Gastric
发表于 2025-3-30 08:43:56
https://doi.org/10.1007/978-1-4615-7918-2ociate the group π.(.,.. to a topological space . and to one of its points ..; this group is called the . of the space . based on ... This group is null if and only if the space . is ..; in another case, the group measures the lack of simple connectivity. Many other groups can be associated to a top
Introvert
发表于 2025-3-30 15:20:15
http://reply.papertrans.cn/24/2321/232088/232088_52.png
CHOP
发表于 2025-3-30 19:52:00
http://reply.papertrans.cn/24/2321/232088/232088_53.png
Pathogen
发表于 2025-3-30 21:53:22
The Resultant via a Koszul Complex,homogeneous) polynomials is less than or equal to the number of variables.. It was known around 1930 that resultants may be calculated as a Mc Rae invariant of this complex. This expresses the resultant as an alternate product of determinants coming from the differentials of this complex. Demazure e
Agronomy
发表于 2025-3-31 02:24:10
,Gröbner Bases and Standard Monomial Theory,hadri et al. can be used to compute Gröbner bases. This generalizes results of Sturmfels and White in which straightening has been interpreted as a normal form computation with respect to a Gröbner basis.
B-cell
发表于 2025-3-31 06:55:06
Versal deformations of powers of volume forms,. has a μ-parameter versal deformation for almost every value of .. Exceptional values of . form a discrete set of negative rational numbers. Given ., the versal deformation can be obtained algorithmically. For non-exceptional values of . it is the same as the versal deformation of the germ of a fun
与野兽博斗者
发表于 2025-3-31 10:26:53
Applications of Algebraic Geometry to Computer Vision,in vision problems naturally involve polynomial equations; ii) with the increase in available computing power it is easier to implement algorithms which stay close to the geometry underlying vision; and iii) algebraic geometry may in future provide methods for assessing the stability of algorithms a
有帮助
发表于 2025-3-31 13:41:33
,Disproving Hibi’s Conjecture with CoCoA or Projective Curves with bad Hilbert Functions,ly CoCoA (see and )) in order to explicitly construct Cohen-Macaulay domains, which are standard .-algebras and whose Hilbert function is “bad”. In particular we disprove a well-known conjecture by Hibi.
Constitution
发表于 2025-3-31 18:08:38
Counting real zeros in the multivariate case,algebraic set which lie within some algebraic constraint region. We introduce a family of quadratic forms determined by the algebraic constraints and defined in terms of the trace from the coordinate ring of the variety to the ground field, and we show that the rank and signature of these forms are
endarterectomy
发表于 2025-3-31 23:13:53
Finding the number of distinct real roots of sparse polynomials of the form ,,), where . is large. The computation time depends only poly normally on the . of the problem, where this is defined to be the maximum of ., .(.) and .(.), where . is the total degree of p(., .), assumed to be small relative to ., and . is the maximum of the absolute values of the coefficients.