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Adjectives and boundedness [PDF]

open access: yesCognitive Linguistics, 2001
This paper examines the significance of the schematic domain of BOUNDEDNESS in adjectives. It is proposed that boundedness in adjectives is a fundamental characteristic associated with gradability. Cross-categorial correspondences are made to nouns and verbs, where boundedness is a feature of countability and aktionsart respectively. Two basic types of
Carita Paradis
exaly   +4 more sources

A uniform boundedness theorem [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1967
A variation on the uniform boundedness theorem [2, p. 105] of functional analysis is obtained by replacing pointwise boundedness by a slightly stronger type of boundedness. This makes it possible to remove the category requirements from the set over which it is desired to have a collection of functions uniformly bounded.
John W. Brace, Robert M. Nielsen
openalex   +3 more sources

Crystalline boundedness principle [PDF]

open access: yesAnnales Scientifiques de l’École Normale Supérieure, 2005
We prove that an $F$-crystal $(M,\vph)$ over an algebraically closed field $k$ of characteristic $p>0$ is determined by $(M,\vph)$ mod $p^n$, where $n\ge 1$ depends only on the rank of $M$ and on the greatest Hodge slope of $(M,\vph)$.
Vasiu, Adrian
core   +8 more sources

On a two-species competitive predator-prey system with density-dependent diffusion

open access: yesMathematical Biosciences and Engineering, 2022
This paper deals with a two-species competitive predator-prey system with density-dependent diffusion, i.e., $ \begin{eqnarray*} \label{1a} \left\{ \begin{split}{} &u_t = \Delta (d_{1}(w)u)+\gamma_{1}uF_{1}(w)-uh_{1}(u)-\beta_{1}uv,&(x,t)\in ...
Pan Zheng
doaj   +1 more source

Boundedness of a predator-prey model with density-dependent motilities and stage structure for the predator

open access: yesElectronic Research Archive, 2022
In this paper, we consider a predator-prey model with density-dependent prey-taxis and stage structure for the predator. We establish the existence of classical solutions with uniform-in-time bound in a one-dimensional case.
Ailing Xiang, Liangchen Wang
doaj   +1 more source

Global classical solutions for a class of reaction-diffusion system with density-suppressed motility

open access: yesElectronic Research Archive, 2022
This paper is concerned with a class of reaction-diffusion system with density-suppressed motility $ \begin{equation*} \begin{cases} u_{t} = \Delta(\gamma(v) u)+\alpha u F(w), & x \in \Omega, \quad t>0, \\ v_{t} = D \Delta v+u-v, & x \in \
Wenbin Lyu, Zhi-An Wang
doaj   +1 more source

$R$ -Boundedness versus $\gamma$ -boundedness [PDF]

open access: yesArkiv för Matematik, 2016
It is well-known that in Banach spaces with finite cotype, the $R$-bounded and $\gamma$-bounded families of operators coincide. If in addition $X$ is a Banach lattice, then these notions can be expressed as square function estimates. It is also clear that $R$-boundedness implies $\gamma$-boundedness.
Kwapien, Stanislaw   +2 more
openaire   +5 more sources

Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings

open access: yesAdvanced Nonlinear Studies, 2022
The chemotaxis–Stokes system nt+u⋅∇n=∇⋅(D(n)∇n)−∇⋅(nS(x,n,c)⋅∇c),ct+u⋅∇c=Δc−nc,ut=Δu+∇P+n∇Φ,∇⋅u=0,\left\{\begin{array}{l}{n}_{t}+u\cdot \nabla n=\nabla \cdot (D\left(n)\nabla n)-\nabla \cdot (nS\left(x,n,c)\cdot \nabla c),\\ {c}_{t}+u\cdot \nabla c ...
Winkler Michael
doaj   +1 more source

Separating Polynomial $$\chi $$-Boundedness from $$\chi $$-Boundedness

open access: yesCombinatorica, 2023
AbstractExtending the idea from the recent paper by Carbonero, Hompe, Moore, and Spirkl, for every function $$f:\mathbb {N}\rightarrow \mathbb {N}\cup \{\infty \}$$ f : N → N ∪ {
Briański, M, Davies, J, Walczak, B
openaire   +4 more sources

Dynamical behaviors of a k-order fuzzy difference equation

open access: yesOpen Mathematics, 2022
Difference equations are often used to create discrete mathematical models. In this paper, we mainly study the dynamical behaviors of positive solutions of a nonlinear fuzzy difference equation: xn+1=xnA+Bxn−k(n=0,1,2,…),{x}_{n+1}=\frac{{x}_{n}}{A+B{x}_ ...
Han Caihong   +3 more
doaj   +1 more source

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