From c34b47089a133e58032fe4ea52f61efacaf5f548 Mon Sep 17 00:00:00 2001 From: Juan Marin Noguera Date: Sun, 4 Dec 2022 22:49:17 +0100 Subject: Oops --- ggs/n4.lyx | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) (limited to 'ggs/n4.lyx') 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 -- cgit v1.2.3