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Theory and Consequences

Roger White, Guy Engelen, and Inge Uljee

in Modeling Cities and Regions As Complex Systems: From Theory to Planning Applications

Published in print:
2015
Published Online:
May 2016
ISBN:
9780262029568
eISBN:
9780262331371
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262029568.003.0002
Subject:
Political Science, Environmental Politics

Cities are systems maintained far from thermodynamic equilibrium by a constant inflow of energy and an outflow of entropy in the form of waste and pollution. Such systems exhibit complex, not ... More


From Cantor to Mandelbrot: Self-similarity and fractals

Iwo Białynicki-Birula and Iwona Białynicka-Birula

in Modeling Reality: How Computers Mirror Life

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198531005
eISBN:
9780191713033
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198531005.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Objects that look similar after magnification are said to have fractal structure. Perfect fractals can exist only in mathematics but in the real world we have plenty of approximate fractals, from ... More


Random systems

Hidetoshi Nishimori and Gerardo Ortiz

in Elements of Phase Transitions and Critical Phenomena

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199577224
eISBN:
9780191722943
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199577224.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Real materials always contain randomness or disorder that cannot be expressed by idealized simple model systems. The present chapter studies the effects of randomness on phase transitions and ... More


Beautiful Chaos?

in Borrowed Knowledge: Chaos Theory and the Challenge of Learning across Disciplines

Published in print:
2008
Published Online:
March 2013
ISBN:
9780226429786
eISBN:
9780226429809
Item type:
chapter
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226429809.003.0008
Subject:
Philosophy, Philosophy of Science

This chapter examines two of the most fully developed attempts to use chaos theory in aesthetic arguments about literature: the works of Alexander Argyros and Harriet Hawkins. First, it examines ... More


Music and Mathematics— Creating the Sublime

Tom McLeish

in The Poetry and Music of Science: Comparing Creativity in Science and Art

Published in print:
2019
Published Online:
March 2019
ISBN:
9780198797999
eISBN:
9780191839306
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198797999.003.0005
Subject:
Physics, History of Physics

The third mode of imagination is the abstract—the world shared by mathematics and music. Once held together in the ‘quadrivum’ of medieval liberal arts, they have now lost their obvious connection. ... More


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