Sum

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Sum

Author : David Eagleman
Publisher : Vintage
Page : 128 pages
File Size : 41,8 Mb
Release : 2009-02-10
Category : Fiction
ISBN : 9780307378026

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Sum by David Eagleman Pdf

At once funny, wistful and unsettling, Sum is a dazzling exploration of unexpected afterlives—each presented as a vignette that offers a stunning lens through which to see ourselves in the here and now. In one afterlife, you may find that God is the size of a microbe and unaware of your existence. In another version, you work as a background character in other people’s dreams. Or you may find that God is a married couple, or that the universe is running backward, or that you are forced to live out your afterlife with annoying versions of who you could have been. With a probing imagination and deep understanding of the human condition, acclaimed neuroscientist David Eagleman offers wonderfully imagined tales that shine a brilliant light on the here and now.

Sum-of-Gaussians Representation of Sunshape

Author : Charles N. Vittitoe,Frank Biggs
Publisher : Unknown
Page : 48 pages
File Size : 45,5 Mb
Release : 1980
Category : Gaussian distribution
ISBN : UOM:39015086530840

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Sum-of-Gaussians Representation of Sunshape by Charles N. Vittitoe,Frank Biggs Pdf

An Act for raising and levying the sum of two thousand pounds for one year, upon the personal estates of the several Inhabitants within this City, ... payable to the Orphans and other creditors thereof. [Jun 17, 1724.] B.L.

Author : City of London (England). Court of Common Council
Publisher : Unknown
Page : 30 pages
File Size : 53,9 Mb
Release : 1724
Category : Electronic
ISBN : BL:A0022554842

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An Act for raising and levying the sum of two thousand pounds for one year, upon the personal estates of the several Inhabitants within this City, ... payable to the Orphans and other creditors thereof. [Jun 17, 1724.] B.L. by City of London (England). Court of Common Council Pdf

Representations of Integers as Sums of Squares

Author : E. Grosswald
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461385660

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Representations of Integers as Sums of Squares by E. Grosswald Pdf

During the academic year 1980-1981 I was teaching at the Technion-the Israeli Institute of Technology-in Haifa. The audience was small, but con sisted of particularly gifted and eager listeners; unfortunately, their back ground varied widely. What could one offer such an audience, so as to do justice to all of them? I decided to discuss representations of natural integers as sums of squares, starting on the most elementary level, but with the inten tion of pushing ahead as far as possible in some of the different directions that offered themselves (quadratic forms, theory of genera, generalizations and modern developments, etc.), according to the interests of the audience. A few weeks after the start of the academic year I received a letter from Professor Gian-Carlo Rota, with the suggestion that I submit a manuscript for the Encyclopedia of Mathematical Sciences under his editorship. I answered that I did not have a ready manuscript to offer, but that I could use my notes on representations of integers by sums of squares as the basis for one. Indeed, about that time I had already started thinking about the possibility of such a book and had, in fact, quite precise ideas about the kind of book I wanted it to be.

Lattice Sums Then and Now

Author : J. M. Borwein,M. L. Glasser,R. C. McPhedran,J. G. Wan,I. J. Zucker
Publisher : Cambridge University Press
Page : 391 pages
File Size : 55,7 Mb
Release : 2013-09-05
Category : Mathematics
ISBN : 9781107039902

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Lattice Sums Then and Now by J. M. Borwein,M. L. Glasser,R. C. McPhedran,J. G. Wan,I. J. Zucker Pdf

This comprehensive overview of lattice sums is long overdue for a topic that is important in diverse areas of science.

From Polynomials to Sums of Squares

Author : T.H Jackson
Publisher : CRC Press
Page : 200 pages
File Size : 44,5 Mb
Release : 1995-01-01
Category : Mathematics
ISBN : 0750303298

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From Polynomials to Sums of Squares by T.H Jackson Pdf

From Polynomials to Sums of Squares describes a journey through the foothills of algebra and number theory based around the central theme of factorization. The book begins by providing basic knowledge of rational polynomials, then gradually introduces other integral domains, and eventually arrives at sums of squares of integers. The text is complemented with illustrations that feature specific examples. Other than familiarity with complex numbers and some elementary number theory, very little mathematical prerequisites are needed. The accompanying disk enables readers to explore the subject further by removing the tedium of doing calculations by hand. Throughout the text there are practical activities involving the computer.

Dedekind Sums

Author : Hans Rademacher,Emil Grosswald
Publisher : American Mathematical Soc.
Page : 102 pages
File Size : 47,9 Mb
Release : 1972-12-31
Category : MATHEMATICS
ISBN : 9781614440161

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Dedekind Sums by Hans Rademacher,Emil Grosswald Pdf

These notes from Hans Rademacher's 1963 Hedrick Lectures have been gently polished and augmented by Emil Grosswald. While the topic itself is specialized, these sums are linked in diverse ways to many results in number theory, elliptical modular functions, and topology. The first main result is a surprising reciprocity law that is equivalent to the law of quadratic reciprocity.

