Results 1 to 10 of about 74,852 (243)
Residential proximity to nuclear power plants and cancer incidence in Massachusetts, USA (2000–2018) [PDF]
Environmental HealthPurpose To investigate the associations between residential proximity to nuclear power plants and ZIP code–level cancer incidence among Massachusetts residents.
Yazan Alwadi +6 more
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Tilings, Quasicrystals, Discrete Planes, Generalized Substitutions, and Multidimensional Continued Fractions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 The aim of this paper is to give an overview of recent results about tilings, discrete approximations of lines and planes, and Markov partitions for toral automorphisms.The main tool is a generalization of the notion of substitution.
Pierre Arnoux +3 more
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Hyperelliptic continued fractions and generalized Jacobians [PDF]
American Journal of Mathematics, 2019 For a complex polynomial $D(t)$ of even degree, one may define the continued fraction of $\sqrt{D(t)}$. This was found relevant already by Abel in 1826, and later by Chebyshev, concerning integration of (hyperelliptic) differentials; they realized that, contrary to the classical case of square roots of positive integers treated by Lagrange and Galois ...
Capuano, Laura +3 more
openaire +4 more sources
Computational Triangulation in Mathematics Teacher Education
Computation, 2023 The paper is written to demonstrate the applicability of the notion of triangulation typically used in social sciences research to computationally enhance the mathematics education of future K-12 teachers. The paper starts with the so-called Brain Teaser
Sergei Abramovich
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Mathematics, 2022 The paper promotes the notion of computational experiment supported by a multi-tool digital environment as a means of the development of new mathematical knowledge in the context of education. The main study of the paper deals with the issues of teaching
Sergei Abramovich
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An effective criterion for periodicity of l-adic continued fractions [PDF]
, 2018 The theory of continued fractions has been generalized to l-adic numbers by several authors and presents many differences with respect to the real case.
Capuano, Laura +2 more
core +5 more sources
Repdigits as Product of Terms of k-Bonacci Sequences
Mathematics, 2021 For any integer k≥2, the sequence of the k-generalized Fibonacci numbers (or k-bonacci numbers) is defined by the k initial values F−(k−2)(k)=⋯=F0(k)=0 and F1(k)=1 and such that each term afterwards is the sum of the k preceding ones.
Petr Coufal, Pavel Trojovský
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PLoS ONE, 2023 ObjectivesE-cigarettes pose significant risks to youth, but smokers may benefit from switching to e-cigarettes by reducing their exposure to toxicants, which creates a challenge for the Food and Drug Administration (FDA) in regulating e-cigarettes to ...
Yoo Jin Cho +8 more
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Generalized continued fractions: a unified definition and a Pringsheim-type convergence criterion
Advances in Difference Equations, 2019 In the literature, many generalizations of continued fractions have been introduced, and for each of them, convergence results have been proved. In this paper, we suggest a definition of generalized continued fractions which covers a great variety of ...
Hendrik Baumann
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On convergence of generalized continued fractions and Ramanujan's conjecture [PDF]
, 2004 We consider continued fractions \frac{-a_1}{1-\frac{a_2}{1-\frac{a_3}{1-...}}} \label{fr} with real coefficients $a_i$ converging to a limit $a$. S.Ramanujan had stated the theorem (see [ABJL], p.38) saying that if $a\neq\frac14$, then the fraction ...
Glutsyuk, A. A.
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