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Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other
Mathematicians delight in finding surprising connections between seemingly disparate areas of mathematics. Finding Ellipses is a delight-filled romp across a three-way unexpected connection between complex analysis, linear algebra, and projective geometry.
Ellipses Inscribed in, and Circumscribed about, Quadrilaterals
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 ...
The Ellipse
The Ellipse: The Fall and Rise of the Human Soul, Secrets of the Cosmos describes the cosmic laws of the universe ruling the reality of the human experience and the destiny of humanity. It is an in depth study of the spiritual science that is the source of all religion, and the cause of the human condition. The term ellipse which means imperfect circle, as opposed to the perfect circle, is the updated metaphor that replaces the traditional concepts of God and the devil, and good and evil as the human race evolves out of the age of mythology to the era of the merging of science and spirituality. This spiritual saga describes the inner and outer soul of the universe, the apocalypse, and the destiny of the human race. Delving deeper than any metaphysical writer of the past or present, the book reveals new insights about the fall of man and the soul's journey to its ultimate destiny in unraveling the mysteries of its existence. It also clarifies pervasive distortions and misconceptions within religion and metaphysics.
Why Do My Ellipses Look Like Doughnuts? Plus 25 Solutions to Other Still Life Painting Peeves
Producing still life artwork can be a satisfying experience, as the artist is easily able to paint from life without the pressures of the shifting light or inclement weather. Not only that, any object can be selected, shifted about or the light source modified at will, meaning the artist has complete control over what lies in front.But challenges are certain to present themselves during the journey. Examples might be why ellipses end up looking like doughnuts, why porcelain looks more like clay or why fruit looks plastic. Some of these challenges may prove more difficult than others and unchecked, might cause a creative block. This is where this book comes in. With down to earth advice on co...
Always On
In Always On, Naomi S. Baron reveals that online and mobile technologies--including instant messaging, cell phones, multitasking, Facebook, blogs, and wikis--are profoundly influencing how we read and write, speak and listen, but not in the ways we might suppose. Baron draws on a decade of research to provide an eye-opening look at language in an online and mobile world. She reveals for instance that email, IM, and text messaging have had surprisingly little impact on student writing. Electronic media has magnified the laid-back "whatever" attitude toward formal writing that young people everywhere have embraced, but it is not a cause of it. A more troubling trend, according to Baron, is the...
Pre-Calculus For Dummies
Offers an introduction to the principles of pre-calculus, covering such topics as functions, law of sines and cosines, identities, sequences, series, and binomials.
The Blue Book of Grammar and Punctuation
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.
The New Fibonacci Trader
CD-ROM contains: WINPHI software.
Keplerian Ellipses
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.
