Results 91 to 100 of about 983 (218)
Classical Diophantine equations [PDF]
, 1993 The author had initiated a revision and translation of "Classical Diophantine Equations" prior to his death. Given the rapid advances in transcendence theory and diophantine approximation over recent years, one might fear that the present work ...
Talent, Ross
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Real-world applications of number theory [PDF]
ریاضی و جامعهThe above abstract has been extracted by the translator from the original article (J. Klaška, Real-world applications of number theory, South Bohemia Mathematical Letters, 25 no.
Rahim Rahmati-Asghar
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A novel approach to perturbative calculations for a large class of interacting boson theories
Nuclear Physics B, 2018 We present a method of calculating the interacting S-matrix to an arbitrary perturbative order for a large class of boson interaction Lagrangians. The method takes advantage of a previously unexplored link between the n-point Green's function and a ...
Kamil Brádler
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Farey sequences and linear diophantine equations [PDF]
, 1993 This thesis introduces the concept of using Farey Sequence in obtaining particular solutions of Linear Diophantine Equations in two unknowns. The relationship between the mediant and adjacent Farey Fractions is shown.The thesis itself is based on the ...
Bautista, Peter Anthony D. +1 more
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Box Splines with Rational Directions and Linear Diophantine Equations [PDF]
, 1996 A necessary and sufficient condition for the linear independence of integer translates of Box splines with rational directions is presented in terms of intrinsic properties of the defining matrices.
Zhou, Ding-Xuan
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AppliedMathThis paper introduces a digital adaptive control framework for large-scale multivariable systems, integrating matrix linear Diophantine equations with block pole placement.
Belkacem Bekhiti +4 more
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Solution of an odds inversion problem [PDF]
Notes on Number Theory and Discrete MathematicsConsider the problem of determining the possible numbers of balls of two different colors in an urn such that if two are drawn out at random, the odds that they are different colors are a given value. We present a general solution of this problem for all
Robert K. Moniot
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On Systems of Linear Diophantine Equations [PDF]
Mathematics Magazine, 1996 Introduction Something happened to me recently I would wager has happened to many who read this note. Teaching a new topic, you cannot understand one of the proofs. Your first attempt to fill the gap fails. You look through your books for an answer. Next, you ask colleagues, go to the library, maybe even use the interlibrary loan. All in vain.
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On Diophantine equations [PDF]
, 2004 In this thesis, we consider equations that are to be solved in the set of rational integers Z = {O, 1, 2, 3, }. In the first chapter, we look at linear Diophantine equations and other equations with fixed exponents.
Diaz, Robert
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Upper bound for the height of S-integral points on elliptic curves [PDF]
, 2013 We establish new upper bounds for the height of the S-integral points of an elliptic curve. This bound is explicitly given in terms of the set $S$ of places of the number field K involved,but also in terms of the degree of K, as well as the rank, the ...
Surroca, Andrea +3 more
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