Download or read book Geometry of Lengths Areas and Volumes written by James W. Cannon and published by American Mathematical Soc.. This book was released on 2017-11-16 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books are accessible to college and graduate students and provide perspective and insight to mathematicians at all levels who are interested in geometry and topology. The first volume begins with length measurement as dominated by the Pythagorean Theorem (three proofs) with application to number theory; areas measured by slicing and scaling, where Archimedes uses the physical weights and balances to calculate spherical volume and is led to the invention of calculus; areas by cut and paste, leading to the Bolyai-Gerwien theorem on squaring polygons; areas by counting, leading to the theory of continued fractions, the efficient rational approximation of real numbers, and Minkowski's theorem on convex bodies; straight-edge and compass constructions, giving complete proofs, including the transcendence of and , of the impossibility of squaring the circle, duplicating the cube, and trisecting the angle; and finally to a construction of the Hausdorff-Banach-Tarski paradox that shows some spherical sets are too complicated and cloudy to admit a well-defined notion of area.
Download or read book Body Lengths written by Leisel Jones and published by Black Inc.. This book was released on 2017-04-03 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the moment I am born, I am like no-one else around me. I am a fish out of water. Even in the pool. Leisel Jones is rightly regarded as one of the greatest breaststrokers ever. At just fifteen, she won two silver medals at the Sydney Olympic Games in 2000; she went on to win gold at Athens and Beijing, and at London 2012 became the first Australian swimmer to compete at four Olympics. For the first time, Leisel candidly describes what it’s like to be thrust into the limelight so young. She reveals the constant pressure she was under – from coaches, from the media and from herself – to be perfect. Despite the highs of her swimming stardom, she suffered depression, and at one time planned to take her own life. In London, criticised in the media for her weight, and appalled by the bullying and dysfunction in the Australian swim team, Leisel nevertheless handled herself with great composure. She has emerged with maturity and good humour, having finally learnt how to be herself and live with confidence. Body Lengths is the inspiring story of an Australian sporting hero, told with humour, optimism and style. Longlisted, 2016 Australian Book Industry Awards ‘There were times when it wasn’t easy for Leisel, but she came through as one of the greatest swimmers of all time.’ —Ray Warren ‘Swimming, success and sadness - all wrapped up in the bio of one of our greatest athletes.’ —Cosmopolitan ‘Gripping, confronting and important, Body Lengths is a masterfully told story that will leave you with a disturbing new look at elite sport and at life. If you are not afraid of dark places – of seeing the flaws that exist in us all – you won’t be able to put the book down.’ —Crossing the Line ‘Gold, silver and blues’ —Herald Sun ‘Many autobiographies claim to be no holds barred, but we’re pressed to think of many that are as searingly honest as Leisel Jones’ account of her struggles with isolation and suicidal anguish. One of Australia’s greatest Olympic swimmers is known to the world for her sunny public persona and athletic grit, but outside of the pool and limelight, her path hasn’t been easy. Body Lengths exposes some of the darker aspects of competitive sport, but what stuck with us was Jones’ courage to speak her truth – as well as her disarming humility and passion.’ —iBooks, Best Books of October ‘A compelling and thought-provoking story, Leisel’s honesty is remarkably heroic and poignant.’ —Layne Beachley AO ‘Lethal Leisel was an incredible role model and an inspiration for my generation. She epitomises the Olympic dream!’ —Sally Fitzgibbons ‘Leisel gives a fascinating and candid account of her time as an elite swimmer and what it was like to be thrust into the limelight at such a young age She writes engagingly of the personal high and low points, the relationships and friendships, and the huge demands of maintaining her fitness and training over the years.’ —The City Leisel Jones retired from swimming in 2012 as the winner of three Olympic gold medals, and many Commonwealth and world championship medals. She was a commentator at the 2014 Commonwealth Games, and in 2015 was inducted into the Sports Hall of Fame. Felicity McLean is the author of several books. She has written for the Daily Telegraph, the Courier Mail, the Big Issue and more.
Download or read book The Lengths written by Howard Hardiman and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphic novel in which different breeds of dogs represent different personalities of gay men in the underground world of gay escorts in London.
