calcification
发表于 2025-3-21 18:30:54
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CAPE
发表于 2025-3-21 22:36:30
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goodwill
发表于 2025-3-22 04:03:51
Locally effective objects and algebraic topology,ll 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 topological space, evaluating certain properties of this space: homology groups,.-theory groups,etc.
咽下
发表于 2025-3-22 04:41:21
,Complexity of Bezout’s Theorem II Volumes and Probabilities,systems is .. where . = Π .. is the Be zout number. We estimate the volume of the subspace of badly conditioned problems and show that volume is bounded by a small degree polynomial in ., . and . times the reciprocal of the condition number to the fourth power. Here . is the dimension of the space of systems.
努力赶上
发表于 2025-3-22 12:48:11
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黄油没有
发表于 2025-3-22 14:35:52
,Decision of Algebra Isomorphisms Using Gröbner Bases, problem. One is to compute the radical of . directly and then to rewrite the above determinant . modulo this radical. The other method is to judge solvability of a certain system of algebraic equations: the union of . and a new polynomial. As a result, it is shown that the isomorphism problem for finitely presented algebras is decidable.
黄油没有
发表于 2025-3-22 18:33:27
The Resultant via a Koszul Complex,ou, however from a rather different point of view). So, I will give here elementary and short proofs of the theorems needed—except the well-known acyclicity of the Koszul complex and the “Principal Theorem of Elimination”—and present some useful remarks leading to the subsequent algorithm. In fact,
失眠症
发表于 2025-3-23 00:11:07
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固执点好
发表于 2025-3-23 03:00:10
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jumble
发表于 2025-3-23 06:27:37
Damped Motion of Shear Buildings show how the information provided by the individual quadratic forms may be combined to determine the number of real points satisfying a conjunction of constraints. The complexity of the computation is polynomial in the dimension as a vector space of the quotient ring associated to the defining equa