Results 11 to 20 of about 28,930 (269)
CoRR, 2020 Factorization -- a simple form of standardization -- is concerned with reduction strategies, i.e. how a result is computed. We present a new technique for proving factorization theorems for compound rewriting systems in a modular way, which is inspired by the Hindley-Rosen technique for confluence.
Accattoli, Beniamino +2 more
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A method of factoring and the factorization of 𝐹₇ [PDF]
Mathematics of Computation, 1975 The continued fraction method for factoring integers, which was introduced by D. H. Lehmer and R. E. Powers, is discussed along with its computer implementation. The power of the method is demonstrated by the factorization of the seventh Fermat number
Morrison, Michael A., Brillhart, John
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Discrete Applied Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Golnaz Badkobeh +7 more
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Complete-factors and f-factors
Discrete Mathematics, 2000 Let \(G\) be a graph and \(F\) a spanning subgraph of \(G\) with at least two components and with all components complete. Let \(f\) be an integer-valued function defined on \(V(G)\) with \(\sum_{x \in V(G)} f(x)\) even. If for each component \(C\) of \(F\), \(G - V(C)\) has an \(f\)-factor (that is, a spanning subgraph \(H\) in which \(\deg_H(x) = f(x)
Hikoe Enomoto, Taro Tokuda
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Elementary theory of cubics and quartics
Lietuvos Matematikos Rinkinys, 2017 It is proved that cubic and quartic equations in real numbers can be solved elementarily, avoiding complex numbers and derivatives. Corresponding algorithms are presented.
Juozas Juvencijus Mačys
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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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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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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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