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Arnold's cat map is a particularly well-known example of a hyperbolic toral automorphism, which is an automorphism of a torus given by a square unimodular matrix having no eigenvalues of absolute value 1. [3] The set of the points with a periodic orbit is dense on the torus. Actually a point is periodic if and only if its coordinates are rational.
Arnold Ray Miller (April 25, 1923 – July 12, 1985) was a miner and labor activist who served as president of the United Mine Workers of America (UMWA), AFL–CIO, from 1972 to 1979. Winning as a reform candidate, he gained positive changes for the miners, including compensation for black lung disease.
A chemical graph generator is a software package to generate computer representations of chemical structures adhering to certain boundary conditions. The development of such software packages is a research topic of cheminformatics .
2020/4/30 Origin 2020b. Mini toolbar for worksheet & matrix, data connector navigator panel, browser graphs. Worksheet cells no longer showing ####. New Apps such as Canonical Correlation Analysis, Correlation plot etc. 2019/10/25 Origin 2020. Only provides 64 bit Origin & OriginPro. Mini toolbars, much faster import and plotting of large dataset.
In graph theory and computer science, an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether pairs of vertices are adjacent or not in the graph. In the special case of a finite simple graph, the adjacency matrix is a (0,1)-matrix with zeros on its diagonal.
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The goal of detection algorithms is simply to determine, given a sampled graph, whether the graph has latent community structure. More precisely, a graph might be generated, with some known prior probability, from a known stochastic block model, and otherwise from a similar Erdos-Renyi model. The algorithmic task is to correctly identify which ...
In graph theory, the Tutte matrix A of a graph G = (V, E) is a matrix used to determine the existence of a perfect matching: that is, a set of edges which is incident with each vertex exactly once. If the set of vertices is V = { 1 , 2 , … , n } {\displaystyle V=\{1,2,\dots ,n\}} then the Tutte matrix is an n -by- n matrix A with entries