Complex Numbers and Rhythmic Changes
Sign Up to like & getrecommendations! Published in 2021 at "Resonance"
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
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Algebra"
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
Sign Up to like & getrecommendations! Published in 2020 at "American Journal of Physics"
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
A derivation of precessional effects in the Foucault pendulum using complex numbers
Sign Up to like & getrecommendations! Published in 2025 at "American Journal of Physics"
DOI: 10.1119/5.0237736
Abstract: It is found that the exact equations governing the motion of the Foucault pendulum take a simpler form when describing the pendulum's position as a complex number evolving in the complex plane. In this description,… read more here.
Keywords: precessional effects; derivation precessional; complex numbers; effects foucault ... See more keywords
Execution Efficiency of the use of Array and Linked-List Implementations of a Stack Abstract Data Types Containing Complex Numbers in Methods of an Android Application
Sign Up to like & getrecommendations! Published in 2024 at "TEM Journal"
DOI: 10.18421/tem132-75
Abstract: Abstract data types (ADTs) provide a way to define data structures and the operations allowed on them, independent of the specific implementation details. Choosing the appropriate data type is for many applications the most important… read more here.
Keywords: complex numbers; abstract data; stack; android application ... See more keywords
On Complex Numbers in Higher Dimensions
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
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;
Multidual Complex Numbers and the Hyperholomorphicity of Multidual Complex-Valued Functions
Sign Up to like & getrecommendations! Published in 2025 at "Axioms"
DOI: 10.3390/axioms14090683
Abstract: We develop a rigorous algebraic–analytic framework for multidual complex numbers DCn within the setting of Clifford analysis and establish a comprehensive theory of hyperholomorphic multidual complex-valued functions. Our main contributions are (i) a fully coupled… read more here.
Keywords: complex valued; hyperholomorphicity multidual; numbers hyperholomorphicity; complex numbers ... See more keywords
On lp-Complex Numbers
Sign Up to like & getrecommendations! Published in 2020 at "Symmetry"
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;
$B_h$ -SETS OF REAL AND COMPLEX NUMBERS
Sign Up to like & getrecommendations! Published in 2025 at "Canadian Mathematical Bulletin"
DOI: 10.4153/s0008439525100775
Abstract: Let $K = \mathbb{R}$ or $\mathbb{C}$. An $n$-element subset $A$ of $K$ is a $B_h$-set if every element of $K$ has at most one representation as the sum of $h$ not necessarily distinct elements of… read more here.
Keywords: complex numbers; real complex; sets real;