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Titlebook: Complexity Theory of Real Functions; Ker-I Ko Book 1991 Birkhäuser Boston 1991 Approximation.NP-completeness.Notation.algorithm.algorithms

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发表于 2025-3-21 17:59:55 | 显示全部楼层 |阅读模式
书目名称Complexity Theory of Real Functions
编辑Ker-I Ko
视频video
丛书名称Progress in Theoretical Computer Science
图书封面Titlebook: Complexity Theory of Real Functions;  Ker-I Ko Book 1991 Birkhäuser Boston 1991 Approximation.NP-completeness.Notation.algorithm.algorithms
描述Starting with Cook‘s pioneering work on NP-completeness in 1970, polynomial complexity theory, the study of polynomial-time com­ putability, has quickly emerged as the new foundation of algorithms. On the one hand, it bridges the gap between the abstract approach of recursive function theory and the concrete approach of analysis of algorithms. It extends the notions and tools of the theory of computability to provide a solid theoretical foundation for the study of computational complexity of practical problems. In addition, the theoretical studies of the notion of polynomial-time tractability some­ times also yield interesting new practical algorithms. A typical exam­ ple is the application of the ellipsoid algorithm to combinatorial op­ timization problems (see, for example, Lovasz [1986]). On the other hand, it has a strong influence on many different branches of mathe­ matics, including combinatorial optimization, graph theory, number theory and cryptography. As a consequence, many researchers have begun to re-examine various branches of classical mathematics from the complexity point of view. For a given nonconstructive existence theorem in classical mathematics, one would like
出版日期Book 1991
关键词Approximation; NP-completeness; Notation; algorithm; algorithms; combinatorial optimization; complexity; co
版次1
doihttps://doi.org/10.1007/978-1-4684-6802-1
isbn_softcover978-1-4684-6804-5
isbn_ebook978-1-4684-6802-1
copyrightBirkhäuser Boston 1991
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发表于 2025-3-22 00:09:16 | 显示全部楼层
has quickly emerged as the new foundation of algorithms. On the one hand, it bridges the gap between the abstract approach of recursive function theory and the concrete approach of analysis of algorithms. It extends the notions and tools of the theory of computability to provide a solid theoretical
发表于 2025-3-22 02:54:44 | 显示全部楼层
Advances in Neural Networks - ISNN 2017he derivative itself) then the derivative may be easy to compute. Formally, we prove that the derivative of a polynomial-time computable function is polynomial-time computable if and only if it has a polynomial modulus of continuity. Conversely, we can construct a function / in . such that its derivative exists everywhere but is not computable.
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Smart Innovation, Systems and Technologiesble real functions is then defined, and several characterizations of this class will be given. Other complexity classes of real numbers and real functions, such as . real functions and log-space computable real functions, will be defined in later chapters.
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Abdujelil Abdurahman,Cheng Hu,Haijun Jiangisfies the Lipschitz condition is necessary so that the minimum value .*(.) is computable. For more about the motivations and applications of this problem, see Papadimitriou and Tsitsiklis [1982, 1986].
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Basics in Discrete Complexity Theory, complexity theory. Many important issues in the theory are omitted and most theorems are given without proofs. The reader who wishes to learn more systematically about complexity theory is referred to Garey and Johnson [1979] and Balcázar, Diaz and Gabarró [1988, 1990].
发表于 2025-3-23 04:24:55 | 显示全部楼层
An Optimization Problem in Control Theory,isfies the Lipschitz condition is necessary so that the minimum value .*(.) is computable. For more about the motivations and applications of this problem, see Papadimitriou and Tsitsiklis [1982, 1986].
发表于 2025-3-23 08:20:00 | 显示全部楼层
Book 1991ly emerged as the new foundation of algorithms. On the one hand, it bridges the gap between the abstract approach of recursive function theory and the concrete approach of analysis of algorithms. It extends the notions and tools of the theory of computability to provide a solid theoretical foundatio
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