Quantitative algebraic topology and Lipschitz homotopy [PDF]
Ferry S, Weinberger S.
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Noise-Induced Dysregulation of Quaking RNA Binding Proteins Contributes to Auditory Nerve Demyelination and Hearing Loss. [PDF]
Panganiban CH +11 more
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Influence of electrotonic structure and synaptic mapping on the receptive field properties of a collision-detecting neuron. [PDF]
Peron SP, Krapp HG, Gabbiani F.
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Identification of Spatial Clusters of Undervaccination Patterns Among Children Aged <24 Months Using Immunization Information System Data, Montana, 2015-2019. [PDF]
Newcomer SR +6 more
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Discrete restraint-based protein modeling and the Calpha-trace problem. [PDF]
DePristo MA +3 more
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RNA Structural Dynamics As Captured by Molecular Simulations: A Comprehensive Overview. [PDF]
Šponer J +11 more
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Measures of semi-noncompactness and AM-mappings
In this paper, we define measures of semi-noncompactness in a locally convex topological linear space with respect to a given seminorm, and give some simple properties, including a fixed point theorem for a certain class of condensing mappings.
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Measures of noncompactness of interpolated polynomials
Forum Mathematicum, 2022Abstract We study interpolation of the measure of noncompactness of homogeneous polynomials on Banach spaces. We prove that, for a large class of interpolation functors, preserving interpolation of measures of noncompactness of interpolated linear operators between Banach couples can be lifted to polynomials.
Mastyło, Mieczysław +1 more
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Inequivalent measures of noncompactness
Annali di Matematica Pura ed Applicata, 2010Let \(X\) be a Banach space and \({\mathcal B}(X)\) denote the set of all bounded subsets of \(X\). We say that a map \(\beta:{\mathcal B}(X)\to [0,\infty)\) is a homogeneous measure of noncompactness on \(X\) if for all \(S,T\in{\mathcal B}(X)\): (1) \(\beta(S)= 0\) iff \(\overline S\) is compact, (2) \(\beta(S)\leq\beta(T)\) for all \(S\subset T ...
Mallet-Paret, John, Nussbaum, Roger D.
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