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zxzl2qiWm|-hD^3QL;ZDdhb7emk&qEjSa#Md@$feowL7?<=;$#?cW1Ku@S)3M)@2dv zgtZy7NNcpu5Zj%h&CBX8TRjrA>y|ZD?0;FGuO`j^3(M6t+mq1)6SuY_1NsvvGBh_d zHY+ePConK4DGD!5Z)8MabY&nYL^?7sGBq$YGBh$WG&eLhx7arWDF;z8K{-M;L^47| zFflkXGD9^vIWspiMlmo!G&wLbHbpc(AUrWaIYKr>GD1W!F*q_ZLp3=$GdD9vF)%?i zIWRIdMKnHL3NK7$ZfA68AU8QPlMwBwORwl$_E#wLx4xW7Lq zpRBdcKKtx*@9$nSD__aXVh?-+d)=(UQk9$A^;ZdduGZcBj;hQpn^#pZv$ZRUe+sCC zniaP~v#u7UwwCr!wZ*BePi@hCwRvhAQ(Jsq?W)uoXUR)oV`kp;CDm#uh5gKGsmfpt zOf&m}svOqB46}7q6;KI_%xb8rpqf{$U`Cbe0(V3$GcD1kJT2;(X%`)+j@bY+ZC?-T znGG@12^yf0*-mCUS`#!g+r><$e{X?SXmcxR(Ff7)w&|9tPPcqeRR?U~HirV_Zq;S! z>lyq-OM0NoZTg(rZrB99Y4)3DeXs@k-DW;NV>4`pLD&XE@D&Wh*RUOSzzFPwT|j8^ zfwbSh+HW_Iru{|<0kEk@*R?vvs=dB%FeISb*<9$2iSaI>wUQ zl?%G#N6_|XxT=FYWKaOT8;6YC3sqONgzQF%+wDoU#5;(0XcwXqO6MB4yPaA>q=NiK z6)(;2BNVtAw|k>nqU@5`e;}fvh;{_sS7fe}~=shg2PLpS-DR z*8SpLRdepwCR81De|A~bG50^-sXFfds#Vnq&pNKDI_cTI&pV&;?A9e!^PWAup=!ai z{~wrVAKoNB{%2mu`Vz$}iPeu1Cbs=$d@iL>26dqS zruEPOjnD+m&;qT{9R}^t0s1fLgf8fY9_WQWFATp=kKA+KJ^}XRxM-J=LIWQPH8?p6 JB_%~qMhcIWnJoYS diff --git a/TFG_Sixto_José_Martínez_Gan.tex b/TFG_Sixto_José_Martínez_Gan.tex index d852b04..055b714 100644 --- a/TFG_Sixto_José_Martínez_Gan.tex +++ b/TFG_Sixto_José_Martínez_Gan.tex @@ -523,14 +523,14 @@ urlcolor=black]{hyperref} & +$2x^3\euno$ & +$2x^2y\edos$ & $-6x^2y\etres\phantom{)}$ & +$x^2\euno$ & & & & \\ & $-(2x^3\euno$ & & & & $+4xy\etres)$ & & & \\ \cmidrule{2-6} & \tiny 1\textsuperscript{a} iteración: & \sout{$2x^2y\edos$} & \sout{$-6x^2y\etres\phantom{)}$} & +$x^2\euno$ & $-4xy\etres\phantom{)}$ & & & \\ - & & \tiny $\uparrow$ 2\textsuperscript{a} iteración & \tiny $\uparrow$ 3\textsuperscript{a} iteración & $-(x^2\euno$ & & $+2y\etres)$ & & \\ \cmidrule{5-7} - & & & & \tiny 4\textsuperscript{a} iteración: & \sout{$-4xy\etres\phantom{)}$} & \sout{$-2y\etres$} & & \\ - & & & & & \tiny $\uparrow$ 5\textsuperscript{a} iteración & \tiny $\uparrow$ 6\textsuperscript{a} iteración & & \\ + & & \tiny $\uparrow$ 1\textsuperscript{a} iteración & \tiny $\uparrow$ 2\textsuperscript{a} iteración & $-(x^2\euno$ & & $+2y\etres)$ & & \\ \cmidrule{5-7} + & & & & \tiny 3\textsuperscript{a} iteración: & \sout{$-4xy\etres\phantom{)}$} & \sout{$-2y\etres$} & & \\ + & & & & & \tiny $\uparrow$ 3\textsuperscript{a} iteración & \tiny $\uparrow$ 4\textsuperscript{a} iteración & & \\ \end{block} \end{blockarray} \end{center} - La primera iteración ejecuta el bucle interno dos veces dejando $D = 2x^2y\edos - 6x^2y\etres + x^2\euno - 4xy\etres$. Después, la segunda iteración se encuentra con un términos líder que no es divisible por $\LT{g} = x^2\euno$: $2x^2y\edos$; así que lo elimina del dividendo, que pasa a ser $D = - 6x^2y\etres + x^2\euno - 4xy\etres$ y lo añade al resto, que pasa a ser $r = 2x^2y\edos$. En la tercera iteración ocurre lo mismo, así que procedemos de igual manera eliminando el término líder no divisible por \LT{g} y añadiéndolo al resto. En la cuarta iteración, $\LT{D} = x^2\euno$ sí es divisible por \LT{g}, por lo que procedemos como en la primera iteración. Por último, en las dos últimas iteraciones, retiramos términos de nuevo del dividendo. + La primera iteración ejecuta el bucle interno dos veces dejando $D = 2x^2y\edos - 6x^2y\etres + x^2\euno - 4xy\etres$; después, se encuentra con el término líder $2x^2y\edos$, que no es divisible por $\LT{g} = x^2\euno$, así que lo elimina del dividendo, que pasa a ser $D = - 6x^2y\etres + x^2\euno - 4xy\etres$ y lo añade al resto, que pasa a ser $r = 2x^2y\edos$. En la segunda iteración el término líder sigue sin ser divisible por \LT{g}; así que lo eliminamos del dividendo y lo añadimos al resto. En la tercera iteración, $\LT{D} = x^2\euno$ sí es divisible por \LT{g}, por lo que procedemos como en la primera iteración primero reduciendo y después pasando el término líder que queda al resto. En la última iteración, volvemos a retirar el término líder y ya nos encontramos en la situación de salida del algoritmo. El resultado puede leerse como \begin{equation*}