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Dawson's integral (Abramowitz and Stegun 1972, pp. 295 and 319), also sometimes called Dawson's function, is the entire function given by the integral F(x) = ...

The norm n(a) of a quaternion a=a_1+a_2i+a_3j+a_4k is defined by n(a)=sqrt(aa^_)=sqrt(a^_a)=sqrt(a_1^2+a_2^2+a_3^2+a_4^2), where a^_=a_1-a_2i-a_3j-a_4k is the quaternion ...

A transformation of the form A^'=UAU^(H), where U^(H) denotes the conjugate transpose.

A Jordan curve is a plane curve which is topologically equivalent to (a homeomorphic image of) the unit circle, i.e., it is simple and closed. It is not known if every Jordan ...

The Lester circle is the circle on which the circumcenter C, nine-point center N, and the first and second Fermat points X and X^' lie (Kimberling 1998, pp. 229-230). Besides ...

The quantity under a radical sign.

An idoneal number, also called a suitable number or convenient number, is a positive integer D for which the fact that a number is a monomorph (i.e., is expressible in only ...

A surface of revolution is a surface generated by rotating a two-dimensional curve about an axis. The resulting surface therefore always has azimuthal symmetry. Examples of ...

Probability and Statistics

A set X whose elements can be numbered through from 1 to n, for some positive integer n. The number n is called the cardinal number of the set, and is often denoted |X| or ...