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Continuous function

135 bytes added, 15:47, July 13, 2010
/* Interesting examples */ another amusing example: a function which is continuous in one point only
is nowhere continuous.
 
Similarly, the function <math>f(x) = x \cdot \chi_{\mathbb{Q}}(x)</math> is continuous only in 0, and discontinuous everywhere else.
 
[[category: mathematics]]
[[category: Topology]]
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