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341
Towards secure multiresolution network coding
Published 2010“…We consider schemes which exploit the algebraic structure of network coding to achieve the dual goal of hierarchical fidelity levels and efficient security. …”
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342
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343
The convex algebraic geometry of linear inverse problems
Published 2012“…We study a class of ill-posed linear inverse problems in which the underlying model of interest has simple algebraic structure. We consider the setting in which we have access to a limited number of linear measurements of the underlying model, and we propose a general framework based on convex optimization in order to recover this model. …”
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344
Bornological structures on some algebraic systems
Published 2018“…This work concerns the notion of determining the boundedness of some algebraic structures such as groups and rings. Firstly, a new structure bornological semigroup is considered to determine the boundedness of algebraic structure semigroups. …”
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Thesis -
345
Lower Bounds for Quasi-Cyclic Codes and New Binary Quantum Codes
Published 2023-03-01“…In accordance with the algebraic structure of linear codes, we determine the lower bounds of the symplectic weights of these quasi-cyclic codes. …”
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346
Rough Substructures Based on Overlaps of Successor in Quantales Under Serial Fuzzy Relations
Published 2023-01-01“…The main purpose of this study is to provide basic algebraic structures based on serial fuzzy-relations. In this way, the new approximation space acquires certain appealing algebraic properties. …”
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347
Codimension-2 defects and higher symmetries in (3+1)D topological phases
Published 2023-04-01“…(3+1)D topological phases of matter can host a broad class of non-trivial topological defects of codimension-1, 2, and 3, of which the well-known point charges and flux loops are special cases. The complete algebraic structure of these defects defines a higher category, and can be viewed as an emergent higher symmetry. …”
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348
To Shell Model, or Not to Shell Model, That Is the Question
Published 2022-06-01“…The paper is closed with a sketch of a promising direction in terms of the algebraic structure embodied in the symplectic shell model.…”
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349
Interactive Proofs for Rounding Arithmetic
Published 2022-01-01“…Specifically, we shift the algebraic structure from a field to a ring to better deal with the notion of “digits”, and generalize the original GKR protocol over a ring. …”
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350
Operational algebraic properties and subsemigroups of semigroups in view of k-folded N-structures
Published 2023-07-01“…In this study, we want to broaden the notion of $ k $-F$ \mathcal{N} $S by providing a general algebraic structure for tackling $ k $-folded $ \mathcal{N} $-data by fusing the conception of semigroup and $ k $-F$ \mathcal{N} $S. …”
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351
Theory of Intelligence with Forgetting: Mathematical Theorems Explaining Human Universal Forgetting using “Forgetting Neural Networks”
Published 2018“…In [42] we suggested that any memory stored in the human/animal brain is forgotten following the Ebingghaus curve – in this follow-on paper, we define a novel algebraic structure, a Forgetting Neural Network, as a simple mathematical model based on assuming parameters of a neuron in a neural network are forgotten using the Ebbinghaus forgetting curve. …”
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Technical Report -
352
Exotic matter on singular divisors in F-theory
Published 2018“…These matter representations are associated with Weierstrass models whose discriminants vanish to high order thanks to nontrivial cancellations possible only in the presence of a non-UFD algebraic structure. This structure can be described using the normalization of the ring of intrinsic local functions on a singular divisor. …”
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353
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Picturing resources in concurrency
Published 2018“…In this thesis, we recognise them as a fundamental algebraic structure of concurrency and use them as an axiomatic framework. …”
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356
Image of the Electron Suggested by Nonlinear Electrodynamics Coupled to Gravity
Published 2021-03-01“…Regular spherically symmetric solutions of NED-GR equations that describe electrically charged objects have obligatory de Sitter center due to the algebraic structure of stress–energy tensors for electromagnetic fields. …”
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357
Spectral multiplier theorems for abstract harmonic oscillators on UMD lattices
Published 2023-07-01“…We consider operators acting on a UMD Banach lattice $X$ that have the same algebraic structure as the position and momentum operators associated with the harmonic oscillator $-\frac{1}{2}\Delta + \frac{1}{2}|x|^{2} $ acting on $L^{2}(\mathbb{R}^{d})$. …”
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358
Complex Linear Diophantine Fuzzy Sets over AG-Groupoids with Applications in Civil Engineering
Published 2022-12-01“…The main motivation behind this paper is to study the applications of CLDFS in a non-associative algebraic structure (AG-groupoid), which has received less attention as compared to associative structures. …”
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359
Asymmetric Entanglement-Assisted Quantum MDS Codes Constructed from Constacyclic Codes
Published 2023-11-01“…In order to enhance the asymmetry of asymmetric QEC codes, we utilize entanglement-assisted technology and exploit the algebraic structure of cyclotomic cosets of constacyclic codes to achieve this goal. …”
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360