Journal article

Informatic vs. classical differentiation on the real line

Abstract:: We study the relationship between informatic and classical differentiation on the real line. The former arises when considering the interval domain over the reals equipped with the Lebesgue measurement. We show that informatic differentiation is a strict generalization of its classical counterpart, and wonder if it can provide a springboard towards extending techniques and results from calculus to certain non classically differentiable functions.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Martin, K., & Ouaknine, J. (2004). Informatic vs. classical differentiation on the real line. Electronic Notes in Theoretical Computer Science, 73, 133–140.

MLA Style

Martin, K, and J Ouaknine. “Informatic vs. Classical Differentiation on the Real Line.” Electronic Notes in Theoretical Computer Science, Publisher's version, vol. 73, 2004, pp. 133–40.

Chicago Style

Martin, K, and J Ouaknine. 2004. “Informatic vs. Classical Differentiation on the Real Line.” Electronic Notes in Theoretical Computer Science 73: 133–40.
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Files:: Informatic vs. classical differentiation on the real line.pdf

(Preview, Version of record, pdf, 263.9KB, Terms of use)

Publisher copy:: 10.1016/j.entcs.2004.08.006

Authors

+ Martin, K More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Computer Science
Role:: Author

+ Ouaknine, J More by this author

Role:: Author

+ Army Research Office More from this funder

Grant:: DAAD19-01-1-0485

+ Office of Naval Research More from this funder

Grant:: N00014-95-1-0520

+ Defense Advanced Research Projects Agency More from this funder

Publisher:: Elsevier
Journal:: Electronic Notes in Theoretical Computer Science More from this journal
Volume:: 73
Pages:: 133–140
Publication date:: 2004-10-01
Edition:: Publisher's version
DOI:: 10.1016/j.entcs.2004.08.006
ISSN:: 1571-0661

Language:: English
Keywords:: measurement

calculus

domain theory

informatic derivative

interval domain
Subjects:: Political science

Computer science (mathematics)

Computing
UUID:: uuid:f82671ef-65ca-47cd-a4c4-a1d1b0da5bfb
Local pid:: ora:10711
Deposit date:: 2015-03-24
ARK identifier:: ark:/29072/ora_f82671ef65ca47cda4c4a1d1b0da5bfb

Terms of use

Copyright holder:: Elsevier BV
Copyright date:: 2006
Notes:: © 2004 Elsevier B.V. Open access under CC BY-NC-ND license.

Licence:: CC Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND)

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