Results 61 to 70 of about 1,232 (194)
A note on hyper-plane arrangements in R^d [PDF]
Discrete Mathematics Letters, 2021 Nhattrieu Duong +3 more
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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 +4 more sources
Hyperplane Arrangements of Trained ConvNets Are Biased [PDF]
, 2023 We investigate the geometric properties of the functions learned by trained ConvNets in the preactivation space of their convolutional layers, by performing an empirical study of hyperplane arrangements induced by a convolutional layer.
Björkman, Mårten +3 more
core +1 more source
Wildlife Biology, EarlyView.Exploration of new wildlife surveying methodologies that leverage advances in sensor technology and machine learning has led to tentative research into the application of seismology techniques. This, most commonly, involves the deployment of a footfall trap – a seismic sensor and data logger customised for wildlife footfall.
Benjamin J. Blackledge +4 more
wiley +1 more source
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
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Probing the arrangement of hyperplanes
Discrete Applied Mathematics, 1995 The paper contains results about the combinatorial complexity of the geometry and topology related to an arrangement \(H\) of hyperplanes, obtained by the operation of ``probing'' by a flat \(F\) (using the respective intersection of \(H\) and \(F)\).
openaire +2 more sources
Advanced Oncology, Volume 1, Issue 1, December 2026.This study develops a dynamic surface‐enhanced Raman scattering (D‐SERS) platform integrating multiscale nanoparticle geometry, quantum dot coupling, surface‐energy programming, and a multilayer perceptron model for AI‐assisted classification. It enables ultrahigh sensitivity, noninvasive detection, and specific Helicobacter pylori identification.
Ming‐Chang Lu +4 more
wiley +1 more source
Critical Points and Resonance of Hyperplane Arrangements [PDF]
, 2011 If is a master function corresponding to a hyperplane arrangement 𝒜 and a collection of weights ⋋, we investigate the relationship between the critical set of , the variety defined by the vanishing of the one-form ⩊⋋ = d log , and the resonance of ...
Varchenko, A. +7 more
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Computational and Systems Oncology, Volume 6, Issue 1, December 2026.ABSTRACT Breast cancer is still a serious problem in the world arena, where its early and prompt detection is the most important factor in improving patient prognosis and survival. The use of traditional diagnostic techniques, such as imaging (e.g., mammography and ultrasound) and subsequent histopathological examination, is the mainstay, which ...
Likhon Chandra Sarkar +6 more
wiley +1 more source