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Discrete Structures

open access: yes, 2004
CSC 133. Discrete Structures (4) Prerequisite: MAT 111 or MAT 115, or equivalent. Introduction to discrete mathematics applicable to computer science. Propositional and predicate logic, basic proof techniques, set algebra and Boolean algebra, recursion ...
Norris, Fletcher
core   +5 more sources

Discrete orthogonal structures

open access: yesComputers & Graphics, 2023
To represent smooth geometric shapes by coarse polygonal meshes, visible edges often follow special families of curves on a surface to achieve visually pleasing results. Important examples of such families are principal curvature lines, asymptotic lines or geodesics. In a surprisingly big amount of use-cases, these curves form an orthogonal net.
Felix Dellinger, Xinye Li, Hui Wang 0064
openaire   +2 more sources

The Combined Finite/Discrete Element Method in Transient Dynamics of Reinforced Concrete Structures under Blast Loading [PDF]

open access: yes, 2004
PhDThe research here presented has employed the newly evolved finite-discrete element method in the development of novel numerical solutions for the analysis of failure and collapse of reinforced concrete structures under hazardous blast loads.
Bangash, Tehmiryar
core   +4 more sources

Discrete structures in gravity [PDF]

open access: yesJournal of Mathematical Physics, 2000
Discrete approaches to gravity, both classical and quantum, are reviewed briefly, with emphasis on the method using piecewise-linear spaces. Models of three-dimensional quantum gravity involving 6j-symbols are then described, and progress in generalizing these models to four dimensions is discussed, as is the relationship of these models in both three ...
REGGE, Tullio, WILLIAMS R. M.
openaire   +4 more sources

Discrete Structure of the Brain Rhythms [PDF]

open access: yesScientific Reports, 2019
AbstractNeuronal activity in the brain generates synchronous oscillations of the Local Field Potential (LFP). The traditional analyses of the LFPs are based on decomposing the signal into simpler components, such as sinusoidal harmonics. However, a common drawback of such methods is that the decomposition primitives are usually presumed from the onset,
Perotti, L.   +3 more
openaire   +3 more sources

On structure of discrete Muckenhoupt and discrete Gehring classes

open access: yesJournal of Inequalities and Applications, 2020
AbstractIn this paper, we study the structure of the discrete Muckenhoupt class $\mathcal{A}^{p}(\mathcal{C})$ A p ( C ) and the discrete Gehring class $\mathcal{G}^{q}(\mathcal{K})$
S. H. Saker   +3 more
openaire   +3 more sources

Topics in structure-preserving discretization [PDF]

open access: yesActa Numerica, 2011
In the last few decades the concepts of structure-preserving discretization, geometric integration and compatible discretizations have emerged as subfields in the numerical approximation of ordinary and partial differential equations. The article discusses certain selected topics within these areas; discretization techniques both in space and time are ...
Snorre H. Christiansen   +2 more
openaire   +3 more sources

Structure of random discrete spacetime [PDF]

open access: yesPhysical Review Letters, 1991
Summary: The usual picture of spacetime consists of a continuous manifold, together with a metric of Lorentzian signature which imposes a causal structure. We consider a model in which spacetime consists of a discrete set of points taken at random from a manifold, with only the causal structure remaining.
Brightwell, Graham, Gregory, Ruth
openaire   +3 more sources

CS 1200: Introduction to Discrete Structures [PDF]

open access: yes, 2013
Introduction to discrete structures as relevant for computer science. Emphasis on developing a working knowledge of basic mathematical notation and manipulation with discrete ...
Miranda, Analee Marlenee
core   +5 more sources

Effect of discrete resonant manifold structure on discrete wave turbulence [PDF]

open access: yesPhysical Review E, 2020
We consider the long-term dynamics of nonlinear dispersive waves in a finite periodic domain. The purpose of the work is to show that the statistical properties of the wave field rely critically on the structure of the discrete resonant manifold (DRM).
Alexander Hrabski, Yulin Pan
openaire   +3 more sources

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