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Journal of Symbolic Computation
Article
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Journal of Symbolic Computation
Article . 1988
License: Elsevier Non-Commercial
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Journal of Symbolic Computation
Article . 1988 . Peer-reviewed
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https://doi.org/10.1007/3-540-...
Part of book or chapter of book . 1985 . Peer-reviewed
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zbMATH Open
Article . 1988
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A cluster-based cylindrical algebraic decomposition algorithm

Authors: Arnon, Dennis S.;

A cluster-based cylindrical algebraic decomposition algorithm

Abstract

Assuming the availability of a cylindrical algebraic decomposition (cad) algorithm that not only determines the cells of the cad but also identifies pairs of adjacent cells, a modified cad algorithm is presented. It uses clusters of cells (a collection of cells whose union is connected) and seems to be more efficient in some cases than the original (but also less efficient in other examples).

Related Organizations
Keywords

clusters of cells, Computational Mathematics, Software, source code, etc. for problems pertaining to field theory, Algebra and Number Theory, Projective techniques in algebraic geometry, cylindrical algebraic decomposition, Symbolic computation and algebraic computation, Software, source code, etc. for problems pertaining to algebraic geometry

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    21
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
21
Top 10%
Top 1%
Average
hybrid