A nilpotent element in a nonzero ring is necessarily a zero divisor. All of the nonzero null elements are zero divisors. Fractions of integers (with "b" nonzero) are known as rational numbers. Some matrices are not diagonalizable over any field, most notably nonzero nilpotent matrices. Logical operators consider zero false and any nonzero value true. More generally, an matrix with "distinct nonzero eigenvalues" has 2 square roots. The degree of a constant term and of a nonzero constant polynomial is 0. Note that formula 82 and formula 83 for all nonzero integers formula 84. A nonzero ring with no nonzero zero-divisors is called a domain. Cramer's rule applies to the case where the coefficient determinant is nonzero. Two random variables with nonzero correlation are said to be correlated. Consequently no adiabatic process initiated at nonzero temperature can lead to zero temperature. Therefore, an alternative definition of is as the group of matrices with nonzero determinant. Each of these possibilities is associated with a specific nonzero probability amplitude. Let denote the number of nonzero entries in .