Residue[expr, {z, z_0}] finds the residue of expr at the point z = z_0.

VariationalD[f, u[x ], x] returns the variational derivative of the integral \[Integral]f \[DifferentialD]x with respect to u[x], where the integrand f is a function of u, ...

Unicode: 00A3. Letter-like form. Currency symbol for British pound sterling, as in £ 5. Used in mathematics to denote Lie derivative.

The numerical method of lines is a technique for solving partial differential equations by discretizing in all but one dimension, and then integrating the semi-discrete ...

GaussianMatrix[r] gives a matrix that corresponds to a Gaussian kernel of radius r. GaussianMatrix[{r, \[Sigma]}] gives a matrix corresponding to a Gaussian kernel with ...

InterpolatingFunction[domain, table] represents an approximate function whose values are found by interpolation.

NHoldAll is an attribute which specifies that none of the arguments to a function should be affected by N.

The Mathematica function Integrate[f,x] gives you the indefinite integral ∫f dx. You can think of the operation of indefinite integration as being an inverse of ...

A partial differential equation (PDE) is a relationship between an unknown function u(x_1,x_2,…,x_n) and its derivatives with respect to the variables x_1,x_2,…,x_n. Here is ...

Mathematica's ability to deal with symbolic expressions, as well as numbers, allows you to use it for many kinds of mathematics. Calculus is one example. With Mathematica, ...