Results 1 to 10 of about 416 (152)
Clinical Validation of a Handheld Deep Learning Tool for Identification of Glaucoma Medications [PDF]
Purpose: To validate a convolutional neural network (CNN)-based smartphone application for the identification of glaucoma eye drop medications in patients with normal and impaired vision.
Christopher D. Yang +5 more
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Fixed point theorems for Geraghty-type mappings applied to solving nonlinear Volterra-Fredholm integral equations in modular G-metric spaces [PDF]
Purpose – The authors prove the existence and uniqueness of fixed point of mappings satisfying Geraghty-type contractions in the setting of preordered modular G-metric spaces.
Godwin Amechi Okeke, Daniel Francis
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On nominal sets with support-preorder [PDF]
Each nominal set 𝑋 can be equipped with a preorder relation ⪯ defined by the notion of support, so-called support-preorder. This preorder also leads us to the support topology on each nominal set.
Aliyeh Hossinabadi +2 more
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Updating Utility Functions on Preordered Sets
We consider the problem of extending a function fP defined on a subset P of an arbitrary set X to X strictly monotonically with respect to a preorder ≽ defined on X , without imposing continuity constraints.
Pavel Chebotarev
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Permutation Groups Generated by γ-Cycles
A γ-cycle is a cycle of the form (i+1,i+2,…,i+m) in the symmetric group Sn. We study the subgroups of Sn generated by several sets of γ-cycles. Our mathematical development is strongly supported by computational experiments and proofs based on do-it ...
Răzvan Diaconescu
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Equivalent Solutions of Nonlinear Equations in a Topological Vector Space with a Wedge
We obtain efficient conditions under which some or all solutions of a nonlinear equation in a topological vector space preordered by a closed wedge are comparable with respect to the corresponding preordering.
Rontó A, Šremr J
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Representations of ordered semigroups and the Physical concept of Entropy
The abstract concept of entropy is interpreted through the concept of numerical representation of a totally preordered set so that the concept of composition of systems or additivity of entropy can be analyzed through the study of additive ...
Juan C. Candeal +3 more
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Order compatibility for Cauchy spaces and convergence spaces
A Cauchy structure and a preorder on the same set are said to be compatible if both arise from the same quasi-uniform convergence structure on X. Howover, there are two natural ways to derive the former structures from the latter, leading to strong and
D. C. Kent, Reino Vainio
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Remarks on contractive type mappings
We present an analog of Banach’s fixed point theorem for C J M $CJM$ contractions in preordered metric spaces. These results substantially extend theorems of Ran and Reurings’ (Proc. Am. Math. Soc.
Jarosław Górnicki
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Normally preordered spaces and continuous multi-utilities
We study regular, normal and perfectly normal preorders by referring to suitable assumptions concerning the preorder and the topology of the space. We also present conditions for the existence of a countable continuous multi-utility representation, hence
Gianni Bosi +2 more
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