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Using APL2 to compute the dimension of a fractal represented as a grammar
- Source :
- APL, Scopus-Elsevier, Biblos-e Archivo. Repositorio Institucional de la UAM, instname
- Publication Year :
- 2000
- Publisher :
- ACM, 2000.
-
Abstract
- This is the author's version of the work. It is posted here for your personal use. Not for redistribution. The definitive Version of Record was published in APL Quote Quad, http://dx.doi.org/10.1145/570440.570477<br />In this paper we describe the use of APL2 to implement and depict the equivalence between the mathematical field of fractal curves and the linguistic field of parallel derivation grammars, by tackling the problem of determining the dimension of a fractal from its representation as a grammar. APL2 makes the required computation quite easy.<br />This paper has been sponsored by the Spanish Interdepartmental Commission of Science and Technology (CICYT), project numbers TEL1999-0181 and TEL97- 0306.
- Subjects :
- Informática
Theoretical computer science
Grammar
Computer science
Computation
media_common.quotation_subject
Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)
Field (mathematics)
General Medicine
Rewrite systems
APL
Algebra
Language types
TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES
Fractal
Rule-based machine translation
Equivalence (formal languages)
Wavelets and fractals
media_common
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- Proceedings of the international conference on APL-Berlin-2000 conference
- Accession number :
- edsair.doi.dedup.....1215b908a149e181b1ea82e3a474524c
- Full Text :
- https://doi.org/10.1145/570475.570477