Henry
Reputation
280
Top tag
Next privilege 500 Rep.
Access review queues
 Jan 31 awarded Popular Question Feb 7 accepted How can I prove every Riemann sum of x^2 of [a,b] is the integral? Jan 31 comment How can I prove every Riemann sum of x^2 of [a,b] is the integral? unless I can show that evenly spaced is equivalent within the same proof, then I wouldn't be satisfied. I have to think about how obvious (to me) it is that they are equivalent, but thank you! Jan 31 comment How can I prove every Riemann sum of x^2 of [a,b] is the integral? I was looking for $f(x) = x^2$ rather than $f(x) = x$, although this is slightly different than what I was doing so thank you! Jan 31 comment How can I prove every Riemann sum of x^2 of [a,b] is the integral? Ah right I fixed the typo. And yes I see what you mean, you're right of course, they won't cancel. I am moving along to theorems that can be used to prove this, but I'm still curious how one would do it 'from scratch' here. Jan 31 revised How can I prove every Riemann sum of x^2 of [a,b] is the integral? typo Jan 31 asked How can I prove every Riemann sum of x^2 of [a,b] is the integral? Dec 19 awarded Caucus Oct 22 comment The complexity of Depth First Search The question is about the asymptotic performance of the algorithm. You need to read about 'big O', and the wikipedia article on this subject is a decent place to go. Then, see if you can answer some simpler questions, such as what is the complexity of bubble sort. Finally, tackle DFS! Oct 22 accepted What is wrong with my limit work here? Oct 22 accepted Lost in second derivative simplification Oct 11 comment Prove that all subsequential limits have been found @Henry yes it appears I was allowed to assume $a_n$ only takes 5 values. Oct 11 comment Prove that all subsequential limits have been found @Lund-Nguyen exhaustive was meant to mean '$S$ is the set of all possible subsequential limits' not just a subset, or a wrong set either. Oct 11 accepted Prove the difference of roots is less than or equal to the root of the difference Oct 11 asked Prove that all subsequential limits have been found Sep 28 comment Prove the difference of roots is less than or equal to the root of the difference I know we can suppose a >= b without loss of generality (since we are using absolute values). However no, I don't see how to move past this part algebraically. I get $-2\sqrt{ab} \leq -2b \to 4ab \leq 4b^2 \to a \leq b$ still not sure what this gets me... Sep 28 asked Prove the difference of roots is less than or equal to the root of the difference Sep 10 awarded Nice Question Jul 2 awarded Curious Apr 22 accepted Markov transition matrix for given problem