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Full-Text Articles in Physical Sciences and Mathematics

On The Quadruple Sequence Spaces Of Fuzzy Complex Numbers, Aqeel Mohammed Hussein Oct 2021

On The Quadruple Sequence Spaces Of Fuzzy Complex Numbers, Aqeel Mohammed Hussein

Al-Qadisiyah Journal of Pure Science

In this paper, the quadruple sequence spaces of fuzzy complex numbers are shown, and several features such as solidity, symmetry, monotonicity, and convergence-free are discussed.


Many Known Quantum Algorithms Are Optimal: Symmetry-Based Proofs, Vladik Kreinovich, Oscar Galindo, Olga Kosheleva Jun 2021

Many Known Quantum Algorithms Are Optimal: Symmetry-Based Proofs, Vladik Kreinovich, Oscar Galindo, Olga Kosheleva

Departmental Technical Reports (CS)

Many quantum algorithms have been proposed which are drastically more efficient that the best of the non-quantum algorithms for solving the same problems. A natural question is: are these quantum algorithms already optimal -- in some reasonable sense -- or they can be further improved? In this paper, we review recent results showing that many known quantum algorithms are actually optimal. Several of these results are based on appropriate invariances (symmetries).


Quantum Symmetries In Noncommutative Geometry., Suvrajit Bhattacharjee Dr. Mar 2021

Quantum Symmetries In Noncommutative Geometry., Suvrajit Bhattacharjee Dr.

Doctoral Theses

No abstract provided.


Higher Cohomologies For Presheaves Of Commutative Monoids, Pilar Carrasco, Antonio M. Cegarra Jan 2021

Higher Cohomologies For Presheaves Of Commutative Monoids, Pilar Carrasco, Antonio M. Cegarra

Turkish Journal of Mathematics

We present an extension of the classical Eilenberg-MacLane higher order cohomology theories of abelian groups to presheaves of commutative monoids (and of abelian groups, then) over an arbitrary small category. These high-level cohomologies enjoy many desirable properties and the paper aims to explore them. The results apply directly in several settings such as presheaves of commutative monoids on a topological space, simplicial commutative monoids, presheaves of simplicial commutative monoids on a topological space, commutative monoids or simplicial commutative monoids on which a fixed monoid or group acts, and so forth. As a main application, we state and prove a precise …