Results 81 to 90 of about 1,504 (198)

Efficient physical embedding of topologically complex information processing networks in brains and computer circuits.

PLoS Computational Biology, 2010
Nervous systems are information processing networks that evolved by natural selection, whereas very large scale integrated (VLSI) computer circuits have evolved by commercially driven technology development.
Danielle S Bassett, Daniel L Greenfield, Andreas Meyer-Lindenberg, Daniel R Weinberger, Simon W Moore, Edward T Bullmore   +5 more
doaj   +1 more source

A Coarse Geometric Approach to Graph Layout Problems

Journal of Graph Theory, Volume 113, Issue 2, Page 169-194, October 2026.
ABSTRACT We define a range of new coarse geometric invariants based on various graph–theoretic measures of complexity for finite graphs, including treewidth, pathwidth, cutwidth and bandwidth. We prove that, for bounded degree graphs, these invariants can be used to define functions which satisfy a strong monotonicity property, namely, they are ...
Wanying Huang, David Hume, Samuel J. Kelly, Ryan Lam   +3 more
wiley   +1 more source

MR Imaging‐Based Biomarkers for Strength Prediction: A Statistical Shape and Architecture Modeling of Quadriceps Muscles

Journal of Magnetic Resonance Imaging, Volume 64, Issue 3, Page 685-698, September 2026.
ABSTRACT Background Muscle mass decline, associated with strength decline, is a hallmark of aging. Yet, strength decline greatly exceeds mass decline. This indicates that aspects of muscle quality and architecture—not reflected by mass—also influence force generating capacity.
Salim Bin Ghouth, Ozkan Cigdem, Valentina Mazzoli   +2 more
wiley   +1 more source

On the recovery of a curve isometrically immersed in a Euclidean space

Comptes Rendus. Mathématique, 2004
It is known from differential geometry that one can reconstruct a curve with n −1 prescribed curvature functions, if these functions can be differentiated a certain number of times in the usual sense and if the first n −2 functions are strictly positive.
openaire   +2 more sources

Geometry of essential matrix ranges and the Smith–Ward problem for operator systems

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract A d$d$‐tuple of bounded linear selfadjoint operators acting on an infinite‐dimensional separable Hilbert space is said to have the Smith–Ward property if the identity map of the image of the operator system in the Calkin algebra has a completely positive lift.
Douglas Farenick, Chi‐Kwong Li, Sushil Singla   +2 more
wiley   +1 more source

Isometric immersions into three‐dimensional unimodular metric Lie groups

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We study isometric immersions of surfaces into simply connected three‐dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left‐invariant metrics, assuming that Milnor's operator is diagonalizable in the Lorentzian case.
Ildefonso Castro, José M. Manzano, José S. Santiago   +2 more
wiley   +1 more source

CAT(0) spaces quasi-isometric to Euclidean spaces

We show that if a proper, geodesically complete, CAT(0) homology manifold is quasi-isometric to the Euclidean space R^n then it is homeomorphic to R^n. On the other hand, we show that there exist proper, geodesically complete, CAT(0) spaces quasi-isometric to R^n, which are not homeomorphic to it. We prove that our example is sharp in a suitable sense.
Cavallucci, Nicola, Sambusetti, Andrea
openaire   +2 more sources

Localization sequences for logarithmic topological cyclic homology

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes, Steffen Sagave, Christian Schlichtkrull   +2 more
wiley   +1 more source

Effective length‐projection bounds for hyperbolic 3‐manifolds diffeomorphic to S×R$S\times \mathbb {R}$

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We give a formula with explicit constants relating the subsurface projection dY(ν−,ν+)$d_Y(\nu ^-,\nu ^+)$ of the end invariants ν−,ν+$\nu ^-,\nu ^+$ of a hyperbolic 3‐manifold Q$Q$ diffeomorphic to S×R$S\times \mathbb {R}$ and the length of the geodesic representative in Q$Q$ of the multicurve ∂Y$\partial Y$.
Gabriele Viaggi
wiley   +1 more source

New Characterizations of Hyperspheres and Spherical Hypercylinders in Euclidean Space

Journal of Mathematics
Let x be an isometric immersion of a Riemannian n-manifold M into a Euclidean n+1-space En+1 which does not pass through the origin of En+1. Then, the tangential part of the position vector field x of x is called the canonical vector field, and the ...
Nasser Bin Turki, Sharief Deshmukh, Bang-Yen Chen   +2 more
doaj   +1 more source