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authorJuan Marin Noguera <juan@mnpi.eu>2022-12-04 22:49:17 +0100
committerJuan Marin Noguera <juan@mnpi.eu>2022-12-04 22:49:17 +0100
commitc34b47089a133e58032fe4ea52f61efacaf5f548 (patch)
tree4242772e26a9e7b6f7e02b1d1e00dfbe68981345 /ggs/n4.lyx
parent214b20d1614b09cd5c18e111df0f0d392af2e721 (diff)
Oops
Diffstat (limited to 'ggs/n4.lyx')
-rw-r--r--ggs/n4.lyx10
1 files changed, 5 insertions, 5 deletions
diff --git a/ggs/n4.lyx b/ggs/n4.lyx
index f6e22f9..dab3566 100644
--- a/ggs/n4.lyx
+++ b/ggs/n4.lyx
@@ -134,7 +134,7 @@ segmento de curva diferenciable a trozos
\end_inset
,
-\begin_inset Formula $\alpha_{i}:=\alpha|_{[t_{i-1},t_{i}]}$
+\begin_inset Formula $\alpha_{i}\coloneqq \alpha|_{[t_{i-1},t_{i}]}$
\end_inset
es un segmento de curva diferenciable.
@@ -258,7 +258,7 @@ Demostración:
\begin_layout Standard
Primero vemos que
-\begin_inset Formula $A:=\{q\in S\mid \Omega(p,q)\neq\emptyset\}=S$
+\begin_inset Formula $A\coloneqq \{q\in S\mid \Omega(p,q)\neq\emptyset\}=S$
\end_inset
viendo que es abierto, cerrado y no vacío.
@@ -468,7 +468,7 @@ Por la desigualdad de Cauchy-Schwarz, sean
\end_inset
y
-\begin_inset Formula $v:=\frac{\overrightarrow{q-p}}{\Vert\overrightarrow{q-p}\Vert}$
+\begin_inset Formula $v\coloneqq \frac{\overrightarrow{q-p}}{\Vert\overrightarrow{q-p}\Vert}$
\end_inset
, entonces
@@ -682,7 +682,7 @@ Existe un entorno
\end_inset
estrellado respecto al 0 con
-\begin_inset Formula $\exp_{p}:{\cal U}\to(V:=\exp_{p}({\cal U}))$
+\begin_inset Formula $\exp_{p}:{\cal U}\to(V\coloneqq \exp_{p}({\cal U}))$
\end_inset
difeomorfismo, luego existe
@@ -750,7 +750,7 @@ Queremos ver que
\end_inset
, existe
-\begin_inset Formula $t^{*}:=\inf\{t\in[a,b]\mid \alpha(t)\notin D(p,r^{*})\}$
+\begin_inset Formula $t^{*}\coloneqq \inf\{t\in[a,b]\mid \alpha(t)\notin D(p,r^{*})\}$
\end_inset
, pero