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Geometry of branch cuts

Published: 28 January 2011 Publication History
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References

[1]
Beaumont, J., Bradford, R., Davenport, J., and Phisanbut, N. A Poly-Algorithmic Approach to Simplifying Elementary Functions. In Proceedings ISSAC 2004 (2004), J. Gutierrez, Ed., pp. 27--34.
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Beaumont, J., Bradford, R., Davenport, J., and Phisanbut, N. Adherence is Better Than Adjacency. In Proceedings ISSAC 2005 (2005), M. Kauers, Ed., pp. 37--44.
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Beaumont, J., Bradford, R., Davenport, J., and Phisanbut, N. Testing Elementary Function Identities Using CAD. AAECC 18 (2007), 513--543.
[4]
Beaumont, J., Bradford, R., and Phisanbut, N. Practical Simplification of Elementary Functions Using CAD. In Proceedings A3L (2005), pp. 35--40.
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Bradford, R., and Davenport, J. Towards Better Simplification of Elementary Functions. In Proceedings ISSAC 2002 (2002), T. Mora, Ed., pp. 15--22.
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Brown, C. QEPCAD B: a program for computing with semi-algebraic sets using CADs. ACM SIGSAM Bulletin 4 37 (2003), 97--108.
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Chen, C., Moreno Maza, M., Xia, B., and Yang, L. Computing Cylindrical Algebraic Decomposition via Triangular Decomposition. In Proceedings ISSAC 2009 (2009), J. May, Ed., pp. 95--102.
[8]
Collins, G. Quantifier Elimination for Real Closed Fields by Cylindrical Algebraic Decomposition. In Proceedings 2nd. GI Conference Automata Theory & Formal Languages (1975), pp. 134--183.
[9]
Dingle, A., and Fateman, R. Branch cuts in computer algebra. In Proceedings ISSAC 1994 (1994), pp. 250--257.
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Moses, J. Algebraic Simplification --- A Guide for the Perplexed. Comm. ACM 14 (1971), 527--537.

Cited By

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  • (2013)Cylindrical algebraic decompositions for boolean combinationsProceedings of the 38th International Symposium on Symbolic and Algebraic Computation10.1145/2465506.2465516(125-132)Online publication date: 26-Jun-2013
  • (2013)Understanding branch cuts of expressionsProceedings of the 2013 international conference on Intelligent Computer Mathematics10.1007/978-3-642-39320-4_9(136-151)Online publication date: 8-Jul-2013
  • (2012)Computing the real solutions of polynomial systems with the RegularChains library in MapleACM Communications in Computer Algebra10.1145/2110170.211017445:3/4(166-168)Online publication date: 23-Jan-2012
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Published In

cover image ACM Communications in Computer Algebra
ACM Communications in Computer Algebra  Volume 44, Issue 3/4
September/December 2010
145 pages
ISSN:1932-2232
EISSN:1932-2240
DOI:10.1145/1940475
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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 28 January 2011
Published in SIGSAM-CCA Volume 44, Issue 3/4

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Cited By

View all
  • (2013)Cylindrical algebraic decompositions for boolean combinationsProceedings of the 38th International Symposium on Symbolic and Algebraic Computation10.1145/2465506.2465516(125-132)Online publication date: 26-Jun-2013
  • (2013)Understanding branch cuts of expressionsProceedings of the 2013 international conference on Intelligent Computer Mathematics10.1007/978-3-642-39320-4_9(136-151)Online publication date: 8-Jul-2013
  • (2012)Computing the real solutions of polynomial systems with the RegularChains library in MapleACM Communications in Computer Algebra10.1145/2110170.211017445:3/4(166-168)Online publication date: 23-Jan-2012
  • (2011)Computing with semi-algebraic sets represented by triangular decompositionProceedings of the 36th international symposium on Symbolic and algebraic computation10.1145/1993886.1993903(75-82)Online publication date: 8-Jun-2011

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