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Associating Cognition With Amyloid Status Using Partially Ordered Set Analysis [PDF]
Frontiers in Neurology, 2019 Background: The presence of brain amyloid-beta positivity is associated with cognitive impairment and dementia, but whether there are specific aspects of cognition that are most linked to amyloid-beta is unclear.
Sarah J.A. Carr +18 more
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Partially homogeneous partially ordered sets
Journal of Combinatorial Theory, Series A, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dan Saracino, Carol Wood
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The number of partially ordered sets
Journal of Combinatorial Theory, Series B, 1972 Abstract An unsolved problem in combinatorial analysis asks for G ∗ (n) , the number of different partial orderings which may be defined on a finite set containing n elements [2]. In the present paper we shall give a partial solution to this problem by interpreting a partial order relation as a non-singular idempotent Boolean relation ...
Kim Ki-Hang Butler
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Matroids on Partially Ordered Sets
Advances in Applied Mathematics, 1998 The concept of a matroid is known to be a fundamental concept in combinatorics and it is also known to be ubiquitous in mathematics in general (e.g., stratification of Grassmanians, arrangements of hyperplanes, optimization). In the literature there exist attempts to generalize this concept.
Marilena Barnabei +2 more
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On Decompositions of Partially Ordered Sets [PDF]
Proceedings of the American Mathematical Society, 1964 E. S. Wolk
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A remark on the extension of the concept of incidence algebras to nonlocally finite partially ordered sets [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 An incidence algebra of a nonlocally finite partially ordered set Q is a very rare concept, perhaps nonexistent. In this note, we will attempt to construct such an algebra.
Boniface I. Eke
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Categories and General Algebraic Structures with Applications, 2023 Let A, B, C, and D be posets. Assume C and D are finite with a greatest element. Also assume that AC ≅B D. Then there exist posets E, X, Y , and Z such that A ≅E X, B ≅E Y , C≅Y ×Z, and D≅X×Z. If C≅D, then A≅B.
Jonathan Farley
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Does the endomorphism poset $P^P$ determine whether a finite poset $P$ is connected? An issue Duffus raised in 1978 [PDF]
Mathematica Bohemica, 2023 Duffus wrote in his 1978 Ph.D. thesis, "It is not obvious that $P$ is connected and $P^P\cong Q^Q$ imply that $Q$ is connected", where $P$ and $Q$ are finite nonempty posets.
Jonathan David Farley
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A Partial Order OWA Operator for Solving the OWA Weighing Dilemma
IEEE Access, 2023 Prior weights are necessary for the application of ordered weighted averaging (OWA) operators, but obtaining them is expensive and contentious, which restricts the application of operators.
Mingyu Li, Ruize Xu, Qinghua Chen
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Predicting Online Item-Choice Behavior: A Shape-Restricted Regression Approach
Algorithms, 2023 This paper examines the relationship between user pageview (PV) histories and their itemchoice behavior on an e-commerce website. We focus on PV sequences, which represent time series of the number of PVs for each user–item pair.
Naoki Nishimura +3 more
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