Sentence examples for for an odd integer from inspiring English sources

For an odd integer k≥1 and prime power q, Lazebnik et al. present explicit construction for q-regular bipartite graphs with girth at least k+5 and number of edges q k−1 [15].

In detail, and it is easy to show that for an odd integer n, Since T n, 0 ( z ) = T n ( z ), we may apply results about T n, ϵ ( z ) to those about T n ( z ).

The total spin momentum has magnitude Square root of√S(S + 1), in which S is an integer or half an odd integer, depending on whether the number of electrons is even or odd.

The total spin momentum has magnitude √(S(S + 1)), in which S is an integer or half an odd integer, depending on whether the number of electrons is even or odd.

It is now known that an odd integer R is the hypotenuse of such a triple if and only if every prime factor of R is of the form 4k + 1, where k is a positive integer.

where is an odd integer and.

Therefore S contains an odd integer k.

If is an odd integer not less than, then.

Let (kge2), and (gge3) be an odd integer.

Theorem 1 Let q > 1 be an odd integer.

where p ≤ nhops is an odd integer and q ≤ nhops is an even integer.