Binary Quadratic Forms

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Publisher : Springer Science & Business Media
ISBN 13 : 1461245427
Total Pages : 249 pages
Book Rating : 4.21/5 ( download)

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Book Synopsis Binary Quadratic Forms by : Duncan A. Buell

Download or read book Binary Quadratic Forms written by Duncan A. Buell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first coherent exposition of the theory of binary quadratic forms was given by Gauss in the Disqnisitiones Arithmeticae. During the nine teenth century, as the theory of ideals and the rudiments of algebraic number theory were developed, it became clear that this theory of bi nary quadratic forms, so elementary and computationally explicit, was indeed just a special case of a much more elega,nt and abstract theory which, unfortunately, is not computationally explicit. In recent years the original theory has been laid aside. Gauss's proofs, which involved brute force computations that can be done in what is essentially a two dimensional vector space, have been dropped in favor of n-dimensional arguments which prove the general theorems of algebraic number the ory. In consequence, this elegant, yet pleasantly simple, theory has been neglected even as some of its results have become extremely useful in certain computations. I find this neglect unfortunate, because binary quadratic forms have two distinct attractions. First, the subject involves explicit computa tion and many of the computer programs can be quite simple. The use of computers in experimenting with examples is both meaningful and enjoyable; one can actually discover interesting results by com puting examples, noticing patterns in the "data," and then proving that the patterns result from the conclusion of some provable theorem.

Binary Quadratic Forms

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540463682
Total Pages : 328 pages
Book Rating : 4.89/5 ( download)

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Book Synopsis Binary Quadratic Forms by : Johannes Buchmann

Download or read book Binary Quadratic Forms written by Johannes Buchmann and published by Springer Science & Business Media. This book was released on 2007-06-22 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with algorithmic problems related to binary quadratic forms. It uniquely focuses on the algorithmic aspects of the theory. The book introduces the reader to important areas of number theory such as diophantine equations, reduction theory of quadratic forms, geometry of numbers and algebraic number theory. The book explains applications to cryptography and requires only basic mathematical knowledge. The author is a world leader in number theory.

Antonio Salieri and Viennese Opera

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Publisher : University of Chicago Press
ISBN 13 : 9780226711256
Total Pages : 688 pages
Book Rating : 4.50/5 ( download)

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Book Synopsis Antonio Salieri and Viennese Opera by : John A. Rice

Download or read book Antonio Salieri and Viennese Opera written by John A. Rice and published by University of Chicago Press. This book was released on 1998 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

What Are Binary and Hexadecimal Numbers?

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Publisher : The Rosen Publishing Group, Inc
ISBN 13 : 1508155119
Total Pages : 26 pages
Book Rating : 4.19/5 ( download)

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Book Synopsis What Are Binary and Hexadecimal Numbers? by : Patricia Harris, Ph.D.

Download or read book What Are Binary and Hexadecimal Numbers? written by Patricia Harris, Ph.D. and published by The Rosen Publishing Group, Inc. This book was released on 2017-07-15 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary students around the globe are taught to count using a base-10 number system. We form numbers using the 10 digits of our base-10 system�zero through nine. Inside this book, readers discover other number systems people have used throughout history. With a binary system, computers only use two digits�0 and 1. So how does a computer count to 10? Readers will learn the answer inside this book. Also included is a review of hexadecimal numbers, which serve as the old basis of assembly languages and can still be found today setting colors on the web. This volume meets math standards addressing number systems other than base 10.

Scalable Dynamic Analysis of Binary Code

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Publisher : Linköping University Electronic Press
ISBN 13 : 9176850498
Total Pages : 73 pages
Book Rating : 4.97/5 ( download)

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Book Synopsis Scalable Dynamic Analysis of Binary Code by : Ulf Kargén

