Results 31 to 40 of about 623,025 (279)

Discrete Geometry from Quantum Walks

open access: yesCondensed Matter, 2019
A particular family of Discrete Time Quantum Walks (DTQWs) simulating fermion propagation in 2D curved space-time is revisited. Usual continuous covariant derivatives and spin-connections are generalized into discrete covariant derivatives along the ...
Fabrice Debbasch
doaj   +1 more source

Integrable Systems and Discrete Geometry

open access: yes, 2005
This is an expository article for Elsevier's Encyclopedia of Mathematical Physics on the subject in the title.
Akhmetshin   +15 more
core   +1 more source

A General Version of the Nullstellensatz for Arbitrary Fields

open access: yesOpen Mathematics, 2019
We prove a general version of Bezout’s form of the Nullstellensatz for arbitrary fields. The corresponding sufficient and necessary condition only involves the local existence of multi-valued roots for each of the polynomials belonging to the ideal in ...
Gallego Edisson   +2 more
doaj   +1 more source

Research on 7-distance set with DG(XD)=C11

open access: yesJournal of Hebei University of Science and Technology, 2016
A planar point set X is called a k-distance set if there are exactly k distances between two distinct points in X. Let d(x,y) be the distance of any two distinct points x,y. Let diameter D=D(X) be the longest distance of X.
Qi WANG, Yue CONG, Feixing GAO
doaj   +1 more source

Geometry of discrete-time spin systems

open access: yes, 2015
Classical Hamiltonian spin systems are continuous dynamical systems on the symplectic phase space $(S^2)^n$. In this paper we investigate the underlying geometry of a time discretization scheme for classical Hamiltonian spin systems called the spherical ...
McLachlan, Robert I.   +2 more
core   +1 more source

Fast domino tileability [PDF]

open access: yes, 2016
Domino tileability is a classical problem in Discrete Geometry, famously solved by Thurston for simply connected regions in nearly linear time in the area.
Pak, Igor, Sheffer, Adam, Tassy, Martin
core   +3 more sources

Enzymatic degradation of biopolymers in amorphous and molten states: mechanisms and applications

open access: yesFEBS Open Bio, EarlyView.
This review explains how polymer morphology and thermal state shape enzymatic degradation pathways, comparing amorphous and molten biopolymer structures. By integrating structure–reactivity principles with insights from thermodynamics and enzyme engineering, it highlights mechanisms that enable efficient polymer breakdown.
Anđela Pustak, Aleksandra Maršavelski
wiley   +1 more source

ESTIMATING TORSION OF DIGITAL CURVES USING 3D IMAGE ANALYSIS

open access: yesImage Analysis and Stereology, 2016
Curvature and torsion of three-dimensional curves are important quantities in fields like material science or biomedical engineering. Torsion has an exact definition in the continuous domain.
Christoph Blankenburg   +2 more
doaj   +1 more source

Noncommutative Geometry and The Ising Model

open access: yes, 1992
The main aim of this work is to present the interpretation of the Ising type models as a kind of field theory in the framework of noncommutative geometry.
A Sitarz   +7 more
core   +2 more sources

Simplicial Ricci Flow: An Example of a Neck Pinch Singularity in 3D [PDF]

open access: yes, 2014
We examine a Type-1 neck pinch singularity in simplicial Ricci flow (SRF) for an axisymmetric piecewise flat 3-dimensional geometry with 3-sphere topology. SRF was recently introduced as an unstructured mesh formulation of Hamilton's Ricci flow (RF).
Alsing, Paul M.   +6 more
core   +1 more source

Home - About - Disclaimer - Privacy