Výsledky vyhledávání - "Bruen, Aiden A."

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The Extension of the Desargues Theorem, the Converse, Symmetry and Enumeration

Autor: Bruen, Aiden A

This work is, in part, a generalization of the article by A.A. Bruen ,T.C Bruen and J.M.McQuillan on Desargues Theorem in arXiv:2007.09175[mathCO]July 17,2020. We prove the extension of Desargues theorem in all dimensions, using 4 different arguments

Externí odkaz: http://arxiv.org/abs/2302.03243

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Elektronická kniha

Cryptography, information theory, and error-correction : a handbook for the 21st century / Aiden A. Bruen, Mario A. Forcinito. [electronic resource]

Autor: Bruen, Aiden A., 1941-, author

Externí odkaz: Kolekce e-knih KNAV Registrovani uzivatele: plny text online 5 minut, dalsi pristup na vyzadani. Registered users: full text online 5 minutes, further access on request.

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New identities for the Shannon function and applications

Autor: Bruen, Aiden A

We show how the Shannon entropy function H(p,q)is expressible as a linear combination of other Shannon entropy functions involving quotients of polynomials in p,q of degree n for any given positive integer n. An application to cryptographic keys is p

Externí odkaz: http://arxiv.org/abs/2102.12692

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Desargues theorem, its configurations, and the solution to a long-standing enumeration problem

Autor: Bruen, Aiden A., Bruen, Trevor C., McQuillan, James M.

We solve a long-standing problem by enumerating the number of non-degenerate Desargues configurations. We extend the result to the more difficult case involving Desargues blockline structures in Section 8. A transparent proof of Desargues theorem in

Externí odkaz: http://arxiv.org/abs/2007.09175

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