Results 11 to 20 of about 681,287 (260)

Direct Sum Testing

open access: yesProceedings of the 2015 Conference on Innovations in Theoretical Computer Science, 2015
The $k$-fold direct sum encoding of a string $a \in \{0,1\}^n$ is a function $f_a$ that takes as input sets $S \subseteq [n]$ of size $k$ and outputs $f_a(S) = \sum_{i \in S} a_i \pmod 2$. In this paper we prove a direct sum testing theorem. We describe a three query test that accepts with probability one any function of the form $f_a$ for some $a$ and
Roee David   +4 more
openaire   +5 more sources

On Some Results of a Torsion-Free Abelian Trace Group

open access: yesRecoletos Multidisciplinary Research Journal, 2014
In [6], givenany torsion-free abelian groups Gand H, the pure trace of Hin Gis *,:,GHHomfHfGHtr which is equivalent to the set ZnGHHomfHfngGgsomefor ,,:.The pure trace GHtr, is a pure fully invariant subgroup of G.
Ricky B. Villeta
doaj   +1 more source

The concept and properties of quasi-rigid $C_{0}$-semigroups [PDF]

open access: yesریاضی و جامعه
In this paper, quasi-rigid $C_{0}$-semigroups are introduced and their properties are investigated. Also, some sufficient conditions for quasi-rigidity are stated. It is proved that quasi-rigid $C_{0}$-semigroups are recurrent. It is stated that if a $C_{
Mansooreh Moosapoor
doaj   +1 more source

Gap Between Operator Norm and Spectral Radius for the Square of Antidiagonal Block Operator Matrices

open access: yesCommunications in Advanced Mathematical Sciences, 2022
In this work, the gap between operator norm and spectral radius for the square of antidiagonal block operator matrices in the direct sum of Banach spaces has been investigated, and also the gap between operator norm and numerical radius for the square of
Elif Otkun Çevik
doaj   +1 more source

Direct imaging of ultrafast electron dynamics by X-ray sum frequency generation [PDF]

open access: yesEPJ Web of Conferences, 2019
We present a nonlinear X-ray technique which provides a spatial electron density image of valence electron excitations. The technique combines a visible pump and an X-ray pulse and yields snapshots of the transition charge densities.
Rouxel Jérémy R.   +3 more
doaj   +1 more source

Notes about Quasi-Mixing Operators [PDF]

open access: yesSahand Communications in Mathematical Analysis
In this article, we introduce quasi-mixing operators and construct various examples. We prove that quasi-mixing operators exist on all finite-dimensional and infinite-dimensional  Banach spaces.
Mansooreh Moosapoor, Ismail Nikoufar
doaj   +1 more source

Intuitionistic fuzzy G-modules with respect to norms (T and S) [PDF]

open access: yesNotes on IFS, 2023
In this paper, we introduced intuitionistic fuzzy G-modules on M under norms (t-norm T and s-conorm S) and some related results like intersection, sum and direct sum of them has also been discussed.
Rasul Rasuli
doaj   +1 more source

Generalization of equitable efficiency in multiobjective optimization problems by the direct sum of matrices [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2023
We suggest an a priori method by introducing the concept of AP - equitable efficiency. The preferences matrix AP , which is based on the partition P of the index set of the objective functions, is given by the decision-maker.
F. Ahmadi   +2 more
doaj   +1 more source

Fuzzy near best approximation as a generalization of fuzzy best approximation [PDF]

open access: yesJournal of Mahani Mathematical Research
‎‎‎Given a fuzzy normed space, we will introduce the notion of fuzzy near best approximation as a generalization of the notion of fuzzy best approximation.
Ali Reza Khoddami, Rasoul Tourani
doaj   +1 more source

Proximinality in generalized direct sums [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
We consider proximinality and transitivity of proximinality for subspaces of finite codimension in generalized direct sums of Banach spaces. We give several examples of Banach spaces where proximinality is transitive among subspaces of finite codimension.
Darapaneni Narayana, T. S. S. R. K. Rao
openaire   +3 more sources

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