[phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 385: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 385: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 112: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4787: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3887) [phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4789: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3887) [phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4790: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3887) [phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4791: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3887) UBA - CienciaS • Ver Tema - Primer parcial - 18/05/2012
Ejercicio 1. Sea decimos que es lineal a trozos si para todo existe tal que y son funciones lineales. Hallar el cardinal del conjunto : es lineal a trozos
Ejercicio 2. Sea definida por
Se define como
i) Probar que es una métrica en ii) Hallar las suceciones convergentes para esta métrica. Decidir si es completo. iii) Si consideramos en la métrica máx ¿Vale que y son topológicamente equivalentes?
Ejercicio 3. Sea un espacio métrico y sea denso. Supongamos que dada existe tal que para todo
Probar que
Ejercicio 4. Consideremos el espacio métrico es acotada con la distancia sup Sea existe tal que para todo y consideramos el conjunto
Probar que:
Ejercicio 5. Sea un espacio métrico compacto y consideremos el espacio de las funciones continuas de en con la métrica sup Sean una sucesión de funciones y .
Probar que son equivalentes: i) converge a en . ii) Para toda sucesión que converge a vale que la sucesión converge a .
elnieto
Asunto: Re: Primer parcial - 18/05/2012
Publicado: 19 May 2012, 13:00
Ayudante de Segunda
Registrado: 04 Ago 2011, 13:11 Mensajes: 51
Me pareció un exámen accesible la verdad. Me quedé con algo de bronca por no haber pensado más el primero que salía al toque pero como un gil entregué
2)
3)
Mr. Z
Asunto: Re: Primer parcial - 18/05/2012
Publicado: 03 Oct 2013, 02:27
Estudiante
Registrado: 24 Mar 2013, 16:36 Mensajes: 22
No se si esta bien, intento de resolución para el 5)
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