Results 11 to 20 of about 1,858,099 (308)
Zeta function and some of its properties [PDF]
Vojnotehnički Glasnik, 2020 Introduction/purpose: Some properties of the zeta function will be shown as well as its applications in calculus, in particular the “golden nugget formula” for the value of the infinite sum 1 + 2 + 3 + · · · . Some applications in physics will also be
Nicola Fabiano
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Point-curve incidences in the complex plane [PDF]
, 2017 We prove an incidence theorem for points and curves in the complex plane. Given a set of $m$ points in ${\mathbb R}^2$ and a set of $n$ curves with $k$ degrees of freedom, Pach and Sharir proved that the number of point-curve incidences is $O\big(m ...
Sheffer, Adam +2 more
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Absence of Zeros and Asymptotic Error Estimates for Airy and Parabolic Cylinder Functions [PDF]
, 2012 We derive WKB approximations for a class of Airy and parabolic cylinder functions in the complex plane, including quantitative error bounds. We prove that all zeros of the Airy function lie on a ray in the complex plane, and that the parabolic cylinder ...
Finster, Felix, Smoller, Joel
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A New Construction of Holditch Theorem for Homothetic Motions in Cp
Advances in Mathematical Physics, 2021 In this study, the planar kinematics has been studied in a generalized complex plane which is a geometric representation of the generalized complex number system.
Tülay Erişir
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A new proof of the theorems of Lin-Zaidenberg and Abhyankar-Moh-Suzuki [PDF]
, 2015 Using the theory of minimal models of quasi-projective surfaces we give a new proof of the theorem of Lin-Zaidenberg which says that every topologically contractible algebraic curve in the complex affine plane has equation $X^n=Y^m$ in some algebraic ...
Palka, Karol
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Global Registration of Terrestrial Laser Scanner Point Clouds Using Plane-to-Plane Correspondences
Remote Sensing, 2020 Registration of point clouds is a central problem in many mapping and monitoring applications, such as outdoor and indoor mapping, high-speed railway track inspection, heritage documentation, building information modeling, and others.
Nadisson Luis Pavan +2 more
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Complex singularities around the QCD critical point at finite densities [PDF]
, 2014 Partition function zeros provide alternative approach to study phase structure of finite density QCD. The structure of the Lee-Yang edge singularities associated with the zeros in the complex chemical potential plane has a strong influence on the real ...
Ejiri, Shinji +2 more
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Generation of Multistability through Unstable Systems
Chaos Theory and Applications, 2022 In this work, we propose an approach to generate multistability based on a class of unstable systems that have all their roots in the right complex half-plane.
Baltazar Aguirre Hernandez +3 more
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Burgers’ equation in the complex plane
Physica D: Nonlinear Phenomena, 2023 Burgers' equation is a well-studied model in applied mathematics with connections to the Navier-Stokes equations in one spatial direction and traffic flow, for example. Following on from previous work, we analyse solutions to Burgers' equation in the complex plane, concentrating on the dynamics of the complex singularities and their relationship to the
Daniel J. VandenHeuvel +4 more
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On bounded complex Jacobi matrices and related moment problems in the complex plane [PDF]
Surveys in Mathematics and its Applications, 2023 In this paper we consider the following moment problem: find a positive Borel measure μ on ℂ subject to conditions ∫ zn dμ = sn, n∈ℤ+, where sn are prescribed complex numbers (moments).
Sergey M. Zagorodnyuk
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