MORT
发表于 2025-3-26 21:23:16
Free Resolutions,sive syzygy modules of .. In this chapter, we will study resolutions and the information they encode about .. Throughout this chapter, . will denote the polynomial ring .[..,..., ..] or one of its localizations.
BROTH
发表于 2025-3-27 04:14:13
0072-5285 e computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applica
BABY
发表于 2025-3-27 07:04:47
Resultants,tant and explore its generalization to several polynomials in several variables. This . can be used to eliminate variables from three or more equations and, as we will see at the end of the chapter, it is a surprisingly powerful tool for finding solutions of equations.
CODA
发表于 2025-3-27 09:50:21
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傻瓜
发表于 2025-3-27 14:25:13
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诱骗
发表于 2025-3-27 19:11:49
Algebraic Coding Theory, this structure to develop good encoding and decoding algorithms. Finally, we will introduce the Reed-Muller and geometric Goppa codes, where algebraic geometry is used in the construction of the code itself.
恸哭
发表于 2025-3-27 22:32:27
Introduction,ion of coordinates to describe points in Euclidean space and his idea of describing curves and surfaces by algebraic equations. Over the long history of the subject, both powerful general theories and detailed knowledge of many specific examples have been developed. Recently, with the development of
小官
发表于 2025-3-28 04:38:57
Solving Polynomial Equations,n the elimination properties of lexicographic Gröbner bases. Combining elimination with numerical root-finding for one-variable polynomials we get a conceptually simple method that generalizes the usual techniques used to solve systems of linear equations. However, there are potentially severe diffi
单色
发表于 2025-3-28 08:41:51
Resultants,tant of two polynomials is well known and is implemented in many computer algebra systems. In this chapter, we will review the properties of the resultant and explore its generalization to several polynomials in several variables. This . can be used to eliminate variables from three or more equation
暗语
发表于 2025-3-28 10:39:08
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