Sentence examples for bounded sequence such that from inspiring English sources

Let be a bounded sequence such that.

If, and there exists a bounded sequence such that (4.1).

Any bounded sequence such that as has a convergent subsequence.

Assume that ({x_{n} }) is a bounded sequence such that (x_{n}-Tx_{n}rightarrow0) as (nrightarrowinfty).

Assume ({x_{n}}) is a bounded sequence such that (x_{n}-Tx_{n}to0) as (nto infty).

Let ( u n ) ⊂ E a bounded sequence such that u n ⇀ u in E and J ′ ( u n ) → 0.

In this article, we always assume that for all i, j = 1, 2, (H 1) r i (k), a ij (k) are all positive bounded sequences such that, ; τ is a nonnegative integer.

Lemma 5 Let { a m 1 } m ∈ N, …, { a m n } m ∈ N be n real lower bounded sequences such that { max ( a m 1, …, a m n ) } m ∈ N → δ.

A2::  If ({x^{k}}subset operatorname {int}K) and ({y^{k}}subset operatorname {int}K) are bounded sequences such that (lim_{krightarrow+infty} Vert x_{k}-y_{k}Vert )=0, then lim_{krightarrow+infty} bigl nabla f(x_{k})- nabla f y_{k}) bigr)=0.

If, is a bounded sequence in such that (2.23).

We extended the 121 NRSF-bound sequences such that each sequence in the dataset is a multiple of 100 and the minimum length is 500 bp.