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...
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...