A novel theoretical framework formulated for information discovery from number system and Collatz conjecture data [PDF]
, 2015 Newly discovered fundamental theories (metamathematics) of integer numbers may be used to formalise and formulate a new theoretical number system from which other formal analytical frameworks may be discovered, primed and developed.
Idowu, Michael A.
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Number theory in secondary schools’ mathematics
Lietuvos matematikos rinkinys, 2021 Schools’ curricula are analyzed in terms of Number Theory. We deduce, that the concept of number is first and main in secondary schools’ Mathematics. The problems of divisibility of numbers are also discussed, the examples of such problems are given.
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Ring Learning With Errors: A crossroads between postquantum cryptography, machine learning and number theory [PDF]
, 2020 The present survey reports on the state of the art of the different cryptographic functionalities built upon the ring learning with errors problem and its interplay with several classical problems in algebraic number theory.
Chacón, Iván Blanco
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Universal arrows to forgetful functors from categories of topological algebra [PDF]
, 1992 We survey the present trends in theory of universal arrows to forgetful functors from various categories of topological algebra and functional analysis to categories of topology and topological algebra.
Pestov, Vladimir G.
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Homotopy classification of nanophrases with less than or equal to four letters [PDF]
, 2008 In this paper we give the stable classification of ordered, pointed, oriented multi-component curves on surfaces with minimal crossing number less than or equal to 2 such that any equivalent curve has no simply closed curves in its components. To do this,
Fukunaga, Tomonori
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Mathematically gifted and talented learners: Theory and practice [PDF]
, 2009 This is an Author's Accepted Manuscript of an article published in International Journal of Mathematical Education in Science and Technology, 40(2), 213-228, 2009, copyright Taylor & Francis, available online at: http://www.tandfonline.com/10.1080 ...
Aiken LR +32 more
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Local Availability of mathematics and number scaling: Effects on quantum physics
, 2012 Local availability of mathematics and number scaling provide an approach to a coherent theory of physics and mathematics. Local availability of mathematics assigns separate mathematical universes, U_{x}, to each space time point, x.
Benioff, Paul
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In defense of intuitive mathematical theories as the basis for natural number
Behavioral and Brain Sciences, 2008 AbstractThough there are holes in the theory of how children move through stages of numerical competence, the current approach offers the most promising avenue for characterizing changes in competence as children confront new mathematical concepts. Like the science of mathematics, children's discovery of number is rooted in intuitions about sets, and ...
UCSD Language and Development Lab +1 more
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A result on polynomials derived via graph theory
, 2019 We present an example of a result in graph theory that is used to obtain a result in another branch of mathematics. More precisely, we show that the isomorphism of certain directed graphs implies that some trinomials over finite fields have the same ...
Coulter, Robert S. +3 more
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Summing Squares and Cubes of Integers [PDF]
, 2015 Recreational mathematics can provide students with opportunities to explore mathematics in meaningful ways. Elementary number theory is one area of mathematics that lends itself readily to recreational mathematics.
Minor, Darrell
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