Results 101 to 110 of about 641,231 (269)
Metrics in the permutation space
AbstractIn various problems the solution is completely specified by determining an optimal permutation of {1,…,n}. To use an optimum-seeking method one has to define the space of permutations, i.e., to define the metric of this space. The development of this area began with the pioneering work of E.S. Page [1].
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Transformations in metric spaces and ordinary differential equations [PDF]
John V. Wehausen
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The impact of frailty syndrome on skeletal muscle histology: preventive effects of exercise
Frailty syndrome exacerbates skeletal muscle degeneration via increased ECM deposition and myofiber loss. This study, using a murine model, demonstrates that endurance exercise attenuates these histopathological alterations, preserving muscle integrity. Findings support exercise as a viable strategy to counteract frailty‐induced musculoskeletal decline
Fujue Ji+3 more
wiley +1 more source
Estimating the gap of finite metric spaces of strict p-negative type [PDF]
Let (X,d) be a finite metric space. This paper first discusses the spectrum of the p-distance matrix of a finite metric space of p-negative type and then gives upper and lower bounds for the so called gap of a finite metric space of strict p-negative type. Furthermore estimations for the gap under a certain glueing construction for finite metric spaces
arxiv
Axiomatic definitions of perfectly separable metric spaces [PDF]
Garrett Birkhoff
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Survey on the Canonical Metrics on the Teichmüller Spaces and the Moduli Spaces of Riemann Surfaces [PDF]
This thesis results from an intensive study on the canonical metrics on the Teichm\"{u}ller spaces and the moduli spaces of Riemann surfaces. There are several renowned classical metrics on $T_g$ and $\mathcal{M}_g$, including the Weil-Petersson metric, the Teichm\"{u}ller metric, the Kobayashi metric, the Bergman metric, the Carath\'{e}odory metric ...
arxiv
Generalizations of Banach and Kannan Fixed point theorems in b_{v}(s) metric spaces [PDF]
Generalizations of a metric space is one of the most important research areas in mathematics. In literature ,there are several generalized metric spaces. The latest generalized metric space is b_{v}(s) metric space which is introduced by Mitrovic and Radenovic in 2017. In this paper, we prove Kannan fixed point theorem and generalize Banach fixed point
arxiv
Quadratic Diameter of a Metric Space and its Application to a Problem in Analysis [PDF]
Shizuo Kakutani
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A generalization of metric space is presented which is shown to admit a theory strongly related to that of ordinary metric spaces. To avoid the topological effects related to dropping any of the axioms of metric space, first a new, and equivalent, axiomatization of metric space is given which is then generalized from a fresh point of view.
arxiv
Currents in metric spaces [PDF]
AMBROSIO, Luigi, KIRCHHEIM BERND
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