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Excerpt from The Probability That a Numerical, Analysis Problem Is Difficult
The main justification for using a uniform distribution is that it appears to be fair: each problem is as likely as any other. However, it does not appear to apply in many practical cases for a variety of reasons, including the fact that any set of problems which can be represented in a computer is necessarily discrete rather than continuous. We will discuss the validity of our choice of uniform distribution as well as alternatives at length in section 6 below.
Finally, given this distribution, we must compute the induced probability distribution of the condition number. It turns out that all the problems we consider here have a common geometric structure which lets us compute the distributions of their condition numbers with a single analysis, which goes as follows.
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- EditoreForgotten Books
- Data di pubblicazione2018
- ISBN 10 1330257162
- ISBN 13 9781330257166
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero di pagine40
- Contatto del produttorenon disponibile
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The Probability That a Numerical, Analysis Problem Is Difficult (Classic Reprint)
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The Probability That a Numerical, Analysis Problem Is Difficult (Classic Reprint)
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781330257166
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The Probability That a Numerical, Analysis Problem Is Difficult
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Paperback. Condizione: New. Print on Demand. This book explores the likelihood that a numerical analysis problem will be difficult, the circumstances surrounding the circumstances that raise the difficulty, and statistical methods for understanding the frequency of these difficulties. Through this analysis, the author positions these problems within their broader historical context and presents a methodology to increase the probability that a problem will have a solution, which extends the applicability of numerical methods to new classes of problems. 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. Codice articolo 9781330257166_0
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