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The conjugate of a quaternion a=a_1+a_2i+a_3j+a_4k is defined by a^_=a_1-a_2i-a_3j-a_4k.

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 ...

In the American system, 10^(45).

In the American system, 10^(48).

In the American system, 10^(18).

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

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

The notation R^_ denotes the set of affinely extended real numbers.

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

A primality test that provides an efficient probabilistic algorithm for determining if a given number is prime. It is based on the properties of strong pseudoprimes. The ...