Results 61 to 70 of about 1,117,147 (144)

The parabolic geometry generated by the Möbius action of SL(2;ℝ) through the Erlangen Program [PDF]

open access: yesSurveys in Mathematics and its Applications
Inspired by the Erlangen Program of Felix Klein, we have studied the SL(2;ℝ)-action on complex, dual and double numbers focusing mainly on dual numbers.
Debapriya Biswas, Sneha Gupta
doaj  

Hybrid numbers with the view of multiplicative calculus

open access: yesKuwait Journal of Science
This paper defines a new number system called multiplicative hybrid numbers. A multiplicative hybrid number is one that satisfies the non-commutative multiplication criteria using any combination of multiplicative complex (𝑖 2⋆ ⋆ = −⋆1⋆ ), multiplicative
Umut Selvi, Derya Sağlam, Emel Karaca
doaj   +1 more source

Dual Szegö pairs of sequences of rational matrix-valued functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
We study certain sequences of rational matrix-valued functions with poles outside the unit circle. These sequences are recursively constructed based on a sequence of complex numbers with norm less than one and a sequence of strictly contractive matrices.
Andreas Lasarow
doaj   +1 more source

A Survey on Solving the Matrix Equation AXB = C with Applications

open access: yesMathematics
This survey provides a comprehensive overview of the solutions to the matrix equation AXB=C over real numbers, complex numbers, quaternions, dual quaternions, dual split quaternions, and dual generalized commutative quaternions, including various special
Qing-Wen Wang, Lv-Ming Xie, Zi-Han Gao
doaj   +1 more source

Quantum Algorithm for Estimating Betti Numbers Using Cohomology Approach [PDF]

open access: yesQuantum
Topological data analysis has emerged as a powerful tool for analyzing large-scale data. An abstract simplicial complex, in principle, can be built from data points, and by using tools from homology, topological features could be identified.
Nhat A. Nghiem   +2 more
doaj   +1 more source

Associative Hypercomplex Algebras Arise over a Basic Set of Subgeometric One-Dimensional Elements

open access: yesMathematics
An abstract set of one-dimensional (spinor-type) elements randomly oriented on a plane is introduced as a basic subgeometric object. Endowing the set with the binary operations of multiplication and invertible addition sequentially yields a specific semi-
Alexander P. Yefremov
doaj   +1 more source

Dislocation rates with combinations of anti-protrusio cages and dual mobility cups in revision cases: Are we safe?

open access: yesPLoS ONE, 2019
BACKGROUND:Due to the increasing numbers of revision total hip arthroplasty (THA) procedures being carried out, the frequency of major acetabular defects is also rising. A combination of an anti-protrusio cage and a dual mobility cup has been used in our
Tom Schmidt-Braekling   +6 more
doaj   +1 more source

Clustering-Assisted Deep Reinforcement Learning for Joint Trajectory Design and Resource Allocation in Two-Tier-Cooperated UAVs Communications

open access: yesIEEE Transactions on Machine Learning in Communications and Networking
Considering their high mobility and relatively low cost, uncrewed aerial vehicles (UAVs) equipped with mobile base stations are regarded as a potential technological approach.
Shujun Zhao   +4 more
doaj   +1 more source

Gender, careers, and kids: a qualitative study of the partners of international employees

open access: yesKōtuitui
This paper examines the relocation experiences of sixteen women and men who moved with their children to Aotearoa New Zealand when their partners took up career positions in that country.
Rosemary Du Plessis, Mohini Vidwans
doaj   +1 more source

Feasibility Simulations of Dual-Layer Flat Panel Detectors for Bone Mineral Density Estimation

open access: yesIEEE Access
Bone mineral density (BMD) measurement plays a crucial role in the diagnosis and management of osteoporosis. The most widely used clinical method is dual-energy x-ray absorptiometry (DXA), where image scanning using fan-beam x-rays requires complex ...
Dayeon Lee, Dong Sik Kim
doaj   +1 more source

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