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ARNOLDS CAT MAP [1 record]
Record 1 - internal organization data 2012-01-26
Record 1, English
Record 1, Subject field(s)
- Mathematics
- Computer Graphics
Record 1, Main entry term, English
- Arnold's cat map
1, record 1, English, Arnold%27s%20cat%20map
correct
Record 1, Abbreviations, English
Record 1, Synonyms, English
- Arnold's cat 2, record 1, English, Arnold%27s%20cat
correct
- cat map 3, record 1, English, cat%20map
correct
- area-preserving cat map 3, record 1, English, area%2Dpreserving%20cat%20map
correct
Record 1, Textual support, English
Record number: 1, Textual support number: 1 DEF
A two-dimensional map used for the description of Hamiltonian nonlinear systems. The distortion engendered by this transformation is reminiscent of a maladjusted out-of-sync television set. The map is expanding in one direction and contracting in the orthogonal direction. 3, record 1, English, - Arnold%27s%20cat%20map
Record number: 1, Textual support number: 1 CONT
Dr. Arnold’s math explanations also exhibited playfulness. In one of his books, he explained a simple algorithm that stretches and rearranges an image, shredding it into a chaotic mess. In the book, Dr. Arnold illustrated the idea with a sketch of a cat’s head that is now known as Arnold’s Cat Map. 4, record 1, English, - Arnold%27s%20cat%20map
Record number: 1, Textual support number: 1 OBS
A word about spelling: we use "Arnold", as opposed to "Arnol'd"; the latter is closer to the Russian pronunciation, but Vladimir Arnold preferred the former (it is used in numerous translations of his books into English) ... 5, record 1, English, - Arnold%27s%20cat%20map
Record 1, Key term(s)
- Arnol'd's cat map
- Arnol'd's cat
Record 1, French
Record 1, Domaine(s)
- Mathématiques
- Infographie
Record 1, Main entry term, French
- chat d'Arnold
1, record 1, French, chat%20d%27Arnold
correct, masculine noun
Record 1, Abbreviations, French
Record 1, Synonyms, French
- chat d'Arnol'd 2, record 1, French, chat%20d%27Arnol%27d
correct, masculine noun
Record 1, Textual support, French
Record number: 1, Textual support number: 1 DEF
Transformation discontinue inversible caractérisée par une conservation des aires : la contraction d'un facteur 1/2 le long de l'axe vertical est compensée par une dilatation d'un facteur 2 le long de l'axe horizontal. 1, record 1, French, - chat%20d%27Arnold
Record 1, Spanish
Record 1, Textual support, Spanish
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