Sentence examples for be a nonincreasing sequence from inspiring English sources

Let be a nonincreasing sequence of positive numbers.

Let be a nonincreasing sequence of nonnegative real numbers.

Let be a nonincreasing sequence of positive numbers.. Suppose that for each, then for every, (2.1).

Let be a demimartingale and be a nonincreasing sequence of positive numbers.

Theorem 2.2 Let { S n, n ≥ 1 } be a nonnegative demimartingale with S 0 = 0 and { c n, n ≥ 1 } be a nonincreasing sequence of positive numbers.

Let S1, S2,... be a demimartingale with S0 = 0 and {c k, k ≥ 1} be a nonincreasing sequence of positive numbers.

Then is a nonincreasing sequence.

Since {Tx n } is a nonincreasing sequence in X.

So by the definition of " ", we have, that is, the sequence is a nonincreasing sequence in.

Case 1. Assume that there exists such that the sequence is a nonincreasing sequence for all.

Further, n1 < n2 < … and {d y k, yk+1)} is a nonincreasing sequence.