Verwandte Artikel zu Order of Magnitude Reasoning in Qualitative Differential...
Inhaltsangabe
Excerpt from Order of Magnitude Reasoning in Qualitative Differential Equations
The paper is organized as follows: Section 2 presents fundamental definitions and rules that govern the behavior of a solution to a set of qualitative differential equations. The basis of the definitions and the justifications of the rules lie in the theory of non-standard analysis with infinitesimals. Section 3 shows how these rules may be applied in the heavy block on the spring example and other examples. Section 4 presents an algorithm for constructing an envisionment graph from a set of qualitative differential equations. Section 5 discusses the chepachet program, which implements this algorithm. Section 6 makes suggestions for further work. We assume that the reader is familiar with standard theories of envisionment.
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 18,42
EUR 0,77 für den Versand von USA nach Deutschland
Versandziele, Kosten & Dauer
Suchergebnisse für Order of Magnitude Reasoning in Qualitative Differential...
Beispielbild für diese ISBN
Order of Magnitude Reasoning in Qualitative Differential Equations 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 LX-9781334016677
Anzahl: 15 verfügbar
Beispielbild für diese ISBN
Order of Magnitude Reasoning in Qualitative Differential Equations 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 LX-9781334016677
Anzahl: 15 verfügbar
Beispielbild für diese ISBN
Order of Magnitude Reasoning in Qualitative Differential Equations
Print-on-DemandAnbieter: Forgotten Books, London, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Paperback. Zustand: New. Print on Demand. This book presents qualitative differential equations, which combines order-of-magnitude reasoning with envisionment of mathematical equations. The theory presented in this book can be applied to dynamical systems containing parameters of various magnitudes. The author proposes two key innovations. Firstly, each state of the system is given a duration and the net change to each parameter during the state. Secondly, the author introduces a set of rules governing the behavior of functions over orders of magnitude. These innovations extend the reader's ability to analyze the dynamic behavior of systems, enabling inferences about systems with quantities of widely varying magnitudes. 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 9781334016677_0
Anzahl: Mehr als 20 verfügbar