Results 21 to 30 of about 95,138 (309)
Empirical study on the construction of a cognitive model of factorization in eighth-grade students
Frontiers in Psychology, 2023 The construction of cognitive models is the basis for cognitive diagnosis, and the cognitive models will change based on the purpose of the study. According to the purpose of mathematical education, the cognitive factorization model is constructed based ...
Xu Zhangtao +4 more
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Analysis of the RSA-cryptosystem in abstract number rings
Журнал Белорусского государственного университета: Математика, информатика, 2020 Quantum computers can be a real threat to some modern cryptosystems (such as the RSA-cryptosystem). The analogue of the RSA-cryptosystem in abstract number rings is not affected by this threat, as there are currently no factorization algorithms using ...
Nikita V. Kondratyonok
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Towards Ordinal Data Science [PDF]
Transactions on Graph Data and Knowledge, 2023 Order is one of the main instruments to measure the relationship between objects in (empirical) data. However, compared to methods that use numerical properties of objects, the amount of ordinal methods developed is rather small.
Stumme, Gerd +2 more
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Multiscale Modeling & Simulation, 2015 The paper introduces the butterfly factorization as a data-sparse approximation for the matrices that satisfy a complementary low-rank property. The factorization can be constructed efficiently if either fast algorithms for applying the matrix and its adjoint are available or the entries of the matrix can be sampled individually.
Yingzhou Li +4 more
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Zero product preserving bilinear operators acting in sequence spaces
Karpatsʹkì Matematičnì Publìkacìï, 2020 Consider a couple of sequence spaces and a product function $-$ a canonical bilinear map associated to the pointwise product $-$ acting in it. We analyze the class of "zero product preserving" bilinear operators associated with this product, that are ...
E. Erdoğan
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Journal of Mathematical Cryptology, 2020 Abstract We introduce a new approach to (deterministic) integer factorisation, which could be described in the cryptographically fashionable term of “factoring with hints”: we prove that, for any ϵ > 0, given the knowledge of the factorisations of O
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Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies
Symmetry, Integrability and Geometry: Methods and Applications, 2011 In the case of barotropic FRW cosmologies, the Hubble parameter in conformal time is the solution of a simple Riccati equation of constant coefficients.
Haret C. Rosu, Kira V. Khmelnytskaya
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Continuous Homomorphisms Defined on (Dense) Submonoids of Products of Topological Monoids
Axioms, 2020 We study the factorization properties of continuous homomorphisms defined on a (dense) submonoid S of a Tychonoff product D = ∏ i ∈ I D i of topological or even topologized monoids.
Mikhail Tkachenko
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Preconditioning of wavelet BEM by the incomplete Cholesky factorization [PDF]
, 2012 The present paper is dedicated to the preconditioning of boundary element matrices which are given in wavelet coordinates. We investigate the incomplete Cholesky factorization for a pattern which includes also the coefficients of all off-diagonal bands ...
Harbrecht, Helmut
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Applied Categorical Structures, 2020 We introduce and investigate the category of factorization of a multiplicative, commutative, cancellative, pre-ordered monoid $A$, which we denote $\mathcal{F}(A)$. The objects of $\mathcal{F}(A)$ are factorizations of elements of $A$, and the morphisms in $\mathcal{F}(A)$ encode combinatorial similarities and differences between the factorizations. We
Brandon Goodell, Sean Sather-Wagstaff
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