Dynamics of Cosmological Models with Nonlinear Classical Phantom Scalar Fields. I. Formulation of the Mathematical Model [PDF]
Russian Physics Journal, 2019 Mathematical models describing the cosmological evolution of classical and phantom scalar fields with self-action are formulated and analyzed. Systems of dynamical equations in the plane, describing homogeneous cosmological models, have been obtained. It is shown that depending on the parameters of the field model, it is possible to violate the singly ...
Yu. G. Ignat’ev, A. A. Arathonov
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A Global Approach with Cutoff Exponential Function, Mathematically Well Defined at the Outset, for Calculating the Casimir Energy: The Example of Scalar Field [PDF]
Advances in High Energy Physics, 2010 A global approach with cutoff exponential functions is used to obtain the Casimir energy of a massless scalar field in the presence of a spherical shell. The proposed method, mathematically well defined at the outset, makes use of two regulators, one of them to make the sum of the orders of Bessel functions finite and the other to regularize the ...
Milton Souza Ribeiro Miltão +1 more
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Mathematical apparatus for determination of homogenous scalar medium thermal resistance
Vestnik MGSU, 2019 Introduction: the article suggests a method for determining a thermal resistance of small and large-sized areas (one-dimensional and multidimensional problems) of wall enclosure. The subject of the study is the thermal resistance of homogeneous scalar medium (homogeneous wall enclosure).
Tatiana Musorina +2 more
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Advances in mathematical analysis for solving inhomogeneous scalar differential equation
AIMS Mathematics<p>This paper considered a functional model which splits to two types of equations, mainly, advance equation and delay equation. The advance equation was solved using an analytical approach. Different types of solutions were obtained for the advance equation under specific conditions of the model's parameters.
Abdulrahman B. Albidah +3 more
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Mathematical model of unsaturated and supersaturated moist air flow based on two passive scalar transport equations [PDF]
AIP Conference Proceedings, 2016 The article deals with the development of two passive scalars based moist air flow model. The proposed model allows solving two-phase flow, where condensation or evaporation of water droplets occurs. The model is developed to by applicable in the limit of very low Mach number flow.
Tomáš Hyhlík
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Intuitive Mathematical Economics Series. Linear Structures I. Linear Manifolds, Vector Spaces and Scalar Products [PDF]
SSRN Electronic Journal, 2019 Linear algebra is undoubtedly one of the most powerful structures of pure and applied mathematics. It combines extreme generality with deeply held spatial intuitions. In economics and data science, one would dare to say, lies at the basis of most of the other mathematical techniques used.
Sergio Pernice
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Thermodynamics of charged three-dimensional scalar-tensor black holes: the problem of mathematical inconsistency and its solution [PDF]
The European Physical Journal CAbstractBy applying conformal transformations on the action of scalar–tensor-Euler–Heisenberg theory, we obtain the exact black hole (BH) solutions in its conformal related, the well-known Einstein frame. Through imposing the conditions of (a) vanishing the electric potential at large distance from the source and (b) validity of the first law of BH ...
M. Dehghani
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International Journal of Computer Applications, 2012 Elliptic Curve Cryptography (ECC) is one of the safest standard algorithms, based on public-key, for providing the security in communication and networks. One of the most time consuming processes in ECC algorithm for encryption/decryption is the scalar multiplication, i.e., KP, where P is the text which is on the elliptic curve.
N. Shylashree +2 more
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Analysis of mathematical models of functioning scalar multiprocessor systems [PDF]
Vìsnik Nacìonalʹnogo unìversitetu "Lʹvìvsʹka polìtehnìka". Serìâ Ìnformacìjnì sistemi ta merežì, 2019 Іvan Оpirskyy +2 more
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Scalar Multiplication on Koblitz Curves Using the Frobenius Endomorphism and Its Combination with Point Halving: Extensions and Mathematical Analysis [PDF]
Algorithmica, 2006 In this paper we prove the optimality and other properties of the ź-adic nonadjacent form: this expansion has been introduced in order to compute scalar multiplications on Koblitz curves efficiently. We also refine and extend results about double expansions of scalars introduced by Avanzi, Ciet and Sica in order to improve scalar multiplications ...
Roberto Avanzi +2 more
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