Finite Precision Number Systems and Arithmetic

Finite Precision Number Systems and Arithmetic PDF Author: Peter Kornerup
Publisher: Cambridge University Press
ISBN: 113964355X
Category : Mathematics
Languages : en
Pages : 717

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Book Description
Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors.

Finite Precision Number Systems and Arithmetic

Finite Precision Number Systems and Arithmetic PDF Author: Peter Kornerup
Publisher: Cambridge University Press
ISBN: 113964355X
Category : Mathematics
Languages : en
Pages : 717

Get Book

Book Description
Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors.

Encyclopedia of Numbers

Encyclopedia of Numbers PDF Author: A. E. Abbott
Publisher: Literary Licensing, LLC
ISBN: 9781498106818
Category :
Languages : en
Pages : 522

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Book Description
This Is A New Release Of The Original 1910 Edition.

Relational Mathematics

Relational Mathematics PDF Author: Gunther Schmidt
Publisher: Cambridge University Press
ISBN: 0521762685
Category : Computers
Languages : en
Pages : 582

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Book Description
Relational mathematics is to operations research and informatics what numerical mathematics is to engineering: it is intended to help modelling, reasoning, and computing. Its applications are therefore diverse, ranging from psychology, linguistics, decision aid, and ranking to machine learning and spatial reasoning. Although many developments have been made in recent years, they have rarely been shared amongst this broad community of researchers. This comprehensive 2010 overview begins with an easy introduction to the topic, assuming a minimum of prerequisites; but it is nevertheless theoretically sound and up to date. It is suitable for applied scientists, explaining all the necessary mathematics from scratch using a multitude of visualised examples, via matrices and graphs. It ends with tangible results on the research level. The author illustrates the theory and demonstrates practical tasks in operations research, social sciences and the humanities.

Number Words and Number Symbols

Number Words and Number Symbols PDF Author: Karl Menninger
Publisher: Courier Corporation
ISBN: 0486319776
Category : Mathematics
Languages : en
Pages : 512

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Book Description
Classic study discusses number sequence and number language, then explores written numerals and computations in a wide range of cultures. 282 illustrations. "Superior narrative ability." — Library Journal.

Mathematical Constants

Mathematical Constants PDF Author: Steven R. Finch
Publisher: Cambridge University Press
ISBN: 9780521818056
Category : Mathematics
Languages : en
Pages : 634

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Book Description
Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

The Divine Code-A Prophetic Encyclopedia of Numbers, Volume I

The Divine Code-A Prophetic Encyclopedia of Numbers, Volume I PDF Author: Steve Cioccolanti
Publisher: Discover Media
ISBN: 9781922273079
Category :
Languages : en
Pages : 350

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Book Description
The 10th Anniversary Edition of 'The Divine Code', now in a beautiful 2-volume set, is ground-breaking in its scope. From history to prophecy, from apologetics to politics, numbers are everywhere but not clearly understood. Steve Cioccolanti has expanded this study of the meaning of numbers to include Donald Trump, Jared Kushner, Benjamin Netanyahu, Kim Clement, Osama bin Laden, the Third Temple, the 7 Noahide Laws, World War III, and much more. That is why it is 'A Prophetic Encyclopedia of Numbers.''The Divine Code' is a carefully researched exploration into the meaning of numbers, codes, cycles and patterns found in Scripture, nature, history, and prophecy. It demystifies familiar numbers like 7, 13, 666 and illuminates lesser known ones like 17, 58 and 708. Years of research and revelation have crafted this spiritual magnum opus that you will find an easy read and a joy to keep. Thought-provoking and highly practical, 'The Divine Code' is brimming with lively topics such as God, angels, demons, healing, dreams, different personalities, and end time prophecy. As you read it, you will fall in love with the Creator of Numbers. Let the Spirit of the Lord show you how to apply numbers to find meaning in life, fulfill your purpose, and prepare for eternity. Pick a chapter and you will find a surprising nugget of truth. As one reviewer raved, "This is the Bible of Numbers." Volume I contains the number range 1 to 25. Volume II contains the number range 26 to 1000. "The Divine Code...is an excellent reference book that is extremely informative, inspirational and practical in every way...This excellent book has reconciled the extremes in doctrines and practices we see all around us, and brings forth the proper balanced Biblical perspective." --PASTOR DENNIS BALCOMBE, Founder of Revival Chinese Ministries International, Missionary to Hong Kong since 1969"Bible Numerics is a subject that will never be exhausted. The Divine Code by Steve Cioccolanti certainly adds to this amazing and fascinating subject." --KEVIN CONNER, Internationally-Recognized Theologian and Author"There is NO OTHER BOOK like 'The Divine Code'...Pastor Cioccolanti is the first pastor I know to highlight God's glory in the Bible through numbers in an entertaining way. I don't think Christians appreciate the importance of numbers. They are afraid that they may be dabbling in Kabbalah or the occult, so this book is ground-breaking in educating people that God created numbers to glorify Him."--LORILYN ROBERTS, Award-Winning Christian Author

