrix[k] gives the k\[Null]^th Pauli spin matrix \[Sigma]_k.

The general solution to this equation is found by separation of variables. Even when variables can be separated, the final solution might be accompanied by a warning message ...

In an expression like f[x], the 'function name' f is itself an expression, and you can treat it as you would any other expression. You can replace names of functions using ...

Numerical solution of differential equations. This generates a numerical solution to the equation y^′(x)y(x) with 0<x<2. The result is given in terms of an ...

One of the important features of Mathematica is its ability to give you exact, symbolic, results for computations. There are, however, computations where it is just ...