Limit Theorems for Multi-Indexed Sums of Random Variables

Author : Oleg Klesov
Publisher : Springer
Page : 483 pages
File Size : 44,9 Mb
Release : 2014-10-13
Category : Mathematics
ISBN : 9783662443880

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Limit Theorems for Multi-Indexed Sums of Random Variables by Oleg Klesov Pdf

Presenting the first unified treatment of limit theorems for multiple sums of independent random variables, this volume fills an important gap in the field. Several new results are introduced, even in the classical setting, as well as some new approaches that are simpler than those already established in the literature. In particular, new proofs of the strong law of large numbers and the Hajek-Renyi inequality are detailed. Applications of the described theory include Gibbs fields, spin glasses, polymer models, image analysis and random shapes. Limit theorems form the backbone of probability theory and statistical theory alike. The theory of multiple sums of random variables is a direct generalization of the classical study of limit theorems, whose importance and wide application in science is unquestionable. However, to date, the subject of multiple sums has only been treated in journals. The results described in this book will be of interest to advanced undergraduates, graduate students and researchers who work on limit theorems in probability theory, the statistical analysis of random fields, as well as in the field of random sets or stochastic geometry. The central topic is also important for statistical theory, developing statistical inferences for random fields, and also has applications to the sciences, including physics and chemistry.

More (Almost) Impossible Integrals, Sums, and Series

Author : Cornel Ioan Vălean
Publisher : Springer Nature
Page : 847 pages
File Size : 45,9 Mb
Release : 2023-05-24
Category : Mathematics
ISBN : 9783031212628

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More (Almost) Impossible Integrals, Sums, and Series by Cornel Ioan Vălean Pdf

This book, the much-anticipated sequel to (Almost) Impossible, Integrals, Sums, and Series, presents a whole new collection of challenging problems and solutions that are not commonly found in classical textbooks. As in the author’s previous book, these fascinating mathematical problems are shown in new and engaging ways, and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Classical problems are shown in a fresh light, with new, surprising or unconventional ways of obtaining the desired results devised by the author. This book is accessible to readers with a good knowledge of calculus, from undergraduate students to researchers. It will appeal to all mathematical puzzlers who love a good integral or series and aren’t afraid of a challenge.

Israel in Egypt

Author : George Frideric Handel
Publisher : Unknown
Page : 178 pages
File Size : 50,5 Mb
Release : 1871
Category : Electronic
ISBN : BL:A0022752123

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Israel in Egypt by George Frideric Handel Pdf

Brain-Powered Lessons--Creating Equal Sums

Author : LaVonna Roth
Publisher : Teacher Created Materials
Page : 4 pages
File Size : 55,9 Mb
Release : 2014-07-01
Category : Electronic
ISBN : 9781480788190

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Brain-Powered Lessons--Creating Equal Sums by LaVonna Roth Pdf

Based on current brain research, this ready-to-use lesson engages second graders using the Reverse, Reverse strategy. Encourage students with strategies designed to foster student achievement related to creating equal sums.

Maple and Mathematica

Author : Inna K. Shingareva,Carlos Lizárraga-Celaya
Publisher : Springer Science & Business Media
Page : 484 pages
File Size : 53,9 Mb
Release : 2009-08-14
Category : Computers
ISBN : 9783211994320

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Maple and Mathematica by Inna K. Shingareva,Carlos Lizárraga-Celaya Pdf

In the history of mathematics there are many situations in which cal- lations were performed incorrectly for important practical applications. Let us look at some examples, the history of computing the number ? began in Egypt and Babylon about 2000 years BC, since then many mathematicians have calculated ? (e. g. , Archimedes, Ptolemy, Vi` ete, etc. ). The ?rst formula for computing decimal digits of ? was disc- ered by J. Machin (in 1706), who was the ?rst to correctly compute 100 digits of ?. Then many people used his method, e. g. , W. Shanks calculated ? with 707 digits (within 15 years), although due to mistakes only the ?rst 527 were correct. For the next examples, we can mention the history of computing the ?ne-structure constant ? (that was ?rst discovered by A. Sommerfeld), and the mathematical tables, exact - lutions, and formulas, published in many mathematical textbooks, were not veri?ed rigorously [25]. These errors could have a large e?ect on results obtained by engineers. But sometimes, the solution of such problems required such techn- ogy that was not available at that time. In modern mathematics there exist computers that can perform various mathematical operations for which humans are incapable. Therefore the computers can be used to verify the results obtained by humans, to discovery new results, to - provetheresultsthatahumancanobtainwithoutanytechnology. With respectto our example of computing?, we can mention that recently (in 2002) Y. Kanada, Y. Ushiro, H. Kuroda, and M.