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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
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Discrete orthogonal structures
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
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The Combined Finite/Discrete Element Method in Transient Dynamics of Reinforced Concrete Structures under Blast Loading [PDF]
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
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Discrete structures in gravity [PDF]
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.
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Discrete Structure of the Brain Rhythms [PDF]
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
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On structure of discrete Muckenhoupt and discrete Gehring classes
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
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Topics in structure-preserving discretization [PDF]
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
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Structure of random discrete spacetime [PDF]
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
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CS 1200: Introduction to Discrete Structures [PDF]
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
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Effect of discrete resonant manifold structure on discrete wave turbulence [PDF]
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
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