Oops

1 files changed, 10 insertions, 10 deletions

diff --git a/anm/n5.lyx b/anm/n5.lyx
index 9c307a8..046b6a5 100644
--- a/anm/n5.lyx
+++ b/anm/n5.lyx
@@ -319,7 +319,7 @@ Sean
 \end_inset
 
  y 
-\begin_inset Formula $x_{k+1}:=f(x_{k})$
+\begin_inset Formula $x_{k+1}\coloneqq f(x_{k})$
 \end_inset
 
  converge.
@@ -343,7 +343,7 @@ begin{samepage}
 
 \begin_layout Standard
 Sean 
-\begin_inset Formula $R:=[a_{1},b_{1}]\times\dots\times[a_{n},b_{n}]$
+\begin_inset Formula $R\coloneqq [a_{1},b_{1}]\times\dots\times[a_{n},b_{n}]$
 \end_inset
 
 , 
@@ -399,7 +399,7 @@ La
 aceleración de Gauss-Seidel
 \series default
  de una iteración de punto fijo consiste en considerar, en vez de 
-\begin_inset Formula $x_{k+1}:=g(x_{k})$
+\begin_inset Formula $x_{k+1}\coloneqq g(x_{k})$
 \end_inset
 
 ,
@@ -483,11 +483,11 @@ teorema
 \end_inset
 
 , la sucesión dada por 
-\begin_inset Formula $x_{0}:=x$
+\begin_inset Formula $x_{0}\coloneqq x$
 \end_inset
 
  y 
-\begin_inset Formula $x_{k+1}:=x_{k}-df(x_{k})^{-1}f(x_{k})$
+\begin_inset Formula $x_{k+1}\coloneqq x_{k}-df(x_{k})^{-1}f(x_{k})$
 \end_inset
 
  converge a 
@@ -523,7 +523,7 @@ Demostración
 :
 \series default
  Queremos ver que 
-\begin_inset Formula $g(x):=x-df(x)^{-1}f(x)$
+\begin_inset Formula $g(x)\coloneqq x-df(x)^{-1}f(x)$
 \end_inset
 
  es contractiva cerca de 
@@ -660,7 +660,7 @@ Para
 \end_inset
 
  dada por 
-\begin_inset Formula $\varphi(t):=f(y+t(x-y))$
+\begin_inset Formula $\varphi(t)\coloneqq f(y+t(x-y))$
 \end_inset
 
 , por la regla de la cadena, 
@@ -703,7 +703,7 @@ Cuando esto se cumple,
 \end_inset
 
 y tomando 
-\begin_inset Formula $M:=\frac{K}{2}\sup_{x\in B(\xi,r)}\Vert df(x)^{-1}\Vert$
+\begin_inset Formula $M\coloneqq \frac{K}{2}\sup_{x\in B(\xi,r)}\Vert df(x)^{-1}\Vert$
 \end_inset
 
  se obtiene la acotación.
@@ -759,7 +759,7 @@ A_{k}:=A_{k-1}+\frac{1}{\Vert x_{k}-x_{k-1}\Vert_{2}^{2}}f(x_{k})(x_{k}-x_{k-1})
 \end_inset
 
 tomando 
-\begin_inset Formula $A_{0}:=df(x_{0})$
+\begin_inset Formula $A_{0}\coloneqq df(x_{0})$
 \end_inset
 
 .
@@ -1137,7 +1137,7 @@ noprefix "false"
 \end_inset
 
 , y consiste en minimizar la función 
-\begin_inset Formula $g(x):=\Vert f(x)\Vert_{2}^{2}$
+\begin_inset Formula $g(x)\coloneqq \Vert f(x)\Vert_{2}^{2}$
 \end_inset
 
  desplazándonos, en cada iteración, en la dirección de mayor descenso en