Results 31 to 40 of about 17,219 (295)
IEEE Access, 2021 Some dynamical behaviors of fractional-order commutative quaternion-valued neural networks (FCQVNNs) are studied in this paper. First, because the commutative quaternion does not satisfy Schwartz triangle inequality, the FCQVNNs are divided into four ...
Yannan Xia +3 more
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Total boundedness and bornologies
Topology and its Applications, 2009 AbstractA set A in a metric space is called totally bounded if for each ε>0 the set can be ε-approximated by a finite set. If this can be done, the finite set can always be chosen inside A. If the finite sets are replaced by an arbitrary approximating family of sets, this coincidence may disappear. We present necessary and sufficient conditions for the
Beer, G, LEVI, SANDRO
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On boundedness of semistable sheaves
Documenta Mathematica, 2022 We give a new simple proof of boundedness of the family of semistable sheaves with fixed numerical invariants on a fixed smooth projective variety. In characteristic zero our method gives a quick proof of Bogomolov's inequality for semistable sheaves on a smooth projective variety of any dimension \ge 2
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Boundedness of semistable sheaves
, 2022 Expository paper for the Stacks Project Online SPONGE 2020 proceedings. Comments welcome!
Guo, H. +3 more
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boundedness of solutions [PDF]
, 2021 This chapter presents the concepts of uniform boundedness, quasiuniform boundedness, and uniform ultimate boundedness in the scenery of generalized ordinary differential equations (ODEs). It includes criteria of uniform boundedness and uniform ultimate boundedness for the generalized ODE.
Afonso, Suzete M. +6 more
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The uniform boundedness theorem and a boundedness principle
Annals of Pure and Applied Logic, 2012 Abstract We deal with a form of the uniform boundedness theorem (or the Banach–Steinhaus theorem) for topological vector spaces in Bishop’s constructive mathematics, and show that the form is equivalent to the boundedness principle BD-N , and hence holds not only in classical mathematics but also in intuitionistic mathematics and in constructive
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Amalgams and χ-Boundedness [PDF]
Journal of Graph Theory, 2016 A class of graphs is hereditary if it is closed under isomorphism and induced subgraphs. A class G of graphs is -bounded if there exists a function f : N ! N such that for all graphs G 2 G, and all induced subgraphs H of G, we have that (H) f(!(H)). We prove that proper homogeneous sets, clique-cutsets, and amalgams together preserve -boundedness. More
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Population Ecology, EarlyView.We investigate the seasonal dynamics of two freshwater snails, Biomphalaria straminea and Melanoides tuberculata, in artificial reservoirs of the Brazilian semiarid region. Despite regulated hydrology, B. straminea exhibited strong seasonal fluctuations associated with dry periods, while M. tuberculata maintained stable populations throughout the year,
Lucas Henrique Sousa da Silva +6 more
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Investigation of the global dynamics of two exponential-form difference equations systems
Electronic Research Archive, 2023 In this study, we investigate the boundedness, persistence of positive solutions, local and global stability of the unique positive equilibrium point and rate of convergence of positive solutions of the following difference equations systems of ...
Merve Kara
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Population Ecology, EarlyView.Population size and dynamics fundamentally shape speciation by influencing genetic drift, founder events, and adaptive potential. Small populations may speciate rapidly due to stronger drift, whereas large populations harbor more genetic diversity, which can alter divergence trajectories. We highlight theoretical models that incorporate population size
Ryo Yamaguchi +3 more
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