Oops

1 files changed, 25 insertions, 25 deletions

diff --git a/fvc/n4.lyx b/fvc/n4.lyx
index cfd60f7..8feaa83 100644
--- a/fvc/n4.lyx
+++ b/fvc/n4.lyx
@@ -108,7 +108,7 @@ Toda curva
 Demostración:
 \series default
  Sean 
-\begin_inset Formula $\rho:=\min_{t\in[a,b]}|\gamma(t)|>0$
+\begin_inset Formula $\rho\coloneqq \min_{t\in[a,b]}|\gamma(t)|>0$
 \end_inset
 
 , 
@@ -140,7 +140,7 @@ Demostración:
 \end_inset
 
  y 
-\begin_inset Formula $D_{k}:=D(\gamma(t_{k}),\rho)$
+\begin_inset Formula $D_{k}\coloneqq D(\gamma(t_{k}),\rho)$
 \end_inset
 
 .
@@ -180,11 +180,11 @@ Demostración:
 
 .
  Sean ahora 
-\begin_inset Formula $\theta_{k}(t):=A_{k}(\gamma(t))\in\text{Arg}(\gamma(t))$
+\begin_inset Formula $\theta_{k}(t)\coloneqq A_{k}(\gamma(t))\in\text{Arg}(\gamma(t))$
 \end_inset
 
  y 
-\begin_inset Formula $m_{k}:=\theta_{k}(t_{k})-\theta_{k+1}(t_{k})$
+\begin_inset Formula $m_{k}\coloneqq \theta_{k}(t_{k})-\theta_{k+1}(t_{k})$
 \end_inset
 
 , y definimos 
@@ -192,7 +192,7 @@ Demostración:
 \end_inset
 
  como 
-\begin_inset Formula $\theta(t):=\theta_{k}(t)+\sum_{i=0}^{k-1}m_{k}$
+\begin_inset Formula $\theta(t)\coloneqq \theta_{k}(t)+\sum_{i=0}^{k-1}m_{k}$
 \end_inset
 
  para 
@@ -334,7 +334,7 @@ Sean
 \end_inset
 
 , 
-\begin_inset Formula $\rho:=\min_{t\in[a,b]}|\gamma(t)-z_{0}|>0$
+\begin_inset Formula $\rho\coloneqq \min_{t\in[a,b]}|\gamma(t)-z_{0}|>0$
 \end_inset
 
  y 
@@ -371,7 +371,7 @@ Sean
 \end_inset
 
 , tenemos que 
-\begin_inset Formula $\theta(t):=\theta_{0}(t)+\arg\frac{\gamma(t)-z}{\gamma(t)-z_{0}}$
+\begin_inset Formula $\theta(t)\coloneqq \theta_{0}(t)+\arg\frac{\gamma(t)-z}{\gamma(t)-z_{0}}$
 \end_inset
 
  es un argumento continuo de 
@@ -499,7 +499,7 @@ Demostración:
 \end_inset
 
 , entonces 
-\begin_inset Formula $\varphi(t):=\log|\gamma(t)-z|+i\theta(t)$
+\begin_inset Formula $\varphi(t)\coloneqq \log|\gamma(t)-z|+i\theta(t)$
 \end_inset
 
  es un logaritmo continuo de 
@@ -525,7 +525,7 @@ Demostración:
 
  es derivable.
  Entonces 
-\begin_inset Formula $\varphi_{k}:=\varphi|_{[t_{k-1},t_{k}]}$
+\begin_inset Formula $\varphi_{k}\coloneqq \varphi|_{[t_{k-1},t_{k}]}$
 \end_inset
 
  también lo es y 
@@ -560,7 +560,7 @@ Una
 cadena
 \series default
  es una expresión de la forma 
-\begin_inset Formula $\Gamma:=m_{1}\gamma_{1}+\dots+m_{q}\gamma_{q}$
+\begin_inset Formula $\Gamma\coloneqq m_{1}\gamma_{1}+\dots+m_{q}\gamma_{q}$
 \end_inset
 
  donde los 
@@ -581,7 +581,7 @@ soporte
 \end_inset
 
  a 
-\begin_inset Formula $\Gamma^{*}:=\bigcup_{k}\gamma_{k}^{*}$
+\begin_inset Formula $\Gamma^{*}\coloneqq \bigcup_{k}\gamma_{k}^{*}$
 \end_inset
 
  y 
@@ -593,16 +593,16 @@ longitud
 \end_inset
 
  a 
-\begin_inset Formula $\ell(\Gamma):=\sum_{k}|m_{k}|\ell(\gamma_{k})$
+\begin_inset Formula $\ell(\Gamma)\coloneqq \sum_{k}|m_{k}|\ell(\gamma_{k})$
 \end_inset
 
