Algebraic Computations with Hausdorff Continuous Functions

Anguelov, Roumen

Serdica Journal of Computing (2007)

  • Volume: 1, Issue: 4, page 443-454
  • ISSN: 1312-6555

Abstract

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The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006.The set of Hausdorff continuous functions is the largest set of interval valued functions to which the ring structure of the set of continuous real functions can be extended. The paper deals with the automation of the algebraic operations for Hausdorff continuous functions using an ultra- arithmetical approach.

How to cite

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Anguelov, Roumen. "Algebraic Computations with Hausdorff Continuous Functions." Serdica Journal of Computing 1.4 (2007): 443-454. <http://eudml.org/doc/11435>.

@article{Anguelov2007,
abstract = {The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006.The set of Hausdorff continuous functions is the largest set of interval valued functions to which the ring structure of the set of continuous real functions can be extended. The paper deals with the automation of the algebraic operations for Hausdorff continuous functions using an ultra- arithmetical approach.},
author = {Anguelov, Roumen},
journal = {Serdica Journal of Computing},
keywords = {Hausdorff Continuous Function; Ultra-arithmetical Functoid; Hausdorff continuous function; ultra-arithmetical functoid},
language = {eng},
number = {4},
pages = {443-454},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Algebraic Computations with Hausdorff Continuous Functions},
url = {http://eudml.org/doc/11435},
volume = {1},
year = {2007},
}

TY - JOUR
AU - Anguelov, Roumen
TI - Algebraic Computations with Hausdorff Continuous Functions
JO - Serdica Journal of Computing
PY - 2007
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 1
IS - 4
SP - 443
EP - 454
AB - The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006.The set of Hausdorff continuous functions is the largest set of interval valued functions to which the ring structure of the set of continuous real functions can be extended. The paper deals with the automation of the algebraic operations for Hausdorff continuous functions using an ultra- arithmetical approach.
LA - eng
KW - Hausdorff Continuous Function; Ultra-arithmetical Functoid; Hausdorff continuous function; ultra-arithmetical functoid
UR - http://eudml.org/doc/11435
ER -

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