advantages of symmetry

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21: 3.2 Linear Algebra

… ►We solve the system $𝐀𝛿𝐱=𝐫$ for $𝛿𝐱$, taking advantage of the existing triangular decomposition of $𝐀$ to obtain an improved solution $𝐱+𝛿𝐱$. …

22: 4.2 Definitions

… ►As a consequence, it has the advantage of extending regions of validity of properties of principal values. …

23: 18.38 Mathematical Applications

… ►Light and Carrington Jr. (2000) review and extend the one-dimensional analysis to solution of multi-dimensional many-particle systems, where the sparse nature of the resulting matrices is highly advantageous. …

24: 2.4 Contour Integrals

… ►Additionally, it may be advantageous to arrange that $\mathrm{\Im }\left(zp(t)\right)$ is constant on the path: this will usually lead to greater regions of validity and sharper error bounds. …

25: 4.13 Lambert $W$-Function

… ►and has several advantages over the Lambert $W$-function (see Lawrence et al. (2012)), and the tree $T$-function $T\left(z\right)=-W\left(-z\right)$, which is a solution of …

26: 20.9 Relations to Other Functions

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27: 36.11 Leading-Order Asymptotics

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Asymptotics along Symmetry Lines

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28: 18.3 Definitions

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29: Bibliography O

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Spectral decomposition of tent maps using symmetry considerations. J. Statist. Phys. 84 (1-2), pp. 269–276.

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External Links:

ISSN 0022-4715, Document, MathReview (Makoto Mori), ZentralBlatt

Referenced by:

§24.18.

Encodings:

BibTeX

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30: Bibliography T

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Angular Momentum: An Illustrated Guide to Rotational Symmetries for Physical Systems. A Wiley-Interscience Publication, John Wiley & Sons Inc., New York.

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Notes:

With 1 Macintosh floppy disk (3.5 inch; DD). Programs for the calculation of $3j,6j,9j$ symbols are included.

External Links:

ISBN 0-471-55264-X, MathReview (J. F. Cornwell), ZentralBlatt

Referenced by:

§34.3(vii).

Encodings:

BibTeX

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