 .
  Si 
-\begin_inset Formula $\Sigma:=n_{1}\sigma_{1}+\dots+n_{p}\sigma_{p}$
+\begin_inset Formula $\Sigma\coloneqq n_{1}\sigma_{1}+\dots+n_{p}\sigma_{p}$
 \end_inset
 
  es otra cadena, llamamos 
-\begin_inset Formula $\Gamma+\Sigma:=m_{1}\gamma_{1}+\dots+m_{q}\gamma_{q}+k_{1}\sigma_{1}+\dots+k_{p}\sigma_{p}$
+\begin_inset Formula $\Gamma+\Sigma\coloneqq m_{1}\gamma_{1}+\dots+m_{q}\gamma_{q}+k_{1}\sigma_{1}+\dots+k_{p}\sigma_{p}$
 \end_inset
 
 .
@@ -647,7 +647,7 @@ ciclo
 \end_inset
 
  a 
-\begin_inset Formula $\text{Ind}_{\Gamma}(z):=\sum_{k}m_{k}\text{Ind}_{\gamma_{k}}(z)$
+\begin_inset Formula $\text{Ind}_{\Gamma}(z)\coloneqq \sum_{k}m_{k}\text{Ind}_{\gamma_{k}}(z)$
 \end_inset
 
 .
@@ -806,7 +806,7 @@ es continua en
 \end_inset
 
 Como 
-\begin_inset Formula $K:=\{\{z_{n}\}_{n}\cup\{a\}\}\times\Gamma^{*}$
+\begin_inset Formula $K\coloneqq \{\{z_{n}\}_{n}\cup\{a\}\}\times\Gamma^{*}$
 \end_inset
 
  es compacto por ser producto de compactos, 
@@ -889,7 +889,7 @@ Si además, para
 \end_inset
 
  dada por 
-\begin_inset Formula $F_{w}(z):=F(z,w)$
+\begin_inset Formula $F_{w}(z)\coloneqq F(z,w)$
 \end_inset
 
  es holomorfa en 
@@ -1059,7 +1059,7 @@ Ahora bien, fijado
 \end_inset
 
 , sea 
-\begin_inset Formula $F_{w}(z):=F(w,z)$
+\begin_inset Formula $F_{w}(z)\coloneqq F(w,z)$
 \end_inset
 
 , es claro que 
@@ -1083,7 +1083,7 @@ Ahora bien, fijado
 
 \begin_layout Standard
 Sea 
-\begin_inset Formula $\Omega_{0}:=\{z\in\mathbb{C}\setminus\Gamma^{*}\mid \text{Ind}_{\Gamma}(z)=0\}$
+\begin_inset Formula $\Omega_{0}\coloneqq \{z\in\mathbb{C}\setminus\Gamma^{*}\mid \text{Ind}_{\Gamma}(z)=0\}$
 \end_inset
 
 , que es abierto por ser unión de componentes conexas de 
@@ -1123,7 +1123,7 @@ status open
 \end_inset
 
  dada por 
-\begin_inset Formula $F_{0}(z,w):=\frac{f(w)}{w-z}$
+\begin_inset Formula $F_{0}(z,w)\coloneqq \frac{f(w)}{w-z}$
 \end_inset
 
 .
@@ -1302,7 +1302,7 @@ forma general del teorema de Cauchy
 \end_inset
 
 , aplicando la fórmula integral de Cauchy a 
-\begin_inset Formula $g(z):=(z-a)f(z)$
+\begin_inset Formula $g(z)\coloneqq (z-a)f(z)$
 \end_inset
 
 , como 
@@ -1886,7 +1886,7 @@ status open
 
 .
  Sea 
-\begin_inset Formula $K:=\mathbb{C}\setminus\Omega_{0}=\Gamma^{*}\cup\{z\in\mathbb{C}\setminus\Gamma^{*}\mid \text{Ind}_{\Gamma}(z)\neq0\}$
+\begin_inset Formula $K\coloneqq \mathbb{C}\setminus\Omega_{0}=\Gamma^{*}\cup\{z\in\mathbb{C}\setminus\Gamma^{*}\mid \text{Ind}_{\Gamma}(z)\neq0\}$
 \end_inset
 
 , que es cerrado por ser complementario de un abierto y acotado porque no
@@ -1934,15 +1934,15 @@ Sean
 \end_inset
 
 , 
-\begin_inset Formula $m_{k}:=\text{Ind}_{\Gamma}(a_{k})$
+\begin_inset Formula $m_{k}\coloneqq \text{Ind}_{\Gamma}(a_{k})$
 \end_inset
 
 , 
-\begin_inset Formula $\gamma_{k}:=C(a_{k},\rho)$
+\begin_inset Formula $\gamma_{k}\coloneqq C(a_{k},\rho)$
 \end_inset
 
  y 
-\begin_inset Formula $\Sigma:=\sum_{k=1}^{q}m_{k}\gamma_{k}$
+\begin_inset Formula $\Sigma\coloneqq \sum_{k=1}^{q}m_{k}\gamma_{k}$
 \end_inset
 
 .