Verwandte Artikel zu Infinite Loops in Finite Time Some Observations (Classic...
Inhaltsangabe
Excerpt from Infinite Loops in Finite Time Some Observations
The second difficulty is that a number of physical theories actually predict the occurrence of clustered variation. These theories are idealizations, but they are reasonable and useful idealizations, that can only be avoided at substantial cost. The best known of these (discussed in [fleck, is the bouncing ball (figure The simplest and most straightforward model of a ball bouncing on the ground is that the ball is a rigid object, and that at each bounce, the ball bounces up with a speed that is a fixed fraction p of the speed with which it hit.4 Since the time between bounces is proportional to the speed leaving the ground, it follows that the time between bounces decreases in a geometric series, and that therefore the ball attains perfect rest in a finite time, having carried out infinitely many bounces. (note that this is different from a standard damped harmonic oscillator, in which the frequency is constant, and the system therefore in principle never reaches a state of absolute rest.) Admittedly, this is an idealization; with an actual ball, beyond a certain point, the system will be dominated by the internal vibrations of the ball, which have a fixed frequency. However, to take this into account would require modelling the ball as an elastic object, which greatly complicates reasoning.
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.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Neu kaufen
Diesen Artikel anzeigen
EUR 15,19
Gratis für den Versand von Vereinigtes Königreich nach USA
Versandziele, Kosten & DauerWeitere beliebte Ausgaben desselben Titels
Suchergebnisse für Infinite Loops in Finite Time Some Observations (Classic...
Foto des Verkäufers
Infinite Loops in Finite Time Some Observations (Classic Reprint)
Print-on-DemandAnbieter: Forgotten Books, London, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Paperback. Zustand: New. Print on Demand. This compelling book investigates the complex interplay between time and space, a subject that fascinated the likes of Zeno, Aristotle, and Einstein. The author, a renowned expert on physical reasoning, contemplates how we might perceive the world differently if time and space were not continuous. The book also examines the philosophical quandaries posed by clustered variation, a phenomenon where there are infinite variations within a finite period. This concept has sparked intense debate among philosophers and physicists, leading to new perspectives on the fundamental nature of reality. The author delves deep into the implications of space and time being finite or infinite, and explores the related paradoxes that have puzzled thinkers for centuries. Along the way, they provide novel insights into the nature of physical reality and its implications for our understanding of the universe. This book brings fresh insights and perspectives to an age-old philosophical conundrum. It is a must-read for anyone interested in the foundations of physics, the nature of time and space, and the limits of human understanding. 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. Bestandsnummer des Verkäufers 9781332143825_0
Anzahl: Mehr als 20 verfügbar
Beispielbild für diese ISBN
Infinite Loops in Finite Time Some Observations Classic Reprint
Anbieter: PBShop.store US, Wood Dale, IL, USA
Verkäuferbewertung 5 von 5 Sternen
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332143825
Anzahl: 15 verfügbar
Beispielbild für diese ISBN
Infinite Loops in Finite Time Some Observations Classic Reprint
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332143825
Anzahl: 15 verfügbar