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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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Publisher copy:
10.1016/j.entcs.2004.08.006

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
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Name:
Army Research Office
Grant:
DAAD19-01-1-0485
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Name:
Office of Naval Research
Grant:
N00014-95-1-0520
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Name:
Defense Advanced Research Projects Agency
Publisher:
Elsevier
Journal:
Electronic Notes in Theoretical Computer Science More from this journal
Volume:
73
Pages:
133–140
Publication date:
2004-10-01
DOI:
ISSN:
1571-0661
Language:
English
Keywords:
Subjects:
UUID:
uuid:f82671ef-65ca-47cd-a4c4-a1d1b0da5bfb
Local pid:
ora:10711
Deposit date:
2015-03-24

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