Sentence examples for almost decreasing from inspiring English sources
for all, and the sequences, are almost decreasing and almost increasing, respectively.
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}})).
For a Young function Φ, we denote by ({mathcal{G}}_{Phi}) the set of all almost decreasing functions (varphi:(0,infty) to (0,infty)) such that (tin 0,infty) mapstofrac{1}{Phi ^{-1}(v_{n}^{-1}t^{-n})}varphi(t)) is almost increasing.
A function (varphi:(0,infty) to 0,infty)) is said to be almost increasing (resp. almost decreasing) if there exists a constant (C > 0) such that varphi(r)leq C varphi(s qquad bigl text{resp. }varphi(r geq C varphi(s) bigr)quad text{for } rleq s.
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}})).
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.
WER almost decreased monotonically and, after 100 iterations, it converged.
We find that the energy barrier of O2 dissociation almost decrease linearly with the increase Pt positive polarized charges.
With the increase of particle content, the strength of the NACs first increased and then decreased while elongation to fracture was almost decreased.
From 4 cm to ice bottom, the logarithms of radiance profiles almost decrease linearly with increasing the path length of light transfer.
This study shows that the presence of dissolved carbon dioxide affects strongly the efficiency of the transfer of oxygen to the liquid: it almost decreases one order of magnitude when carbon dioxide concentration changes from 0 to 1.4 g/L.
