Sentence examples for exists a decreasing from inspiring English sources

Then there exists a decreasing subsequence { α ℓ n } n ∈ N of { α n } n ∈ N 1.

Next let,, denote the family of plurisubharmonic functions defined on such that there exists a decreasing sequence,, that converges pointwise to on, as tends to, and (3.2).

The Bayesian estimator, τ ̂ b, almost outperforms the built-in estimator of EWMA, τ ̂ EWMA, where there exists a decreasing trend.

Observe that if (fin W^{1,p}(mathbb {R}^n)) is nonnegative, spherically symmetric and decreasing, then there exists a decreasing function (uin W^{1,p}_{loc}(mathbb {R})) such that (f(x)=u(|x|)).

Moreover, T ∞ is σ-selectable, i.e., there exists a decreasing sequence of compact valued maps T n, (i) ∀ n ≥ 0, T n has a continuous selection;   (ii) ∀ ϕ ∈ C ( J 0, R n ), T ∞ = ⋂ n T n .  . ∀ n ≥ 0, T n has a continuous selection; ∀ ϕ ∈ C ( J 0, R n ), T ∞ = ⋂ n T n.

Since in the ordinary case (when (tau(t)equiv t)) there always exists a decreasing solution of (1.1), see [6, Lemma 1], authors have used various techniques to present sufficient conditions guaranteeing that any solution of (1.1) oscillates or converges to zero eventually.

More recently, it was presented that there exists a decreased expression of proteinase inhibitor 3 (Pin) in the preterm premature rupture of membranes (pPROM) cases as shown by cDNA microarrays which contained 9128 sequence-verified elements that represented a total of 8502 unique clones [ 29].

Suppose that obeys (3.6) and obeys (3.7), then there exist a decreasing continuous function such that as and an increasing function such that as.

Apparently there exists a decrease in perceived synchrony when the test subjects (unconsciously) notice some mismatches between the audio mode and the video mode.

It is for this reason that we assume there exists a decrease in the students' performance on this assessment during the puzzle-based portion of the study.

Our observations remind us with those of Black and coworkers who demonstrated that in neuropathic patients there exists a decrease in fibroblast proliferation and a scarce amount of collagen accumulation within the wound bed [ 86].