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In number theory, Euler's totient or phi function, \(φ(n)\), is an arithmetic function that counts the totatives of \(n\), that is, the positive integers less than or equal ...

Ready for a Chemistry Marathon? Let the game begins and see who will be the first to finish the run!

Consider the curve \(y=\) \(x^{3}\) Any three distinct points are chosen on this curve. The number of such triplets of points lying on this curve which form a triangle ...

Given \[2^{2014}\prod_{k=0}^{2014}\sin\left(x+\frac{k \pi}{2015}\right) = \sin\left(\frac{px}{q}\right).\] Find \(p+q\).

i made an observation the other day.. I would like to see how everyone explains this we know that (2/3)3=2 and 2/3=0.666666666666......... and it ...

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