Results 271 to 280 of about 12,782,893 (295)

Beyond real: Investigating the role of complex numbers in self-testing [PDF]

open access: green
Chen, Ranyiliu   +2 more
openalex  

Why are complex numbers needed in quantum mechanics? Some answers for the introductory level

American Journal of Physics, 2020
Complex 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
semanticscholar   +1 more source

On the Fourier transform of Bessel functions over complex numbers—I: the spherical case

, 2016
In 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
semanticscholar   +1 more source

Visualizing the Arithmetic of Complex Numbers

The International Journal for Technology in Mathematics Education, 2014
The 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
semanticscholar   +1 more source

On hyper complex numbers with higher order Pell numbers components

The Journal of Analysis, 2023
Hayrullah Özimamoğlu
semanticscholar   +1 more source

New Sum-Product Estimates for Real and Complex Numbers

Discrete & Computational Geometry, 2014
A 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
semanticscholar   +1 more source

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