From c34b47089a133e58032fe4ea52f61efacaf5f548 Mon Sep 17 00:00:00 2001
From: Juan Marin Noguera <juan@mnpi.eu>
Date: Sun, 4 Dec 2022 22:49:17 +0100
Subject: Oops

---
 gae/n3.lyx | 10 +++++-----
 1 file changed, 5 insertions(+), 5 deletions(-)

(limited to 'gae/n3.lyx')

diff --git a/gae/n3.lyx b/gae/n3.lyx
index 124d2e7..839d85a 100644
--- a/gae/n3.lyx
+++ b/gae/n3.lyx
@@ -685,7 +685,7 @@ Dado un conjunto ortogonal
 \end_inset
 
 , el vector 
-\begin_inset Formula $\vec{u}_{k+1}:=\vec{x}-\frac{\vec{x}\cdot\vec{u}_{1}}{\Vert\vec{u}_{1}\Vert^{2}}\vec{u}_{1}-\dots-\frac{\vec{x}\cdot\vec{u}_{k}}{\Vert\vec{u}_{k}\Vert^{2}}\vec{u}_{k}$
+\begin_inset Formula $\vec{u}_{k+1}\coloneqq \vec{x}-\frac{\vec{x}\cdot\vec{u}_{1}}{\Vert\vec{u}_{1}\Vert^{2}}\vec{u}_{1}-\dots-\frac{\vec{x}\cdot\vec{u}_{k}}{\Vert\vec{u}_{k}\Vert^{2}}\vec{u}_{k}$
 \end_inset
 
  es ortogonal a los del conjunto y 
@@ -938,7 +938,7 @@ proyección ortogonal
 \end_layout
 
 \begin_layout Standard
-\begin_inset Formula $\vec{u}:=\pi_{U}(\vec{v})$
+\begin_inset Formula $\vec{u}\coloneqq \pi_{U}(\vec{v})$
 \end_inset
 
  es la 
@@ -1291,7 +1291,7 @@ distancia
 \end_inset
 
  como 
-\begin_inset Formula $d(P,Q):=\Vert\overrightarrow{PQ}\Vert$
+\begin_inset Formula $d(P,Q)\coloneqq \Vert\overrightarrow{PQ}\Vert$
 \end_inset
 
 , y por las propiedades de la norma, 
@@ -1348,7 +1348,7 @@ La distancia entre dos variedades
 \end_inset
 
  se define como 
-\begin_inset Formula $d({\cal L},{\cal L}'):=\inf\{d(P,P')\}_{P\in{\cal L},P'\in{\cal L}'}$
+\begin_inset Formula $d({\cal L},{\cal L}')\coloneqq \inf\{d(P,P')\}_{P\in{\cal L},P'\in{\cal L}'}$
 \end_inset
 
 , y la distancia de un punto 
@@ -1588,7 +1588,7 @@ La recta ortogonal a
 \end_inset
 
  se tiene 
-\begin_inset Formula $Q':=Q+\lambda_{0}\vec{a}\in{\cal H}$
+\begin_inset Formula $Q'\coloneqq Q+\lambda_{0}\vec{a}\in{\cal H}$
 \end_inset
 
 .
-- 
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