Recent content by The_Doctor

  1. T

    Classical treatment of statistical mechanics

    I'm not. It was an example of drew's comment that classical stat mech is used in biological systems, I presume that is an example, though I'm not 100% sure because, as you say, it's advanced for my level.
  2. T

    Classical treatment of statistical mechanics

    Yeah, but I don't know Hamiltonian mechanics yet :(. Guess I'll have to learn it first. Yes, we learned the existence of this problem in high school; well we only really learned that Planck resolved it (it was called the 'black-body radiation problem') by quantising energy, E=hf...
  3. T

    Classical treatment of statistical mechanics

    Forgive me, but I cannot seem to find classical statistical mechanics from your link. The review of classical thermodynamics doesn't seem to have any statistical mechanics and the fundamentals of statistical mechanics seems to have discrete energy levels. Also, so at a microscopic level, are...
  4. T

    Classical treatment of statistical mechanics

    I've been reading, in my own time, a first course in thermodynamics and they present a quantum treatment of statistical mechanics (discrete energy levels), but on the article for the partition function on wikipedia, I find out that there is a classical treatment of statistical mechanics as well...
  5. T

    Prove the ratio of AX:XB = 1:λ if X is a point on a circle

    Homework Statement The points P and Q divide a given interval AB internally and externally respectively in the ratio 1:λ. The point X lies on the circle with diameter PQ. Prove that AX:XB=1:λ Homework Equations None The Attempt at a Solution Basically, if we define the centre of PQ and the...
  6. T

    Can you tile an equilateral triangular tile with a triple N set of triominos

    Haha yeah. Much simpler. Well thanks anyway for all your help, and the extra question was very interesting as well. If you do find a way of solving both Diophantine equations or a method of solving the problem without Diophantine equations, be sure to post!
  7. T

    Can you tile an equilateral triangular tile with a triple N set of triominos

    Hmm, yeah. I understand what you mean. The formula isn't concerned with order. I think if you approach the problem algebraically, you'll end up having to use Diophantine equations, because there is a solution, and there could be more. Although the question only asks if it is possible, so maybe...
  8. T

    Can you tile an equilateral triangular tile with a triple N set of triominos

    Pardon my ignorance, but what is handedness? Hmm, yeah, I didn't consider using mod 6. It certainly does seem unlikely that further elimination can be done. There are 2 things I would like to ask though, which are: can you simultaneously solve Diophantine equations? For if you could, you could...
  9. T

    Can you tile an equilateral triangular tile with a triple N set of triominos

    Homework Statement A tri-omino is an equilateral triangular tile with lines dividing the triangular face into four equilateral triangles decorated with blanks or pips. There are (N+3)(N+2)(N+1)/6 tri-ominos in a Triple N set. Is it possible to tile a triangular region without gaps or overlaps...
  10. T

    Questions about C: Compiler, Math.h, Custom Libraries

    Thanks to everyone for answering my questions :D
  11. T

    Questions about C: Compiler, Math.h, Custom Libraries

    Just a few questions about C. When using #include <math.h>, why is it that when compiling in gcc, I need to add the option -lm. I understand that -l links to some libraries, but why does the compiler need to be linked to whatever 'm' links to? Why can't the compiler find math.h by itself? And...
  12. T

    Explanation for Simultaneous Equations Solution

    Hi, there's this simultaneous equation problem, however I already know the solution, I just want to know more about the solution. a+b+c=2,bc+ac+ab=-5, abc=-6 The solution is: Consider the polynomial (x-a)(x-b)(x-c), where a,b,c are constants. (x-a)(x-b)(x-c) = x^3-(a+b+c)x^2+(bc+ac+ab)x-abc...
  13. T

    Where Can I Find Challenging Classical Physics Problems Online?

    Yeh, I did have a quick look. Most were lectures, videos or courses. I don't really want that. I'll look in the homework section, see if their are problems there, though I'd prefer not to do this.
Back
Top