Total differentiation operations. When you find the derivative of some expression f with respect to x, you are effectively finding out how fast f changes as you vary x. Often ...

Limit[expr, x -> x_0] finds the limiting value of expr when x approaches x_0.

Many calculations involve solving systems of linear equations. In many cases, you will find it convenient to write down the equations explicitly, and then solve them using ...

InverseFunction[f] represents the inverse of the function f, defined so that InverseFunction[f][y] gives the value of x for which f[x] is equal to y. InverseFunction[f, n, ...

The following techniques are useful for debugging problems with client connections to the license server. MathLM will not start if it cannot find the password file. In that ...

DifferentialRoot[lde] represents a function that solves the linear differential equation specified by lde[y, x].

Any combination of equations or inequalities can be thought of as implicitly defining a region in some kind of space. The fundamental function of Reduce is to turn this type ...

Mathematica has a general mechanism for handling messages generated during computations. Many built-in Mathematica functions use this mechanism to produce error and warning ...

Numerical algorithms for constrained nonlinear optimization can be broadly categorized into gradient-based methods and direct search methods. Gradient-based methods use first ...

CentralMoment[list, r] gives the r\[Null]^th central moment of the elements in list with respect to their mean.CentralMoment[dist, r] gives the r\[Null]^th central moment of ...