Complex Numbers and Rhythmic Changes
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DOI: 10.1007/s12045-021-1209-x
Abstract: The concept of complex numbers (CNs) is used in many disciplines. In many cases, students find it difficult to understand the logic behind CNs. Rotations, vibrations, and oscillations result in sine or cosine waves. Mathematical… read more here.
Keywords: rhythmic changes; complex numbers; numbers rhythmic;
Classification of simple linearly compact Kantor triple systems over the complex numbers
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DOI: 10.1016/j.jalgebra.2018.08.009
Abstract: Abstract Simple finite-dimensional Kantor triple systems over the complex numbers are classified in terms of Satake diagrams. We prove that every simple and linearly compact Kantor triple system has finite dimension and give an explicit… read more here.
Keywords: triple systems; simple linearly; kantor; kantor triple ... See more keywords
Why are complex numbers needed in quantum mechanics? Some answers for the introductory level
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DOI: 10.1119/10.0000258
Abstract: 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… read more here.
Keywords: physics; numbers needed; quantum mechanics; complex numbers ... See more keywords
On Complex Numbers in Higher Dimensions
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DOI: 10.3390/axioms11010022
Abstract: The geometric approach to generalized complex and three-dimensional hyper-complex numbers and more general algebraic structures being based upon a general vector space structure and a geometric multiplication rule which was only recently developed is continued… read more here.
Keywords: complex numbers; numbers higher; higher dimensions;
On lp-Complex Numbers
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DOI: 10.3390/sym12060877
Abstract: Dispensing with the common property of distributivity and replacing classical trigonometric functions with their l p -counterparts in Euler’s trigonometric representation of complex numbers, classes of l p -complex numbers are introduced and some of… read more here.
Keywords: complex numbers;