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Genomes as Permutations

Guillaume Fertin, Anthony Labarre, Irena Rusu, Eric Tannier, and Steéphane Vialette

in Combinatorics of Genome Rearrangements

Published in print:
2009
Published Online:
August 2013
ISBN:
9780262062824
eISBN:
9780262258753
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262062824.003.0002
Subject:
Mathematics, Mathematical Biology

Permutations were the first mathematical objects to serve as formal models for studying arrangements of DNA fragments among several species. This chapter discusses the following: the symmetric group; ... More


How Analysis and Synthesis are Related

Kurt Smith

in Matter Matters: Metaphysics and Methodology in the Early Modern Period

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199583652
eISBN:
9780191723155
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199583652.003.0013
Subject:
Philosophy, History of Philosophy, Metaphysics/Epistemology

This chapter shows how the combinatorial nature of bodies expresses the permutation group concept, the latter expressing the conditions underwriting a genuine mathematical system. The chapter ... More


Formal Models in Narrative Analysis

David Herman

Apostolos Doxiadis and Barry Mazur (eds)

in Circles Disturbed: The Interplay of Mathematics and Narrative

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691149042
eISBN:
9781400842681
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691149042.003.0013
Subject:
Mathematics, History of Mathematics

This chapter considers formal models of narrative and the nature of the theory of narrative. After discussing the diachronic and synchronic approaches to investigating the role of formal models in ... More


Enumeration (18th–20th centuries)

E. KEITH LLOYD

in Combinatorics: Ancient and Modern

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199656592
eISBN:
9780191748059
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199656592.003.0013
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics, History of Mathematics

By the end of the 18th century, what is now called ‘enumerative combinatorics’ was emerging as a distinct discipline. The connections between certain combinatorial problems and algebraical expansions ... More


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