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Titlebook: Computational Algebraic Geometry; Frédéric Eyssette,André Galligo Conference proceedings 1993 Birkhäuser Boston 1993 Mathematica.Volume.al

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发表于 2025-3-21 18:30:54 | 显示全部楼层 |阅读模式
书目名称Computational Algebraic Geometry
编辑Frédéric Eyssette,André Galligo
视频video
丛书名称Progress in Mathematics
图书封面Titlebook: Computational Algebraic Geometry;  Frédéric Eyssette,André Galligo Conference proceedings 1993 Birkhäuser Boston 1993 Mathematica.Volume.al
出版日期Conference proceedings 1993
关键词Mathematica; Volume; algebra; algebraic geometry; algebraic number theory; commutative algebra; commutativ
版次1
doihttps://doi.org/10.1007/978-1-4612-2752-6
isbn_softcover978-1-4612-7652-4
isbn_ebook978-1-4612-2752-6Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightBirkhäuser Boston 1993
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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.
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,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.
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,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.
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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,
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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
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