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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 in logic which returns either true or false.

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 ...