Ignore:
Timestamp:
Dec 2, 2009, 5:23:25 PM (17 years ago)
Author:
Víctor de Buen <vdebuen@…>
Branches:
1941-docker-image-to-test, devel, master
Children:
a804212
Parents:
f79532b
Message:

Ligeras correcciones

git-svn-id: ​https://www.tol-project.org/svn/tolp/trunk@1756 be4846ae-f051-483a-831f-b64e7d08527f

File:
1 edited

Legend:

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  • tol_pkg/MulVarFunAprox/doc/MulVarFunAprox.lyx

    rf79532b r4c3eee6  
    7171
    7272\begin_layout Title
    73 Aproximación de funciones multivariantes mediante regresión lineal jerárquica
     73Aproximación de funciones multivariantes mediante regresión lineal bayesiana
    7474\end_layout
    7575
    … …  
    8484\begin_layout Abstract
    8585El enfoque usual de aproximación de funciones como un problema de mero cálculo
    86  numérico es reemplazado en este artículo por una visión estadística del
    87  problema que permite una formulación más robusta y un mecanismo más eficiente.
     86 numérico es reemplazado en este artículo por una visión estadística bayesiana
     87 del problema que permite una formulación más robusta y un mecanismo más
     88 eficiente.
    8889 
    8990\end_layout
    … …  
    619620Se podría incuso forzar el mismo tipo de restricciones para las segundas
    620621 derivadas parciales añadiendo las
    621 \begin_inset Formula $n\left(n-1\right)T$
     622\begin_inset Formula $\frac{1}{2}n\left(n+1\right)T$
    622623\end_inset
    623624
    … …  
    937938
    938939\begin_layout Plain Layout
    939 \begin_inset Formula $n$
    940 \end_inset
    941 
    942 
    943 \end_layout
    944 
    945 \end_inset
    946 </cell>
    947 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
    948 \begin_inset Text
    949 
    950 \begin_layout Plain Layout
    951 \begin_inset Formula $r$
     940\begin_inset Formula $n\geq1$
     941\end_inset
     942
     943
     944\end_layout
     945
     946\end_inset
     947</cell>
     948<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
     949\begin_inset Text
     950
     951\begin_layout Plain Layout
     952\begin_inset Formula $r\geq0$
    952953\end_inset
    953954
    … …  
    973974
    974975\begin_layout Plain Layout
    975 \begin_inset Formula $K$
     976\begin_inset Formula $K=\overset{r}{\underset{d=0}{\sum}}\left(\begin{array}{c}
     977n+d-1\\
     978d\end{array}\right)$
    976979\end_inset
    977980
    … …  
    12321235</row>
    12331236<row>
    1234 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
     1237<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
    12351238\begin_inset Text
    12361239
    … …  
    12411244\end_inset
    12421245</cell>
    1243 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
     1246<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
    12441247\begin_inset Text
    12451248
    … …  
    12501253\end_inset
    12511254</cell>
    1252 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
     1255<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
    12531256\begin_inset Text
    12541257
    … …  
    12621265\end_inset
    12631266</cell>
    1264 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
     1267<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
    12651268\begin_inset Text
    12661269
    … …  
    23832386
    23842387\begin_layout Plain Layout
    2385 \begin_inset Formula $J+\left(1+K\right)\cdot T\approx n\cdot\left(1+n\right)\cdot T_{0}\cdot H$
     2388\begin_inset Formula $J+\left(1+n\right)\cdot T\approx n\cdot\left(1+n\right)\cdot T_{0}\cdot H$
    23862389\end_inset
    23872390
    … …  
    24272430
    24282431\begin_layout Plain Layout
    2429 \begin_inset Formula $J+\left(1+K+K^{2}\right)\cdot T\approx n\cdot\left(1+n+n\left(n-1\right)\right)\cdot T_{0}\cdot H$
    2430 \end_inset
    2431 
    2432 
    2433 \end_layout
    2434 
    2435 \end_inset
    2436 </cell>
    2437 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
    2438 \begin_inset Text
    2439 
    2440 \begin_layout Plain Layout
    2441 \begin_inset Formula $\frac{J+\left(1+n+n^{2}\right)\cdot T}{H\cdot K}\approx\frac{J}{H\cdot K}+\frac{n\left(1+n^{2}\right)T_{0}}{K}$
     2432\begin_inset Formula $J+\left(1+n+\frac{1}{2}n\left(n+1\right)\right)\cdot T\approx n\cdot\left(1+\frac{3}{2}n+\frac{1}{2}n^{2}\right)\cdot T_{0}\cdot H$
     2433\end_inset
     2434
     2435
     2436\end_layout
     2437
     2438\end_inset
     2439</cell>
     2440<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
     2441\begin_inset Text
     2442
     2443\begin_layout Plain Layout
     2444\begin_inset Formula $\frac{J+\left(1+\frac{3}{2}n+\frac{1}{2}\right)\cdot T}{H\cdot K}\approx\frac{J}{H\cdot K}+\frac{n\left(1+\frac{3}{2}n+\frac{1}{2}\right)T_{0}}{K}$
    24422445\end_inset
    24432446
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