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1: 34.2 Definition: Symbol
§34.2 Definition: Symbol
►The quantities in the symbol are called angular momenta. …They therefore satisfy the triangle conditions …where is any permutation of . The corresponding projective quantum numbers are given by …2: 11 Struve and Related Functions
Chapter 11 Struve and Related Functions
…3: 10 Bessel Functions
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4: Staff
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Richard B. Paris, University of Abertay, Chaps. 8, 11
Hans Volkmer, University of Wisconsin, Milwaukee, Chaps. 29, 30
Amparo Gil, Universidad de Cantabria, for Chap. 3
Richard B. Paris, University of Abertay Dundee, for Chaps. 8, 11 (deceased)
Hans Volkmer, University of Wisconsin–Milwaukee, for Chaps. 29, 30
5: Publications
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B. V. Saunders and Q. Wang (1999)
Using Numerical Grid Generation to Facilitate 3D Visualization of
Complicated Mathematical Functions,
Technical Report NISTIR 6413 (November 1999), National Institute of Standards and Technology.
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D. W. Lozier (2003)
The NIST Digital Library of Mathematical Functions Project,
Annals of Mathematics and Artificial Intelligence—Special Issue on Mathematical Knowledge Management,
Vol. 38, Nos. 1–3, pp. 105–119.
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B. V. Saunders and Q. Wang (2005)
Boundary/Contour Fitted Grid Generation for Effective Visualizations
in a Digital Library of Mathematical Functions,
Proceedings of the 9th International Conference on Numerical Grid Generation
in Computational Field Simulations,
San Jose, June 11–18, 2005. pp. 61–71.
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Q. Wang and B. V. Saunders (2005)
Web-Based 3D Visualization in a Digital Library of Mathematical Functions,
Proceedings of the Web3D Symposium,
Bangor, UK, March 29–April 1, 2005.
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B. V. Saunders and Q. Wang (2006)
From B-Spline Mesh Generation to Effective Visualizations for the
NIST Digital Library of Mathematical Functions,
in Curve and Surface Design, Proceedings of the Sixth International
Conference on Curves and Surfaces,
Avignon, France June 29–July 5, 2006,
pp. 235–243.
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6: 34.6 Definition: Symbol
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►The symbol may be defined either in terms of symbols or equivalently in terms of symbols:
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34.6.1
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34.6.2
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7: 26.2 Basic Definitions
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►Thus is the permutation , , .
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►If, for example, a permutation of the integers 1 through 6 is denoted by , then the cycles are , , and .
…The function also interchanges 3 and 6, and sends 4 to itself.
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►As an example, , , is a partition of .
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8: 4.17 Special Values and Limits
9: 26.9 Integer Partitions: Restricted Number and Part Size
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Table 26.9.1: Partitions .
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6 | 0 | 1 | 4 | 7 | 9 | 10 | 11 | 11 | 11 | 11 | 11 |
7 | 0 | 1 | 4 | 8 | 11 | 13 | 14 | 15 | 15 | 15 | 15 |
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