Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves (Classic Reprint) - Tapa blanda
Sinopsis
Excerpt from Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves
Transformation steps: checking if two polygons are equivalent is in itself a trivial process of keeping a cumulative sum of the angles turned. The key insight comes from putting the vertices on a circle, thereby reducing polygons to combinatorial objects (the cyclic permutation of their vertices around.
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.
"Sinopsis" puede pertenecer a otra edición de este libro.
Reseña del editor
Excerpt from Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves
Transformation steps: checking if two polygons are equivalent is in itself a trivial process of keeping a cumulative sum of the angles turned. The key insight comes from putting the vertices on a circle, thereby reducing polygons to combinatorial objects (the cyclic permutation of their vertices around.
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.
Reseña del editor
Excerpt from Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves
Our proof shows incidentally: (1) It suffices to use (t1,t2) transformations to make a polygon irreducible and (2) any two equivalent irreducible polygons are inter-transformable using only (t2)
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.
"Sobre este título" puede pertenecer a otra edición de este libro.
Otras ediciones populares con el mismo título
Resultados de la búsqueda para Constructive Hopf's Theorem, or How to Untangle...
Imagen del vendedor
Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
Calificación del vendedor: 4 de 5 estrellas
Paperback. Condición: New. Print on Demand. This book presents a constructive proof of Hopf's theorem, providing a groundbreaking algorithmic approach to untangling closed planar curves. The author's direct proof offers quantitative and complexity information implicit in the result. The text delves into the classication of polygons, utilizing a unique approach that involves transformations such as insertion, deletion, and translation. This work advances the field of computational geometry, providing valuable insights into the behavior of closed curves and their classification. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781332870813_0
Comprar nuevo
EUR 15,13
Gastos de envío gratis
Se envía de Reino Unido a Estados Unidos de America
Se envía de Reino Unido a Estados Unidos de America
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves Classic Reprint
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332870813
Comprar nuevo
EUR 21,51
Gastos de envío gratis
Se envía dentro de Estados Unidos de America
Se envía dentro de Estados Unidos de America
Cantidad disponible: 15 disponibles
Imagen de archivo
Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves Classic Reprint
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
Calificación del vendedor: 4 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332870813
Comprar nuevo
EUR 21,24
Envío por EUR 3,80
Se envía de Reino Unido a Estados Unidos de America
Se envía de Reino Unido a Estados Unidos de America
Cantidad disponible: 15 disponibles