Results 21 to 30 of about 434,585 (264)

New Properties and Identities for Fibonacci Finite Operator Quaternions

open access: yesMathematics, 2022
In this paper, with the help of the finite operators and Fibonacci numbers, we define a new family of quaternions whose components are the Fibonacci finite operator numbers. We also provide some properties of these types of quaternions.
Nazlıhan Terzioğlu   +2 more
doaj   +1 more source

A Circuit Topology Approach to Categorizing Changes in Biomolecular Structure

open access: yesFrontiers in Physics, 2020
The biological world is composed of folded linear molecules of bewildering topological complexity and diversity. The topology of folded biomolecules such as proteins and ribonucleic acids is often subject to change during biological processes.
Otto Schullian   +4 more
doaj   +1 more source

A Hybrid Recommender System Based on Autoencoder and Latent Feature Analysis

open access: yesEntropy, 2023
A recommender system (RS) is highly efficient in extracting valuable information from a deluge of big data. The key issue of implementing an RS lies in uncovering users’ latent preferences on different items. Latent Feature Analysis (LFA) and deep neural
Shangzhi Guo   +5 more
doaj   +1 more source

The Cyclic Decomposition of cf(Q_28×C_p)/ R ̅(Q_28×C_p)

open access: yesJournal of Kufa for Mathematics and Computer, 2022
In this paper, we propose the cyclic decomposition of the factor group cf(Q_28×C_p),Z)/R ̅(Q_28×C_p ), and the group cf(Q_28×C_p ) is Z-valued class functions of the direct product group (Q_28×C_p ) under the operation of addition, and R(Q_28×C_p )is ...
Naseer Albakaa   +2 more
doaj   +1 more source

Triangular Matrix Representations

open access: yesJournal of Algebra, 2000
A ring \(R\) is said to have a GTMR (reviewer's abbreviation for ``generalised triangular matrix representation'') if there is a positive integer \(n\) such that \(R\) is isomorphic to the ring of all \(n\times n\) upper triangular matrices with \(i\)-th diagonal entry in some ring \(R_i\) and with above-diagonal \((i,j)\)-entry in an \(R_i\)-\(R_j ...
Birkenmeier, Gary F.   +3 more
openaire   +1 more source

A Graph-Theory-Based Method for Topological and Dimensional Representation of Planar Mechanisms as a Computational Tool for Engineering Design

open access: yesIEEE Access, 2019
In this paper, a graph-theory-based approach for representing planar mechanisms is presented, the Santiago Portilla method (SPM). From the corresponding adjacency matrix, SPM generates an extended matrix containing the complete characterization of a ...
Eric Santiago-Valenten   +5 more
doaj   +1 more source

Getting to the Roots of Matrix Representation [PDF]

open access: yesSystematic Biology, 2005
Hibbett, D. S., and M. J. Donoghue. 1998. Integrating phylogenetic analysis and classification in fungi. Mycologia 90:347–356. Hibbett, D. S., and Thorn, R.G. 2001. Basidiomycota: Homobasidiomycetes. Pages 121–168 in The Mycota VII, systematics and evolution, Part B (D. J. McLaughlin, E. G. McLaughlin, and P. A.
Olaf R P, Bininda-Emonds   +2 more
openaire   +2 more sources

Matrix Representation of Gaussian Optics [PDF]

open access: yesAmerican Journal of Physics, 1964
The ray-tracing method is used to discuss Gaussian optics. After proving that Gaussian optics can be described by matrices, some often-used general formulas for telescopic and focusing systems are derived. This formalism is then used to solve several problems.
openaire   +4 more sources

Estimates for matrix coefficients of representations

open access: yesAmerican Journal of Mathematics, 2022
20 ...
Bruno, T   +3 more
openaire   +4 more sources

Research on splitting quaternions with generalized Tribonacci hybrid number components [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
This paper introduces the Generalized Tribonacci Hybrid Split Quaternion (GTHSQ), a novel split quaternion with coefficients derived from generalized Tribonacci hybrid numbers.
Yanni Yang, Yong Deng
doaj   +1 more source

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