Sentence examples for are almost decreasing from inspiring English sources

for all, and the sequences, are almost decreasing and almost increasing, respectively.

According to [10, Lemma 3.3] we can ensure that (phiinPhi ) if and only if there exist numbers (alpha_{phi}), (beta_{phi }) in ((0,1)) such that the functions (frac{phi(t)}{t^{alpha _{phi}}}) and (frac{phi(t)}{t^{beta_{phi}}}) are almost decreasing and almost increasing in ((0,+infty]), respectively.

If (Psi^{-1}(t) thickapproxPhi^{-1}(t t^{-frac{alpha+beta }{n}}), condition (6.1) holds and (frac {t^{1+varepsilon}}{Psi(t)}) is almost decreasing for some (varepsilon>0), then the condition (bindot{Lambda}_{beta}({mathbb{R}^{n}})) is necessary and sufficient for the boundedness of (vert b,I_{alpha } vert ) from (L^{Phi }({mathbb{R}^{n}} )) to (WL^{Psi}({mathbb{R}^{n}})).

If the condition (6.3) holds and (frac {t^{1+varepsilon}}{Psi(t)}) is almost decreasing for some (varepsilon>0), then the condition (bindot{Lambda}_{beta }({mathbb{R}^{n}})) is necessary for the boundedness of (vert b,I_{alpha } vert ) from (L^{Phi }({mathbb{R}^{n}} )) to (WL^{Psi}({mathbb{R}^{n}})).

With the increase of particle content, the strength of the NACs first increased and then decreased while elongation to fracture was almost decreased.

From Additional file 6 we can observe that the activation coefficients K1 and K3 have the same influence on the period and amplitude, which is that the oscillation period and amplitude are almost linearly decreased with increases in K1 and K3.

The magnitude of the association between illness episodes and endotoxin levels was almost linearly decreasing with the use of longer observation periods extending further from the original sampling.

Studies in mice with colitis showed that quantitative growth of Verrucomicrobia, Proteobacteria and specifically Bacteroidetes were almost linearly decreased as weight loss progressed (Vanhooren et al. 2013).

These pathway components were almost all decreased by both CR and RP, and are comprised of many ribosomal and protein translation proteins regulated by mTORC1, as noted above.

Diabetes-free life expectancy decreased for both men and women between 1980 1989 and 2000 2004, and these decreases are almost entirely attributable to large increases in diabetes incidence among obese individuals.

By investigating the significant (≥0.05) increases and decreases separately (Fig. 6 D ), it turned out that increases for the vertically tuned neurons are almost as large as decreases.