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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 group of five elements, also called a quintuplet or pentad.

A group of five elements, also called a quintuple or pentad.

A module taking its coefficients in a ring R is called a module over R or R-module.

A sequence produced by the instructions "reverse, add to the original, then sort the digits." For example, after 668, the next iteration is given by 668+866=1534, so the next ...

The point with respect to which a radial curve is computed.

The point of illumination for a caustic.

The quantity under a radical sign.

The vector r from the origin to the current position. It is also called the position vector. The derivative of r satisfies ...

5((x^5)_infty^5)/((x)_infty^6)=sum_(m=0)^inftyP(5m+4)x^m, where (x)_infty is a q-Pochhammer symbol and P(n) is the partition function P.