# Tag Info

### List of Generalizations of Common Questions

Burnside lemma and Pólya enumeration theorem examples Observe that the convention at the OEIS is that the term necklace refers to the slots being arranged around a circle with rotational ...

### List of Generalizations of Common Questions

More for my own sake than anything else. Integration duplicates tend to be quite hard to find due to the large amount of symbols in titles. Here is a short list of some famous integrals that pop up ...

### List of Generalizations of Common Questions

Hypergeometric/Summation Identities summation Rather than have these broken up among algebra-precalculus, proof by induction, combinatorics, etc. I am gathering them all in one place. Faulhaber ...

### List of Generalizations of Common Questions

Probability probability "Two Children Puzzle / Boy Born on a Tuesday" and variants: In a family with two children, what are the chances, if one of the children is a girl, that both ...

### List of Generalizations of Common Questions

Questions about [irreducible-polynomials] concerning generic methods: Methods to see if a polynomial is irreducible How to choose correct strategy for irreducibility testing in $\mathbb{Z}[X]$? ...

I am adding this answer because the question came up again recently and, while much of what I wrote is a little redundant, there is an aspect of the culture of MSE which I think is worth discussing. ...
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A couple of analysis exercises that appear frequently: prove that $f'(a)=\lim_{x\rightarrow a}f'(x)$. if $f'(x)\rightarrow L$ as $x \rightarrow \infty$, $-\infty \leq L \leq \infty$ ...