Results 271 to 280 of about 141,490 (312)
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Error floors and finite geometries
2014 8th International Symposium on Turbo Codes and Iterative Information Processing (ISTC), 2014The structure of certain subgraphs of the Tanner graph of an LDPC code, the trapping sets, has been identified as important for the error floor performance of iterative decoding algorithms. To investigate such sets requires the parity check matrix of the code to be generated with sufficient structure that allows useful information to be obtained while ...
Shu Lin 0001, Qiuju Diao, Ian F. Blake
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2005
Abstract In Section 4.2 it was shown how to embed R2 into the projective plane P2 by writing x = X/Z and y = Y /Z, and making the equations of lines and curves homogeneous in X, Y , and Z. The points (x, y, z) and (kx, ky, kz) (k = 0) are identiFB01ed as the same point.
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Abstract In Section 4.2 it was shown how to embed R2 into the projective plane P2 by writing x = X/Z and y = Y /Z, and making the equations of lines and curves homogeneous in X, Y , and Z. The points (x, y, z) and (kx, ky, kz) (k = 0) are identiFB01ed as the same point.
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Applications of Finite Fields to Combinatorics and Finite Geometries
Acta Applicandae Mathematicae, 2006This paper on applications of finite fields to combinatorics and finite geometry is in three parts. In the first part the author obtains a bound on the degree of a polynomial \(f\in F[x_1,\dots,x_n]\), \(F= \text{GF}(q)\) satisfying some local conditions with respect to its action on the points of the \(n\)-dimensional affine space AG\((n, F)\).
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The Geometry of Finite Markov Chains
Canadian Mathematical Bulletin, 1965The purpose of this paper is to present a geometric theorem which provides a proof of a fundamental theorem of finite Markov chains.The theorem, stated in matrix theoretic terms, concerns the asymptotic behaviour of the powers of an n by n stochastic matrix, that is, a matrix of non-negative entries each of whose row sums is 1.
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Finite Geometry by Coordinate Methods
The Mathematical Gazette, 1953This paper was originally planned as an exposition of finite geometry in a form in which it could be used to illustrate all the work covered in the normal school geometry course. The beginning of it, however, was anticipated by an article for the Gazette by Mr. H.
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2010
In our representations of the world, especially in physics, (mathematical) infinities play a crucial role. The continuum of the real numbers, R, as a representation of time or of one-dimensional space is surely the best known example and, by extension, the n-fold cartesian product, Rn, for n-dimensional space.
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In our representations of the world, especially in physics, (mathematical) infinities play a crucial role. The continuum of the real numbers, R, as a representation of time or of one-dimensional space is surely the best known example and, by extension, the n-fold cartesian product, Rn, for n-dimensional space.
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Influence of Fracture Geometry on the Krauklis Wave in Finite Fractures
Journal of Geotechnical and Geoenvironmental Engineering - ASCE, 2021Pinbo Ding, Li Xiang-Yang
exaly