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As somebody used to say:

Does research. Smokes. Battles administration. Smokes. Wishes he could stop battling administration so that he could have more time to do research. Smokes some more.

The same. Except I do not smoke.

	102,071 reputation	bio	website		visits	member for	2 years, 3 months
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What is so special about $\alpha=-1$ in the integral of $x^\alpha$?

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Find a closed form for this sequence

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Is there a constructive proof of this characterization of $\ell^2$?

Find a closed form for this sequence: $a_{n+1} = a_n + a_n^{-1}$

Upsetting inequality

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Prove $ \sqrt{\arctan(x)} = (1/2) \arccos((1-x)/(1+x))$

Irrationality of a series

Is the probability density function unique?

What is the probability that 5 digit number divisible by 6?

Can we say (for sure) that "the function is increasing” to mean that the ﬁrst derivative is positive?

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Prove: if $A(x)$ is divisible by $(x-a)^m$, its derivative is divisible by $(x - a)^{m-1}$

Prove or refute: for an Riemann integrable function $f$ in $[0,1]$ also $\sin(f)$ is integrable on $[0,1]$

Expectation of the maximum of IID geometric random variables

Calculus : A hard limit to infinity

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An Integral involving $e^{ax} +1$ and $e^{bx} + 1$

de Morgan's law on infinite unions and intersections

Uniform Distributions - Probability

Volume of spheres in higher dimensions?

Prove that if $A^2=0$ then $A$ is not invertible

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Why $f^{-1}(f(A)) \not= A$

Is there a continuous function with the following properties?

Trace of $A$ if $A =A^{-1}$

Constructing a bijection from (0,1) to the irrationals in (0,1).