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A Treatise on the Stability of a Given State of Motion, Particularly Steady Motion: Being the Essay to Which the Adams Prize Was Adjudged in 1877, in the University of Cambridge (Classic Reprint) - Softcover
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Excerpt from A Treatise on the Stability of a Given State of Motion, Particularly Steady Motion: Being the Essay to Which the Adams Prize Was Adjudged in 1877, in the University of Cambridge
The Examiners give notice that the following is the subject of the Prize to be adjudged in 1877 The Criterion of Dynamical Stability.
To illustrate the meaning Of the question imagine a particle to slide down inside a smooth inclined cylinder along the lowest generating line, or to slide down outside along the highest generating line. In the former case a slight derangement of the motion would merely cause the particle to oscillate about the generating line, while in the latter case the particle would depart from the generating line altogether. The motion in the former case would be, in the sense of the question, stable, in the latter unstable.
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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.
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Excerpt from A Treatise on the Stability of a Given State of Motion, Particularly Steady Motion: Being the Essay to Which the Adams Prize Was Adjudged in 1877, in the University of Cambridge
In March, 1875, the usual biennial notice was issued, giving the subjects for the Adams Prize to be adjudged in 1877. The following is the chief portion of the notice:
The University having accepted a Fund raised by several members of St Johns College for the purpose of founding a Prize to be called the Adams Frize, for the best essay on some subject of Piue Mathematics, Astronomy or other branch of Natural Philosophy, the Prize to be given once in two years, and to be open to the competition of all persons who have at any time been admitted to a degree in this University -
The Examiners give notice that the following is the subject of the Prize to be adjudged in 1877: The Criterion of dynamical stability.
To illustrate the meaning of the question imagine a particle to slide down inside a smooth inclined cylinder along the lowest generating line, or to slide down outside along the highest generating line. In the former case a slight derangement of the motion would merely cause the particle to oscillate about the generating line, while in the latter case the particle would depart from the generating line altogether. The motion in the former case would be, in the sense of the question, stable, in the latter unstable.
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.
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- VerlagForgotten Books
- Erscheinungsdatum2018
- ISBN 10 1332621082
- ISBN 13 9781332621088
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten128
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A Treatise on the Stability of a Given State of Motion, Particularly Steady
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Paperback. Zustand: New. Print on Demand. This book delves into the fascinating world of dynamical stability, exploring the conditions under which a system in motion remains stable when subjected to disturbances. The author, writing in the late 19th century, tackles this complex subject by examining the intricate relationship between the roots of a specific mathematical equation and the stability of the system. Building on the work of mathematicians like Cauchy, the author develops a comprehensive framework for analyzing the nature of these roots. He introduces the concept of a "derived equation," a tool that helps predict whether the original equation's roots indicate stability or instability. This book offers a rigorous yet accessible examination of the mathematical underpinnings of dynamical stability, illuminating how seemingly small perturbations can drastically alter the behavior of complex systems. The author's groundbreaking work provides crucial insights into the delicate balance between stability and instability, laying the groundwork for further exploration of this fundamental scientific principle. 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 9781332621088_0
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A Treatise on the Stability of a Given State of Motion, Particularly Steady Motion Being the Essay to Which the Adams Prize Was Adjudged in 1877, in the University of Cambridge Classic Reprint
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A Treatise on the Stability of a Given State of Motion, Particularly Steady Motion Being the Essay to Which the Adams Prize Was Adjudged in 1877, in the University of Cambridge Classic Reprint
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332621088
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