Sentence examples for strictly increasing the from inspiring English sources

Since Ψ is strictly increasing, the first statement follows directly.

In the case when is strictly increasing, the -contractive mapping is called a strictly -contractive mapping.

In case when ψ ∈ Ψ is strictly increasing, the -contractive mapping is called a strictly -contractive mapping.

Since ψ is strictly increasing, the above inequality implies that p ( R x 2 n + 3, R x 2 n + 2 ) ≤ p ( R x 2 n + 2, R x 2 n + 1 ).

However, by Lemma 2 in Appendix 2, shortening the first phase strictly increases the secondary rate R2, contradicting our assumption on the optimality of the set of parameters.

Definition 14 allows a coalition to deviate from a strategy profile that strictly increases the payoffs of some of its members without decreasing those of the other members, whereas the original definition allows only deviations that strictly increase the payoffs of all members of a deviating coalition.

Interestingly, the coefficients are now strictly increasing in the remoteness of the market.

Theorem 1 provides a simple axiomatic characterization of the class of confirmation functions that are strictly increasing with the final probability of the hypothesis given the evidence (and \ k\)).

Note that the Green function is strictly increasing in the first variable in the interval.

The sequence ({frac{S_{n+1}}{S_{n}}}_{n=3}^{infty}) is strictly increasing to the limit 9, and the sequence ({frac{sqrt [n+1]{S_{n+1}{sqrt[n[n]{S_{n}}}}_{n=1}^{infty}) is strictly decreasing to the limit 1.

This means that is strictly increasing in the interval and hence the equation, cannot have two distinct positive roots.