Partition Definition and 307 Threads

The Q is: show that the number of partitions of n within Z+ where no summand is divisible by 4 equals the number of partitions of n where no even summand is repeated Here is what I got so far Let the partition where no summand is divisible by 4 be P1(x) Let the partition where no even...

I reading a great book called Symmetry by Roy McWeeny. For those that love Dover Books this one's a gem. Anyway, I have a question. How do you partiton a particular group into distinct classes? The author was discussing the symmetry group C3v the rotation, and reflection of a...

I have a major problem. Let me explain everything from the beginning. I got a 120 GB HD and decided to partition it to three section. One section had about 80 GB w/o an OS. The second was 20 GB with XP Home and the third 10 GB with XP Professional. Therefore, while booting, the computer will ask...

Years ago I read in the daily paper(!) an account of a new theorem in partition theory. The key was that the guy had had the idea of proving theorems that were not for all cases but for all but a finite number of cases. The theorem had something about the number of ways to partion (prime?)...

If a partition P(n) gives the number of ways of writing the integer n as a sum of positive integers, comparatively how many ways does the partition P'(n) give for writing n as a sum of primes?

does p.t concern also with the multiples of a number, for example: the multiples of 4 are 2*2 and 4*1 meaning two? p.s i know that partition theory is concerned in the sums of a number (the partition of 4 is 5).

Hello people, Somebody asked me the following. Anybody want to give it a go? "Consider the following. We know, from elementary quantum mechanics, that the Bohr energies of the hydrogen atom go as (-E_0 / n^2), where n is, of course, the principal quantum number. We...