讽刺文章
发表于 2025-3-21 16:12:48
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Precursor
发表于 2025-3-21 23:14:28
Numerical Decomposition of the Rank-Deficiency Set of a Matrix of Multivariate Polynomials,.:= ℂ.. The sets ., consisting of .∊. where the rank of the matrix function .(.) is at most ., arise in a variety of contexts: for example, in the description of both the singular locus of an algebraic set and its fine structure; in the description of the degeneracy locus of maps between algebraic s
Fortify
发表于 2025-3-22 04:24:50
Towards Geometric Completion of Differential Systems by Points,iciently approximated by Numerical Homotopy Continuation methods, as the intersection of random linear varieties with the components. We outline challenges and progress for extending such ideas to systems of differential polynomials, where prolongation (differentiation) of the equations is required
不可接触
发表于 2025-3-22 07:31:16
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Seizure
发表于 2025-3-22 11:14:04
Regularization and Matrix Computation in Numerical Polynomial Algebra,ng the challenges we must face when solving polynomial algebra problems with floating-point arithmetic, the most frequently encountered difficulties include the regularization of ill-posedness and the handling of large matrices. We develop regularization principles for reformulating the ill-posed al
Debrief
发表于 2025-3-22 15:46:20
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JOG
发表于 2025-3-22 19:04:26
ApCoA = Embedding Commutative Algebra into Analysis, analytical concepts and techniques. I look at the particular case of Gröbner bases: an important tool in exact commutative algebra which needs non-trivial adaptation (into border bases) when moving into the world of approximate commutative algebra.
迫击炮
发表于 2025-3-23 00:19:02
Exact Certification in Global Polynomial Optimization Via Rationalizing Sums-Of-Squares,lic-numeric algorithms compute minimal deformations of those coefficients that yield non-trivial results, .. polynomial factorizations or sparse interpolants. The question is: are the computed approximations the globally nearest to the input?.We present a new alternative to numerical optimization, n
下船
发表于 2025-3-23 04:59:15
Mine: Ausblendung von Mikropolitik,problems. Using a modelling problem for the optimization of oil production as a motivation, we present several recent developments involving border bases of polynomial ideals. After recalling the foundations of border basis theory in the exact case, we present a number of approximate techniques such
声明
发表于 2025-3-23 08:02:23
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