Sentence examples for under some condition from inspiring English sources

In 2004, Xu [6] proved that under some condition on { α n }, the sequence { x n } generated by x n + 1 = α n f x n + ( 1 − α n ) T x n. strongly converges to x ∗ in Fix ( T ) which is the unique solution of the variational inequality 〈 ( I − f ) x ∗, x − x ∗ 〉 ≥ 0. for all x ∈ Fix ( T ).

Under some condition over here that n is greater than two, then the node breaks up into two parts.

It is shown to be Lyapunov stable and converges globally to an optimal solution under some condition.

In many cases rehabilitation meant that an offender would be released on probation under some condition; in other cases it meant that he would serve a relatively longer period in custody to undergo treatment or training.

Our algorithm is based on the combinatorial result that under some condition, a partial word is primitive if and only if it is not compatible with an inside factor of its square.

(1) An element of the space X is hypercyclic (supercyclic) for all positive powers Tn of an operator T in B X) if it is hypercyclic (supercyclic) for T. (2) Under some condition on the spectrum of the adjoint of a cyclic operator, the set of all cyclic vectors of the operator is dense.

under some conditions (see Theorem 4).

Switzerland already allows assisted suicide under some conditions.

Under some conditions the combination may become uncoupled.

Granular formulations have advantages under some conditions, however.

Under some conditions, it can turn into flammable gas.