Results 81 to 90 of about 3,886,089 (197)
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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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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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.
openaire +1 more source
Diophantine equations involving factorials [PDF]
, 2017 summary:We study the Diophantine equations $(k!)^n -k^n = (n!)^k-n^k$ and $(k!)^n +k^n = (n!)^k +n^k,$ where $k$ and $n$ are positive integers. We show that the first one holds if and only if $k=n$ or $(k,n)=(1,2),(2,1)$ and that the second one holds if ...
Luca, Florian, Alzer, Horst
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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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DETECTION OF DEADLOCKS IN PARALLEL PROGRAMS AS SOLUTION OF LINEAR DIOPHANTINE EQUATIONS
Вестник Донского государственного технического университета, 2018 The method of detecting deadlocks in the distributed systems at the design stage of the system is considered. The system is presented in the form of a model through the formal specification by means of Petri nets.
Olga F. Babakhyan
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Almost repdigits in balancing and Lucas-balancing sequences [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we define the notion of almost repdigit as a positive integer whose digits are all equal except for at most one digit, and we search all terms of the balancing and Lucas-balancing sequences which are almost repdigits.
Manasi K. Sahukar, Hussain Basha
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DETECTION OF DEADLOCKS IN PARALLEL PROGRAMS AS SOLUTION OF LINEAR DIOPHANTINE EQUATIONS
Advanced Engineering Research, 2011 The method of detecting deadlocks in the distributed systems at the design stage of the system is considered. The system is presented in the form of a model through the formal specification by means of Petri nets.
Olga F. Babakhyan
doaj
Branes with brains: exploring string vacua with deep reinforcement learning
Journal of High Energy Physics, 2019 We propose deep reinforcement learning as a model-free method for exploring the landscape of string vacua. As a concrete application, we utilize an artificial intelligence agent known as an asynchronous advantage actor-critic to explore type IIA ...
James Halverson +2 more
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On novel security systems based on the 2-cyclic refined integers and the foundations of 2-cyclic refined number theory [PDF]
Journal of Fuzzy Extension and ApplicationsIntegers play a basic role in the structures of asymmetric crypto-algorithms. Many famous public key crypto-schemes use the basics of number theory to share keys and decrypt and encrypt messages and multimedia.
Mohammad Abobala +2 more
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