uforoboa
Reputation
3,929
Top tag
Next privilege 5,000 Rep.
Approve tag wiki edits
 Oct23 awarded Good Answer Sep30 awarded Explainer Aug27 awarded Yearling Aug11 awarded Popular Question Jul2 awarded Curious Jul2 awarded Inquisitive Aug27 awarded Yearling Feb6 comment Proving ${(n+2)!}< \left(n(\sqrt{2}-1)+\sqrt{2}\right)^{n+2}$ For zero it is false :) Feb4 revised Prove that f is differentiable in $\mathbb{R}$ edited title Feb4 comment Find all the functions which satisfy a given functional equation @DejanGovc Thanks for pointing it out. Indeed I was wrong. now It should be fixed and luckily It was just me to be too lazy and always looking for a shortcut :D thanks again Feb4 revised Find all the functions which satisfy a given functional equation added 62 characters in body Feb4 comment Find all the functions which satisfy a given functional equation I substitute $f(x)-1\mapsto f(x)$. Does it convince you? Feb4 revised Find all the functions which satisfy a given functional equation added 58 characters in body Feb4 answered Find all the functions which satisfy a given functional equation Feb2 revised Find all the functions which satisfy a given functional equation edited title Feb2 comment A problem about the additivity of exterior measure. right.. You do not have to worry then in this case that something might go wrong. The fact holds in much more generality, in your case it's a special case let's say. Feb1 answered Inequality of real numbers Feb1 comment A problem about the additivity of exterior measure. That K is Well contained in E, That is $\bar K \subset E$ Jan31 comment Show $d(x,y)=\sup|\alpha^k-\beta^k|$ satisfies triangle inequality If it is so the first inequality comes from the fact that in general, if you have two sequences, say $a_k, b_k$, then $\sup_k a_k+\sup_k b_k\geq \sup_k (a_k+b_k)$. For the other, notice that by the triangle inequality you are majorizing termwise. So it's ok. Jan31 comment Show $d(x,y)=\sup|\alpha^k-\beta^k|$ satisfies triangle inequality did I interpret right?