Hey, I just have a quick question about whether degree concentrations are worth the time.
I am currently a math major double concentrating in General Math and Mathematics of Information. I plan on going to grad school once I graduate so will that double concentration even matter then? Let's...
I am currently a math and physics double major about to start my 3rd year. I recently really started to prefer my math courses and hope to go to graduate school for math. I still find physics to be fun but I just don't think it will be worth it considering how much time I will have to spend on...
Homework Statement
Polymers, like rubber, are made of very long molecules, usually tangled up in a configuration that has lots of entropy. As a very crude model of a rubber band, consider a chain of N links, each of length l. Imagine that each link has only two possible states, pointing...
Alright this is a pretty simple question. So if A is a infinite subset of the reals, does that mean that its length is infinite (eg. the set of all numbers from 0 to infinite) or could it also be just a set with an infinite number of terms (eg. the set of all real numbers between 1 and 2)?
Homework Statement
Basically I'm given Cv = aT + bT3 when T<50K and where Cv is the heat capacity of one mole of Aluminum and I'm asked to find an equation for the entropy as a function of T.
Homework Equations
dS = Cv/T dt
The Attempt at a Solution
So I integrated the above equation and...
Lets say you have a function f(x)=1/x-1/x+x this function would still be discontinuous at x=0 even though the 1/x's would cancel, right? Also I know that combinations of continuous functions are also continuous, so for example if f and g are continuous then f+g is continuous. So my other...
Alright well after playing around with it for a while I still have no idea what to do. How would I do it if we couldn't take Fick's first law for granted?
Homework Statement
Imagine a narrow pipe, filled with fluid, in which the concentration of a certain type of molecule varies only along the length of the pipe (in the x direction). By considering the flux of these particles from both directions into a short segment \Deltax, derive Fick's...