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Rational Approximations to Certain Algebraic Numbers
, 2023 W.M.Schmit[11] conjectured that for any$\;\theta$ with deg$\;\theta\geq 3,$ there is no constant$\;C=C(\theta)$ so that$\;|p-q\theta|>Cq^{-1}$ for every rationa$\;p/q.$ [12,p26] states that the computations of the first several thousand partial quotients
Li, Jinxiang
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DiracQ: A Package for Algebraic Manipulation of Non-Commuting Quantum Variables
Journal of Open Research Software, 2015 In several problems of quantum many body physics, one is required to handle complex expressions originating in the non-commutative nature of quantum operators. Their manipulation requires precise ordering and application of simplification rules. This can
John G. Wright, B. Sriram Shastry
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An effective lower bound for the height of algebraic numbers [PDF]
, 2012 We prove that if $\alpha$ is a non-zero algebraic number of degree $d \geq 2$ which is not a root of unity, then $dh(\alpha)>(1/4) (\log(\log (d))/\log(d))^3.
P. Voutier
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Effective Irrationality Measures and Approximation by Algebraic Conjugates
, 2010 In this paper, we present a result on using algebraic conjugates to form a sequence of approximations to an algebraic number, and in this way obtain effective irrationality measures for related algebraic numbers.
Voutier, Paul
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Mental calculation skills and algebraic initiation: some relationships
Amazônia, 2014 This article identifies, understands and characterized previous knowledge of students from 6th and 7th grades in relation to mental calculation skills and how these are linked to the construction of tasks that start they in the field of algebra. This is
Célia Maria Carolino Pires +1 more
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The distribution of close conjugate algebraic numbers [PDF]
Compositio Mathematica, 2009 We investigate the distribution of real algebraic numbers of a fixed degree that have a close conjugate number, with the distance between the conjugate numbers being given as a function of their height.
V. Beresnevich, V. Bernik, F. Gotze
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Thue's Fundamentaltheorem, I: The General Case
, 2010 In this paper, Thue's Fundamentaltheorem is analysed. We show that it includes, and often strengthens, known effective irrationality measures obtained via the so-called hypergeometric method as well as showing that it can be applied to previously ...
Voutier, Paul
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Refined Literal Indeterminacy and the Multiplication Law of Sub-Indeterminacies [PDF]
Neutrosophic Sets and Systems, 2015 In this paper, we make a short history about: the neutrosophic set, neutrosophic numerical components and neutrosophic literal components, neutrosophic numbers, neutrosophic intervals, neutrosophic hypercomplex numbers of dimension n, and elementary ...
Florentin Smarandache
doaj
On Bicomplex Pell and Pell-Lucas Numbers
Communications in Advanced Mathematical Sciences, 2018 In this paper, bicomplex Pell and bicomplex Pell-Lucas numbers are defined. Also, negabicomplex Pell and negabicomplex Pell-Lucas numbers are given. Some algebraic properties of bicomplex Pell and bicomplex Pell-Lucas numbers which are connected between ...
Fügen Torunbalcı Aydın
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Revista Binacional Brasil - Argentina, 2020 This article discusses the teaching of algebra from the perspective of the development of algebraic thinking, based on activities in the 6th Mathematics textbook. Year in line with Mathematics Education. We investigated how
Márcia Azevedo Campos +1 more
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