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11h
revised Series as an integral (sophomore's dream)
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1d
comment A grasshopper starts at the origin and is equally likely to hop north,s,e,w. What is the probability that it's coordinates will be 0,0 after 4 hops?
Perhaps you misread: the grasshopper can hop in all directions, but it needn't do it.
1d
awarded  Good Question
Jul
4
answered Can anyone prove the identity $\sum_{m=-\infty}^\infty (z+\pi m)^{-2} = (\sin z)^ {-2} $
Jul
3
revised Binomial Sum: Values
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Jul
3
accepted A detail on a proof of the strong Law of Large Numbers.
Jul
3
comment A detail on a proof of the strong Law of Large Numbers.
Much appreciated!
Jul
3
asked A detail on a proof of the strong Law of Large Numbers.
Jul
3
comment Quadratic field, $O_K/\mathfrak{p} = \mathbb{F}_p$, $O_K/pO_K$ is a finite field of order $p^2$.
You have some typos in the title.
Jul
3
comment Does $\sum_{n=1}^{\infty}a_k^2<\infty$ imply $\sup_{n\in \mathbb{N}}na_n<\infty$?
If $a_n\searrow 0$ then you can conclude that $n^{1/2}a_n\to 0$, though.
Jul
3
comment Are there any examples of non-abelian subgroups of abelian group?
Have you thought about this before posting the question?
Jul
2
revised How to show $E(XE(Y\mid F)=E(E(X\mid F)Y)$?
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Jun
29
revised What distribution has $X^n$ if $X$ is normal distributed?
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Jun
29
revised A game from Exercise in Artin's Algebra (Chapter 2 M.13)
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Jun
28
revised When a two-generated ideal of a noetherian integral domain have a finite projective resolution?
edited title
Jun
28
comment In an Euclidean $\mathbb R^n$ space, is every compact set an open set? Is it possible to have sets that are both open and bounded?
Compact sets are closed and bounded in $\Bbb R^n$, and $\Bbb R^n$ is connected. It follows the only compact open set is $\varnothing$.
Jun
28
comment Can one decompose any ring into a (possibly infinite) product of indecomposable rings?
When you say indecomposable ring, you mean connected ring yes?
Jun
27
comment When trying to learn analysis from bottom up, what numbers should I first construct?
You don't need to construct anything, really!
Jun
27
answered Binomial Sum: Values
Jun
26
revised Quotients of Solvable Groups are Solvable
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