Sentence examples for is almost decreasing from inspiring English sources

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}})).

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}})).

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.

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

However, while the curve obtained using data from mall A is almost monotonically decreasing and show a steep downward slope, the curves obtained using mall B data show a larger variation and a less steep downward slope.

In the presence of the long-range interactions, there is almost no decrease in total methylation flux (despite the decrease in SAM) as folate deficiency becomes more and more severe (green curve).

The conversion variation is almost constant with decreasing catalyst volume, implying a nonsignificant internal mass transfer resistance within Pd/m-HDPE catalysts because of the CO2-swollen HDPE support and the microcellular structure contributing to the facile inner mass transfer.

A ~ 95% mechanocatalytic decomposition ratio of BiFeO3 is achieved for a Rhodamine B wastewater (~ 10 mg/L) and there is almost no decrease of mechanocatalytic performance after recycling BiFeO3 catalysts for five times.

There is almost 140 °C decrease in thermal decomposition temperature of AP when porous hollow are used as catalyst.

The abundance of 14C in the atmosphere and in living organisms is almost constant, but decreases predictably in their bodies after death.