# All Questions

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### Matchings in countably infinite geometric lattices of finite height

Let $L$ be a countably infinite geometric lattice of finite height $r\ge3$. (A geometric lattice of height $r$ is an atomistic semimodular lattice such that every maximal chain has $r+1$ elements.) ...
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### A moment problem

Suppose $X, Y$ are two positive random variables such that $\mathbb{E}[X^\alpha] = \mathbb{E}[Y^\alpha]$ for all $\alpha \in (0, 1/2)$. It is also known that the first moment exists for each of them, ...
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### Studying topology: which first, algebraic or differential? [on hold]

I have recently studying the basics of topology (ideas in point set, connectedness compactness) and I want to continue my studies but i'm interested in both differential and algebraic topology. which ...
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### Prefactor of a bounded differences inequality

I have a question concerning the prefactor of a bounded difference inequality. In Corollary 1, see p.7 there is the inequality $\text{Var}[Z]\leq\frac{1}{2}\sum\limits_{i=1}^n c_i^2$. On the other ...
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### The Gherkin - equation for the curve inoder to calculate the surface area of revolution [on hold]

I am trying to calculate the surface area of revolution for The Gherkin. not sure about how to obtain the equation of the curve but i have the data points that allowed me to graph it in excel but the ...
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### The free group of a group and the kernel of a canonical morphism

Let $G$ be a group and $F_G$ the free group on the set $G$. Then there exists a canonical surjective morphism ${\rm can}: F_G \to G \to 1$ constructed as follows: let $(e_x)_{x \in G}$ be a copy as a ...