change of amplitude
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5 matching pages ♦
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5 matching pages
1: 19.7 Connection Formulas
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§19.7(ii) Change of Modulus and Amplitude
…2: 29.2 Differential Equations
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29.2.5
$$\varphi =\frac{1}{2}\pi \mathrm{am}(z,k).$$
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3: 29.1 Special Notation
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►where $\psi =\mathrm{am}(z,k)$; see §22.16(i).
The relation to the Lamé functions ${\mathrm{Ec}}_{\nu}^{m}$, ${\mathrm{Es}}_{\nu}^{m}$ of Ince (1940b) is given by
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4: 29.6 Fourier Series
5: Errata
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►The following corrections and other changes have been made in the DLMF, and are pending for the Handbook of Mathematical Functions.
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Other Changes
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Other Changes
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Equation (22.19.3)
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►Several minor improvements were made affecting display and layout; primarily tracking changes to the underlying LaTeXML system.
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In applying changes in Version 1.0.12 to (13.9.16), an editing error was made; it has been corrected.
22.19.3
$$\theta (t)=2\mathrm{am}(t\sqrt{E/2},\sqrt{2/E})$$
Originally the first argument to the function $\mathrm{am}$ was given incorrectly as $t$. The correct argument is $t\sqrt{E/2}$.
Reported 20140305 by Svante Janson.