Functional reduction of Feynman integrals
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DOI: 10.1007/jhep02(2019)173
Abstract: A bstractA method for reducing Feynman integrals, depending on several kinematic variables and masses, to a combination of integrals with fewer variables is proposed. The method is based on iterative application of functional equations proposed… read more here.
Keywords: three variables; reduction feynman; kinematic variables; feynman integrals ... See more keywords
Approximation of a System of Rational Functional Equations of Three Variables
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-019-0626-y
Abstract: This study aims at substantiating the validity of stability results of a system of rational functional equations involving three variables connected with the Ulam stability theory of functional equations. There are some functional equations identified… read more here.
Keywords: three variables; system; rational functional; system rational ... See more keywords
Discriminants of cyclic homogeneous inequalities of three variables
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DOI: 10.1016/j.jalgebra.2018.07.036
Abstract: Abstract In this article, we study the structure of the cone of semidefinite forms. It is a closed semialgebraic set but usually is not basic closed semialgebraic set. A discriminant is a defining equation of… read more here.
Keywords: three variables; inequalities three; homogeneous inequalities; cyclic homogeneous ... See more keywords
A note on retracts of polynomial rings in three variables
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DOI: 10.1016/j.jalgebra.2019.05.040
Abstract: In Costa's paper published in 1977, he asks us whether every retract of $k^{[n]}$ is also the polynomial ring or not, where $k$ is a field. In this paper, we give an affirmative answer in… read more here.
Keywords: three variables; retracts polynomial; polynomial rings; rings three ... See more keywords
On Rees algebras of linearly presented ideals in three variables
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DOI: 10.1016/j.jpaa.2016.12.001
Abstract: Abstract Let I be a height two perfect ideal with a linear presentation matrix in a polynomial ring R = k [ x , y , z ] . Assume furthermore that after modulo an… read more here.
Keywords: three variables; ideals three; presented ideals; linearly presented ... See more keywords
Horn's hypergeometric functions with three variables
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DOI: 10.1080/10652469.2020.1814770
Abstract: The work is devoted to obtaining explicit formulas for analytic continuation of quite general hypergeometric series depending on three variables and belonging to the Horn class. We have derived such continuation formulas with respect to… read more here.
Keywords: three variables; hypergeometric functions; continuation; horn hypergeometric ... See more keywords
Extremal sequences for the Bellman function of three variables of the dyadic maximal operator related to Kolmogorov’s inequality
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DOI: 10.1090/tran/7843
Abstract: We give a characterization of the extremal sequences for the Bellman function of three variables of the dyadic maximal operator in relation to Kolmogorov's inequality. In fact we prove that they behave approximately like eigenfunctions… read more here.
Keywords: three variables; bellman function; sequences bellman; function three ... See more keywords
Beyond two modes of thought: A quantum model of how three cognitive variables yield conceptual change
Sign Up to like & getrecommendations! Published in 2022 at "Frontiers in Psychology"
DOI: 10.3389/fpsyg.2022.905446
Abstract: We re-examine the long-held postulate that there are two modes of thought, and develop a more fine-grained analysis of how different modes of thought affect conceptual change. We suggest that cognitive development entails the fine-tuning… read more here.
Keywords: beyond two; three variables; modes thought; two modes ... See more keywords