Results 111 to 120 of about 7,273 (258)
A (p,q)-Averaged Hausdorff Distance for Arbitrary Measurable Sets
Mathematical and Computational Applications, 2018 The Hausdorff distance is a widely used tool to measure the distance between different sets. For the approximation of certain objects via stochastic search algorithms this distance is, however, of limited use as it punishes single outliers.
Johan M. Bogoya +3 more
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Directed graph iterated function systems
, 2011 This thesis concerns an active research area within fractal geometry. In the first part, in Chapters 2 and 3, for directed graph iterated function systems (IFSs) defined on ℝ, we prove that a class of 2-vertex directed graph IFSs have attractors that ...
Boore, Graeme C.
core
Team Cognition Research Is Transforming Cognitive Science
Topics in Cognitive Science, EarlyView.Abstract About 30 years ago, the Dynamical Hypothesis instigated a variety of insights and transformations in cognitive science. One of them was the simple observation that, quite unlike trial‐based tasks in a laboratory, natural ecologically valid behaviors almost never have context‐free starting points.
Michael J. Spivey
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, 1995 Let X be a metric space and let CB(X) denote the closed bounded subsets of X with the Hausdorff metric. Given a complete subspace Y of CB(X), two fixed point theorems, analogues of results in [1], are proved, and examples are given to suggest their ...
Matt Insall
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The Journal of Physiology, EarlyView.Abstract figure legend Digital heart models of human donor atria with cardiac co‐morbidities revealed that regions with AWT variation, aligned myofibres adjacent to disorganised zones and fibrotic borders promoted the localisation and stability of RDs. AWT had a global influence, whereas fibre orientation and fibrosis exerted chamber‐specific regional ...
Anuradha Kulathilaka +8 more
wiley +1 more source
Computational and Systems Oncology, Volume 6, Issue 1, December 2026.ABSTRACT Breast cancer is still a serious problem in the world arena, where its early and prompt detection is the most important factor in improving patient prognosis and survival. The use of traditional diagnostic techniques, such as imaging (e.g., mammography and ultrasound) and subsequent histopathological examination, is the mainstay, which ...
Likhon Chandra Sarkar +6 more
wiley +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces
Journal of Graph Theory, Volume 112, Issue 4, Page 491-506, August 2026.ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) is said to be ( X , Y )‐embeddable if any set of induced edge lengths from an embedding of G into a ...
Sean Dewar +3 more
wiley +1 more source
On Effros continua and the uniform property of Effros
Revista IntegraciónWe recall a theorem by E. G. Effros about the actions of a separable complete metric group acting transitively on a complete metric space. We consider the definition, by D. P. Bellamy and K. F.
Sergio Macías
doaj
Well-Posedness of the Fixed Point Problem of Multifunctions of Metric Spaces
MathematicsWe consider a class of metrics which are equivalent to the Hausdorff metric in some sense to establish the well-posedness of fixed point problems associated with multifunctions of metric spaces, satisfying various generalized contraction conditions ...
Nozara Sundus, Basit Ali, Maggie Aphane
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