Mathematical Theory of Entropy

Mathematical Theory of Entropy PDF Author: Nathaniel F. G. Martin
Publisher: Cambridge University Press
ISBN: 9780521177382
Category : Computers
Languages : en
Pages : 292

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Book Description
This excellent 1981 treatment of the mathematical theory of entropy gives an accessible exposition its application to other fields.

Algorithmic Algebraic Number Theory

Algorithmic Algebraic Number Theory PDF Author: M. Pohst
Publisher: Cambridge University Press
ISBN: 9780521596695
Category : Mathematics
Languages : en
Pages : 520

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Book Description
Now in paperback, this classic book is addresssed to all lovers of number theory. On the one hand, it gives a comprehensive introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject. On the other hand many parts go beyond an introduction an make the user familliar with recent research in the field. For experimental number theoreticians new methods are developed and new results are obtained which are of great importance for them. Both computer scientists interested in higher arithmetic and those teaching algebraic number theory will find the book of value.

The Divine Code-A Prophetic Encyclopedia of Numbers, Volume II

The Divine Code-A Prophetic Encyclopedia of Numbers, Volume II PDF Author: Steve Cioccolanti
Publisher:
ISBN: 9781922273123
Category :
Languages : en
Pages : 288

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Book Description
The 10th Anniversary Edition of 'The Divine Code', now in a beautiful 2-volume set, is ground-breaking in its scope. From history to prophecy, from apologetics to politics, numbers are everywhere but not clearly understood. Steve Cioccolanti has expanded this study of the meaning of numbers to include Donald Trump, Jared Kushner, Benjamin Netanyahu, Kim Clement, Osama bin Laden, the Third Temple, the 7 Noahide Laws, World War III, and much more. That is why it is 'A Prophetic Encyclopedia of Numbers.' 'The Divine Code' is a carefully researched exploration into the meaning of numbers, codes, cycles and patterns found in Scripture, nature, history, and prophecy. It demystifies familiar numbers like 7, 13, 666 and illuminates lesser known ones like 17, 58 and 708. Years of research and revelation have crafted this spiritual magnum opus that you will find an easy read and a joy to keep. Thought-provoking and highly practical, 'The Divine Code' is brimming with lively topics such as God, angels, demons, healing, dreams, different personalities, and end time prophecy. As you read it, you will fall in love with the Creator of Numbers. Let the Spirit of the Lord show you how to apply numbers to find meaning in life, fulfill your purpose, and prepare for eternity. Pick a chapter and you will find a surprising nugget of truth. As one reviewer raved, "This is the Bible of Numbers." Volume I contains the number range 1 to 25. Volume II contains the number range 26 to 1000.

Combinatorial Matrix Theory

Combinatorial Matrix Theory PDF Author: Richard A. Brualdi
Publisher: Birkhäuser
ISBN: 3319709534
Category : Mathematics
Languages : en
Pages : 219

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Book Description
This book contains the notes of the lectures delivered at an Advanced Course on Combinatorial Matrix Theory held at Centre de Recerca Matemàtica (CRM) in Barcelona. These notes correspond to five series of lectures. The first series is dedicated to the study of several matrix classes defined combinatorially, and was delivered by Richard A. Brualdi. The second one, given by Pauline van den Driessche, is concerned with the study of spectral properties of matrices with a given sign pattern. Dragan Stevanović delivered the third one, devoted to describing the spectral radius of a graph as a tool to provide bounds of parameters related with properties of a graph. The fourth lecture was delivered by Stephen Kirkland and is dedicated to the applications of the Group Inverse of the Laplacian matrix. The last one, given by Ángeles Carmona, focuses on boundary value problems on finite networks with special in-depth on the M-matrix inverse problem.