Recent content by Chasing_Time

Hi all, this (probably easy) problem from numerical analysis is giving me trouble. I can't seem to get started and need some poking in the right direction. Homework Statement Consider the following claim: if two floating point numbers x and y with the same sign differ by a factor of at...

Hi Coto and ice109: Two responses and two very different opinions! You each give me more angles to consider! Coto- Agreed on the application to PDE's (which is why I even took Real Analysis I to begin with). I hadn't before seriously considered Real Analysis II since here, the applied math...

Hi all, I am finishing my last semester of undergrad as a geosciences major with a minor in mathematics. I have applied to graduate programs in Physical Oceanography. I have found (a bit too late) that I really enjoy mathematics and would like to make the most of my last semester in two...

I have looked at the problem again recently but still don't have much more insight. I see that, by the first law, since no work is being done (constant volume): \left(\frac{\partial Q}{\partial T}\right)_V = C_v = \left(\frac{\partial U}{\partial T}\right)_V Using...

Hi all, I am getting stuck on this problem from chapter 4 of Fermi's Thermodynamics: Homework Statement "A body obeys the equation of state: pV^{1.2} = 10^{9}T^{1.1} A measurement of its thermal capacity inside a container having the constant volume of 100 L shows that under these...

Yes- this is all coming together now. I'm just unable to show that the set R can cover O = {|x| < 1}.

Hi all, I'm getting stuck on this problem. Homework Statement I am asked to show that that the open ball in the plane {|x|} < 1} can be written as a countable union of rectangles [a_1, a_2] x [b_1,b_2], but the closed ball in the plane {|x| <= 1} cannot be written as a countable union of...