Results 11 to 20 of about 656,194 (294)

Direct sum of Intuitionistic fuzzy quasi injective s-act

Academic Science Journal
In order to define the intuitionistic fuzzy s-act of the direct sum Ai ⨁ Aj, we first introduce the idea of the direct sum of intuitionistic fuzzy s-act (L = Li ⨁ Lj) of A and go over a few associated properties if Li and Lj are intuitionistic fuzzy s ...
Jeehan Sabah Mahmood , Arbah S. Abdul Kareem   +1 more
doaj   +3 more sources

New Direct Sum Tests [PDF]

CoRR
A function $f:[n]^{d} \to \mathbb{F}_2$ is a \defn{direct sum} if there are functions $L_i:[n]\to \mathbb{F}_2$ such that ${f(x) = \sum_{i}L_i(x_i)}$. In this work we give multiple results related to the property testing of direct sums. Our first result concerns a test proposed by Dinur and Golubev in 2019. We call their test the Diamond test and show
Alek Westover, Edward Yu, Kai Zhe Zheng
openaire   +5 more sources

On the direct sum conjecture

Linear Algebra and its Applications, 1981
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feig, Ephraim, Winograd, Shmuel
openaire   +2 more sources

Spectrum of the direct sum of operators

Electronic Journal of Differential Equations, 2012
We study the connection between spectral properties of direct the sum of operators in the direct sum of Hilbert spaces and its coordinate operators.
Elif Otkun Cevik, Zameddin I. Ismailov
doaj   +1 more source

Pseudospectra of the direct sum of linear operators in ultrametric Banach spaces

Қарағанды университетінің хабаршысы. Математика сериясы
In this paper, a characterization of essential pseudospectra of bounded linear operators on ultrametric Banach spaces over a spherically complete field was given and the notions of pseudospectra and condition pseudospectra of the direct sum of linear ...
J. Ettayb
doaj   +2 more sources

An abstract approach to some spectral problems of direct sum differential operators

Electronic Journal of Differential Equations, 2003
In this paper, we study the common spectral properties of abstract self-adjoint direct sum operators, considered in a direct sum Hilbert space. Applications of such operators arise in the modelling of processes of multi-particle quantum mechanics ...
Maksim S. Sokolov
doaj   +2 more sources

Systematics of U-spin sum rules for systems with direct sums

Journal of High Energy Physics
A rich mathematical structure underlying flavor sum rules has been discovered recently. In this work, we extend these findings to systems with a direct sum of representations. We prove several results for the general case.
Margarita Gavrilova, Stefan Schacht
doaj   +3 more sources

Adventures in Decoding Direct Sum Codes [PDF]

, 2021
Our adventures take us through several problems related to decoding a class of error-correcting codes known as direct sum codes. These codes are obtained from a base code $\mathcal{C}_0 \subseteq \mathbb{F}_2^n$ by summing the entries of each codeword on
Quintana, Dylan
core   +1 more source

Supermixing and hypermixing of strongly continuous semigroups and their direct sum

Journal of Taibah University for Science, 2021
Supermixing and hypermixing strongly continuous semigroups are introduced in this paper. It is proved that supermixing preserves under quasiconjugacy. Moreover, it is established that if a strongly continuous semigroup is supermixing(hypermixing), then ...
Mansooreh Moosapoor
doaj   +1 more source

Direct Sum and Partitionability Testing over General Groups [PDF]

, 2021
A function f(x₁, … , x_n) from a product domain ₁ × ⋯ × _n to an abelian group is a direct sum if it is of the form f₁(x₁) + ⋯ + f_n(x_n). We present a new 4-query direct sum test with optimal (up to constant factors) soundness error. This generalizes a
Prakriya, Gautam, Bogdanov, Andrej
core   +1 more source