Oops

1 files changed, 9 insertions, 9 deletions

diff --git a/fvv1/n3.lyx b/fvv1/n3.lyx
index 91f5019..b6138cf 100644
--- a/fvv1/n3.lyx
+++ b/fvv1/n3.lyx
@@ -343,12 +343,12 @@ Demostración:
 \end_inset
 
 , y consideramos 
-\begin_inset Formula $\Delta_{t,s}:=f(t,s)-f(t,y_{0})-f(x_{0},s)+f(x_{0},y_{0})$
+\begin_inset Formula $\Delta_{t,s}\coloneqq f(t,s)-f(t,y_{0})-f(x_{0},s)+f(x_{0},y_{0})$
 \end_inset
 
 .
  Si ahora llamamos 
-\begin_inset Formula $F_{\overline{s}}(\overline{t}):=f(\overline{t},\overline{s})-f(\overline{t},y_{0})$
+\begin_inset Formula $F_{\overline{s}}(\overline{t})\coloneqq f(\overline{t},\overline{s})-f(\overline{t},y_{0})$
 \end_inset
 
 , vemos que 
@@ -360,12 +360,12 @@ Demostración:
 \end_inset
 
  y que entonces 
-\begin_inset Formula $\Delta_{t,s}=F_{s}(t)-F_{s}(x_{0})=F'_{\overline{s}}(\xi_{t,s})(t-x_{0})=\left(\frac{\partial f}{\partial x}(\xi_{t,s},s)-\frac{\partial f}{\partial x}(\xi_{t,s},y_{0})\right)(t-x_{0})\overset{\Phi(\overline{s}):=\frac{\partial f}{\partial x}(\xi_{t,s},\overline{s})}{=}(\Phi(s)-\Phi(y_{0}))(t-x_{0})\overset{\Phi\text{ derivable por hipótesis}}{=}\Phi'(\eta_{t,s})(s-y_{0})(t-x_{0})=\frac{\partial^{2}f}{\partial x\partial y}(\xi_{t,s},\eta_{t,s})(s-y_{0})(t-x_{0})$
+\begin_inset Formula $\Delta_{t,s}=F_{s}(t)-F_{s}(x_{0})=F'_{\overline{s}}(\xi_{t,s})(t-x_{0})=\left(\frac{\partial f}{\partial x}(\xi_{t,s},s)-\frac{\partial f}{\partial x}(\xi_{t,s},y_{0})\right)(t-x_{0})\overset{\Phi(\overline{s})\coloneqq \frac{\partial f}{\partial x}(\xi_{t,s},\overline{s})}{=}(\Phi(s)-\Phi(y_{0}))(t-x_{0})\overset{\Phi\text{ derivable por hipótesis}}{=}\Phi'(\eta_{t,s})(s-y_{0})(t-x_{0})=\frac{\partial^{2}f}{\partial x\partial y}(\xi_{t,s},\eta_{t,s})(s-y_{0})(t-x_{0})$
 \end_inset
 
 .
  Permutando los papeles de las dos coordenadas (definiendo 
-\begin_inset Formula $\sigma_{\overline{t}}(\overline{s}):=f(\overline{t},\overline{s})-f(x,\overline{s})$
+\begin_inset Formula $\sigma_{\overline{t}}(\overline{s})\coloneqq f(\overline{t},\overline{s})-f(x,\overline{s})$
 \end_inset
 
 ) obtenemos que 
@@ -448,7 +448,7 @@ teorema
 Demostración:
 \series default
  Sea 
-\begin_inset Formula $R(h):=f(a+h)-f(a)-df(a)(h)-\frac{1}{2}d^{2}f(a)(h,h)$
+\begin_inset Formula $R(h)\coloneqq f(a+h)-f(a)-df(a)(h)-\frac{1}{2}d^{2}f(a)(h,h)$
 \end_inset
 
 , y hemos de ver que 
@@ -631,7 +631,7 @@ Si
 \end_inset
 
 -espacio vectorial con 
-\begin_inset Formula $k:=\dim_{K}(V)<+\infty$
+\begin_inset Formula $k\coloneqq \dim_{K}(V)<+\infty$
 \end_inset
 
  y 
@@ -751,7 +751,7 @@ Podemos suponer que alcanza un máximo.
 \end_inset
 
  definimos 
-\begin_inset Formula $\varphi_{i}(t):=f(a_{1},\dots,a_{i-1},t,a_{i+1},\dots,a_{m})$
+\begin_inset Formula $\varphi_{i}(t)\coloneqq f(a_{1},\dots,a_{i-1},t,a_{i+1},\dots,a_{m})$
 \end_inset
 
 , fijado 
@@ -848,7 +848,7 @@ suponiendo
 \end_inset
 
  dada por 
-\begin_inset Formula $\Phi(u):=d^{2}f(a)(u,u)=\sum_{i,j}\frac{\partial f}{\partial x_{i}\partial x_{j}}(a)u_{i}u_{j}$
+\begin_inset Formula $\Phi(u)\coloneqq d^{2}f(a)(u,u)=\sum_{i,j}\frac{\partial f}{\partial x_{i}\partial x_{j}}(a)u_{i}u_{j}$
 \end_inset
 
  es continua, luego 
@@ -914,7 +914,7 @@ Como
 \end_inset
 
  y definimos 
-\begin_inset Formula $\varphi(t):=a+tu$
+\begin_inset Formula $\varphi(t)\coloneqq a+tu$
 \end_inset
 
  como la función