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Critical impact of automobile industry with advanced decision support system and Aczél-Alsina Hammy mean operators. [PDF]
Hussain A, Ullah K, Ali Z, Pamucar D.
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Beyond real: Investigating the role of complex numbers in self-testing [PDF]
Chen, Ranyiliu +2 more
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Why are complex numbers needed in quantum mechanics? Some answers for the introductory level
American Journal of Physics, 2020Complex numbers are broadly used in physics, normally as a calculation tool that makes things easier due to Euler's formula. In the end, it is only the real component that has physical meaning or the two parts (real and imaginary) are treated separately ...
R. Karam
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On the Fourier transform of Bessel functions over complex numbers—I: the spherical case
, 2016In this note, we prove a formula for the Fourier transform of spherical Bessel functions over complex numbers, viewed as the complex analogue of the classical formulae of Hardy and Weber. The formula has strong representation theoretic motivations in the
Zhi Qi
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Visualizing the Arithmetic of Complex Numbers
The International Journal for Technology in Mathematics Education, 2014The Common Core State Standards Initiative stresses the importance of developing a geometric and algebraic understanding of complex numbers in their different forms (i.e., Cartesian, polar and exponential).
Hortensia Soto-Johnson
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On hyper complex numbers with higher order Pell numbers components
The Journal of Analysis, 2023Hayrullah Özimamoğlu
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New Sum-Product Estimates for Real and Complex Numbers
Discrete & Computational Geometry, 2014A variation on the sum-product problem seeks to show that a set which is defined by additive and multiplicative operations will always be large. In this paper, we prove new results of this type.
A. Balog, O. Roche-Newton
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