Results 41 to 50 of about 312,013 (185)
Face Counting for Topological Hyperplane Arrangements [PDF]
, 2023 Determining the number of pieces after cutting a cake is a classical problem. Roberts (1887) provided an exact solution by computing the number of chambers contained in a plane cut by lines.
Randriamaro, Hery
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A Geometric Characterization of Steady Laminar Flow
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
wiley +1 more source
On contact loci of hyperplane arrangements
Advances in Applied Mathematics, 2022 We give an explicit expression for the contact loci of hyperplane arrangements and show that their cohomology rings are combinatorial invariants. We also give an expression for the restricted contact loci in terms of Milnor fibers of associated hyperplane arrangements.
Budur, Nero, Tran, Quang Tue
openaire +5 more sources
Pythagorean Hyperplane Arrangements: Combinatorics of Gain Genericity
, 2023 We study Pythagorean hyperplane arrangements, originally defined by Zaslavsky. In this first part of a series on such arrangements, we introduce a new notion of genericity for such arrangements.
Eppolito, Chris
core
A note on hyper-plane arrangements in R^d [PDF]
Discrete Mathematics Letters, 2021 Nhattrieu Duong +3 more
doaj +1 more source
Supervised Protein Structure Classification Using Topological Persistence With DeltaFold
Proteins: Structure, Function, and Bioinformatics, EarlyView.ABSTRACT Recent advances in protein structure prediction have considerably increased the number of available structures, underscoring the need for scalable and accurate methods to compare and classify this huge amount of data. Current approaches based on sequence alignment or structural superposition often lack sensitivity and/or are computationally ...
Joseph Nardin‐Gennequin +3 more
wiley +1 more source
Face monoid actions and tropical hyperplane arrangements [PDF]
, 2017 We study the combinatorics of tropical hyperplane arrangements, and their relationship to (classical) hyperplane face monoids. We show that the refinement operation on the faces of a tropical hyperplane arrangement, introduced by Ardila and Develin in ...
Kambites, Mark +3 more
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Journal of Field Robotics, EarlyView.ABSTRACT Drone light shows (DLShows) represent a rapidly growing application of swarm robotics, creating captivating aerial displays through the synchronized flight of hundreds or thousands of unmanned aerial vehicles (UAVs) as environmentally friendly and reusable alternatives to traditional pyrotechnics.
Yunes Alqudsi
wiley +1 more source
New characterizations of freeness for hyperplane arrangements [PDF]
, 2019 In this article, we describe two new characterizations of freeness for hyperplane arrangements via the study of the generic initial ideal and of the sectional matrix of the Jacobian ideal of ...
Torielli, Michele +2 more
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Morphisms and Order Ideals of Toric Posets
Mathematics, 2016 Toric posets are in some sense a natural “cyclic” version of finite posets in that they capture the fundamental features of a partial order but without the notion of minimal or maximal elements.
Matthew Macauley
doaj +1 more source