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| author | Juan Marin Noguera <juan@mnpi.eu> | 2022-12-04 22:49:17 +0100 |
|---|---|---|
| committer | Juan Marin Noguera <juan@mnpi.eu> | 2022-12-04 22:49:17 +0100 |
| commit | c34b47089a133e58032fe4ea52f61efacaf5f548 (patch) | |
| tree | 4242772e26a9e7b6f7e02b1d1e00dfbe68981345 /ggs/n4.lyx | |
| parent | 214b20d1614b09cd5c18e111df0f0d392af2e721 (diff) | |
Oops
Diffstat (limited to 'ggs/n4.lyx')
| -rw-r--r-- | ggs/n4.lyx | 10 |
1 files changed, 5 insertions, 5 deletions
@@ -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 |
