sign function
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11—20 of 97 matching pages
11: 28.14 Fourier Series
§28.14 Fourier Series
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28.14.2
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28.14.3
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►Ambiguities in sign are resolved by (28.14.9) when , and by continuity for other values of .
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►For changes of sign of , , and ,
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12: 36.2 Catastrophes and Canonical Integrals
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36.2.19
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13: 1.3 Determinants, Linear Operators, and Spectral Expansions
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►An alternant is a determinant function of variables which changes sign when two of the variables are interchanged.
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14: 28.2 Definitions and Basic Properties
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Change of Sign of
… ►§28.2(vi) Eigenfunctions
… ►the ambiguity of sign being resolved by (28.2.29) when and by continuity for the other values of . … ►For change of sign of (compare (28.2.4)) …15: 33.14 Definitions and Basic Properties
16: 10.23 Sums
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►If and the upper signs are taken, then the restriction on is unnecessary.
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17: Bibliography K
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Branch Cuts for Complex Elementary Functions or Much Ado About Nothing’s Sign Bit.
In The State of the Art in Numerical Analysis (Birmingham, 1986), A. Iserles and M. J. D. Powell (Eds.),
Inst. Math. Appl. Conf. Ser. New Ser., Vol. 9, pp. 165–211.
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18: 7.5 Interrelations
§7.5 Interrelations
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7.5.5
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►and either all upper signs or all lower signs are taken throughout.
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7.5.10
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19: 4.21 Identities
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4.21.1
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