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Arithmetic of Finite Fields: 7th International Workshop, WAIFI 2018, Bergen, Norway, June 14-16, 2018, Revised Selected Papers (Lecture Notes in Computer Science #11321)
by Lilya Budaghyan Francisco Rodríguez-HenríquezThis book constitutes the thoroughly refereed post-workshop proceedings of the 7th International Workshop on the Arithmetic of Finite Field, WAIFI 2018, held in Bergen, Norway, in June 2018. The 14 revised full papers and six invited talks presented were carefully reviewed and selected from 26 submissions. The papers are organized in topical sections on invited talks; elliptic curves; hardware implementations; arithmetic and applications of finite fields and cryptography.
Arithmetic of Finite Fields: 5th International Workshop, WAIFI 2014, Gebze, Turkey, September 27-28, 2014. Revised Selected Papers (Lecture Notes in Computer Science #9061)
by Çetin Kaya Koç Sihem Mesnager Erkay SavaşThis book constitutes the refereed proceedings of the 5th International Workshop on the Arithmetic of Finite Field, WAIFI 2014, held in Gebze, Turkey, in September 2014. The 9 revised full papers and 43 invited talks presented were carefully reviewed and selected from 27 submissions. This workshop is a forum of mathematicians, computer scientists, engineers and physicists performing research on finite field arithmetic, interested in communicating the advances in the theory, applications, and implementations of finite fields. The workshop will help to bridge the gap between the mathematical theory of finite fields and their hardware/software implementations and technical applications.
Arithmetic of Finite Fields: 9th International Workshop, WAIFI 2022, Chengdu, China, August 29 – September 2, 2022, Revised Selected Papers (Lecture Notes in Computer Science #13638)
by Sihem Mesnager Zhengchun ZhouThis book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on the Arithmetic of Finite Field, WAIFI 2022, held in Chengdu, China, in August – September 2022.The 19 revised full papers and 3 invited talks presented were carefully reviewed and selected from 25 submissions. The papers are organized in topical sections: structures in finite fields; efficient finite field arithmetic; coding theory; cryptography; sequences.
Arithmetic of Finite Fields: 10th International Workshop, WAIFI 2024, Ottawa, ON, Canada, June 10–12, 2024, Revised Selected Papers (Lecture Notes in Computer Science #15176)
by Svetla Petkova-Nikova Daniel PanarioThis book constitutes the refereed proceedings of the 10th International Workshop on Arithmetic of Finite Fields, WAIFI 2024, held in Ottawa, Ontario, Canada, during June 10–12, 2024. The 17 full papers included in this book were carefully reviewed and selected from 29 submissions. They were organized in topical sections as follows: Invited talks; Coding theory; Cryptography and Boolean functions; and Postquantum Cryptography.
Arithmetic of Finite Fields: 6th International Workshop, WAIFI 2016, Ghent, Belgium, July 13-15, 2016, Revised Selected Papers (Lecture Notes in Computer Science #10064)
by Sylvain Duquesne and Svetla Petkova-NikovaThis book constitutes the thoroughly refereed post-workshop proceedings of the 6th International Workshop on the Arithmetic of Finite Field, WAIFI 2016, held in Ghent, Belgium, in July 2016. The 14 revised full papers and 3 invited talks presented were carefully reviewed and selected from 38 submissions. The papers are organized in topical sections on invited talks; elliptic curves; applications; irreducible polynomials; applications to cryptography; Boolean functions; cryptography; cryptography and Boolean functions.
The Arithmetic of Life and Death
by George ShaffnerWhether you realize it or not, numbers are everywhere--and integral to almost every facet of your life . . . from your next raise in pay to the inevitable rise of inflation, your weekly family budget to your end of the national debt. And as George Shaffner amazingly reveals, there are discerning answers (and a great measure of comfort) in numbers. In The Arithmetic of Life, he applies the basic principles of mathematics--addition, subtraction, multiplication, and division--to some of the most profound and just plain puzzling questions of our time.Illuminated with anecdotes, humor, and insight, each chapter explains a unique part of life that can be understood only through the magic of numbers. Whether it's an unconventional theory on why more things go wrong than right, a simple calculation of how much it will cost you to smoke for a lifetime, why crime (accumulatively) doesn't pay, or a glimpse into the probability of life after death, this enlightening and lucidly reasoned book will forever change the way you think about numbers--and the world around you.From the Trade Paperback edition.
