Algebraic Superconnections, and Electroweak Interactions
R. Coquereaux (1992)
Recherche Coopérative sur Programme n°25
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R. Coquereaux (1992)
Recherche Coopérative sur Programme n°25
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Rudolf Scitovski, Kristian Sabo (2019)
Applications of Mathematics
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We consider the multiple ellipses detection problem on the basis of a data points set coming from a number of ellipses in the plane not known in advance, whereby an ellipse is viewed as a Mahalanobis circle with center , radius , and some positive definite matrix . A very efficient method for solving this problem is proposed. The method uses a modification of the -means algorithm for Mahalanobis-circle centers. The initial approximation consists of the set of circles whose centers...
N. Ch. Wass
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This thesis is concerned with the problem of determining a measure of algebraic independence for a particular m-tuple θ₁,..., of complex numbers. Specifically, let K be a number field and let f₁(z),..., be elements of K[[z]] algebraically independent over K(z) satisfying equations of the form(*) (j = i,...,m)for b ≥ 2, , in K(z). Suppose finally that α ∈ K is such that 0 < |α| < 1, the ) converge at z = α and the , are analytic at Then the are algebraically independent...
K. Orlov (1981)
Matematički Vesnik
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Boris Adamczewski, Jason P. Bell (2013)
Annales scientifiques de l'École Normale Supérieure
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We prove a quantitative version of a result of Furstenberg [20] and Deligne [14] stating that the diagonal of a multivariate algebraic power series with coefficients in a field of positive characteristic is algebraic. As a consequence, we obtain that for every prime the reduction modulo of the diagonal of a multivariate algebraic power series with integer coefficients is an algebraic power series of degree at most and height at most , where is an effective constant that only...
Eduardo Rangel-Heras, Pavel Zuniga, Alma Y. Alanis, Esteban A. Hernandez-Vargas, Oscar D. Sanchez (2023)
Kybernetika
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This work presents a new approach for the imputation of missing data in weather time-series from a seasonal pattern; the seasonal time-series imputation of gap missing algorithm (STIGMA). The algorithm takes advantage from a seasonal pattern for the imputation of unknown data by averaging available data. We test the algorithm using data measured every minutes over a period of days during the year 2010; the variables include global irradiance, diffuse irradiance, ultraviolet irradiance,...
V. Flammang (2016)
Colloquium Mathematicae
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Let α be a totally positive algebraic integer of degree d, i.e., all of its conjugates are positive real numbers. We study the set ₂ of the quantities . We first show that √2 is the smallest point of ₂. Then, we prove that there exists a number l such that ₂ is dense in (l,∞). Finally, using the method of auxiliary functions, we find the six smallest points of ₂ in (√2,l). The polynomials involved in the auxiliary function are found by a recursive algorithm.
Mark van Hoeij, Vivek Pal (2012)
Journal de Théorie des Nombres de Bordeaux
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Let and be algebraic number fields. We describe a new method to find (if they exist) all isomorphisms, . The algorithm is particularly efficient if there is only one isomorphism.
Krzysztof Kurdyka, Beata Osińska-Ulrych, Grzegorz Skalski, Stanisław Spodzieja (2014)
Annales Polonici Mathematici
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Let V ⊂ ℝⁿ, n ≥ 2, be an unbounded algebraic set defined by a system of polynomial equations and let f: ℝⁿ→ ℝ be a polynomial. It is known that if f is positive on V then extends to a positive polynomial on the ambient space ℝⁿ, provided V is a variety. We give a constructive proof of this fact for an arbitrary algebraic set V. Precisely, if f is positive on V then there exists a polynomial , where are sums of squares of polynomials of degree at most p, such that f(x) + h(x) >...
Carlos Alexis Ruiz Gómez, Florian Luca (2015)
Acta Arithmetica
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We consider the Tribonacci sequence given by T₀ = 0, T₁ = T₂ = 1 and for all n ≥ 0, and we find all triples of Tribonacci numbers which are multiplicatively dependent.
Wojciech Kucharz (2009)
Journal of the European Mathematical Society
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Every compact smooth manifold is diffeomorphic to a nonsingular real algebraic set, called an algebraic model of . We study modulo 2 homology classes represented by algebraic subsets of , as runs through the class of all algebraic models of . Our main result concerns the case where is a spin manifold.
Martin Grigoryan (2010)
Studia Mathematica
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For any 0 < ϵ < 1, p ≥ 1 and each function one can find a function with mesx ∈ [0,1): g ≠ f < ϵ such that its greedy algorithm with respect to the Walsh system converges uniformly on [0,1) and the sequence is decreasing, where is the sequence of Fourier coefficients of g with respect to the Walsh system.
Lilu Zhao (2014)
Acta Arithmetica
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Let denote the number of representations of the positive number n as the sum of two squares and s biquadrates. When or 4, it is established that the anticipated asymptotic formula for holds for all with at most exceptions.
Edoardo Ballico, Riccardo Ghiloni (2014)
Annales Polonici Mathematici
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Let V be a real algebraic manifold of positive dimension. The aim of this paper is to show that, for every integer b (arbitrarily large), there exists a trivial Nash family of real algebraic manifolds such that V₀ = V, is an algebraic family of real algebraic manifolds over (possibly singular over y = 0) and is perfectly parametrized by in the sense that is birationally nonisomorphic to for every with y ≠ z. A similar result continues to hold if V is a singular real algebraic...
Iryna V. Fryz (2018)
Commentationes Mathematicae Universitatis Carolinae
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G. B. Belyavskaya and G. L. Mullen showed the existence of a complement for a -tuple of orthogonal -ary operations, where , to an -tuple of orthogonal -ary operations. But they proposed no method for complementing. In this article, we give an algorithm for complementing a -tuple of orthogonal -ary operations to an -tuple of orthogonal -ary operations and an algorithm for complementing a -tuple of orthogonal -ary operations to an -tuple of orthogonal -ary operations. Also...