Thursday, 3 October 2013

Symmetric Relation

Find the probability that a randomly chosen relation from a set A = { 1,2,3,.....,n}  to itself is a symmetric relation

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