Sentence examples similar to for a certain odd integer from inspiring English sources

Here, assume that, for a certain positive integer, can be represented as -time nested superposition.

Since for some odd integer and is odd, by (5.32), we have (5.33).

If is an odd integer not less than, then.

For the converse, suppose that is even, for some odd integer and for some We further suppose that satisfies (a) and let be defined by (5.20).

While for attractive coupling integer multiples of a given constant period are optimal, for repulsive coupling odd integer multiples of half of the same period have the best effect.

Theorem 2.3 Let f ( x ) = x l for − 2 < x < 2 and l be a positive odd integer.

Let n be a positive odd integer.

Theorem 3.3 Let m be a positive odd integer.

By Lemma 4.4 ii),a necessary condition for the existence of such solutions is for some odd integer Hence the fact that implies is odd.

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.