Results 31 to 40 of about 4,352 (292)
Betweenness in graphs: A short survey on shortest and induced path betweenness
AKCE International Journal of Graphs and Combinatorics, 2019 Betweenness is a universal notion present in several disciplines of mathematics. The notion of betweenness has a profound history and many pioneers like Euclid, Pasch, Hilbert have studied betweenness axiomatically.
Manoj Changat +2 more
doaj +2 more sources
AI‐Driven Cancer Multi‐Omics: A Review From the Data Pipeline Perspective
Advanced Intelligent Discovery, EarlyView.The exponential growth of cancer multi‐omics data brings opportunities and challenges for precision oncology. This review systematically examines AI's role in addressing these challenges, covering generative models, integration architectures, Explainable AI for clinical trust, clinical applications, and key directions for clinical translation.
Shilong Liu, Shunxiang Li, Kun Qian
wiley +1 more source
Axiomatic characterization of the interval function of partial cubes and partial Hamming graphs
AKCE International Journal of Graphs and CombinatoricsInterval function of a graph is a well-known notion in metric graph theory and the axiomatic characterization using a set of first order axioms of different graph classes is an interesting problem in this area.
Jeny Jacob +4 more
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The method of averaging and functional differential equations with delay
International Journal of Mathematics and Mathematical Sciences, 2001 We present a natural extension of the method of averaging to fast oscillating functional differential equations with delay. Unlike the usual approach where the analysis is kept in an infinite-dimensional Banach space, our analysis is achieved in ℝn.
Mustapha Lakrib
doaj +1 more source
Advanced Intelligent Systems, EarlyView.An instance‐level, model‐agnostic explanation of class differentiation is introduced through SHAP‐LCD, linking probability shifts to feature‐wise Shapley contributions. The method operates on tabular and image data and is released in a fully reproducible implementation, offering a transparent way to examine, at each instance, why predictive models ...
Roxana M. Romero Luna +2 more
wiley +1 more source
Pro and Contra Hilbert: Zermelo’s Set Theories
Philosophia Scientiæ, 2005 Zermelo’s research on set theory and the foundations of mathematics was concentrated in two periods: 1901 to 1910 and 1927 to 1935. They correspond to two specific periods of research on the foundations of mathematics by David Hilbert and his ...
Volker Peckhaus
doaj +1 more source
Accounting for animal health in efficiency analysis: An application to Swedish dairy farms
American Journal of Agricultural Economics, EarlyView.Abstract Poor animal health is a central concern in modern livestock production. Despite the necessity to incorporate animal health in efficiency analysis, the theoretical and empirical developments are limited on this subject. This article appropriately characterizes the axiomatic properties of animal health within a production framework.
Frederic Ang +3 more
wiley +1 more source
Perpendicularity in an Abelian Group
International Journal of Mathematics and Mathematical Sciences, 2013 We give a set of axioms to establish a perpendicularity relation in an Abelian group and then study the existence of perpendicularities in (ℤn,+) and (ℚ+,·) and in certain other groups.
Pentti Haukkanen +3 more
doaj +1 more source
An Overview of the Fuzzy Axiomatic Systems and Characterizations Proposed at Ghent University
Axioms, 2016 During the past 40 years of fuzzy research at the Fuzziness and Uncertainty Modeling research unit of Ghent University several axiomatic systems and characterizations have been introduced. In this paper we highlight some of them. The main purpose of this
Etienne E. Kerre +2 more
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