It is a well known and lovely result that the maximum number of regions that $\mathbb R^{k}$ (with $k$ positive) can be divided into by $n$ hyperplanes is given by
$$1+n+\binom{n}{2}+\cdots+\binom{n}{k}.
$$ and occurs when they are in general position. It is clear that the minimum with distinct ...
I will just remind that the tag (geometry) is deprecated on MO (see the tag-info). I'll leave the choice of tags to more experienced users - I am not exactly sure which of the geometry-related tags to use here. — Martin Sleziak38 secs ago
deleted-tag The tag small-uncoutable-cardinals is now gone. (As I've mentioned, mods could have done this without bumping. But the fact that it was done manually has an advantage, too - it's possible to find in SEDE the question which had this tag at some point.)
Given the formal ordinary generating function (o.g.f.), or power series,
$$ f^{(-1)}(x) = x - [c_2x^2 + c_3x^3 +c_4 x^4 + \cdots],$$
construct the binomial Sheffer polynomial sequence $p_n(t)$ from the exponential generating function
$$ e^{f^{(-1)}(x) \cdot t} = e^{x \cdot p.(t)},$$
where
$$...
Given the formal ordinary generating function (o.g.f.), or power series,
$$ f^{(-1)}(x) = x - [c_2x^2 + c_3x^3 +c_4 x^4 + \cdots],$$
construct the binomial Sheffer polynomial sequence $p_n(t)$ from the exponential generating function
$$ e^{f^{(-1)}(x) \cdot t} = e^{x \cdot p.(t)},$$
where
$$...
