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An Introduction to Analytical Fuzzy Plane Geometry

An Introduction to Analytical Fuzzy Plane Geometry
Author: Debdas Ghosh
Publisher: Springer
Total Pages: 206
Release: 2019-05-13
Genre: Technology & Engineering
ISBN: 3030157229

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This book offers a rigorous mathematical analysis of fuzzy geometrical ideas. It demonstrates the use of fuzzy points for interpreting an imprecise location and for representing an imprecise line by a fuzzy line. Further, it shows that a fuzzy circle can be used to represent a circle when its description is not known precisely, and that fuzzy conic sections can be used to describe imprecise conic sections. Moreover, it discusses fundamental notions on fuzzy geometry, including the concepts of fuzzy line segment and fuzzy distance, as well as key fuzzy operations, and includes several diagrams and numerical illustrations to make the topic more understandable. The book fills an important gap in the literature, providing the first comprehensive reference guide on the fuzzy mathematics of imprecise image subsets and imprecise geometrical objects. Mainly intended for researchers active in fuzzy optimization, it also includes chapters relevant for those working on fuzzy image processing and pattern recognition. Furthermore, it is a valuable resource for beginners interested in basic operations on fuzzy numbers, and can be used in university courses on fuzzy geometry, dealing with imprecise locations, imprecise lines, imprecise circles, and imprecise conic sections.


An Introduction to Analytical Plane Geometry

An Introduction to Analytical Plane Geometry
Author: W. P. Turnbull
Publisher: Forgotten Books
Total Pages: 274
Release: 2015-06-02
Genre: Mathematics
ISBN: 9781330004203

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Excerpt from An Introduction to Analytical Plane Geometry I the earlier part of this book - the part in which the method of co-ordinates is described and applied to the straight line and the conic sections - I have adopted the plan of Mr Todhunter's Co-ordinate Geometry, examining the parabola, ellipse, and hyperbola before discussing the general equation of the second degree. In the thirteenth chapter same account is given of projection and reciprocal polars. In applying perspective projection I have not ventured beyond real conceivable geometry. The last chapter introduces equations of higher degrees than the second. The reader of Mr Salmon's works will anticipate my great obligations to the Conic Sections and Higher Plane Curves. I would also make grateful mention of Mr. Ferrer's Trilinear Co ordinates, though I have not studied to keep strictly apart the methods of trilinear co-ordinates and abridged notation. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.


Applied Analysis, Optimization and Soft Computing

Applied Analysis, Optimization and Soft Computing
Author: Tanmoy Som
Publisher: Springer Nature
Total Pages: 425
Release: 2023-06-10
Genre: Mathematics
ISBN: 9819905974

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This book contains select contributions presented at the International Conference on Nonlinear Applied Analysis and Optimization (ICNAAO-2021), held at the Department of Mathematics Sciences, Indian Institute of Technology (BHU) Varanasi, India, from 21–23 December 2021. The book discusses topics in the areas of nonlinear analysis, fixed point theory, dynamical systems, optimization, fractals, applications to differential/integral equations, signal and image processing, and soft computing, and exposes the young talents with the newer dimensions in these areas with their practical approaches and to tackle the real-life problems in engineering, medical and social sciences. Scientists from the U.S.A., Austria, France, Mexico, Romania, and India have contributed their research. All the submissions are peer reviewed by experts in their fields.


An Introduction to Analytical Plane Geometry - Scholar's Choice Edition

An Introduction to Analytical Plane Geometry - Scholar's Choice Edition
Author: William Peverill Turnbull
Publisher: Scholar's Choice
Total Pages: 276
Release: 2015-02-19
Genre:
ISBN: 9781296285241

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.


An Introductory Account of Certain Modern Ideas and Methods in Plane Analytical Geometry

An Introductory Account of Certain Modern Ideas and Methods in Plane Analytical Geometry
Author: Charlotte Angas Scott
Publisher: Hardpress Publishing
Total Pages: 314
Release: 2012-08
Genre: History
ISBN: 9781290440738

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Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.