Algorithmic algebra

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  • This introductory book emphasizes algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The presentation alternates between theory and applications in order to motivate and illustrate the mathematics. The mathematical coverage includes the basics of number theory, abstract algebra and discrete probability theory.

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  • Note immediately one difference between linear equations and polynomial equations: theorems for linear equations don’t depend on which field k you are working over, 1 but those for polynomial equations depend on whether or not k is algebraically closed and (to a lesser extent) whether k has characteristic zero. Since I intend to emphasize the geometry in this course, we will work over algebraically closed fields for the major part of the course.

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  • Perhaps the most widely known example of fast algorithms is the fast Fourier transform (FFT) algorithm. Its importance is widely acknowledged and nicely described in numerous papers and monographs, e.g., as follows: "The fast Fourier transform (FFT) is one of the truly great computational developments of this century. It has changed the face of science and engineering so that it is not an exaggeration to say that life as we know it would be very different without FFT" (Charles Van Loan, Computational Frameworks for the Fast Fourier Transform, SIAM Publications, 1992).

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  • Using a recent idea of Gaudry and exploiting rational repre-sentations of algebraic tori, we present an index calculus type a lgorithm for solving the discrete logarithm problem that works directly in these groups.

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  • CAI 2009 was the Third International Conference on Algebraic Informatics. It was intended to cover the topics of algebraic semantics on graphs and trees, formal power series, syntactic objects, algebraic picture processing, finite and infinite computations, acceptors and transducers for strings, trees, graphs, arrays, etc., decision problems, algebraic characterization of logical theories, process algebra, algebraic algorithms, algebraic coding theory, algebraic aspects of cryptography.

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  • Database Management Systems: Chapter 3 - Algorithms for Query Processing and Optimization Introduction to Query Processing; Translating SQL Queries into Relational Algebra; Algorithms for External Sorting; Algorithms for SELECT and JOIN Operations;...

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  • There are many distinct pleasures associated with computer programming. Craftsmanship has its quiet rewards, the satisfaction that comes from building a useful object and making it work. Excitement arrives with the flash of insight that cracks a previously intractable problem. The spiritual quest for elegance can turn the hacker into an artist. There are pleasures in parsimony, in squeezing the last drop of performance out of clever algorithms and tight coding.

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  • The aim of this book, announced in the first edition, is to give a bird’seye view of undergraduate mathematics and a glimpse of wider horizons. The second edition aimed to broaden this view by including new chapters on number theory and algebra, and to engage readers better by including many more exercises. This third (and possibly last) edition aims to increase breadth and depth, but also cohesion, by connecting topics that were previously strangers to each other, such as projective geometry and finite groups, and analysis and combinatorics....

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  • As a companion book of Vaudenay's A Classical Introduction to Cryptography, this exercise book contains a carefully revised version of most of the material used in teaching by the authors or given as examinations to the undergraduate students of the Cryptography and Security lecture at EPFL from 2000 to mid-2005. It covers a majority of the subjects that make up today's cryptology, such as symmetric or public-key cryptography, cryptographic protocols, design, cryptanalysis, and implementation of cryptosystems....

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  • Tham khảo sách 'computer vision algorithms in image algebra by gerhard x. ritter; joseph n. wilson crc', kỹ thuật - công nghệ, tự động hoá phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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  • Knowledge of number theory and abstract algebra are pre–requisites for any engineer designing a secure internet–based system. However, most of the books currently available on the subject are aimed at practitioners who just want to know how the various tools available on the market work and what level of security they impart. These books traditionally deal with the science and mathematics only in so far as they are necessary to understand how the tools work. I

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  • Tham khảo tài liệu 'robotics handbook of computer vision algorithms in image algebra part 1', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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  • Tham khảo tài liệu 'robotics handbook of computer vision algorithms in image algebra part 4', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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  • Tham khảo tài liệu 'robotics handbook of computer vision algorithms in image algebra part 5', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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  • Tham khảo tài liệu 'robotics handbook of computer vision algorithms in image algebra part 7', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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  • Tham khảo tài liệu 'robotics handbook of computer vision algorithms in image algebra part 10', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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  • Tham khảo tài liệu 'robotics handbook of computer vision algorithms in image algebra part 13', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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  • Tham khảo tài liệu 'robotics handbook of computer vision algorithms in image algebra part 14', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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  • Tham khảo tài liệu 'robotics handbook of computer vision algorithms in image algebra part 15', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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  • Tham khảo sách 'handbook of computer vision algorithms in image algebra by gerhard x', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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