Functii surjective continue pe R-Q si discontinue pe Q

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blanche2negru
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Functii surjective continue pe R-Q si discontinue pe Q

Post by blanche2negru »

Sa se gaseasca o functie surjectiva \( g:\mathbb{R}\to\mathbb{R} \), continua in orice punct irational si discontinua in orice punct rational.

Evaluare in educatie, etapa a II-a, 2008
Last edited by blanche2negru on Thu Mar 06, 2008 10:44 pm, edited 2 times in total.
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bogdanl_yex
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Post by bogdanl_yex »

"Don't worry about your difficulties in mathematics; I can assure you that mine are still greater"(Albert Einstein)
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Alin Galatan
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Post by Alin Galatan »

Pare interesanta constructia din PDF, dar ai putea te rog pune si enuntul? Ca sa se vada frumos toti pasii.
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bogdanl_yex
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Post by bogdanl_yex »

Aici se gaseste si enuntul complet... http://www.evaluareineducatie.ro/client ... s%2011.pdf :D
"Don't worry about your difficulties in mathematics; I can assure you that mine are still greater"(Albert Einstein)
Laurentiu Tucaa
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Post by Laurentiu Tucaa »

Un exemplu este si x+functia Riemann.
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