Investigating Monogenity in a Family of Cyclic Sextic Fields
MathematicsJones characterized, among others, monogenity of a family of cyclic sextic polynomials. Our purpose is to study monogenity of the family of corresponding sextic number fields.
István Gaál
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On common index divisors and monogenity of septic number fields defined by trinomials of type $x^7+ax^5+b$ [PDF]
Mathematica BohemicaLet $K $ be a septic number field generated by a root $\theta$ of an irreducible polynomial $ F(x)= x^7+ax^5+b \in\mathbb Z[x]$. In this paper, we explicitly characterize the index $i(K)$ of $K$.
Hamid Ben Yakkou
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Modal Expansions and Orthogonal Complements in the Theory of Complex Media Waveguide Excitation by External Sources for Isotropic, Anisotropic, and Bianisotropic Media [PDF]
, 1998 A unified electrodynamic approach to the guided wave excitation by external sources in the waveguiding structures with bianisotropic media is developed.
Barybin, A. A.
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SOME PROPERTIES OF OPERATOR EXPONENT
Ural Mathematical Journal, 2018 We study operators given by series, in particular, operators of the form \(e^B=\sum\limits_{n=0}^{\infty}{B^n}/{n!},\) where \(B\) is an operator acting in a Banach space \(X\). A corresponding example is provided.
Lyudmila F. Korkina, Mark A. Rekant
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On symbology and differential equations of Feynman integrals from Schubert analysis
Journal of High Energy Physics, 2023 We take the first step in generalizing the so-called “Schubert analysis”, originally proposed in twistor space for four-dimensional kinematics, to the study of symbol letters and more detailed information on canonical differential equations for Feynman ...
Song He +3 more
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High integrity software for nuclear power plants: Candidate guidelines, technical basis and research needs. Main report, Volume 2 [PDF]
, 1995 The work documented in this report was performed in support of the US Nuclear Regulatory Commission to examine the technical basis for candidate guidelines that could be considered in reviewing and evaluating high integrity computer e following software development and assurance activities: Requirements specification; design; coding; verification and ...
Seth, S. +8 more
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Normalization Integrals of Orthogonal Heun Functions
, 1997 A formula for evaluating the quadratic normalization integrals of orthogonal Heun functions over the real interval 0
Becker, Peter A.
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Procedia Engineering, 2015 AbstractOne of the possible solutions leading to higher interference immunity and electromagnetic compatibility of control systems of power semiconductor converters (SC) due to the usage of integrating scanning conversion is given. Integrating adaptive synchronizing units, phase shifting adevices and analog-digital converters, which are distinguished ...
Dudkin, M.M. +2 more
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Analytical two-center integrals over Slater geminal functions
, 2012 We present analytical formulas for the calculation of the two-center two-electron integrals in the basis of Slater geminals and products of Slater orbitals.
H.-J. Werner +8 more
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Unsteady turbulence cascades [PDF]
, 2016 We have run a total of 311 Direct Numerical Simulations (DNS) of decaying three-dimensional Navier-Stokes turbulence in a periodic box with values of the Taylor length-based Reynolds number up to about 300 and an energy spectrum with a wide wavenumber ...
Vassilicos, C
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