The Arithmetic of Listening: Tuning Theory and History for the Impractical Musician
by Kyle GannTuning is the secret lens through which the history of music falls into focus, says Kyle Gann. Yet in Western circles, no other musical issue is so ignored, so taken for granted, so shoved into the corners of musical discourse.A classroom essential and an invaluable reference, The Arithmetic of Listening offers beginners the grounding in music theory necessary to find their own way into microtonality and the places it may take them. Moving from ancient Greece to the present, Kyle Gann delves into the infinite tunings available to any musician who feels straitjacketed by obedience to standardized Western European tuning. He introduces the concept of the harmonic series and demonstrates its relationship to equal-tempered and well-tempered tuning. He also explores recent experimental tuning models that exploit smaller intervals between pitches to create new sounds and harmonies.Systematic and accessible, The Arithmetic of Music provides a much-needed primer for the wide range of tuning systems that have informed Western music.
Arithmetic of Quadratic Forms (Springer Monographs in Mathematics #109)
by Goro ShimuraThis book is divided into two parts. The first part is preliminary and consists of algebraic number theory and the theory of semisimple algebras. There are two principal topics: classification of quadratic forms and quadratic Diophantine equations. The second topic is a new framework which contains the investigation of Gauss on the sums of three squares as a special case. To make the book concise, the author proves some basic theorems in number theory only in some special cases. However, the book is self-contained when the base field is the rational number field, and the main theorems are stated with an arbitrary number field as the base field. So the reader familiar with class field theory will be able to learn the arithmetic theory of quadratic forms with no further references.
Arithmetic Optimization Techniques for Hardware and Software Design
by Ryan Kastner Anup Hosangadi Farzan FallahObtain better system performance, lower energy consumption, and avoid hand-coding arithmetic functions with this concise guide to automated optimization techniques for hardware and software design. High-level compiler optimizations and high-speed architectures for implementing FIR filters are covered, which can improve performance in communications, signal processing, computer graphics, and cryptography. Clearly explained algorithms and illustrative examples throughout make it easy to understand the techniques and write software for their implementation. Background information on the synthesis of arithmetic expressions and computer arithmetic is also included, making the book ideal for new-comers to the subject. This is an invaluable resource for researchers, professionals, and graduate students working in system level design and automation, compilers, and VLSI CAD.
Arithmetic Refresher (Dover Books on Mathematics)
by A. A. KlafThe farther we get from our grade school days, the easier it is to forget those operations and nuances of arithmetical computation that keep recurring in our daily lives: interest and discount problems, time-payment calculations, tax problems, and so on.This handy book is designed to streamline your methods and resharpen your calculation skills for a variety of situations. Starting with the most elementary operations, the book goes on to cover all basic topics and processes of arithmetic: addition, subtraction, multiplication, division, fractions, percentage, interest, ratio and proportion, denominate numbers, averages, etc. The text continues into other useful matters, such as powers and roots, logarithms, positive and negative numbers, harmonic progression, and introductory concepts of algebra.Entirely practical in approach and using an easy-to-follow question and answer style, this book covers a wide range of common knotty areas: filling and emptying receptacles, scales for models and maps, business and financial calculations (partial payment problems, compound interest, bank and sales discount, profit and loss problems, etc.), angle measurement, mixtures and solutions, graph and chart problems, and the like.The discussion contains numerous alternate and short-cut methods, such as quick ways to figure compound interest; to square a number from 1 to 100; to divide by 5, 25, 125, 99, etc.; to multiply two 2-digit numbers having the same figure in the tens place; and many more. These valuable tips, together with the huge fund of exercise problems (a total of 809, half of them answered in an appendix), help you to increase your computational proficiency and speed, and make this an extremely useful volume to have on your shelf at home or at work. Anyone who has to do any figuring at all -- housewife, merchant, student -- will profit from this refresher. Parents will find it an excellent source of material for helping children in school work.
Arithmetic Tales: Advanced Edition (Universitext)
by Olivier BordellèsThis textbook covers a wide array of topics in analytic and multiplicative number theory, suitable for graduate level courses.Extensively revised and extended, this Advanced Edition takes a deeper dive into the subject, with the elementary topics of the previous edition making way for a fuller treatment of more advanced topics. The core themes of the distribution of prime numbers, arithmetic functions, lattice points, exponential sums and number fields now contain many more details and additional topics. In addition to covering a range of classical and standard results, some recent work on a variety of topics is discussed in the book, including arithmetic functions of several variables, bounded gaps between prime numbers à la Yitang Zhang, Mordell's method for exponential sums over finite fields, the resonance method for the Riemann zeta function, the Hooley divisor function, and many others. Throughout the book, the emphasis is on explicit results.Assuming only familiarity with elementary number theory and analysis at an undergraduate level, this textbook provides an accessible gateway to a rich and active area of number theory. With an abundance of new topics and 50% more exercises, all with solutions, it is now an even better guide for independent study.
