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66.
[tab] case <lit>Y</lit>: Bessel function of the second kind. Defined
[tab] for real <argname>v</argname> and <argname>x</argname> but has
[tab] a singularity at <argname>x</argname> = 0.
[tab]
type: Content of: <funcref><funclist><function><description><para>
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Translated and reviewed by Henrique Andrade
Located in genr_funcs.xml:704
67.
[tab] case <lit>I</lit>: Modified Bessel function of the first kind.
[tab] An exponentially growing function. Acceptable arguments are
[tab] as for case <lit>J</lit>.
[tab]
type: Content of: <funcref><funclist><function><description><para>
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(no translation yet)
Translated and reviewed by Henrique Andrade
Located in genr_funcs.xml:709
68.
[tab] case <lit>K</lit>: Modified Bessel function of the second kind. An
[tab] exponentially decaying function. Diverges at <argname>x</argname> =
[tab] 0 and is not defined for negative <argname>x</argname>. Symmetric
[tab] around <argname>v</argname> = 0.
[tab]
type: Content of: <funcref><funclist><function><description><para>
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Translated and reviewed by Henrique Andrade
Located in genr_funcs.xml:714
69.
[tab] Numerical maximization via the method of Broyden, Fletcher, Goldfarb
[tab] and Shanno. The vector <argname>b</argname> should hold the initial
[tab] values of a set of parameters, and the string <argname>s</argname>
[tab] should specify a call to a function that calculates the (scalar)
[tab] criterion to be maximized, given the current parameter values and
[tab] any other relevant data. If the object is in fact minimization, this
[tab] function should return the negative of the criterion. On successful
[tab] completion, <lit>BFGSmax</lit> returns the maximized value of the
[tab] criterion, and <argname>b</argname> holds the parameter values which
[tab] produce the maximum.
[tab]
type: Content of: <funcref><funclist><function><description><para>
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(no translation yet)
Translated and reviewed by Henrique Andrade
Located in genr_funcs.xml:729
70.
[tab] For more details and examples see the chapter
[tab] on special functions in <lit>genr</lit> in
[tab] <guideref targ="sec:genr-numerical"/>.
[tab]
type: Content of: <funcref><funclist><function><description><para>
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[tab] Para maiores detalhes e exemplos ver o capítulo
[tab] sobre funções especiais em <lit>genr</lit> no
[tab] <guideref targ="sec:genr-numerical"/>.
[tab]
Translated and reviewed by Henrique Andrade
Located in genr_funcs.xml:741
71.
[tab] Extracts the cyclical component of series <argname>y</argname>
[tab] via the Baxter&ndash;King bandpass filter, a two-sided symmetric
[tab] filter. See <guideref targ="chap-genr"/> for details.
[tab]
type: Content of: <funcref><funclist><function><description><para>
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[tab] Extrai o componente cíclico da série <argname>y</argname> via
[tab] filtro de passagem de banda de Baxter&ndash;King, um filtro
[tab] simétrico bilateral. Veja <guideref targ="chap-genr"/> para detalhes.
[tab]
Translated and reviewed by Henrique Andrade
Located in genr_funcs.xml:757
72.
[tab] Returns the Box&ndash;Cox transformation with parameter
[tab] <argname>d</argname> for the positive series <argname>y</argname>.
[tab]
type: Content of: <funcref><funclist><function><description><para>
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[tab] Retorna a transformação de Box&ndash;Cox com parâmetro
[tab] <argname>d</argname> para as séries positivas <argname>y</argname>.
[tab]
Translated and reviewed by Henrique Andrade
Located in genr_funcs.xml:774
73.
[tab] \[ y_t^{(d)} = \left\{ \begin{array}{ll} \frac{y_t^d - 1}{d} &amp;
[tab] {\rm if}\quad d\neq 0 \\ \log (y_t) &amp; {\rm if}\quad d=0
[tab] \end{array} \right. \]
[tab]
type: Content of: <funcref><funclist><function><description><para>
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[tab] \[ y_t^{(d)} = \left\{ \begin{array}{ll} \frac{y_t^d - 1}{d} &amp;
[tab] {\rm if}\quad d\neq 0 \\ \log (y_t) &amp; {\rm if}\quad d=0
[tab] \end{array} \right. \]
[tab]
Translated and reviewed by Henrique Andrade
Located in genr_funcs.xml:778
74.
[tab] The transformed series is
[tab] (<math>y</math><sup>d</sup> - 1)/<math>d</math> for
[tab] <math>d</math> not equal to zero, or log(<math>y</math>) for
[tab] <math>d</math> = 0.
[tab]
type: Content of: <funcref><funclist><function><description><para>
[tab] represents a tab character. Please write it exactly the same way, [tab], in your translation.
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[tab] A série transformada é
[tab] (<math>y</math><sup>d</sup> - 1)/<math>d</math> para
[tab] <math>d</math> diferente de zero, ou log(<math>y</math>) para
[tab] <math>d</math> = 0.
[tab]
Translated and reviewed by Henrique Andrade
Located in genr_funcs.xml:783
75.
[tab] Centers the columns of matrix <argname>X</argname> around their
[tab] means.
[tab]
type: Content of: <funcref><funclist><function><description><para>
[tab] represents a tab character. Please write it exactly the same way, [tab], in your translation.
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[tab] Centra as colunas da matriz <argname>X</argname> ao redor de suas
[tab] médias.
[tab]
Translated and reviewed by Henrique Andrade
Located in genr_funcs.xml:797
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Contributors to this translation: Henrique Andrade.