Results 101 to 110 of about 1,944,105 (329)

Riemannian Holonomy and Algebraic Geometry

open access: yes, 1999
This survey paper is devoted to Riemannian manifolds with special holonomy. To any Riemannian manifold of dimension n is associated a closed subgroup of SO(n), the holonomy group; this is one of the most basic invariants of the metric.
Beauville, A.
core   +2 more sources

On the Representation of the Lattices of the Algebraic Sets of the Universal Algebras

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2019
The concept of an algebraic set is a basic concept of the classical algebraic geometry over fields. This concept, along with the concept of an algebraic lattice of algebraic sets is the basic concept of so-called algebraic geometry of universal algebras.
A.G. Pinus
doaj   +1 more source

Lost in Translation: Harmonizing Terminology and Defining Mathematical Tools for Panel Optimization

open access: yesCytometry Part A, EarlyView.
ABSTRACT Spectral flow cytometry has evolved from a contentious idea into a mainstay of high‐parameter single‐cell analysis, yet its vocabulary (and the statistical reasoning behind it) remains a patchwork of overlapping, sometimes contradictory terms.
Bartek Rajwa, Mario Roederer
wiley   +1 more source

Poisson geometry and Azumaya loci of cluster algebras [PDF]

open access: green, 2022
Greg Muller   +3 more
openalex   +1 more source

Algebraic geometry of crossed products

open access: yes, 2013
For projective variety X we introduce a C*-algebra A_X defined as the norm-closure of representation of the twisted homogeneous coordinate ring of X by the linear operators on a Hilbert space H.
Nikolaev, Igor
core  

THE ANALYSIS OF IMAGES IN N-POINT GRAVITATIONAL LENS BY METHODS OF ALGEBRAIC GEOMETRY

open access: yesActa Polytechnica, 2017
This paper is devoted to the study of images in N-point gravitational lenses by methods of algebraic geometry. In the beginning, we carefully define images in algebraic terms.
Albert Kotvytskiy   +2 more
doaj   +1 more source

Study on fracture parameter calibration and failure characteristics of rock with hole and crack

open access: yesDeep Underground Science and Engineering, EarlyView.
The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
wiley   +1 more source

Review and prospects of shear test of bolted rock joints

open access: yesDeep Underground Science and Engineering, EarlyView.
The laboratory shear test equipment, test method, and numerical simulation of bolted rock joints were summarized. The shortcomings and limitations of the current research were analyzed, and the research prospects were proposed. Abstract Rock bolting is a critical approach in geotechnical engineering for supporting weak rocks.
Shulin Ren   +4 more
wiley   +1 more source

Advection‐Pressure Splitting Schemes Applied to a Non‐Conservative 1D Blood Flow Model With Transport for Arteries and Veins

open access: yesInternational Journal for Numerical Methods in Fluids, EarlyView.
We introduce new efficient and accurate first order finite volume‐type numerical schemes, for the non‐conservative one‐dimensional blood flow equations with transport, taking into account different velocity profiles. The framework is the flux‐vector splitting approach of Toro and Vázquez‐Cendón (2012), that splits the system in two subsystems of PDEs ...
Alessandra Spilimbergo   +3 more
wiley   +1 more source

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