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Euler's series transformation is a transformation that sometimes accelerates the rate of convergence for an alternating series. Given a convergent alternating series with sum ...

A projection matrix P is an n×n square matrix that gives a vector space projection from R^n to a subspace W. The columns of P are the projections of the standard basis ...

An operator A^~ such that A^~^2=A^~ or an element of an algebra x such that x^2=x.

A basis, form, function, etc., in two or more variables is said to be multilinear if it is linear in each variable separately.

An operator definition of a function. A Rodrigues formula may be converted into a Schläfli integral.

The word "spectrum" confusingly has a number of unrelated meanings in various branches of mathematics.

A surface represented parametrically by elliptic functions.

An approximate unit for a C^*-algebra A is an increasing net {u_lambda}_(lambda in Lambda) of positive elements in the closed unit ball of A such that a=lim_(lambda)au_lambda ...

The differential equation obtained by applying the biharmonic operator and setting to zero: del ^4phi=0. (1) In Cartesian coordinates, the biharmonic equation is del ^4phi = ...

The closed graph theorem states that a linear operator between two Banach spaces X and Y is continuous iff it has a closed graph, where the "graph" {(x,f(x)):x in X} is ...