The integral part (whether positive or negative) of a logarithm.

The characteristic n of a ring A is the unique non-negative integer with the property that the collection of integers m for which m1A = 0 in the ring is the set of multiples of n. The characteristic of a field is either a prime number p in which case the field has a smallest subfield isomorphic to Zp, the ring of integers modulo p, or else 0, in which case the field has a smallest subfield isomorphic to Q, the ring of rational numbers.

The characteristic of a ring is the smallest positive integer satisfying 1 = 0 if it exists and 0 otherwise. In particular ne=0 for all elements of the ring.

the integer part (positive or negative) of the representation of a logarithm; in the expression log 643 = 2.808 the characteristic is 2

In some fields, 1+1+...+1=0. The number of 1es which add up to 0 is called the characteristic of the field. if 1+1+...+1 never yields 0, as it is the case with ordinary rational numbers, we speak of a field of characteristic 0.

The characteristic of a ring is the smallest positive integer satisfying 1 = 0 if it exists and 0 otherwise. As a consequence, nx=0 for all elements of the ring.

In mathematics, the characteristic of a ring R with multiplicative identity element 1R is defined to be the smallest positive integer n such that