Arithmetic Tales (Universitext)
by Olivier Bordellès Véronique BordellèsNumber theory was once famously labeled the queen of mathematics by Gauss. The multiplicative structure of the integers in particular deals with many fascinating problems some of which are easy to understand but very difficult to solve. In the past, a variety of very different techniques has been applied to further its understanding. Classical methods in analytic theory such as Mertens' theorem and Chebyshev's inequalities and the celebrated Prime Number Theorem give estimates for the distribution of prime numbers. Later on, multiplicative structure of integers leads to multiplicative arithmetical functions for which there are many important examples in number theory. Their theory involves the Dirichlet convolution product which arises with the inclusion of several summation techniques and a survey of classical results such as Hall and Tenenbaum's theorem and the Möbius Inversion Formula. Another topic is the counting integer points close to smooth curves and its relation to the distribution of squarefree numbers, which is rarely covered in existing texts. Final chapters focus on exponential sums and algebraic number fields. A number of exercises at varying levels are also included. Topics in Multiplicative Number Theory introduces offers a comprehensive introduction into these topics with an emphasis on analytic number theory. Since it requires very little technical expertise it will appeal to a wide target group including upper level undergraduates, doctoral and masters level students.
Arithmetic Work-text 5
by Judy HoweArithmetic 5 contains a variety of exercises involving new/review material in each lesson. The workbook includes 169 lessons (excluding tests). Supplementary Exercises and Homework Exercises. The handbook at the end of the book contains facts, rules, and measures which are given throughout the workbook. Although all new material is presented at top of a workbook page, the workbook is not designed to be used without a teacher. Arithmetic 5 Curriculum/Lesson Plans, available separately or as part of the Grade 5 Curriculum, and the Teacher Edition provide complete daily plans for teaching, reviewing, and testing. The Teacher Edition also includes solutions to all exercises in the text. Student Quizzes, Tests, and Speed Drills are correlated with the work-text.
Arithmetical Properties of Commutative Rings and Monoids (Lecture Notes in Pure and Applied Mathematics)
by Scott T. ChapmanThe study of nonunique factorizations of elements into irreducible elements in commutative rings and monoids has emerged as an independent area of research only over the last 30 years and has enjoyed a recent flurry of activity and advancement. This book presents the proceedings of two recent meetings that gathered key researchers from around the w
Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1 (SpringerBriefs in Mathematics #0)
by Elena Guardo Adam Van TuylThis brief presents a solution to the interpolation problem for arithmetically Cohen-Macaulay (ACM) sets of points in the multiprojective space P^1 x P^1. It collects the various current threads in the literature on this topic with the aim of providing a self-contained, unified introduction while also advancing some new ideas. The relevant constructions related to multiprojective spaces are reviewed first, followed by the basic properties of points in P^1 x P^1, the bigraded Hilbert function, and ACM sets of points. The authors then show how, using a combinatorial description of ACM points in P^1 x P^1, the bigraded Hilbert function can be computed and, as a result, solve the interpolation problem. In subsequent chapters, they consider fat points and double points in P^1 x P^1 and demonstrate how to use their results to answer questions and problems of interest in commutative algebra. Throughout the book, chapters end with a brief historical overview, citations of related results, and, where relevant, open questions that may inspire future research. Graduate students and researchers working in algebraic geometry and commutative algebra will find this book to be a valuable contribution to the literature.
Arius: Heresy and Tradition
by Rowan WilliamsArius is widely considered to be Rowan Williams's magnum opus. Long out of print and never before available in paperback, it has been newly revised. This expanded and updated edition marks a major publishing event. Arianism has been called the "archetypal Christian heresy" because it denies the divinity of Christ. In his masterly examination of Arianism, Rowan Williams argues that Arius himself was actually a dedicated theological conservative whose concern was to defend the free and personal character of the Christian God. His "heresy" grew out of an attempt to unite traditional biblical language with radical philosophical ideas and techniques and was, from the start, involved with issues of authority in the church. Thus, the crisis of the early fourth century was not only about the doctrine of God but also about the relations between emperors, bishops, and "charismatic" teachers in the church's decision-making. In the course of his discussion, Williams raises the vital wider questions of how heresy is defined and how certain kinds of traditionalism transform themselves into heresy. Augmented with a new appendix in which Williams interacts with significant scholarship since 1987, this book provides fascinating reading for anyone interested in church history and the development of Christian doctrine.
Arius Didymus on Peripatetic Ethics, Household Management, and Politics: Text, Translation, and Discussion (Rutgers University Studies in Classical Humanities)
by William W FortenbaughThis volume features a unique epitome (original summation) of Aristotelian practical philosophy. It is often attributed to Arius Didymus who composed a survey of Peripatetic thought on three closely related areas: ethics, household management, and politics. The quality of the epitome, which draws not only on the surviving treatises of Aristotle, but also on works by later Peripatetics, is excellent. In recent years the epitome has attracted increased attention as an important document for the understanding of Hellenistic philosophy. This new edition of the Greek text is much needed; the most recent edition dates from 1884 and is seriously faulty. This translation, provided by Georgia Tsouni, is based on the oldest and best manuscripts and takes account of recent discussions of difficult passages. In addition, an English translation appears opposite the Greek text on facing pages. The text-translation is followed by nine essays, which are written for a wide audience—not only philosophers and classicists, but also scholars interested in politics and social order. The essays also consider issues of a more philological nature: Who in fact was the author of the epitome? Is Theophrastus an important source? In discussing political matters, is the author intending to defend the practice of philosophy in Augustan Rome? Was there a second epitome, perhaps with a different slant, that has been lost?
