Sentence examples for a decreasing sequence of from inspiring English sources

Specifically, the procedure uses an existing feasibility check procedure iteratively as its subroutine with a decreasing sequence of tolerance levels.

The contribution of dissolved ions to the total inhibition by NPs suspension followed a decreasing sequence of Al (66%) > Cu (46%) > Cu C (45%) > Al2O3 (44%) > SS1[SiO2] (25%) > SP1[SiO2] (4%), suggesting that the inhibition of BChE may partly result from ion dissolution from NPs.

which shows that { ∥ x n − p ∥ } is a decreasing sequence of non-negative reals.

This implies that { d ( x n, x n + 1 ) } is a decreasing sequence of positive numbers.

(Cantor property) If is a decreasing sequence of closed sets with, then, and [3, Lemma  2.1].

Then ({d(x_{n+1},x_{n})}) is a decreasing sequence of positive numbers.

Hence, {d(Rxn+1, Rxn+2)} is a decreasing sequence of positive real numbers.

The sequence (d(T n (x),c)) is a decreasing sequence of positive numbers.

Therefore, { p b ( A x n, A x n + 1 ) } is a decreasing sequence of nonnegative real numbers.

Also, since is a decreasing sequence of closed convex subsets of such that is nonempty, it follows that (3.22).

(3) (Cantor property) If is a decreasing sequence of closed sets with, then, and [3, Lemma  2.1].  .