normalizing factor
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1: 3.6 Linear Difference Equations
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►It therefore remains to apply a normalizing factor
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►The normalizing factor
can be the true value of divided by its trial value, or can be chosen to satisfy a known property of the wanted solution of the form
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2: 3.7 Ordinary Differential Equations
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►The eigenvalues are simple, that is, there is only one corresponding eigenfunction (apart from a normalization factor), and when ordered increasingly the eigenvalues satisfy
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3: 18.2 General Orthogonal Polynomials
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►The orthogonality relations (18.2.1)–(18.2.3) each determine the polynomials uniquely up to constant factors, which may be fixed by suitable normalization.
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4: 28.5 Second Solutions ,
5: 33.13 Complex Variable and Parameters
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33.13.2
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6: Bibliography C
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Reduction theorems for elliptic integrands with the square root of two quadratic factors.
J. Comput. Appl. Math. 118 (1-2), pp. 71–85.
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Normal elliptic integrals of the first and second kinds.
Duke Math. J. 31 (3), pp. 405–419.
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Demagnetization factors for general ellipsoids.
J. Appl. Phys. 70 (6), pp. 2911–2914.
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Algorithm AS 24: From normal integral to deviate.
Appl. Statist. 18 (3), pp. 290–293.
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7: 19.16 Definitions
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19.16.1
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19.16.2
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19.16.2_5
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19.16.4
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►It should be noted that the integrals (19.16.1)–(19.16.2_5) have been normalized so that .
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8: 28.12 Definitions and Basic Properties
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►In consequence, for the Floquet solutions the factor
in (28.2.14) is no longer .
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28.12.2
►As in §28.7 values of for which (28.2.16) has simple roots are called normal values with respect to .
For real values of and all the are real, and is normal.
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►If is a normal value of the corresponding equation (28.2.16), then these functions are uniquely determined as analytic functions of and by the normalization
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9: 10.22 Integrals
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10.22.72
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10: Bibliography
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Algorithm 39: Areas under the normal curve.
The Computer Journal 12 (2), pp. 197–198.
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On the degrees of irreducible factors of higher order Bernoulli polynomials.
Acta Arith. 62 (4), pp. 329–342.
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Normal forms of functions near degenerate critical points, the Weyl groups and Lagrangian singularities.
Funkcional. Anal. i Priložen. 6 (4), pp. 3–25 (Russian).
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Normal forms of functions in the neighborhood of degenerate critical points.
Uspehi Mat. Nauk 29 (2(176)), pp. 11–49 (Russian).
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Critical points of smooth functions, and their normal forms.
Uspehi Mat. Nauk 30 (5(185)), pp. 3–65 (Russian).
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