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A matrix representation for sustainable activities [PDF]

open access: yesScientific Reports, 2022
The present paper develops a matrix framework to determine the sustainability of multiple activities simultaneously. We define an activity as an action or process involving multiple resources; each activity depends upon other activities at a higher level.
A. S. Mahmud, D. S. Zachary
doaj   +5 more sources

On Matrix Representation of Extension Field GF(pL) and Its Application in Vector Linear Network Coding [PDF]

open access: yesEntropy
For a finite field GF(pL) with prime p and L>1, one of the standard representations is L×L matrices over GF(p) so that the arithmetic of GF(pL) can be realized by the arithmetic among these matrices over GF(p). Based on the matrix representation of GF(pL)
Hanqi Tang   +4 more
doaj   +2 more sources

Asymmetric Truncated Hankel Operators: Rank One, Matrix Representation [PDF]

open access: goldJournal of Function Spaces, 2021
Asymmetric truncated Hankel operators are the natural generalization of truncated Hankel operators. In this paper, we determine all rank one operators of this class.
Firdaws Rahmani, Yufeng Lu, Ran Li
doaj   +2 more sources

A new approach to MCDM problems by fuzzy binary soft sets [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2023
Many real-world problems face strenuous in making decisions. Many theories have evolved for dealing with such problems. The present paper deals with Fuzzy Binary Soft Sets and their applications to Multi Criteria Decision Making (MCDM) problems.
P Patil, Vyshakha Elluru, S Shivashankar
doaj   +1 more source

On Properties of Five-dimensional Nonstandard Filiform Lie algebra

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2023
In this paper, we study the five-dimensional nonstandard Filiform Lie algebra and their basis elements representations. The aim of this research is to determine the basis elements of five-dimensional nonstandard Filiform Lie algebras representation in ...
Ricardo Eka Putra   +2 more
doaj   +1 more source

Matrix Representations for a Class of Eigenparameter Dependent Sturm–Liouville Problems with Discontinuity

open access: yesAxioms, 2023
Matrix representations for a class of Sturm–Liouville problems with eigenparameters contained in the boundary and interface conditions were studied. Given any matrix eigenvalue problem of a certain type and an eigenparameter-dependent condition, a class ...
Shuang Li, Jinming Cai, Kun Li
doaj   +1 more source

Categories, Quantum Computing, and Swarm Robotics: A Case Study

open access: yesMathematics, 2022
The swarms of robots are examples of artificial collective intelligence, with simple individual autonomous behavior and emerging swarm effect to accomplish even complex tasks.
Maria Mannone   +2 more
doaj   +1 more source

Computing matrix representations [PDF]

open access: yesMathematics of Computation, 2010
Summary: Let \(G\) be a finite group and \(\chi\) a faithful irreducible character for \(G\). Earlier papers by the first author describe techniques for computing a matrix representation for \(G\) which affords \(\chi\) whenever the degree \(\chi(1)\) is less than \(32\).
Dabbaghian, Vahid, Dixon, John D.
openaire   +2 more sources

Some Special Integer Partitions Generated by a Family of Functions

open access: yesTrends in Computational and Applied Mathematics, 2023
  In this work, inspired by Ramanujan’s fifth order Mock Theta function f1(q), we define a collection of functions and look at them as generating functions for partitions of some integer n containing at least m parts equal to each one of the numbers from
M. L. Matte
doaj   +1 more source

Matrix representation of a cross product and related curl-based differential operators in all space dimensions

open access: yesOpen Mathematics, 2021
A higher dimensional generalization of the cross product is associated with an adequate matrix multiplication. This index-free view allows for a better understanding of the underlying algebraic structures, among which are generalizations of Grassmann’s ...
Lewintan Peter
doaj   +1 more source

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