Sunday, 27 October 2013

--7 to + 7

 How many ways can the integers from -7 to + 7  inclusive be arranged in a sequence such that the
absolute value of the numbers in the sequence does not decrease?
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Define f:R→R by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \ 0, ...