Results 81 to 90 of about 3,441,413 (166)

Rewrite Rules and Simplification of Matrix Expressions [PDF]

Computer Science Journal of Moldova, 1996
This paper concerns the automated simplification of expressions which involve non-commuting variables. The technology has been applied to the simplification of matrix and operator theory expressions which arise in engineering applications.
John J Wavrik
doaj  

Comparison of XL and Gröbner basis algorithms over Finite Fields

, 2004
This paper compares the XL algorithm with Gröbner basis algorithm. We explain the link between XL computation result and Gröbner basis with the well-known notion of $D$-Gröbner basis.
Faugère, Jean-Charles, Ars, Gwénolé
core   +3 more sources

Gröbner basis algorithms

, 2009
This thesis considers the correctness and termination of two Gröbner basis algorithms. After developing the theory of Gröbner bases, reviewing standard efficiencies, and giving an example of their use, we examine a revised Staggered Linear Basis ...
Dellaca, Roger D.
core  

Structural Properties of The Clifford–Weyl Algebra ${𝒜}_q^{\pm }$

Mathematics
The Clifford–Weyl algebra 𝒜q±, as a class of solvable polynomial algebras, combines the anti-commutation relations of Clifford algebras 𝒜q+ with the differential operator structure of Weyl algebras 𝒜q−. It exhibits rich algebraic and geometric properties.
Jia Zhang, Gulshadam Yunus
doaj   +1 more source

Global identifiability of latent class models with applications to diagnostic test accuracy studies: A Gröbner basis approach. [PDF]

Biometrics, 2020
Duan R, Cao M, Ning Y, Zhu M, Zhang B, McDermott A, Chu H, Zhou X, Moore JH, Ibrahim JG, Scharfstein DO, Chen Y.   +11 more
europepmc   +1 more source

ALGORITMA BASIS GRÖBNER [PDF]

, 2010
Pada polinomial variabel satu, suatu polinomial f dikatakan elemen dari suatu ideal I=Z01;gZ02;⊂K[X] jika sisa pembagian f oleh pembangun dari ideal I adalah nol, sehingga f dapat ditulis f=qg.
Reri Romadhona Fauzi, -
core  

Noncommutative Grobner basis, Hilbert series, Anick's resolution and BERGMAN under MS-DOS [PDF]

Computer Science Journal of Moldova, 1995
The definition and main results connected with Grцbner basis, Hilbert series and Anick's resolution are formulated. The method of the infinity behavior prediction of Grцbner basis in noncommutative case is presented. The extensions of BERGMAN package for
S. Cojocaru, V. Ufnarovski
doaj  

The buchberger Gröbner basis algorithm

, 2014
This Demonstration shows the main steps of Buchberger's Gröbner basis algorithm for a chosen monomial ordering. (Only two choices of monomial ordering are used here.) The input is a basis for an ideal in the ring of polynomials in two variables ...
Kozlowski, Andrzej
core  

A Gröbner Shirshov Basis Approach to Hua's Identity

, 2013
Huas Identität wird als Ergebnis einer Gröbner-Shirshov Basen Berechnung gefunden.Hua's identity is the result of a Gröbner-Shirshov basis ...
Herfort, Wolfgang
core   +1 more source

Non-oral manifestations in adults with a clinical and molecularly confirmed diagnosis of periodontal Ehlers-Danlos syndrome. [PDF]

Front Genet, 2023
Angwin C, Zschocke J, Kammin T, Björck E, Bowen J, Brady AF, Burns H, Cummings C, Gardner R, Ghali N, Gröbner R, Harris J, Higgins M, Johnson D, Lepperdinger U, Milnes D, Pope FM, Sehra R, Kapferer-Seebacher I, Sobey G, Van Dijk FS.   +20 more
europepmc   +1 more source