Results 21 to 30 of about 12,500,740 (339)
For the first time with the help of the theory of analytic functions and Kolosov-Muskhelishvili formulas the problem of the two-dimensional theory of elasticity for a thickwalled ring with the uneven pressures, acting on its borders, was solved.
Kravchuk Aleksandr Stepanovich +1 more
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A Study on Dual-Generalized Complex and Hyperbolic-Generalized Complex Numbers
This work is intended to introduce the theories of dual-generalized complex and hyperbolicgeneralized complex numbers. The algebraic properties of these numbers are taken into consideration.
N. Gürses, G. Y. Şentürk, S. Yüce
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Frieze patterns over integers and other subsets of the complex numbers [PDF]
We study (tame) frieze patterns over subsets of the complex numbers, with particular emphasis on the corresponding quiddity cycles. We provide new general transformations for quiddity cycles of frieze patterns.
M. Cuntz, T. Holm
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This study explored the utilisation of GeoGebra as a modelling tool to develop undergraduate engineering mathematics students’ conceptual and procedural knowledge of complex numbers.
Philemon M. Seloane +2 more
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Parameters of the two generator discrete elementary groups : a thesis presented in partial fulfillment of the requirements for the degree of Master of Science in Mathematics at Massey University, Albany, New Zealand [PDF]
Let f, g be elements of M, the group of Möbius transformations of the extended complex plane Ĉ = C U ∞. We identify each element of M with a 2 × 2 complex matrix with determinant 1. The three complex numbers, β(f) = tr2 (f) - 4,β(g) = tr2 (g) - 4,γ(
Zhang, Qingxiang
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Lelong numbers, complex singularity exponents, and Siu's semicontinuity theorem [PDF]
In this note, we present a relationship between Lelong numbers and complex singularity exponents. As an application, we obtain a new proof of Siu's semicontinuity theorem for Lelong numbers.Comment: 5 pages, revised ...
Guan, Qi'an, Zhou, Xiangyu
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Convert between neutrosophic complex numbers forms [PDF]
Complex numbers have been studied in previous papers, but the papers did not deal with the conversion from algebraic form of a neutrosophic complex number form to exponential or trigonometric form and vice versa, and this prompted us to search for a ...
Yaser Ahmad Alhasan +2 more
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This article introduces a new kinematic modeling method used to analyze coupled rigid multibody movements. The method was applied to the study of a 5R planar parallel mechanism’s kinematics and consists of analyzing two fixed configurations of the
Eusebio Jimenez Lopez +5 more
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On the Fourier transform of Bessel functions over complex numbers—II: The general case [PDF]
In this paper, we prove an exponential integral formula for the Fourier transform of Bessel functions over complex numbers, along with a radial exponential integral formula. The former will enable us to develop the complex spectral theory of the relative
Zhi Qi
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Topology and Metricity of the Complex Plane
The equinumerosity of the set of complex numbers and a set of ordered pairs of real numbers is used to show the topology of the complex plane. Likewise, the metricity of the complex plane is proved with the aid of the metricity of the plane R.
Ryan Calungsod, Marleonie Bauyot
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