Results 91 to 100 of about 6,611,973 (350)
Retracts in Metric Spaces [PDF]
Proceedings of the American Mathematical Society, 1980 In this paper we define S-contractibility and two classes of spaces connected with this notion. A space X is said to be S-contractible provided that S is a function S : X × ⟨ 0 , 1 ⟩ × X ( x , α , y ) ↦ S
openaire +2 more sources
On a Theorem in Metric Spaces [PDF]
The Annals of Mathematical Statistics, 1958 \(P\) sei die folgende Abschwächung der Kontinuumshypothese: Die Mächtigkeit der Gesamtheit der Untermengen einer überabzählbaren Grundmenge ist größer als die des Kontinuums. Mit \(P\) als äquivalent erweist sich die folgende Aussage: Der metrische Raum \(X\) ist dann und nur dann separabel, wenn die Mächtigkeit der Gesamtheit seiner Borelschen Mengen
Varadarajan, V. S., Rao, R. Ranga
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Infection Models for Pine Wilt Disease on the Basis of Vector Behaviors
Population Ecology, EarlyView.Infection models for pine wilt disease without vector density were built to estimate the transmission coefficient of the pathogenic nematode. The models successfully simulated the annual change in the density of infected trees for four pine stands. ABSTRACT Pine wilt disease is caused by the pinewood nematode (Bursaphelenchus xylophilus Steiner et ...
Katsumi Togashi
wiley +1 more source
A new extension to the controlled metric type spaces endowed with a graph
Advances in Difference Equations, 2021 In this paper, we initiate a new extension of b-metric spaces, called controlled metric-like spaces, by changing the condition [ ℘ ( s , r ) = 0 ⇔ s = r ] by [ ℘ ( s , r ) = 0 ⇒ s = r ] $$ \bigl[\wp (s,r)=0 \Leftrightarrow s=r\bigr]\quad \text{by ...
Nabil Mlaiki +3 more
doaj +1 more source
Bounded-Distortion Metric Learning [PDF]
, 2015 Metric learning aims to embed one metric space into another to benefit tasks like classification and clustering. Although a greatly distorted metric space has a high degree of freedom to fit training data, it is prone to overfitting and numerical ...
Jia, Jiaya +4 more
core
A Kernel-Based Calculation of Information on a Metric Space
, 2013 Kernel density estimation is a technique for approximating probability distributions. Here, it is applied to the calculation of mutual information on a metric space.
Houghton, Conor J., Tobin, R. Joshua
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On a Theorem of Khan in a Generalized Metric Space
, 2013 Existence and uniqueness of fixed points are established for a mapping satisfying a contractive condition involving a rational expression on a generalized metric space.
Jamshaid Ahmad, M. Arshad, C. Vetro
semanticscholar +1 more source
Making tau amyloid models in vitro: a crucial and underestimated challenge
FEBS Letters, EarlyView.This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley +1 more source
Fixed-Point Theorems for Nonlinear Contraction in Fuzzy-Controlled Bipolar Metric Spaces
Axioms, 2023 In this paper, we introduce the concept of fuzzy-controlled bipolar metric space and prove some fixed-point theorems in this space. Our results generalize and expand some of the literature’s well-known results.
Gunaseelan Mani +4 more
doaj +1 more source
Optimal classifier for imbalanced data using Matthews Correlation Coefficient metric
PLoS ONE, 2017 Data imbalance is frequently encountered in biomedical applications. Resampling techniques can be used in binary classification to tackle this issue.
Sabri Boughorbel +2 more
semanticscholar +1 more source