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978-3-211-77416-8Springer-Verlag Vienna 2008hypotension 发表于 2025-3-22 01:33:09
,Strukturveränderung: Gefahr und Chance,Invariant theory is both a classical and a new area of mathematics. It played a central role in 19th century algebra and geometry, yet many of its techniques and algorithms were practically forgotten by the middle of the 20th century.APNEA 发表于 2025-3-22 05:31:40
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,Strukturveränderung: Gefahr und Chance,emain invariant under the action of a finite matrix group Γ ⊂ .(C.). The main result of this chapter is a collection of algorithms for finding a finite set ., .,...,. of fundamental invariants which generate the invariant subring C.. These algorithms make use of the Molien series (Sect. 2.2) and小母马 发表于 2025-3-23 05:50:14
Strukturkrisen: Entwicklung und Ursachen,orithm, to be presented in Sect. 4.6, is derived from Hilbert (1893). We will discuss Hilbert’s algorithm from the point of view of Gröbner bases theory. This chapter is less elementary than the previous three. While most of the presentation is self-contained, familiarity with basic notions of commu