Wednesday, 2 October 2013

2013

On each of the cards written in 2013 by number, all of these 2013 numbers are diff erent. The cards are turned down by numbers. In a single move is allowed to point out the ten cards and in return will report one of the numbers written on them (do not know what). For what most W guaranteed to be able to fi nd W cards for which we know what numbers are written on each of them?

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Define f:RR by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \ 0, ...