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A Note on Numerical Representations of Nested System of Strict Partial Orders
Games, 2021 This note provides two numerical representations of a nested system of strict partial orders. The first representation is based on utility and threshold functions.
Dan Qin
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On Some Applications of Matrix Partial Orders in Statistics [PDF]
International Journal of Management, Knowledge and Learning, 2020 In statistics different partial orders appear as useful in several cases. Three of the best known partial orders defined on (sub)sets of real or complex matrices are the Löwner, the minus and the star partial orders.
Iva Golubić, Janko Marovt
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Entailment Relations on Distributions [PDF]
Electronic Proceedings in Theoretical Computer Science, 2016 In this paper we give an overview of partial orders on the space of probability distributions that carry a notion of information content and serve as a generalisation of the Bayesian order given in (Coecke and Martin, 2011).
John van de Wetering
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Core-EP-Nilpotent Decomposition and Its Applications
Journal of Mathematics, 2023 We give the illustration of a new decomposition: the core-EP-nilpotent decomposition, which is on the basis of the core-EP decomposition and EP-nilpotent decomposition for some square matrices in this thesis.
Yang Zhang, Zongyang Jiang
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Axioms, 2019 We present new results in interval analysis (IA) and in the calculus for interval-valued functions of a single real variable. Starting with a recently proposed comparison index, we develop a new general setting for partial order in the (semi linear ...
Luciano Stefanini +2 more
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Some Characterizations and Properties of a New Partial Order
Journal of Mathematics, 2020 On the basis of Löwner partial order and core partial order, we introduce a new partial order: LC partial order. By applying matrix decomposition, core inverse, core partial order, and Löwner partial order, we give some characteristics of LC partial ...
Xiaoji Liu, Fang Gui
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Partial coupling delay induced multiple spatiotemporal orders in a modular neuronal network. [PDF]
PLoS ONE, 2017 The influence of partial coupling delay on the spatiotemporal spiking dynamics is explored in a modular neuronal network. The modular neuronal network is composed of two subnetworks which present the small-world property and scale-free property ...
XiaoLi Yang, HuiDan Li, ZhongKui Sun
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The Annals of Probability, 1978 A probability measure $P$ on a partially ordered Polish space $E$ is called stochastically smaller than $Q$ (notation: $P \leqslant Q$) if $\int f dP \leqslant \int f dQ$ holds for all bounded increasing measurable $f$. We investigate the question when for a stochastically increasing family $\{P_t, t \in \mathbb{R}\}$ there exists an increasing process
Kamae, T., Krengel, U.
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The Phylogeny Graphs of Doubly Partial Orders
Discussiones Mathematicae Graph Theory, 2013 The competition graph of a doubly partial order is known to be an interval graph. The CCE graph and the niche graph of a doubly partial order are also known to be interval graphs if the graphs do not contain a cycle of length four and three as an induced
Park Boram, Sano Yoshio
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Lexicographic Partial Order [PDF]
Transactions of the American Mathematical Society, 1978 Given a (partially) ordered set P with the descending chain condition, and an ordered set Q, the set Q P {Q^P} of functions from P to Q has a natural lexicographic order, given by f ⩽ g f \leqslant g if and only if f ( y )
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