Results 21 to 30 of about 109,360 (279)
BILINEAR MAPS ON ARTINIAN MODULES [PDF]
Journal of Algebra and Its Applications, 2012 It is shown that if a bilinear map f : A × B → C of modules over a commutative ring k is nondegenerate (i.e. if no nonzero element of A annihilates all of B, and vice versa), and A and B are Artinian, then A and B are of finite length. Some consequences are noted.
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Orthosymmetric bilinear map on Riesz spaces [PDF]
Commentationes Mathematicae Universitatis Carolinae, 2015 Summary: Let \(E\) be a Riesz space, \(F\) a Hausdorff topological vector space (t.v.s.). We prove, under a certain separation condition, that any orthosymmetric bilinear map \(T:E\times E\rightarrow F\) is automatically symmetric. This generalizes in certain way an earlier result by \textit{F. Ben Amor} [Positivity 14, No.
Chil, Elmiloud +2 more
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陆军军医大学学报, 2023 Objective To identify ulcerative colitis (UC) and Crohn's disease (CD) with aid of deep learning technology for endoscopists. Methods From January 2018 to November 2020, the endoscopic images of 1 576 subjects (including 34 300 CD, UC and normal images ...
QI Jing +4 more
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Ultrapowers of Banach algebras and modules [PDF]
, 2007 The Arens products are the standard way of extending the product from a Banach algebra $\mc A$ to its bidual $\mc A''$. Ultrapowers provide another method which is more symmetric, but one that in general will only give a bilinear map, which may not be ...
Albiac +5 more
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On the constants in a Kato inequality for the Euler and Navier-Stokes equations [PDF]
, 2010 We continue an analysis, started in [10], of some issues related to the incompressible Euler or Navier-Stokes (NS) equations on a d-dimensional torus T^d. More specifically, we consider the quadratic term in these equations; this arises from the bilinear
A. Abdelrazec +13 more
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Statistical ZAPR Arguments from Bilinear Maps [PDF]
, 2020 Dwork and Naor (FOCS ’00) defined ZAPs as 2-message witness-indistinguishable proofs that are public-coin. We relax this to ZAPs with private randomness (ZAPRs), where the verifier can use private coins to sample the first message (independently of the statement being proved), but the proof must remain publicly verifiable given only the protocol ...
Lombardi, Alex +2 more
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Geometrical foundations of the sampling design with fixed sample size
Ratio Mathematica, 2020 We study the sampling design with fixed sample size from a geometric point of view. The first-order and second-order inclusion probabilities are chosen by the statistician. They are subjective probabilities.
Pierpaolo Angelini
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An Anonymous Authentication and Key Establish Scheme for Smart Grid: FAuth
Energies, 2017 The smart meters in electricity grids enable fine-grained consumption monitoring. Thus, suppliers could adjust their tariffs. However, as smart meters are deployed within the smart grid field, authentication and key establishment between smart grid ...
Yuwen Chen +3 more
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A Privacy-Preserving Noise Addition Data Aggregation Scheme for Smart Grid
Energies, 2018 Smart meters are applied to the smart grid to report instant electricity consumption to servers periodically; these data enable a fine-grained energy supply. However, these regularly reported data may cause some privacy problems.
Yuwen Chen +3 more
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The Hodge theory of Soergel bimodules [PDF]
, 2014 We prove Soergel's conjecture on the characters of indecomposable Soergel bimodules. We deduce that Kazhdan-Lusztig polynomials have positive coefficients for arbitrary Coxeter systems.
Elias, Ben, Williamson, Geordie
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