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 Jan 27 awarded Popular Question Mar 23 comment Proving an interpolation inequality Thanks Pacciu; after seeing your hint I proceeded exactly as you and got to the answer :) I forgot to thank you before, but here it goes. Mar 23 accepted Proving an interpolation inequality Mar 23 asked Proving an interpolation inequality Mar 9 accepted Prove a property holds on a metric space if it holds on a dense subset Mar 9 comment Prove a property holds on a metric space if it holds on a dense subset I know, but I still don't know how to prove either one of these to show that the result holds for both. My question is basically: how the hell do I work with a dense subset? :P Mar 9 asked Prove a property holds on a metric space if it holds on a dense subset Feb 20 awarded Supporter Feb 20 comment Limits of integration of solution $u$ of $-u''=f$ with $u(0)=u(1)=0$ Thank you very much. Feb 20 accepted Limits of integration of solution $u$ of $-u''=f$ with $u(0)=u(1)=0$ Feb 20 awarded Editor Feb 20 revised Limits of integration of solution $u$ of $-u''=f$ with $u(0)=u(1)=0$ added 2 characters in body Feb 20 asked Limits of integration of solution $u$ of $-u''=f$ with $u(0)=u(1)=0$ Feb 14 awarded Student Feb 14 awarded Scholar Feb 14 accepted How do I complete this square? Feb 14 comment How do I complete this square? Yes Sivaram - that is correct. And I would have done that, but the professor has explicitly said to calculate it by direct integration - to my demise. I basically end up with two lines of a letter-salad and can't get anywhere. By the way, I don't have to turn this in since it was due last week, but it is annoying the hell out of me. Feb 14 comment How do I complete this square? Thanks. This is what I had - but I have to integrate the exponential function to the power of this, and I really didn't want to... :/ Feb 14 comment How do I complete this square? I'm sorry... I'm new to Stack Exchange. Feb 14 asked How do I complete this square?