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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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