The Method of Coordinates

The Method of Coordinates PDF

Author: I. M. Gelfand

Publisher: Courier Corporation

Published: 2002-01-01

Total Pages: 82

ISBN-13: 9780486425658

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Two-part treatment begins with discussions of coordinates of points on a line, coordinates of points in a plane, and coordinates of points in space. Part two examines geometry as an aid to calculation and peculiarities of four-dimensional space. Abundance of ingenious problems — includes solutions, answers, and hints. 1967 edition.

Functions and Graphs

Functions and Graphs PDF

Author: I. M. Gelfand

Publisher: Courier Corporation

Published: 2013-04-09

Total Pages: 112

ISBN-13: 0486317137

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This text demonstrates the fundamentals of graph theory. The 1st part employs simple functions to analyze basics; 2nd half deals with linear functions, quadratic trinomials, linear fractional functions, power functions, rational functions. 1969 edition.

Basic GIS Coordinates

Basic GIS Coordinates PDF

Author: Jan Van Sickle

Publisher: CRC Press

Published: 2017-07-06

Total Pages: 219

ISBN-13: 1351650718

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Coordinates are integral building tools for GIS, cartography, surveying and are vital to the many applications we use today such as smart phones, car navigation systems and driverless cars. Basic GIS Coordinates, Third Edition grants readers with a solid understanding of coordinates and coordinate systems and how they operate as well as valuable insight into what causes them to malfunction. This practical and comprehensive guide lays out the foundation of a coordinate system and the implications behind building it as it elaborates on heights, two coordinate systems, and the rectangular system.The previous editions described horizontal and vertical datums such as the North American Datum 1983 (NAD 83) and the North American Vertical Datum 1988 (NAVD 88). Both will be replaced in 2022 or thereabouts. The National Geodetic Survey (NGS) plans to replace NAD83 with a new semi-dynamic terrestrial reference frame for North America and a new vertical datum will replace NAVD88. The foundation of the new vertical datum will be a temporally tracked gravimetric geoid. The interim period is intended to smooth the transition to the new paradigm and this new edition explores the changes and provides assistance in understanding them.

The Coordinate

The Coordinate PDF

Author: Marc Jacobs

Publisher: R. R. Bowker

Published: 2019-05-25

Total Pages: 328

ISBN-13: 9780578519609

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Logan West and Emma James grew up together but are now high school seniors going in totally opposite directions after graduation. When they are assigned to work together on one last history project, they hardly expect the monotony of high school life to change. Instead, as they decode a series of unexplained clues hidden within their history project itself, Logan and Emma manage to unfold an ancient mystery that has baffled scientists and archeologists, one with powerful implications for the present day. As they embrace the adventure they've stumbled upon, and a growing romantic attraction to each other, Logan and Emma find themselves caught up in a dangerous, high-stakes race across the globe to decipher mankind's past in order to save humanity's future, not to mention their very own lives, with a mystery that just might reach towards the stars...

Algebra

Algebra PDF

Author: I.M. Gelfand

Publisher: Springer Science & Business Media

Published: 2003-07-09

Total Pages: 164

ISBN-13: 9780817636777

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This book is about algebra. This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.

Parallel Coordinates

Parallel Coordinates PDF

Author: Alfred Inselberg

Publisher: Springer Science & Business Media

Published: 2009-08-15

Total Pages: 571

ISBN-13: 0387686282

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This is one book that can genuinely be said to be straight from the horse’s mouth. Written by the originator of the technique, it examines parallel coordinates as the leading methodology for multidimensional visualization. Starting from geometric foundations, this is the first systematic and rigorous exposition of the methodology's mathematical and algorithmic components. It covers, among many others, the visualization of multidimensional lines, minimum distances, planes, hyperplanes, and clusters of "near" planes. The last chapter explains in a non-technical way the methodology's application to visual and automatic data mining. The principles of the latter, along with guidelines, strategies and algorithms are illustrated in detail on real high-dimensional datasets.