In computer algebra, the Gröbner fan of an ideal in the ring of polynomials is a concept in the theory of Gröbner bases. It is defined to be a fan consisting...
3 KB (265 words) - 14:37, 9 February 2024
Algebraic geometry (section Gröbner basis)
for this involve Gröbner basis computation. The algorithms which are not based on Gröbner bases use regular chains but may need Gröbner bases in some exceptional...
61 KB (7,500 words) - 06:41, 31 July 2024
MRI contrast agent (redirect from Gadolinium based contrast agent)
(1): 1–2. doi:10.1016/j.mri.2021.10.006. PMID 34662698. S2CID 239027228. Grobner, T. (2005). "Gadolinium – a specific trigger for the development of nephrogenic...
45 KB (4,712 words) - 17:23, 25 June 2024
Filter bank (section Using Gröbner bases)
finite-impulse response filter banks. The basic concept of Gröbner bases is given in Adams. This approach based on multivariate matrix factorization can be used...
39 KB (5,926 words) - 21:06, 12 July 2024
algorithm: finds a Gröbner basis Cantor–Zassenhaus algorithm: factor polynomials over finite fields Faugère F4 algorithm: finds a Gröbner basis (also mentions...
71 KB (7,800 words) - 14:52, 28 June 2024
algorithm: finds a Gröbner basis Cantor–Zassenhaus algorithm: factor polynomials over finite fields Faugère F4 algorithm: finds a Gröbner basis (also mentions...
25 KB (3,016 words) - 11:24, 4 July 2024
Atacama Desert (section Termas Baños de Puritama)
Kuiper, Klaudia; Hurtado, Santiago; Hoffmeister, Dirk; Schulte, Philipp; Gröbner, Marie; Opitz, Stephan; Brückner, Helmut; Bubenzer, Olaf (January 2020)...
56 KB (5,801 words) - 11:41, 1 July 2024
Multirate filter bank and multidimensional directional filter banks (section Mapping-based multidimensional filter banks)
(12): 1475–1486. doi:10.1109/82.809533. S2CID 16382561. Grobner bases, Bruno (1985). "Gröbner Bases: An Algorithmic Method in Polynomial Ideal Theory"...
33 KB (4,925 words) - 10:50, 27 June 2024
MR 1474965. Lauritzen, Niels (2003). Concrete Abstract Algebra: From numbers to Gröbner bases. Cambridge: Cambridge University Press. p. 127. doi:10.1017/CBO9780511804229...
116 KB (14,095 words) - 16:00, 23 June 2024
polynomial rings such as Hensel's lemma, division algorithms (or the theory of Gröbner bases) are also true for the ring of restricted power series. Throughout...
8 KB (1,377 words) - 12:00, 21 July 2024