Results 31 to 40 of about 623,025 (279)
Discrete Geometry from Quantum Walks
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
This is an expository article for Elsevier's Encyclopedia of Mathematical Physics on the subject in the title.
Akhmetshin +15 more
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A General Version of the Nullstellensatz for Arbitrary Fields
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
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Research on 7-distance set with DG(XD)=C11
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
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Geometry of discrete-time spin systems
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
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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
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Enzymatic degradation of biopolymers in amorphous and molten states: mechanisms and applications
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
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
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Noncommutative Geometry and The Ising Model
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
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Simplicial Ricci Flow: An Example of a Neck Pinch Singularity in 3D [PDF]
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