Download or read book Geometrical Solutions of the Lengths and Division of Circular Arcs written by Peter Fleming and published by . This book was released on 1851 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Train Lengths written by United States. Congress. House. Committee on Interstate and Foreign Commerce and published by . This book was released on 1938 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Motor vehicle tractor lengths written by United States. Congress. Senate. Committee on Commerce, Science, and Transportation and published by . This book was released on 1978 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cluster Algebras and Triangulated Surfaces Part II Lambda Lengths written by Sergey Fomin and published by American Mathematical Soc.. This book was released on 2018-10-03 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: For any cluster algebra whose underlying combinatorial data can be encoded by a bordered surface with marked points, the authors construct a geometric realization in terms of suitable decorated Teichmüller space of the surface. On the geometric side, this requires opening the surface at each interior marked point into an additional geodesic boundary component. On the algebraic side, it relies on the notion of a non-normalized cluster algebra and the machinery of tropical lambda lengths. The authors' model allows for an arbitrary choice of coefficients which translates into a choice of a family of integral laminations on the surface. It provides an intrinsic interpretation of cluster variables as renormalized lambda lengths of arcs on the surface. Exchange relations are written in terms of the shear coordinates of the laminations and are interpreted as generalized Ptolemy relations for lambda lengths. This approach gives alternative proofs for the main structural results from the authors' previous paper, removing unnecessary assumptions on the surface.
Download or read book Hosiery Lengths and Sizes written by United States. Department of Commerce. Office of Technical Services and published by . This book was released on 1949 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Measurement and Data Leveled Problem Measuring Length Rod Lengths written by Linda Dacey, Ed.D. and published by Teacher Created Materials. This book was released on 2014-01-01 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differentiate problem solving in your classroom using effective, research-based strategies. The problem-solving mini-lesson guides teachers in how to teach differentiated lessons. The student activity sheet features a problem tiered at three levels.
Download or read book Lengths Widths Surfaces written by Jens Høyrup and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this examination of the Babylonian cuneiform "algebra" texts, based on a detailed investigation of the terminology and discursive organization of the texts, Jens Høyrup proposes that the traditional interpretation must be rejected. The texts turn out to speak not of pure numbers, but of the dimensions and areas of rectangles and other measurable geometrical magnitudes, often serving as representatives of other magnitudes (prices, workdays, etc...), much as pure numbers represent concrete magnitudes in modern applied algebra. Moreover, the geometrical procedures are seen to be reasoned to the same extent as the solutions of modern equation algebra, though not built on any explicit deductive structure.
Download or read book A Treatise on the Various Lengths of the Days Nights and Twilights with Tables of the Latitude and Longtitude of the Most Eminent Towns and Islands and Their Bearings and Distance from London with a Short Discourse on Heat Cold and Twilight Etc written by Richard MIHILL and published by . This book was released on 1755 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Standard Hosiery Lengths written by E. M. Schenke and published by . This book was released on 1926 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Contributions from the Department of Anatomy written by University of Minnesota. Department of Anatomy and published by . This book was released on 1928 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Truck Lengths and Safety written by United States. Congress. Senate. Committee on Commerce, Science, and Transportation. Subcommittee on Surface Transportation and published by . This book was released on 1994 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributed to some depository libraries in microfiche.
Download or read book Hosiery Lengths and Sizes Excluding Women s written by United States. National Bureau of Standards. Office of Commodity Standards and published by . This book was released on 1966 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Iterative Learning Control for Systems with Iteration Varying Trial Lengths written by Dong Shen and published by Springer. This book was released on 2019-01-29 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive and detailed study on iterative learning control (ILC) for systems with iteration-varying trial lengths. Instead of traditional ILC, which requires systems to repeat on a fixed time interval, this book focuses on a more practical case where the trial length might randomly vary from iteration to iteration. The iteration-varying trial lengths may be different from the desired trial length, which can cause redundancy or dropouts of control information in ILC, making ILC design a challenging problem. The book focuses on the synthesis and analysis of ILC for both linear and nonlinear systems with iteration-varying trial lengths, and proposes various novel techniques to deal with the precise tracking problem under non-repeatable trial lengths, such as moving window, switching system, and searching-based moving average operator. It not only discusses recent advances in ILC for systems with iteration-varying trial lengths, but also includes numerous intuitive figures to allow readers to develop an in-depth understanding of the intrinsic relationship between the incomplete information environment and the essential tracking performance. This book is intended for academic scholars and engineers who are interested in learning about control, data-driven control, networked control systems, and related fields. It is also a useful resource for graduate students in the above field.
Download or read book American Lumberman written by and published by . This book was released on 1918 with total page 1370 pages. Available in PDF, EPUB and Kindle. Book excerpt:
