Results 1 to 10 of about 726,677 (214)
The Subpower Membership Problem for Finite Algebras with Cube Terms [PDF]
Logical Methods in Computer Science, 2019 The subalgebra membership problem is the problem of deciding if a given element belongs to an algebra given by a set of generators. This is one of the best established computational problems in algebra.
Andrei Bulatov +2 more
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Associative Ternary Algebras and Ternary Lie Algebras at Cube Roots of Unity
MathematicsWe propose an approach to extend the concept of a Lie algebra to ternary structures based on ω-symmetry, where ω is a primitive cube root of unity. We give a definition of a corresponding structure, called a ternary Lie algebra at cube roots of unity, or
Anti Maria Aader +2 more
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Poincaré type inequalities on the discrete cube and in the CAR algebra [PDF]
Probability Theory and Related Fields, 2007 We prove Lp Poincaré inequalities with suitable dimension free constants for functions on the discrete cube {−1, 1}n. As well known, such inequalities for p an even integer allow to recover an exponential inequality hence the concentration phenomenon ...
L. Ben Efraim, F. Lust-Piquard
semanticscholar +9 more sources
Initial Optimization Techniques for the Cube Algebra Query Language
International Journal of Data Warehousing and Mining, 2022 A common model used in addressing today's overwhelming amounts of data is the OLAP Cube. The OLAP community has proposed several cube algebras, although a standard has still not been nominated. This study focuses on a recent addition to the cube algebras:
Thomas Mercieca +2 more
semanticscholar +3 more sources
A Cube Algebra with Comparative Operations: Containment, Overlap, Distance and Usability [PDF]
arXiv.org, 2022 In this paper, we provide a comprehensive rigorous modeling for multidimensional spaces with hierarchically structured dimensions in several layers of abstractions and data cubes that live in such spaces.
Panos Vassiliadis
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Ternary Associativity and Ternary Lie Algebras at Cube Roots of Unity [PDF]
AxiomsWe propose a new approach to extend the notion of commutator and Lie algebra to algebras with ternary multiplication laws. Our approach is based on the ternary associativity of the first and second kinds.
Viktor Abramov
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The data cube as a typed linear algebra operator [PDF]
Proceedings of The 16th International Symposium on Database Programming Languages, 2017 There is a need for a typed notation for linear algebra applicable to the fields of econometrics and data mining. In this paper we show that such a notation exists and can be useful in formalizing and reasoning about data aggregation operations.One such operation - the construction of a data cube - is shown to be easily expressible as a linear algebra ...
José N. Oliveira, Hugo Daniel Macedo
semanticscholar +4 more sources
A convergence on Boolean algebras generalizing the convergence on the Aleksandrov cube [PDF]
, 2013 We compare the forcing related properties of a complete Boolean algebra B with the properties of the convergences $\lambda_s$ (the algebraic convergence) and $\lambda_{ls}$ on B generalizing the convergence on the Cantor and Aleksandrov cube respectively.
Aleksandar Pavlović +19 more
core +5 more sources
Naturally dualizable algebras omitting types 1 and 5 have a cube term
Algebra Universalis, 2015 An early result in the theory of Natural Dualities is that an algebra with a near unanimity (NU) term is dualizable. A converse to this is also true: if V(A) is congruence distributive and A is dualizable, then A has an NU term.
Moore, Matthew
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The number of two-term tilting complexes over symmetric algebras with radical cube zero [PDF]
Annals of Combinatorics, 2018 In this paper, we compute the number of two-term tilting complexes for an arbitrary symmetric algebra with radical cube zero over an algebraically closed field.
Takahide Adachi, Toshitaka Aoki
openalex +2 more sources