Results 41 to 50 of about 3,603,035 (255)
ON THE GENERAL SOLUTION OF A QUARTIC FUNCTIONAL EQUATION [PDF]
Bulletin of the Korean Mathematical Society, 2003 Using a classical result of M. Hosszú and applying elegant and elementary arguments the authors find the general solution of the functional equation: \[ f(x + 2y) + f(x-2y) + 6 f(x) = 4 (f (x+y) + f(x-y) + 6 f(y)), \] i.e., \( f(x) = A^4 (x)\) which is the diagonal of a 4-additive symmetric function from \(R^4\) into \(R\). By means of some results due
Chung, Jukang K., Sahoo, Prasanna K.
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npj Computational Materials, 2023 We employ first-principles calculations combined with self-consistent phonon theory and Boltzmann transport equations to investigate the thermal transport and thermoelectric properties of full-Heusler compound Na_2TlSb.
Tongcai Yue +4 more
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Hyers Stability in Generalized Intuitionistic P-Pseudo Fuzzy 2-Normed Spaces
Axioms, 2022 In this article, we defined the generalized intuitionistic P-pseudo fuzzy 2-normed spaces and investigated the Hyers stability of m-mappings in this space. The m-mappings are interesting functional equations; these functional equations are additive for m
Ehsan Movahednia, Manuel De la Sen
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Cavity-birefringence-dependent vector pure-quartic soliton fiber laser.
Optics Express, 2023 Pure-quartic soliton (PQS) fiber lasers provide a promising avenue for exploring novel soliton interaction dynamics and generating high-energy pulses. Here, we present the numerical observation of vector PQSs generation and the evolution dynamics in a ...
Zhiwei Zhu +3 more
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UPPER BOUNDS FOR THE NUMBER OF SOLUTIONS TO QUARTIC THUE EQUATIONS [PDF]
, 2011 We will give upper bounds for the number of integral solutions to quartic Thue equations. Our main tool here is a logarithmic curve ϕ(x, y) that allows us to use the theory of linear forms in logarithms.
SHABNAM AKHTARI +2 more
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, 2010 A fast and highly accurate algorithm for solving quartic equations is introduced. This new algorithm is more than six times as fast and several times more accurate than the quasi-standard Companion matrix eigenvalue quartic solver.
Peter Strobach, Strobach, Peter
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On the resolution of index form equations in quartic number fields [PDF]
, 1993 In this paper we reduce the problem of solving index form equations in quartic number fields K to the resolution of a cubic equation F (u, v) = i and a corresponding system of quadratic equations Q1 (x, y, z) = u, Q2(x, y, z) = v, where F is a binary ...
Gaál, István +2 more
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, 2017 The aim of this paper is to study the generalized Hyers-Ulam stability of a form of reciprocal-cubic and reciprocal-quartic functional equations in non-Archimedean fields.
Sang Og Kim +2 more
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Elementary theory of cubics and quartics
Lietuvos Matematikos Rinkinys, 2017 It is proved that cubic and quartic equations in real numbers can be solved elementarily, avoiding complex numbers and derivatives. Corresponding algorithms are presented.
Juozas Juvencijus Mačys
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Pure-quartic solitons and their generalizations—Theory and experiments
APL Photonics, 2021 Solitons are wave packets that can propagate without changing shape by balancing nonlinear effects with the effects of dispersion. In photonics, they have underpinned numerous applications, ranging from telecommunications and spectroscopy to ultrashort ...
C. D. de Sterke +3 more
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