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A short history of algebraic statistics [PDF]
, 2008 In algebraic statistics, computational techniques from algebraic geometry become tools to address statistical problems. This, in turn, may prompt research in algebraic geometry. The basic ideas at the core of algebraic statistics will be presented. In
Eva Riccomagno, Riccomagno, Eva
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Algebraic Methods for Finite Linear Cellular Automata [PDF]
, 1996 PhDCellular automata are a simple class of extended dynamical systems which have been much studied in recent years. Linear cellular automata are the class of cellular automata most amenable to algebraic analytic treatments, algebraic techniques are ...
Dow, R. A.
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On Complex Numbers in Higher Dimensions
Axioms, 2022 The geometric approach to generalized complex and three-dimensional hyper-complex numbers and more general algebraic structures being based upon a general vector space structure and a geometric multiplication rule which was only recently developed is ...
Wolf-Dieter Richter
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Journal of Medives: Journal of Mathematics Education IKIP Veteran Semarang, 2023 This study focused on students’ inability to correctly use psychometric tests applied for complex numbers in the context of generating an Algebraic abelian group (closure, commutative, associatively, inverse, and identity).
Idowu Oluwaseun Longe +1 more
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Towards faster real algebraic numbers [PDF]
, 2003 This paper presents a new encoding scheme for real algebraic number manipulations which enhances current Axiom’s real closure. Algebraic manipulations are performed using different instantiations of sub-resultant-like algorithms instead of Euclidean-like
Rioboo, Renaud
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Quadratic forms and linear algebraic groups [PDF]
, 2009 Topics discussed at the workshop Quadratic Forms and Linear Algebraic Groups included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic groups and homogeneous varieties ...
Harbater, David +3 more
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On the algebraic numbers computable by some generalized Ehrenfest urns [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 This article deals with some stochastic population protocols, motivated by theoretical aspects of distributed computing. We modelize the problem by a large urn of black and white balls from which at every time unit a fixed number of balls are drawn and ...
Marie Albenque, Lucas Gerin
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Approximation of complex algebraic numbers by algebraic numbers of bounded degree [PDF]
, 2007 We investigate how well complex algebraic numbers can be approximated by algebraic numbers of degree at most n. We also investigate how well complex algebraic numbers can be approximated by algebraic integers of degree at most n+1.
Bugeaud, Yann, Evertse, Jan-Hendrik
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Ghost Numbers of Group Algebras [PDF]
Algebras and Representation Theory, 2014 28 pages; v2 improves introduction and has many other minor changes throughout.
Christensen, J. Daniel, Wang, Gaohong
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Partitions of numbers and the algebraic principle of Mersenne, Fermat and even perfect numbers [PDF]
Notes on Number Theory and Discrete MathematicsLet ρ be an odd prime greater than or equal to 11. In a previous work, starting from an M-cycle in a finite field 𝔽_ρ, it has been established how the divisors of Mersenne, Fermat and Lehmer numbers arise.
A. M. S. Ramasamy
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