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Update diferenciacion_compleja.html
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jcponce committed Feb 15, 2024
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Expand Up @@ -550,17 +550,20 @@ <h2>Funciones analíticas</h2>
<div class="w3-padding">

<p>
<strong>Example:</strong>
The function $$f(z) = \frac{1}{z}$$ is analytic at each nonzero point in the finite
plane. On the other hand, the function $$f(z) = |z|^2$$
is not analytic at any point since its derivative
exists only at $z = 0$ and not throughout any neighbourhood.
<strong>Examplo:</strong>
La función
$$f(z) = \frac{1}{z}$$
es analítica en cada punto diferente de cero en el pano finito.
Por otra parte, la función
$$f(z) = |z|^2$$
no es analítica en cualquier punto ya que su deriviada
existe solo en $z = 0$ y no sobre una vecidad.
</p>
<p>

The point $z = 0$ is evidently a singular point of the function $f(z) = 1/z.$ The
function $f(z) = |z|^2$, on the other hand, has no singular points since it is nowhere
analytic.
El punto $z = 0$ es evidentemente un punto singular
de la función $f(z) = 1/z.$ La función $f(z) = |z|^2,$
por otra parte, no tiene puntos singulares
dado que no es analítca en ninguna parte.
</p>
</div>

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