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Structure vs Randomness for Bilinear Maps [PDF]
Discrete Analysis, 2022 Structure vs randomness for bilinear maps, Discrete Analysis 2022:12, 21 pp. A _tensor_ can be thought of as a higher-dimensional analogue of a matrix (where a matrix is 2-dimensional).
Guy Moshkovitz, Alex Cohen
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On extensions of bilinear maps
Mathematica Slovaca, 2022 Abstract The paper deals with extension of bounded bilinear maps. It gives a necessary and sufficient condition for extending a bounded bilinear map on the Cartesian product of subspaces of Banach spaces. This leads to a full characterization for extension of bounded bilinear maps on the Cartesian product of arbitrary subspaces of ...
CARLOS S Kubrusly
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Downscaling the spatial resolution of satellite imagery based on morphometric parameters to estimate the Topographic Wetness Index using GIS tools [PDF]
Scientific ReportsDigital elevation models (DEMs) play a key role in extracting morphometric factors like fill sink, flow accumulation, profile, flow width, slope, plan curvature, aspect, and total catchment to estimate the Topographic Wetness Index (TWI) that provides ...
Haider Shabbir +6 more
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Division, Adjoints, and Dualities of Bilinear Maps [PDF]
Communications in Algebra, 2013 The distributive property can be studied through bilinear maps and various morphisms between these maps. The adjoint-morphisms between bilinear maps establish a complete abelian category with projectives and admits a duality. Thus the adjoint category is not a module category but nevertheless it is suitably familiar.
James B Wilson
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On orthosymmetric bilinear maps
Positivity, 2009 In this paper the author proves, among other things, the following two result: the first one states that if \(A\) is an Archimedean almost \(f\)-algebra and if \(D\) is an order-bounded derivation on \(A\), then \(D(abc)=0\) and \((D(ab))^3=0\) for all \(a, b, c \in A\). This result has been obtained independently by \textit{A. Toumi} and \textit{M. A.
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Color Image Encryption Based on 3D-SBFCM with Dynamic Rectangular Partitioning and Dynamic S-Box Substitution [PDF]
EntropyExisting chaos-based color image encryption algorithms still face several challenges, including insufficient dynamical complexity of low-dimensional chaotic maps, residual boundary regularity caused by fixed block partitioning, and limited diffusion ...
Ting Wang +4 more
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Bilinear cryptography using Lie algebras from p-groups [PDF]
Mathematics and Computational Sciences, 2021 Pairings are particular bilinear maps, and they have been defined based on elliptic curves whichare abelian groups. In cryptography and security problems use these pairings. Mrabet et al. proposedpairings from a tensor product of groups in 2013.
Elaheh Khamseh
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Three Representation Types for Systems of Forms and Linear Maps
Mathematics, 2021 We consider systems of bilinear forms and linear maps as representations of a graph with undirected and directed edges. Its vertices represent vector spaces; its undirected and directed edges represent bilinear forms and linear maps, respectively.
Abdullah Alazemi +4 more
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Linear Algebra and its Applications, 2021 12 pages, 1 figure; several minor revisions before ...
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Nonsingular bilinear maps revisited [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020 AbstractA bilinear map $\varPhi :\mathbb {R}^r\times \mathbb {R}^s\to \mathbb {R}^n$ is nonsingular if $\varPhi (\overrightarrow {a},\overrightarrow {b})=\overrightarrow {0}$ implies $\overrightarrow {a}=\overrightarrow {0}$ or $\overrightarrow {b}=\overrightarrow {0}$.
Domínguez, Carlos, Lam, Kee Yuen
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