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  • 0 posts edited
  • 1 helpful flag
  • 173 votes cast
Sep
30
revised Trying to prove that $p$ prime divides $\binom{p-1}{k} + \binom{p-2}{k-1} + \cdots +\binom{p-k}{1} + 1$
edited body
Sep
30
comment Trying to prove that $p$ prime divides $\binom{p-1}{k} + \binom{p-2}{k-1} + \cdots +\binom{p-k}{1} + 1$
Yes you're right I should have put "any".
Sep
30
revised Trying to prove that $p$ prime divides $\binom{p-1}{k} + \binom{p-2}{k-1} + \cdots +\binom{p-k}{1} + 1$
deleted 1 characters in body
Sep
30
comment Trying to prove that $p$ prime divides $\binom{p-1}{k} + \binom{p-2}{k-1} + \cdots +\binom{p-k}{1} + 1$
@Martin: Thanks I'll look into that.
Sep
30
revised Trying to prove that $p$ prime divides $\binom{p-1}{k} + \binom{p-2}{k-1} + \cdots +\binom{p-k}{1} + 1$
deleted 21 characters in body
Sep
30
revised Trying to prove that $p$ prime divides $\binom{p-1}{k} + \binom{p-2}{k-1} + \cdots +\binom{p-k}{1} + 1$
added 102 characters in body
Sep
30
asked Trying to prove that $p$ prime divides $\binom{p-1}{k} + \binom{p-2}{k-1} + \cdots +\binom{p-k}{1} + 1$
Sep
26
accepted Showing that $\lim_{k\rightarrow 0}\int_0^1\frac{dx}{\sqrt{(1-x^2)(1-k^2x^2)}} = \int_0^1\frac{dx}{\sqrt{(1-x^2)}}$
Sep
26
comment Showing that $\lim_{k\rightarrow 0}\int_0^1\frac{dx}{\sqrt{(1-x^2)(1-k^2x^2)}} = \int_0^1\frac{dx}{\sqrt{(1-x^2)}}$
Ok cool, thanks Alex, I'll give this a careful study.
Sep
26
comment Showing that $\lim_{k\rightarrow 0}\int_0^1\frac{dx}{\sqrt{(1-x^2)(1-k^2x^2)}} = \int_0^1\frac{dx}{\sqrt{(1-x^2)}}$
Thanks for this Alex. I was hoping to avoid the Dominated Convergence Theorem since I'm just taking my first measure theory class right now. However I'm a bit confused by $\int_{1-\epsilon}^1\frac{dx}{\sqrt{(1-x^2)(1-k^2x^2)}}\leq \int_{1-\epsilon}^1 \frac{dx}{\sqrt{1-x^2}}$, shouldn't the inequality face the other way?
Sep
26
asked Showing that $\lim_{k\rightarrow 0}\int_0^1\frac{dx}{\sqrt{(1-x^2)(1-k^2x^2)}} = \int_0^1\frac{dx}{\sqrt{(1-x^2)}}$
Aug
19
comment How is graduate abstract algebra different from undergraduate abstract algebra?
lol, I'm one of your up voters, I thought this was a really good post, but the people who keep down voting your posts do it for a laugh because they get such a rise out of you, just don't react to it at all and I bet over time they will leave you alone.
Aug
18
accepted Let $M$ be a maximal ideal in $R$ such that for all $x\in M$, $x+1$ is a unit. Show that $R$ is a local ring with maximal ideal $M$
Aug
16
accepted Trying to prove that $\lim_{n\rightarrow\infty}(\frac{\Gamma '(n+1)}{n!} -\log(n))=0$
Aug
16
comment Trying to prove that $\lim_{n\rightarrow\infty}(\frac{\Gamma '(n+1)}{n!} -\log(n))=0$
Wow, this is a really clever use of the MVT, thanks.
Aug
16
revised Trying to prove that $\lim_{n\rightarrow\infty}(\frac{\Gamma '(n+1)}{n!} -\log(n))=0$
added 22 characters in body
Aug
16
asked Trying to prove that $\lim_{n\rightarrow\infty}(\frac{\Gamma '(n+1)}{n!} -\log(n))=0$
Aug
11
revised Let $M$ be a maximal ideal in $R$ such that for all $x\in M$, $x+1$ is a unit. Show that $R$ is a local ring with maximal ideal $M$
edited body
Aug
10
awarded  Self-Learner
Aug
10
comment Let $M$ be a maximal ideal in $R$ such that for all $x\in M$, $x+1$ is a unit. Show that $R$ is a local ring with maximal ideal $M$
@FortuonPaendrag: You're absolutely right, this definitely isn't the first time this has happened.