Affecting the flow of a proof by creating presence—a case study in Number Theory
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DOI: 10.1007/s10649-016-9746-z
Abstract: The notion of flow of a proof encapsulates mathematical, didactical, and contextual aspects of proof presentation. A proof may have different flows, depending on the lecturer’s choices regarding its presentation. Adopting Perelman’s New Rhetoric (PNR)… read more here.
Keywords: case study; flow proof; proof; number theory ... See more keywords
SICs and Algebraic Number Theory
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DOI: 10.1007/s10701-017-0090-7
Abstract: We give an overview of some remarkable connections between symmetric informationally complete measurements (SIC-POVMs, or SICs) and algebraic number theory, in particular, a connection with Hilbert’s 12th problem. The paper is meant to be intelligible… read more here.
Keywords: sics algebraic; algebraic number; number theory;
Addendum to “Incarnations of Berthelot's conjecture” [J. Number Theory 166 (2016) 137–157]
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DOI: 10.1016/j.jnt.2017.07.010
Abstract: Abstract By combing Poincare duality for convergent higher direct images of a smooth and proper morphism, together with a theorem of Kedlaya on contagion of overconvergence and de Jong's alterations, we show that these higher… read more here.
Keywords: incarnations berthelot; number; number theory; berthelot conjecture ... See more keywords
Corrigendum to “A uniqueness property of general Dirichlet series” [J. Number Theory 206 (2020) 123–137]
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DOI: 10.1016/j.jnt.2020.02.002
Abstract: Abstract This corrigendum introduces an extra condition in the statement of Theorem 1.2 of the paper “A uniqueness property of general Dirichlet series”, published in the Journal of Number Theory, vol. 206, January 2020, 123–137.… read more here.
Keywords: property general; number; uniqueness property; number theory ... See more keywords
Dixon Factorization for a Number Theory or Cryptography Class
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DOI: 10.1080/10511970.2018.1471631
Abstract: Abstract In 1981 Dixon introduced a clever idea for factoring large numbers. This idea has become the basis for many current factoring techniques. In this paper, we show how to implement the idea on the… read more here.
Keywords: dixon factorization; theory cryptography; dixon; number theory ... See more keywords
Universal grey number theory for the uncertainty presence of wiper structural system
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DOI: 10.1108/aa-04-2020-0058
Abstract: Purpose This study aims to accurately evaluate the influence of various error intervals on the performance of the wiper. Design/methodology/approach The wiper structural system is decomposed into classical four-link planar for kinematics analysis, and it… read more here.
Keywords: grey number; universal grey; structural system; number theory ... See more keywords
Fuzzy Cognitive Maps Based on D-Number Theory
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DOI: 10.1109/access.2022.3187202
Abstract: In real life, there will be a lot of uncertainty problems, one of which is due to the vagueness of the concept of things, that is, it is difficult to determine whether an object conforms… read more here.
Keywords: cognitive maps; number theory; fuzzy cognitive; based number ... See more keywords
Energetic spectrum of a particle in three-dimensional infinite potential square well in point of view of number theory and Bayesian statistics
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DOI: 10.15598/aeee.v15i2.2248
Abstract: Using results of number theory we develop an approximate statistical model of energy levels of particles in a three-dimensional infinite potential well depending on whether there is exactly one particle or more than one particles… read more here.
Keywords: three dimensional; dimensional infinite; number; infinite potential ... See more keywords
Symmetry, Special Functions and Number Theory
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DOI: 10.3390/sym14112367
Abstract: This editorial is a short review of papers accepted in Symmetry in 2020–2022 about the topic of Number Theory [...] read more here.
Keywords: symmetry special; number theory; special functions; theory symmetry ... See more keywords