Ellipses PDF Download
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Author | : Lester Kaufman |
Publisher | : John Wiley & Sons |
Total Pages | : 272 |
Release | : 2021-04-16 |
Genre | : Language Arts & Disciplines |
ISBN | : 1119652847 |
Download The Blue Book of Grammar and Punctuation Book in PDF, ePub and Kindle
The bestselling workbook and grammar guide, revised and updated! Hailed as one of the best books around for teaching grammar, The Blue Book of Grammar and Punctuation includes easy-to-understand rules, abundant examples, dozens of reproducible quizzes, and pre- and post-tests to help teach grammar to middle and high schoolers, college students, ESL students, homeschoolers, and more. This concise, entertaining workbook makes learning English grammar and usage simple and fun. This updated 12th edition reflects the latest updates to English usage and grammar, and includes answers to all reproducible quizzes to facilitate self-assessment and learning. Clear and concise, with easy-to-follow explanations, offering "just the facts" on English grammar, punctuation, and usage Fully updated to reflect the latest rules, along with even more quizzes and pre- and post-tests to help teach grammar Ideal for students from seventh grade through adulthood in the US and abroad For anyone who wants to understand the major rules and subtle guidelines of English grammar and usage, The Blue Book of Grammar and Punctuation offers comprehensive, straightforward instruction.
Author | : Ulrich Daepp |
Publisher | : American Mathematical Soc. |
Total Pages | : 268 |
Release | : 2018 |
Genre | : Conic sections |
ISBN | : 147044383X |
Download Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other Book in PDF, ePub and Kindle
Mathematicians delight in finding surprising connections between seemingly disparate areas of mathematics. Whole domains of modern mathematics have arisen from exploration of such connections--consider analytic number theory or algebraic topology. Finding Ellipses is a delight-filled romp across a three-way unexpected connection between complex analysis, linear algebra, and projective geometry. The book begins with Blaschke products, complex-analytic functions that are generalizations of disk automorphisms. In the analysis of Blaschke products, we encounter, in a quite natural way, an ellipse inside the unit disk. The story continues by introducing the reader to Poncelet's theorem--a beautiful result in projective geometry that ties together two conics and, in particular, two ellipses, one circumscribed by a polygon that is inscribed in the second. The Blaschke ellipse and the Poncelet ellipse turn out to be the same ellipse, and the connection is illuminated by considering the numerical range of a $2 \times 2$ matrix. The numerical range is a convex subset of the complex plane that contains information about the geometry of the transformation represented by a matrix. Through the numerical range of $n \times n$ matrices, we learn more about the interplay between Poncelet's theorem and Blaschke products. The story ranges widely over analysis, algebra, and geometry, and the exposition of the deep and surprising connections is lucid and compelling. Written for advanced undergraduates or beginning graduate students, this book would be the perfect vehicle for an invigorating and enlightening capstone exploration. The exercises and collection of extensive projects could be used as an embarkation point for a satisfying and rich research project. You are invited to read actively using the accompanying interactive website, which allows you to visualize the concepts in the book, experiment, and develop original conjectures.
Author | : Alan Horwitz |
Publisher | : CRC Press |
Total Pages | : 147 |
Release | : 2024-05-29 |
Genre | : Mathematics |
ISBN | : 1040027741 |
Download Ellipses Inscribed in, and Circumscribed about, Quadrilaterals Book in PDF, ePub and Kindle
The main focus of this book is disseminating research results regarding the pencil of ellipses inscribing arbitrary convex quadrilaterals. In particular, the author proves that there is a unique ellipse of maximal area, EA, and a unique ellipse of minimal eccentricity, EI, inscribed in Q. Similar results are also proven for ellipses passing through the vertices of a convex quadrilateral along with some comparisons with inscribed ellipses. Special results are also given for parallelograms. Researchers in geometry and applied mathematics will find this unique book of interest. Software developers, image processors along with geometers, mathematicians, and statisticians will be very interested in this treatment of the subject of inscribing and circumscribing ellipses with the comprehensive treatment here. Most of the results in this book were proven by the author in several papers listed in the references at the end. This book gathers results in a unified treatment of the topics while also shortening and simplifying many of the proofs. This book also contains a separate section on algorithms for finding ellipses of maximal area or of minimal eccentricity inscribed in, or circumscribed about, a given quadrilateral and for certain other topics treated in this book. Anyone who has taken calculus and linear algebra and who has a basic understanding of ellipses will find it accessible.
Author | : J. W. Downs |
Publisher | : Courier Corporation |
Total Pages | : 112 |
Release | : 2012-10-16 |
Genre | : Mathematics |
ISBN | : 0486148882 |
Download Practical Conic Sections Book in PDF, ePub and Kindle
Using examples from everyday life, this text studies ellipses, parabolas, and hyperbolas. Explores their ancient origins and describes the reflective properties and roles of curves in design applications. 1993 edition. Includes 98 figures.
