Results 61 to 70 of about 1,230 (193)
Hyperplane Arrangements over the Ring of Integers Modulo N.
, 2023 Let V be a finite vector space of dimension n over the field K. A hyperplane in V is an n − 1 dimensional subspace of V defined by an equation of the form∑ni=1 aixi = 0, ai ∈ K, (x1, ..., xn) ∈ V .
Obeahon, Ehiareshan James
core +1 more source
Some structure theorems for Weingarten surfaces
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract Let M⊂R3$M\subset \mathbb {R}^3$ be a properly embedded, connected, complete surface with boundary a convex planar curve C$C$, satisfying an elliptic equation H=f(H2−K)$H=f(H^2-K)$, where H$H$ and K$K$ are the mean and the Gauss curvature, respectively—which we will refer to as Weingarten equation.
Angelo Benedetti
wiley +1 more source
Moduli Theory of the r-Braid Arrangement
Forum of Mathematics, SigmaWe describe a family of hyperplane arrangements depending on a positive integer parameter r, which we refer to as the r-braid arrangements, and which can be viewed as a generalization of the classical braid arrangement.
Vance Blankers +4 more
doaj +1 more source
An extended definition of Anosov representation for relatively hyperbolic groups
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley +1 more source
Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 3, May/June 2026.ABSTRACT In order to reflect the actual production situation more comprehensively and optimize the production cost, this paper solves the short‐term scheduling optimization problem for a single pipeline containing high melting point crude oil. Based on the refining plan given by the upper layer, a multi‐objective optimization model with high melting ...
Jing Yao +5 more
wiley +1 more source
Electrical Networks, Hyperplane Arrangements and Matroids [PDF]
, 2019 This thesis introduces a class of hyperplane arrangements, called Dirichlet arrangements, arising from electrical networks with Dirichlet boundary conditions.
Lutz, Robert
core
EEG Based Decoding of the Perception and Regulation of Taboo Words
Psychophysiology, Volume 63, Issue 5, May 2026.ABSTRACT Emotional meaning is often conveyed through language, and certain word categories, such as taboo words, can elicit strong affective responses that may require regulation. While taboo words are socially and psychologically salient, their neural processing remains to be fully explored.
Parisa Ahmadi Ghomroudi +6 more
wiley +1 more source
On the zone of a surface in a hyperplane arrangement [PDF]
Discrete & Computational Geometry, 1993 For a collection of \(n\) hyperplanes in \(\mathbb{R}^ d\) the complex of all open cells and their lower dimensional faces is called an arrangement. The collection of all those cells which are met by a set \(\sigma\) is called its zone and its complexity is the number of all the faces. Asymptotic estimates for the complexity are given the simplest, for
Boris Aronov +2 more
openaire +1 more source
Lorentzian homogeneous structures with indecomposable holonomy
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract For a Lorentzian homogeneous space, we study how algebraic conditions on the isotropy group affect the geometry and curvature of the homogeneous space. More specifically, we prove that a Lorentzian locally homogeneous space is locally isometric to a plane wave if it admits an Ambrose–Singer connection with indecomposable, non‐irreducible ...
Steven Greenwood, Thomas Leistner
wiley +1 more source
AI‐Enhanced Vibrational Capsule for Minimally Invasive Detection of Abnormal Bowel Tissue
Advanced Science, Volume 13, Issue 23, 23 April 2026.A fully integrated vibration‐assisted capsule is presented for the minimally invasive detection of bowel lesions. The capsule incorporates a wireless sensor and an eccentric motor to probe tissue mechanics in situ. By coupling triaxial vibration signals with AI‐based classification and analytical modeling, the system enables early, non‐visual ...
Xizheng Fang +6 more
wiley +1 more source