Insights Blog
-- Browse All Articles --
Physics Articles
Physics Tutorials
Physics Guides
Physics FAQ
Math Articles
Math Tutorials
Math Guides
Math FAQ
Education Articles
Education Guides
Bio/Chem Articles
Technology Guides
Computer Science Tutorials
Forums
Trending
Featured Threads
Log in
Register
What's new
Search
Search
Search titles only
By:
Menu
Log in
Register
Navigation
More options
Contact us
Close Menu
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Forums
Physics
Classical Physics
Thermodynamics
What is the calculation for value B in Penrose's entropy model?
Reply to thread
Message
[QUOTE="votingmachine, post: 6868272, member: 559673"] N! makes sense to me now. To calculate the number of states with the bottom uniformly red, you could calculate the probability and multiply by the number of states. I can't see how the calculation would go but the sequence is: 1st ball probability: 0.5N / N 2nd ball probability: (0.5N-1) / N-1 3rd ball probability: (0.5N-2) / N-2 The probabilities would be multiplied for the total Someone proposed a simplification with a 4x4x4 cube and 32 balls. The probability would then be: Product (i from 0 to 15) of (0.5N-i) / N Product (i from 0 to 15) of (16-i) / (32-i) 16/32 x 15/31 x ... x 1/17 = 16! / (32! / 16!) = (16!^2) / 32!Mutiply that times 32! [(16!^2) / 32!] x 32! = (16!^2) I think it would generalize to: (0.5N! ^2) = number of states with half one color I caught one math error as I re-read this ... it is entirely possible there is another in plane sight. I think the principle of calculating the number of states from the probability times the total number of states would work though. EDIT: a 4x4x4 cube is 64 balls. I missed that math error. EDIT-EDIT: I see now that this was worked out in post #7. [/QUOTE]
Insert quotes…
Post reply
Forums
Physics
Classical Physics
Thermodynamics
What is the calculation for value B in Penrose's entropy model?
Back
Top