Probability of chossing two points from a segment of length L so that one is 2L/3 greater than another.

How many subsets of $\{1,2,3,\ldots,100\}$ contain all the even numbers?

What fields between the rationals and the reals allow to define the usual 2D distance?

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Prove that $\frac{1}{ab}+\frac{1}{cd} \geq \frac{a^2+b^2+c^2+d^2}{2}$

Can this expression be simplified? (double integral over a sphere in $\mathbb{R}^3$.

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What are the limitations of computer plotting?

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