A River Through My Desert
by Penny EllisHow do we find our way out of our fears and terrors? Also, labels placed on us and self-destructive habits? How do we turn our face like a 'flint' towards our God when we can't even face ourselves? Our God is listening and he can bring us out of what we see as impossible to change. If we talk to him, he hears us. There is a river that runs directly under the throne of God and we can untangle our lives in it. These chapters are examples that we don't have to say too much or use just one prayer style as God hears our hearts cry and the holy spirit interprets our words so they are 'in tune' and that is the symphony God hears. I hope this book helps you regain a resurrected skip in your step in this life and become who you were meant to be all along. This book has taken 20 years to write, it is a life journey to get rid of useless destructive habits. My desert was uprooted, barren and dry. Take the first great strides out of the desert you are in. Whatever is left can grow again and change the landscape. Let the river flood your desert.
Arizona
by Malcolm L. ComeauxThis systematic study of the geography of Arizona emphasizes the relationship between the human population and the environment-the patterns of human activities and their effects on the landscape. Dr. Comeaux introduces Arizona's physical features, then traces its history from the time of the early Indians. A discussion of the state's contemporary population and the rapid growth of its cities is followed by a geographic approach to a number of key topics: Arizona's industries-manufacturing, mining, agriculture, lumber, ranching, and tourism-water and land use, and recreation.
Arizona: A MyReportLinks.com Book
by Stephen FeinsteinInteresting facts and information about the geography, climate, economy, government, and history of each state. Pre-evaluated Report Links back up each book.
Arizona
by Harwood P. Hinton Robert F. PalmquistThe state that we call home is in the part of the United States known as the Southwest. In our state you can hike in the Grand Canyon, see unusual plants and animals in the desert, ride on a raft down the winding Colorado River, and much more. Let's find out about Arizona and its people.
Arizona: The Grand Canyon State
by Mark LiskBeautiful coffee-table book featuring photography from across the state of Arizona.
Arizona: A Bicentennial History
by Lawrence Clark PowellWith the polished style that characterizes all his works, Dr. Lawrence Clark Powell portrays Arizona in a way that will enthrall readers in any state, concluding with recognition that, like the ancient Indians and Spaniards, "We too hold the land in brief tenancy." "O yes," said Senator Wade of Ohio, "I have heard of that country--it is just like hell." Such was the reaction to Arizona Territory of the nineteenth-century politicians who opposed making it a state and forced it to wait for statehood almost half a century. Now an opposite idea--Arizona as paradise--attracts tourists and the retired by the thousands. Cliches about a land of cowboys and Indians have yielded to visions of swimming pools, golf courses, and desert sunsets. Author Lawrence Clark Powell probes deeper to a nobler Arizona of dramatic history and human achievement.
Arizona! (Wagons West Series, Book #21)
by Dana Fuller RossTo a sun-scorched frontier the Winchester rifle promised redemption from a hell of outlaw tyranny. In the hands of brave cavalry officers such as Cindy Holt's new husband, Reed Kerr, this superior weapon could be the true peacemaker of the West. But treachery has no honor, and an ambush could cut down youth and hope, not just in Yuma, but abroad, where West Pointer Capt. Henry Blake undertook a dangerous secret mission... and in Kentucky where famous scout Toby Holt--son of legendary wagonmaster Whip Holt--took aim at a scoundrel's heart. These men are forced to face their most dangerous enemies and with their hearts, minds, and bullets, protect and defend family, country, and decency in the epic ARIZONA!
Arizona Ambush (The Executioner #31)
by Don PendletonWhen the mob opens up a drug pipeline, the Executioner comes to shut it off Far from the lights of the city, in the desert near the Mexican border, the mob has erected a sprawling compound where planes can land undetected. This will be the heart of the Arizona corridor—a drug-smuggling route that will dwarf even the infamous French connection. And Mack Bolan will kill to keep the operation off the ground. Wearing a black jumpsuit, his belt full of ammunition, the Executioner plans to make Arizona the new front in his war against organized crime. He has spent days cataloging the Mafia heavies who come and go from the compound in the desert, and now he is ready to strike. Two mob factions are working together in Arizona—and Mack Bolan will ensure that they destroy each other. Arizona Ambush is the 31st book in the Executioner series, but you may enjoy reading the series in any order.