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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 /fvc/n3.lyx
parent214b20d1614b09cd5c18e111df0f0d392af2e721 (diff)
Oops
Diffstat (limited to 'fvc/n3.lyx')
-rw-r--r--fvc/n3.lyx10
1 files changed, 5 insertions, 5 deletions
diff --git a/fvc/n3.lyx b/fvc/n3.lyx
index a2494f8..1e9215c 100644
--- a/fvc/n3.lyx
+++ b/fvc/n3.lyx
@@ -87,7 +87,7 @@ Sean
\end_inset
y
-\begin_inset Formula $Z(f):=\{z\in\Omega\mid f(z)=0\}$
+\begin_inset Formula $Z(f)\coloneqq \{z\in\Omega\mid f(z)=0\}$
\end_inset
,
@@ -139,7 +139,7 @@ f(z)=\sum_{n=0}^{\infty}c_{n}(z-a)^{n}
\end_inset
para
-\begin_inset Formula $c_{n}:=\frac{f^{(n)}(a)}{n!}$
+\begin_inset Formula $c_{n}\coloneqq \frac{f^{(n)}(a)}{n!}$
\end_inset
, y queremos ver que todos los
@@ -169,7 +169,7 @@ para
\end_inset
Sea
-\begin_inset Formula $g_{k}(z):=\sum_{n=k+1}^{\infty}c_{n}(z-a)^{n-k}$
+\begin_inset Formula $g_{k}(z)\coloneqq \sum_{n=k+1}^{\infty}c_{n}(z-a)^{n-k}$
\end_inset
una función holomorfa en
@@ -210,7 +210,7 @@ status open
\end_inset
Sea
-\begin_inset Formula $A:=\{z\in\Omega\mid \forall k\in\mathbb{N},f^{(k)}(z)=0\}\neq\emptyset$
+\begin_inset Formula $A\coloneqq \{z\in\Omega\mid \forall k\in\mathbb{N},f^{(k)}(z)=0\}\neq\emptyset$
\end_inset
, pues
@@ -337,7 +337,7 @@ principio de identidad para funciones holomorfas
\end_inset
no es idénticamente nula, entonces todo punto de
-\begin_inset Formula $Z(f):=\{z\in\Omega\mid f(z)=0\}$
+\begin_inset Formula $Z(f)\coloneqq \{z\in\Omega\mid f(z)=0\}$
\end_inset
es aislado y