lhs =. removes any rules defined for lhs.

MultivariateTDistribution[\[CapitalSigma], \[Nu]] represents the multivariate Student t distribution with scale matrix \[CapitalSigma] and degrees of freedom parameter ...

Here is the integral ∫x^n dx in Mathematica. Here is a slightly more complicated example. Mathematica knows how to do almost any integral that can be done in terms of ...

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 ...

NArgMax[f, x] gives a position x_max at which f is numerically maximized.NArgMax[f, {x, y, ...}] gives a position {x_max, y_max, ...} at which f is numerically ...

The general solution to a differential equation contains undetermined coefficients that are labeled C[1], C[2], and so on. This example has one undetermined parameter, C[1]. ...

ControlActive[act, norm] evaluates to act if a control that affects act is actively being used, and to norm otherwise.

ValueFunction[symb] represents a function to be applied whenever the symbol symb gets a new value.

Mathematica supports state-of-the-art sound generation, providing both arbitrary waveform synthesis from functions and data, and symbolic note-based MIDI-style sound ...

OneIdentity is an attribute that can be assigned to a symbol f to indicate that f[x], f[f[x]], etc. are all equivalent to x for the purpose of pattern matching.