Author | : Bruce Cameron Reed |
Publisher | : Morgan & Claypool Publishers |
Total Pages | : 72 |
Release | : 2019-05-10 |
Genre | : Science |
ISBN | : 1643274708 |
Download Keplerian Ellipses Book in PDF, ePub and Kindle
The development of man's understanding of planetary motions is the crown jewel of Newtonian mechanics. This book offers a concise but self-contained handbook-length treatment of this historically important topic for students at about the third-year-level of an undergraduate physics curriculum. After opening with a review of Kepler's three laws of planetary motion, it proceeds to analyze the general dynamics of 'central force' orbits in spherical coordinates, how elliptical orbits satisfy Newton's gravitational law, and how the geometry of ellipses relates to physical quantities, such as energy and momentum. Exercises are provided, and derivations are set up in such a way that readers can gain analytic practice by filling in the missing steps. A brief bibliography lists sources for readers who wish to pursue further study on their own.
Author | : Bruce Cameron Reed |
Publisher | : |
Total Pages | : 0 |
Release | : 2023 |
Genre | : SCIENCE |
ISBN | : 9780750356077 |
Download Keplerian Ellipses Book in PDF, ePub and Kindle
Kepler's three laws of planetary motion were a stunning development in human intellectual history. This second edition is a concise, self-contained treatment of Kepler/Newton planetary orbits at the level of an advanced undergraduate physics student. New to this edition are elements such as a detailed derivation of Newton's shell-point equivalency theorem, a revised derivation of the polar equation for an ellipse, Kepler's third law for non-inverse-square central potentials, a chapter on transfer and rendezvous orbits, and an expanded treatment of methods of calculating the average distance between the Sun and a planet. The approach is student-friendly, featuring brief sections, clear notation and diagrams, and mathematics that undergraduates will be comfortable with, accompanied by numerous exercises.
Author | : Robert Stainton |
Publisher | : Oxford University Press |
Total Pages | : 261 |
Release | : 2006 |
Genre | : Language Arts & Disciplines |
ISBN | : 0199250383 |
Download Words and Thoughts Book in PDF, ePub and Kindle
It is a near truism of philosophy of language that sentences are prior to words---that they are the only things that fundamentally have meaning. Robert's Stainton's study interrogates this idea, drawing on a wide body of evidence to argue that speakers can and do use mere words, not sentences, to communicate complex thoughts.
Author | : Anne Toner |
Publisher | : Cambridge University Press |
Total Pages | : 267 |
Release | : 2015-03-05 |
Genre | : Language Arts & Disciplines |
ISBN | : 1107073014 |
Download Ellipsis in English Literature Book in PDF, ePub and Kindle
A history of ellipsis marks and their functions in major works of English literature over the past 500 years.
Author | : Margrit Betke |
Publisher | : Springer Nature |
Total Pages | : 128 |
Release | : 2022-05-31 |
Genre | : Computers |
ISBN | : 303101815X |
Download Ellipse Fitting for Computer Vision Book in PDF, ePub and Kindle
Because circular objects are projected to ellipses in images, ellipse fitting is a first step for 3-D analysis of circular objects in computer vision applications. For this reason, the study of ellipse fitting began as soon as computers came into use for image analysis in the 1970s, but it is only recently that optimal computation techniques based on the statistical properties of noise were established. These include renormalization (1993), which was then improved as FNS (2000) and HEIV (2000). Later, further improvements, called hyperaccurate correction (2006), HyperLS (2009), and hyper-renormalization (2012), were presented. Today, these are regarded as the most accurate fitting methods among all known techniques. This book describes these algorithms as well implementation details and applications to 3-D scene analysis. We also present general mathematical theories of statistical optimization underlying all ellipse fitting algorithms, including rigorous covariance and bias analyses and the theoretical accuracy limit. The results can be directly applied to other computer vision tasks including computing fundamental matrices and homographies between images. This book can serve not simply as a reference of ellipse fitting algorithms for researchers, but also as learning material for beginners who want to start computer vision research. The sample program codes are downloadable from the website: https://sites.google.com/a/morganclaypool.com/ellipse-fitting-for-computer-vision-implementation-and-applications.
Author | : David Lippman |
Publisher | : |
Total Pages | : 0 |
Release | : 2022-07-14 |
Genre | : |
ISBN | : 9781955576000 |
Download Precalculus Book in PDF, ePub and Kindle
This is an open textbook covering a two-quarter pre-calculus sequence including trigonometry. The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. The second portion of the book introduces trigonometry, introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisited more extensively in the third chapter. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus.