Results 11 to 20 of about 357,419 (186)
Lower bounds on the bounded coefficient complexity of bilinear maps [PDF]
Journal of the ACM, 2003 We prove lower bounds of order n log n for both the problem of multiplying polynomials of degree n , and of dividing polynomials with remainder, in the model of bounded coefficient arithmetic circuits over the complex numbers. These lower bounds are optimal up to order
Bürgisser, Peter, Lotz, Martin
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Initial Coefficient Bounds for Bi-Univalent Functions Related to Gregory Coefficients
Mathematics, 2023 In this article we introduce three new subclasses of the class of bi-univalent functions Σ, namely HGΣ, GMΣ(μ) and GΣ(λ), by using the subordinations with the functions whose coefficients are Gregory numbers. First, we evidence that these classes are not
Gangadharan Murugusundaramoorthy +2 more
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Bounds for Hilbert Coefficients [PDF]
Taiwanese Journal of Mathematics, 2021 Let \((R,\mathfrak{m})\) be a noetherian local ring of Krull dimension \(d\), and \(\mathfrak{a}\) an \(\mathfrak{m}\)-primary ideal of \(R\), i.e. \(\sqrt{\mathfrak{a}}=\mathfrak{m}\). The Hilbert-Samuel function \(H_{\mathfrak{a}}(-):\mathbb{Z}\rightarrow \mathbb{N}_{\geq 0}\) of \(R\) with respect to \(\mathfrak{a}\) is given by \(H_{\mathfrak{a}}(n)
Linh, Cao Huy, Tan, Ton That Quoc
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Applications of Borel distribution series on holomorphic and bi-univalent functions [PDF]
Mathematica Moravica, 2021 In present manuscript, we introduce and study two families BS(l, d; a) and B * S (l, d; b) of holomorphic and bi-univalent functions which involve the Borel distribution series. We establish upper bounds for the initial Taylor-Maclaurin coefficients |a2|
Wanas Abbas Kareem +1 more
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Analytic Univalent fucntions defined by Gegenbauer polynomials [PDF]
Journal of Mahani Mathematical Research, 2023 The numerical tools that have outshinning many others in the history of Geometric Function Theory (GFT) are the Chebyshev and Gegenbauer polynomials in the present time.
Sunday Olatunji
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Journal of Function Spaces, 2021 It is well-known that the logarithmic coefficients play an important role in the development of the theory of univalent functions. If S denotes the class of functions fz=z+∑n=2∞anzn analytic and univalent in the open unit disk U, then the logarithmic ...
Davood Alimohammadi +3 more
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Bounding the first Hilbert coefficient [PDF]
Proceedings of the American Mathematical Society, 2011 This paper gives new bounds on the first Hilbert coefficient of an ideal of finite colength in a Cohen-Macaulay local ring. The bound given is quadratic in the multiplicity of the ideal. We compare our bound to previously known bounds and give examples to show that at least in some cases it is sharp.
Hanumanthu, Krishna, Huneke, Craig
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A method for estimating width bands of variables in economics under uncertainty conditions
MethodsX, 2021 This study develops a method to estimate the width bands of variables in economics by fuzzy logic. One of its important features is flexibility in the conditions of economic uncertainty, which can be used to model the uncertainty of external and internal
Reza Ashraf Ganjoei +3 more
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Frame approximation with bounded coefficients [PDF]
Advances in Computational Mathematics, 2021 Due to their flexibility, frames of Hilbert spaces are attractive alternatives to bases in approximation schemes for problems where identifying a basis is not straightforward or even feasible. Computing a best approximation using frames, however, can be challenging since it requires solving an ill-conditioned linear system.
Adcock, Ben, Seifi, Mohsen
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Bounding the Bogoliubov coefficients [PDF]
Annals of Physics, 2008 25 pages, plain ...
Boonserm, Petarpa, Visser, Matt
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