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An n×n matrix A is an elementary matrix if it differs from the n×n identity I_n by a single elementary row or column operation.

A number which can be specified implicitly or explicitly by exponential, logarithmic, and algebraic operations.

One of the operations of addition, subtraction, multiplication, division, and integer (or rational) root extraction.

A proof which can be accomplished using only real numbers (i.e., real analysis instead of complex analysis; Hoffman 1998, pp. 92-93).

A portion of the Mandelbrot set centered around 0.3+0i with size approximately 0.1+0.1i.

Ellipsoidal calculus is a method for solving problems in control and estimation theory having unknown but bounded errors in terms of sets of approximating ellipsoidal-value ...

Given a Jacobi amplitude phi in an elliptic integral, the argument u is defined by the relation phi=am(u,k). It is related to the elliptic integral of the first kind F(u,k) ...

A parameter n used to specify an elliptic integral of the third kind Pi(n;phi,k).

An even Mathieu function ce_r(z,q) with characteristic value a_r.

delta(r)=sqrt(r)-2alpha(r), where alpha(r) is the elliptic alpha function.