Download or read book Scalable Dynamic Analysis of Binary Code written by Ulf Kargén and published by Linköping University Electronic Press. This book was released on 2019-08-22 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, binary code analysis, i.e., applying program analysis directly at the machine code level, has become an increasingly important topic of study. This is driven to a large extent by the information security community, where security auditing of closed-source software and analysis of malware are important applications. Since most of the high-level semantics of the original source code are lost upon compilation to executable code, static analysis is intractable for, e.g., fine-grained information flow analysis of binary code. Dynamic analysis, however, does not suffer in the same way from reduced accuracy in the absence of high-level semantics, and is therefore also more readily applicable to binary code. Since fine-grained dynamic analysis often requires recording detailed information about every instruction execution, scalability can become a significant challenge. In this thesis, we address the scalability challenges of two powerful dynamic analysis methods whose widespread use has, so far, been impeded by their lack of scalability: dynamic slicing and instruction trace alignment. Dynamic slicing provides fine-grained information about dependencies between individual instructions, and can be used both as a powerful debugging aid and as a foundation for other dynamic analysis techniques. Instruction trace alignment provides a means for comparing executions of two similar programs and has important applications in, e.g., malware analysis, security auditing, and plagiarism detection. We also apply our work on scalable dynamic analysis in two novel approaches to improve fuzzing — a popular random testing technique that is widely used in industry to discover security vulnerabilities. To use dynamic slicing, detailed information about a program execution must first be recorded. Since the amount of information is often too large to fit in main memory, existing dynamic slicing methods apply various time-versus-space trade-offs to reduce memory requirements. However, these trade-offs result in very high time overheads, limiting the usefulness of dynamic slicing in practice. In this thesis, we show that the speed of dynamic slicing can be greatly improved by carefully designing data structures and algorithms to exploit temporal locality of programs. This allows avoidance of the expensive trade-offs used in earlier methods by accessing recorded runtime information directly from secondary storage without significant random-access overhead. In addition to being a standalone contribution, scalable dynamic slicing also forms integral parts of our contributions to fuzzing. Our first contribution uses dynamic slicing and binary code mutation to automatically turn an existing executable into a test generator. In our experiments, this new approach to fuzzing achieved about an order of magnitude better code coverage than traditional mutational fuzzing and found several bugs in popular Linux software. The second work on fuzzing presented in this thesis uses dynamic slicing to accelerate the state-of-the-art fuzzer AFL by focusing the fuzzing effort on previously unexplored parts of the input space. For the second dynamic analysis technique whose scalability we sought to improve — instruction trace alignment — we employed techniques used in speech recognition and information retrieval to design what is, to the best of our knowledge, the first general approach to aligning realistically long program traces. We show in our experiments that this method is capable of producing meaningful alignments even in the presence of significant syntactic differences stemming from, for example, the use of different compilers or optimization levels.

A Practical Approach to the Study of Form in Music

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Publisher : Waveland Press
ISBN 13 : 1478610352
Total Pages : 224 pages
Book Rating : 4.59/5 ( download)

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Book Synopsis A Practical Approach to the Study of Form in Music by : Peter Spencer

Download or read book A Practical Approach to the Study of Form in Music written by Peter Spencer and published by Waveland Press. This book was released on 1994-07-01 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning musics organizing principles . . . Approaching the study of form as an exercise in perceiving the interaction of a number of discrete musical events, Spencer and Temkos book embodies much more than a search for visual clues. Students of form develop perceptual tools that allow them to proceed from the aural experience to an understanding of the arch-principles upon which music is organized. The authors hold that the organizing principles of a given piece of music may be gleaned from studying the internal attributes that give a section its specific identity, the functional relations between sections, and the ordering of those sections.

Practical Common Lisp

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Publisher : Apress
ISBN 13 : 1430200170
Total Pages : 506 pages
Book Rating : 4.78/5 ( download)

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Book Synopsis Practical Common Lisp by : Peter Seibel

Download or read book Practical Common Lisp written by Peter Seibel and published by Apress. This book was released on 2006-11-01 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Treats LISP as a language for commercial applications, not a language for academic AI concerns. This could be considered to be a secondary text for the Lisp course that most schools teach . This would appeal to students who sat through a LISP course in college without quite getting it – so a "nostalgia" approach, as in "wow-lisp can be practical..." * Discusses the Lisp programming model and environment. Contains an introduction to the language and gives a thorough overview of all of Common Lisp’s main features. * Designed for experienced programmers no matter what languages they may be coming from and written for a modern audience—programmers who are familiar with languages like Java, Python, and Perl. * Includes several examples of working code that actually does something useful like Web programming and database access.

Harvard Dictionary of Music

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Publisher : Harvard University Press
ISBN 13 : 9780674375017
Total Pages : 968 pages
Book Rating : 4.17/5 ( download)

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Book Synopsis Harvard Dictionary of Music by : Willi Apel

Download or read book Harvard Dictionary of Music written by Willi Apel and published by Harvard University Press. This book was released on 1969 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains nearly 1000 pages of precise and accessible information on all musical subjects.

The Complete Musician

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Publisher : Oxford University Press, USA
ISBN 13 : 9780190841614
Total Pages : 528 pages
Book Rating : 4.13/5 ( download)

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Book Synopsis The Complete Musician by : Steven G. Laitz

Download or read book The Complete Musician written by Steven G. Laitz and published by Oxford University Press, USA. This book was released on 2019 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A brief and musically oriented introduction to key music theory concepts"--

The Soul of A New Machine

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Publisher : Back Bay Books
ISBN 13 : 0316204552
Total Pages : 222 pages
Book Rating : 4.52/5 ( download)

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Book Synopsis The Soul of A New Machine by : Tracy Kidder

Download or read book The Soul of A New Machine written by Tracy Kidder and published by Back Bay Books. This book was released on 2011-08-23 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tracy Kidder's "riveting" (Washington Post) story of one company's efforts to bring a new microcomputer to market won both the Pulitzer Prize and the National Book Award and has become essential reading for understanding the history of the American tech industry. Computers have changed since 1981, when The Soul of a New Machine first examined the culture of the computer revolution. What has not changed is the feverish pace of the high-tech industry, the go-for-broke approach to business that has caused so many computer companies to win big (or go belly up), and the cult of pursuing mind-bending technological innovations. The Soul of a New Machine is an essential chapter in the history of the machine that revolutionized the world in the twentieth century. "Fascinating...A surprisingly gripping account of people at work." --Wall Street Journal