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Application of genetic algorithms to the algebraic simplification of tensor polynomials

Published: 01 July 1997 Publication History
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References

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BUTLER, G., AND LAM, C. W. H. A general backtrack algorithm for the isomorphism problem of combinatorial objects. Journal o/ Symbolic Computation 1 (1985), 363 -381.
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FULLING, S. A., KING, R. C., WYBOURNE, B. G., AND CUMMINS) C. J. Normal forms for tensor polynomials: I. the riemann tensor. Classical Quantum Gravity, 9 (1992), 1151,1197.
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GOLDBERG, D. E. Genetic Algorithms in Search, Optimization ~ Machine Learning. Addison-Wesley, 1989.
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HAMERMESH, M. Group Theory and its Application to Physical Problems. Addison-Wesley, 1962.
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HOFFMAN, C. M. Group-Theoretic Algorithms and Graph Isomorphism, col. 136. Springer Lec. Notes Comp. Sci., 1982.
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KAVIAN, M., MCLENAGHAN, R. G., AND GEDDES, K. O. Mapletensor: Progress report on a new system for performing indicial and component tensor calculations using symbolic computation. In Proceedings of the ISSAC 96 (1996), Y. N. Lakshman, Ed., pp. 204, 211.
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MICHALEWICZ, Z. Genetic Algorithms + Data Structures - Evolution Programs. Springer-Verlag, 1992.
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RICH, S., AND KNIGHT, K. Artificial Intelligence. McGraw-Hill, Inc, 1991.
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R, INKE, B., AND WUENSCH, V. Zum huygensschen prinzip bei der skalaren wellengleichungen, zur Analysis, 18 (1981), 43,75.
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Cited By

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  • (2017)Riemann Tensor Polynomial Canonicalization by Graph Algebra ExtensionProceedings of the 2017 ACM International Symposium on Symbolic and Algebraic Computation10.1145/3087604.3087625(269-276)Online publication date: 23-Jul-2017
  • (2011)ForewordJournal of Symbolic Computation10.1016/j.jsc.2010.08.00946:7(735-740)Online publication date: 1-Jul-2011
  • (2009)Adaptive life-cycle and viability based paramecium-imitated evolutionary algorithmWSEAS Transactions on Computers10.5555/1639457.16394718:8(1358-1367)Online publication date: 1-Aug-2009

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cover image ACM Conferences
ISSAC '97: Proceedings of the 1997 international symposium on Symbolic and algebraic computation
July 1997
414 pages
ISBN:0897918754
DOI:10.1145/258726
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 01 July 1997

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View all
  • (2017)Riemann Tensor Polynomial Canonicalization by Graph Algebra ExtensionProceedings of the 2017 ACM International Symposium on Symbolic and Algebraic Computation10.1145/3087604.3087625(269-276)Online publication date: 23-Jul-2017
  • (2011)ForewordJournal of Symbolic Computation10.1016/j.jsc.2010.08.00946:7(735-740)Online publication date: 1-Jul-2011
  • (2009)Adaptive life-cycle and viability based paramecium-imitated evolutionary algorithmWSEAS Transactions on Computers10.5555/1639457.16394718:8(1358-1367)Online publication date: 1-Aug-2009

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