Results 111 to 120 of about 6,286 (306)
Fano and reflexive polytopes from Feynman integrals
Journal of High Energy PhysicsWe classify the Fano and reflexive polytopes that arise from quasi-finite Feynman integrals. These polytopes appear as scaled Minkowski sums of the Newton polytopes associated with the Symanzik graph polynomials.
Leonardo de la Cruz +2 more
doaj +1 more source
Model Theory and Differential Algebraic Geometry
, 2012 This thesis studies problems in differential algebraic geometry and model ...
James E. Freitag (7963802)
core
Vector bundles on manifolds: the cohomology of projective algebraic varieties [PDF]
, 2004 This Thesis looks at different areas of mathematics which require the notion of a differentiable manifold. The first three chapters contain various materials such as differentiable manifolds, submanifolds, tangent bundles, differential forms ...
Al-Ofi, Abdulaziz Slaim
core
Study on fracture parameter calibration and failure characteristics of rock with hole and crack
Deep 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
Journal of High Energy PhysicsStudying quantum field theories through geometric principles has revealed deep connections between physics and mathematics, including the discovery by Cachazo, Early, Guevara and Mizera (CEGM) of a generalization of biadjoint scalar amplitudes.
Nick Early
doaj +1 more source
Stacks in derived bornological geometry
In this thesis, we describe a higher categorical framework for discussing derived analytic and derived smooth geometry. Analogous to the Toën and Vezzosi model of derived algebraic geometry which uses simplicial commutative rings as its building blocks ...
Savage, Rhiannon
core +1 more source
Review and prospects of shear test of bolted rock joints
Deep 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
Extreme 5-dimensional black holes with SU(2)-symmetric horizons
Journal of High Energy PhysicsWe show that the near horizon geometry of 5-dimensional extreme (i.e., degenerate) stationary vacuum black holes, with or without cosmological constant, whose event horizons exhibit SU(2) symmetry must be that of a Berger sphere.
Eric Bahuaud +3 more
doaj +1 more source
Algebraic A-hypergeometric functions and their monodromy
, 2013 The study of hypergeometric functions started in 1813 with a paper by Gauss. Hypergeometric functions are generalizations of classical elementary functions such as arcsin and log.
Sub Algebra,Geometry&Mathem. Logic begr. +2 more
core
Earthquake Engineering &Structural Dynamics, EarlyView.ABSTRACT Multi‐supported non‐structural components (NSCs) are prone to seismic damage, yet their response prediction remains challenging when support motions are spatially incoherent. This study proposes an enhanced quasi‐static condensation (EQSC) method for linear, lightweight, dynamically detuned multi‐supported NSCs under the neglect of primary ...
Duozhi Wang +5 more
wiley +1 more source