Computational complexity theory

Ebook "Complexity & cryptography: An introduction" provides that knowledge, combining an informal style with rigorous proofs of the key results to give an accessible introduction. It comes with plenty of examples and exercises (many with hints and solutions), and is based on a highly successful course developed and taught over many years to undergraduate and graduate students in mathematics and computer science.

305p zizaybay1103 29-05-2024 5 2   Download

Ebook Probabilistic & statistical methods in cryptology presents the following content: Chapter 1 classical polyalphabetic substitution ciphers; chapter 2 rsa and probabilistic prime number tests; chapter 3 factorization with quantum computers: shor’s algorithm; chapter 4 physical random-number generators; chapter 5 pseudo-random number generators; chapter 6 an information theory primer; chapter 7 tests for (pseudo-)random number generators; chapter 8 diffie-hellman key exchange; chapter 9 differential cryptanalysis; chapter 10 semantic security; chapter 11 algorithmic complexity; chapter 1...

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This paper proposes an efficient method to determine entire reducts of incomplete decision tables according to the relational database approach. In the complex case, this algorithm has exponential computational complexity. However, this algorithm has polynomial computational complexity in the different cases of databases.

9p dianmotminh02 03-05-2024 3 1   Download

Ebook "Chemical reactions: Basic theory and computing" begins with the problem of determining the chemical reaction properties by first decomposing complex processes into their elementary components. Next, the problem of two colliding mass points is investigated and relationships between initial conditions and collision outcomes are discussed. The failure of classical approaches to match experimental information is discussed and a quantum formulation of the calculation of the properties of two colliding bodies is provided.

214p coduathanh1122 27-03-2024 7 1   Download

Ebook "Theory of charge transport in carbon electronic materials" has been an issue of intensive interests and debates for over 50 years, not only because of the applications in printing electronics, but also because of the great challenges in understanding the electronic processes in complex systems. With the fast developments of both electronic structure theory and the computational technology, the dream of predicting the charge mobility is now gradually becoming a reality.

96p nhanphanguyet 28-01-2024 5 2   Download

Complexity Theory is a central field of the theoretical foundations of computer science. It is concerned with the general study of the intrinsic complexity of computational tasks; that is, it addresses the question of what can be achieved within limited time (and/or with other limited natural computational resources). This book offers a conceptual perspective on Complexity Theory. It is intended to serve as an introduction for advanced undergraduate and graduate students, either as a textbook or for self-study.

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This book aims to describe such recent achievements of complexity theory in the context of the classical results. It is intended to be a text and as well as a reference for self-study. This means it must simultaneously cater to many audiences, and it is carefully designed with that goal. Throughout the book we explain the context in which a certain notion is useful, and why things are defined in a certain way. Examples and solved exercises accompany key definitions.

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This book aims to describe such recent achievements of complexity theory in the context of the classical results. It is intended to both serve as a textbook as a reference for self-study. This means it must simultaneously cater to many audiences, and it is carefully designed with that goal. Throughout the book we explain the context in which a certain notion is useful, and why things are defined in a certain way. Examples and solved exercises accompany key definitions.

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This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and seminars. More than 300 exercises are included with a selected hint set.

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Ebook "Parallel complexity theory" includes content: Introduction, combinational circuits, designing a parallel machine model, variants of the model, space and parallel time, parallel computation with shared memory machines, programming techniques for feasible networks,... and other contents.

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Ebook "Introduction to the theory of computation" includes content: Introduction, regular languages, context free languages, the church turing thesis, decidability, advanced topics in computability theory, time complexity, space complexity,...and other contents.

440p haojiubujain07 20-09-2023 5 4   Download

Ebook "Introduction to complexity theory" includes content: The P vs NP question; NP-completeness and self reducibility; more on NP and some on DTIME; space complex; Non-Deterministic space; inside non-deterministic logarithmic space, randomized computations - non uniform polynomial time, the polynomial hierarchy; the counting class,... and other contents.

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Ebook "The computational complexity of machine learning" includes content: Denitions and motivation for distribution free learning, recent research in computational learning theory, tools for distribution free learning, learning in the presence of errors, lower bounds on sample complexity, cryptographic limitations on polynomial time learning, distribution speci c learning in polynomial time, equivalence of weak learning and group learning, conclusions and open problems.

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Continued part 1, part 2 of ebook "Theory of computer science: Automata, languages and computation" provides readers with contents including: pushdown automata; LR(k) grammars; turing machines and linear bounded automata; decidability and recursively enumerable languages; computability; complexity;...

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Part 1 of ebook "Computing handbook: Computer science and software engineering" provides readers with contents including: structure and organization of computing; computational thinking; data structures; basic techniques for design and analysis of algorithms; graph and network algorithms; computational geometry; complexity theory; formal models and computability; cryptography; algebraic algorithms; some practical randomized algorithms and data structures;...

1126p hanlinhchi 29-08-2023 16 5   Download

The paper shows values of the initial degree and Waldschmidt constant for sets with at most 6 points in all configurations in projective plane. These constants represent the complexity of optimal solutions in repeated path problems that have many applications in computer science, informatics theory and telecommunications.

4p viwhitewolf 11-07-2023 6 2   Download

Organization theory and design: Lecture 14 provides students with content about: manufacturing and service technologies; organizational level manufacturing technology; woodward’s technical complexity categories; computer integrated manufacturing (CIM);... Please refer to the lesson for details!

8p hanlamcoman 26-11-2022 6 3   Download

(BQ) Ebook Analytical and computational methods of advanced engineering mathematics: Part 2 includes the following content: chapter 13 complex numbers and functions, complex differentiation; chapter 14 complex integration; chapter 15 power series, taylor series; chapter 16 laurent series, residue integration; chapter 17 conformal mapping; chapter 18 complex analysis and potential theory; chapter 19 numerics in general; chapter 20 numeric linear algebra C; chapter 21 numerics for ODEs and PDEs; chapter 22 unconstrained optimization, linear programming; chapter 23 graphs, combinatorial optimi...

651p runordie6 10-08-2022 29 2   Download

This book "Computational complexity: A modern approach" aims to describe such recent achievements of complexity theory in the context of more classical results. It is intended to both serve as a textbook and as a reference for self-study. Part 1 of book provide students with knowledge about: basic complexity classes; the computational model - and why it doesn’t matter; NP and NP completeness; the polynomial hierarchy and alternations;...

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This book "Computational complexity: A modern approach" aims to describe such recent achievements of complexity theory in the context of more classical results. It is intended to both serve as a textbook and as a reference for self-study. Part 1 of book provide students with knowledge about: lower bounds for concrete computational models; advanced topics; communication complexity; algebraic computation models; hardness amplification and error correcting codes; proofs of PCP theorems and the Fourier transform technique;...

269p britaikridanik 05-07-2022 14 4   Download