Results 11 to 20 of about 3,856,070 (304)
An Optimized Algebraic Basis for Molecular Potentials [PDF]
The Journal of Physical Chemistry A, 2007 29 pages, 4 tables and 4 figures, latex. Sumbitted to J. Phys.
A. Bordoni, N. Manini
openaire +5 more sources
Algebraic Cryptanalysis Scheme of AES-256 Using Gröbner Basis [PDF]
Journal of Electrical and Computer Engineering, 2017 The zero-dimensional Gröbner basis construction is a crucial step in Gröbner basis cryptanalysis on AES-256. In this paper, after performing an in-depth study on the linear transformation and the system of multivariate polynomial equations of AES-256 ...
Kaixin Zhao, Jie Cui, Zhiqiang Xie
doaj +2 more sources
An integral basis for the universal enveloping algebra of the Onsager algebra [PDF]
Communications in Algebra, 2021 We construct an integral form for the universal enveloping algebra of the Onsager algebra and an explicit integral basis for this integral form. We also formulate straightening identities among some products of basis elements.
Angelo Bianchi, Samuel Chamberlin
openaire +2 more sources
Standard basis in supersymplectic algebras [PDF]
Proceedings of the National Academy of Sciences, 1989 An integral standard basis is given for products of Pfaffians containing positively and negatively signed variables. Applications to invariant theory are derived.
G C, Rota, J A, Stein
openaire +2 more sources
Independence algebras, basis algebras and the distributivity condition [PDF]
Acta Mathematica Hungarica, 2020 Stable basis algebras were introduced by Fountain and Gould and developed in a series of articles. They form a class of universal algebras, extending that of independence algebras. If a stable basis algebra $\mathbb{B}$ of finite rank satisfies the distributivity condition (a condition satisfied by all the previously known examples), it is a reduct of ...
Gould, Victoria, Bentz, Wolfram Florian
openaire +4 more sources
A short history of algebraic statistics [PDF]
, 2008 In algebraic statistics, computational techniques from algebraic geometry become tools to address statistical problems. This, in turn, may prompt research in algebraic geometry. The basic ideas at the core of algebraic statistics will be presented. In
Eva Riccomagno, Riccomagno, Eva
core +1 more source
A Basis for Free Assosymmetric Algebras
Journal of Algebra, 1996 The authors exhibit a natural basis for free assosymmetric algebras, i.e. algebras in which the associator \(\{x,y,z\}\) satisfies \(\{a,b,c\} = \{p(a),p(b),p(c)\}\) for all permutations \(p\) on \(a,b,c\). If \(F\) is a field of characteristic \(\neq 2\) and 3, \(S\) a set of generators, \(F[S]\) the free nonassociative algebra over \(F\) generated by
Hentzel, Irvin Roy +2 more
openaire +2 more sources
Quadratic forms and linear algebraic groups [PDF]
, 2009 Topics discussed at the workshop Quadratic Forms and Linear Algebraic Groups included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic groups and homogeneous varieties ...
Harbater, David +6 more
core +1 more source
Fast change of basis in algebras
Applicable Algebra in Engineering, Communication and Computing, 1992 The \(n\)-dimensional algebra \({\mathcal A}\) has basis \({\mathbf b}\). The structure constants relative to a new basis \({\mathbf c}\), with \({\mathbf b}Q={\mathbf c}\), can be computed in \(O(n^ 5)\) arithmetic operations. However, the authors show that the problem can be solved in time \(O(n^ 4)\).
Hentzel, Irvin, Jacobs, David
openaire +4 more sources
Algebraic entropy for algebraic maps [PDF]
, 2015 We propose an extension of the concept of algebraic entropy, as introduced by Bellon and Viallet for rational maps, to algebraic maps (or correspondences) of a certain kind. The corresponding entropy is an index of the complexity of the map.
Hone, A. N. W. +4 more
core +1 more source