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The Diophantine Frobenius Problem

Jorge L. Ramírez Alfonsín

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198568209
eISBN:
9780191718229
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568209.001.0001
Subject:
Mathematics, Algebra, Combinatorics / Graph Theory / Discrete Mathematics

During the early part of the last century, F. G. Frobenius raised, in his lectures, the following problem (called the Diophantine Frobenius Problem FP): given relatively prime positive integers a1, . ... More


Random Geometric Graphs

Mathew Penrose

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198506263
eISBN:
9780191707858
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506263.001.0001
Subject:
Mathematics, Probability / Statistics

This book sets out a body of rigorous mathematical theory for finite graphs with nodes placed randomly in Euclidean d-space according to a common probability density, and edges added to connect ... More


Statistics and Informatics in Molecular Cancer Research

Carsten Wiuf and Claus L. Andersen (eds)

Published in print:
2009
Published Online:
September 2009
ISBN:
9780199532872
eISBN:
9780191714467
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199532872.001.0001
Subject:
Mathematics, Probability / Statistics, Biostatistics

This book discusses novel advances in informatics and statistics in molecular cancer research. Through eight chapters it discusses specific topics in cancer research, talks about how the topics give ... More


Plotinus on Number

Svetla Slaveva-Griffin

Published in print:
2009
Published Online:
May 2009
ISBN:
9780195377194
eISBN:
9780199869572
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195377194.001.1
Subject:
Classical Studies, Ancient Greek, Roman, and Early Christian Philosophy

This book examines Plotinus’ concept of number, one of the most difficult and obscure topics in Neoplatonism. The book argues that Plotinus is the first philosopher who explains the Platonic “true ... More


Physicists Multiply, Social Scientists Add—Even When It Does Not Add Up

Rein Taagepera

in Making Social Sciences More Scientific: The Need for Predictive Models

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199534661
eISBN:
9780191715921
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534661.003.0005
Subject:
Political Science, Comparative Politics, Political Economy

Most physics equations include few variables and at most one freely adjustable constant, which multiply or divide. In contrast, regression equations favored in social sciences often have many ... More


Conclusion: In Defense of Plato

Svetla Slaveva-Griffin

in Plotinus on Number

Published in print:
2009
Published Online:
May 2009
ISBN:
9780195377194
eISBN:
9780199869572
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195377194.003.0008
Subject:
Classical Studies, Ancient Greek, Roman, and Early Christian Philosophy

The concept of number is the troublemaker in the history of Platonism. It separated the followers of Plato and Aristotle into two camps for generations. For Plotinus, however, the concept becomes the ... More


Mental Number Lines

Marcus Giaquinto

in Visual Thinking in Mathematics

Published in print:
2007
Published Online:
September 2007
ISBN:
9780199285945
eISBN:
9780191713811
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199285945.003.0006
Subject:
Philosophy, Logic/Philosophy of Mathematics

The main concern of this chapter is the association of numbers with a visually represented line. The association is usually acquired in junior school, and is then extended to provide an integrated ... More


Mental Number Line s

Marcus Giaquinto

in The Innate Mind: Volume 2: Culture and Cognition

Published in print:
2007
Published Online:
May 2007
ISBN:
9780195310139
eISBN:
9780199871209
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195310139.003.0008
Subject:
Philosophy, Philosophy of Mind

Along with our numeral systems, we have an innate sense of cardinal size at par with our sense of duration and distance, refined by cultural practices. The SNARC effect suggests that our number sense ... More


 What Doctors Must Know about Medical Practice

Bernard Gert, Charles M. Culver, and K. Danner Clouser

in Bioethics: A systematic approach

Published in print:
2006
Published Online:
September 2006
ISBN:
9780195159066
eISBN:
9780199786466
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195159063.003.0008
Subject:
Philosophy, Moral Philosophy

This chapter shows the importance of recognizing the probabilistic nature of medical diagnosis and treatment. It discusses the possibly serious effects of physicians not understanding Bayes theorem, ... More


Time for Aristotle: Physics IV. 10-14

Ursula Coope

Published in print:
2005
Published Online:
February 2006
ISBN:
9780199247905
eISBN:
9780191603082
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0199247900.001.0001
Subject:
Philosophy, Ancient Philosophy

This book is about Aristotle’s account of time in Physics IV.10-14. Aristotle claims that time is not a kind of change, but that it is something dependent on change. He defines it as a kind of ... More


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