| 书目名称 | Idempotent Analysis and Its Applications | | 编辑 | Vassili N. Kolokoltsov,Victor P. Maslov | | 视频video | http://file.papertrans.cn/461/460809/460809.mp4 | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | The first chapter deals with idempotent analysis per se . To make the pres- tation self-contained, in the first two sections we define idempotent semirings, give a concise exposition of idempotent linear algebra, and survey some of its applications. Idempotent linear algebra studies the properties of the semirn- ules An , n E N , over a semiring A with idempotent addition; in other words, it studies systems of equations that are linear in an idempotent semiring. Pr- ably the first interesting and nontrivial idempotent semiring , namely, that of all languages over a finite alphabet, as well as linear equations in this sern- ing, was examined by S. Kleene [107] in 1956 . This noncommutative semiring was used in applications to compiling and parsing (see also [1]) . Presently, the literature on idempotent algebra and its applications to theoretical computer science (linguistic problems, finite automata, discrete event systems, and Petri nets), biomathematics, logic , mathematical physics , mathematical economics, and optimizat ion, is immense; e. g. , see [9, 10, 11, 12, 13, 15, 16 , 17, 22, 31 , 32, 35,36,37,38,39 ,40,41,52,53 ,54,55,61,62 ,63,64,68, 71, 72, 73,74,77,78, 79,80,81,82, | | 出版日期 | Book 1997 | | 关键词 | Mathematica; calculus; differential equation; economics; mathematical economics; schrödinger equation; par | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-015-8901-7 | | isbn_softcover | 978-90-481-4834-9 | | isbn_ebook | 978-94-015-8901-7 | | copyright | Springer Science+Business Media Dordrecht 1997 |
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