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The Elusive Distinction Between Mathematics and Natural Science

Michael D. Resnik

in Mathematics as a Science of Patterns

Published in print:
1999
Published Online:
November 2003
ISBN:
9780198250142
eISBN:
9780191598296
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198250142.003.0006
Subject:
Philosophy, Logic/Philosophy of Mathematics

It is commonly believed that the epistemology of mathematics must be different from the epistemology of science because their objects are different in kind, i.e. metaphysically different. In this ... More


Designing carnivore surveys

Luigi Boitani, Paolo Ciucci, and Alessio Mortelliti

in Carnivore Ecology and Conservation: A Handbook of Techniques

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199558520
eISBN:
9780191774546
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199558520.003.0002
Subject:
Biology, Biodiversity / Conservation Biology, Ecology

This chapter examines the challenges associated with planning and implementing a field survey on carnivores. Following the definition of the term ‘survey’, the main issues associated with the several ... More


Color and Sexual Deception in Orchids:: Progress toward Understanding the Functions and Pollinator Perception of Floral Color

A. C. Gaskett

in Darwin's Orchids: Then and Now

Published in print:
2014
Published Online:
May 2015
ISBN:
9780226044910
eISBN:
9780226173641
Item type:
chapter
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226173641.003.0011
Subject:
Biology, Natural History and Field Guides

If Darwin (1862, 1877) had been able to use the modern protocols and equipment used to determine how orchid visiting insects detected color patterns, it is likely he would have described the extent ... More


Beating, Unisons, and Tuning

David M. Koenig

in Spectral Analysis of Musical Sounds with Emphasis on the Piano

Published in print:
2014
Published Online:
January 2015
ISBN:
9780198722908
eISBN:
9780191789571
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198722908.003.0013
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The line spectrum can be used to monitor and even assist in tuning a piano. In fact, for those like the author, who do not have the experience or expertise to tune by ear, the line spectrum approach ... More


Metrics on Photometric and Geometric Deformable Templates

Ulf Grenander and Michael I. Miller

in Pattern Theory: From representation to inference

Published in print:
2006
Published Online:
November 2020
ISBN:
9780198505709
eISBN:
9780191916564
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198505709.003.0013
Subject:
Computer Science, Programming Languages

In this chapter the metric structure developed for geometric transformations is extended to define a metric structure on the images which they act. Defined as an orbit ... More


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