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answered How to generate two group of $n$ random numbers in $U(0,1)$ such that sum of these two groups equal?
1d
comment How to generate two group of $n$ random numbers in $U(0,1)$ such that sum of these two groups equal?
@Szabolcs: Well, they CAN both be uniformly distributed and equal, taking $u_i=v_{\pi(i)}$, for some permutation $\pi$, but then they are of course not independent.
Dec
1
comment Is Mathematica worth it for me?
I started with Mathematica when I was 13. However, a Ti-83 will be more useful, I got one around that time, and that is how I learned programming and more math.
Nov
19
comment Refining subset relations
@AntonAntonov: You are right! That's a nice interpretation.. well, then this also means that the problem is NP-hard...
Nov
18
comment Refining subset relations
@AntonAntonov: Well, if the input uniquely defines all values, then the column-form output data you have is perfectly fine. But in a more general case, there must be some sort of disjoint set of equations that still span the same relations that was the input...
Nov
18
comment Refining subset relations
This is really a nice approach!
Nov
18
revised Refining subset relations
added example
Nov
17
revised Refining subset relations
added more background
Nov
17
comment Refining subset relations
Hi Daniel! Yes, the typical input should be that each object gives exactly one value under the (unknown) map.
Nov
13
comment Refining subset relations
Ah, right! Ok, so I am looking for an efficient implementation, that exploits nice Mathematica constructs. That is, can my code above be improved? For example, my code iterates over the entire set of rules, and compares all pairs more or less. There should be some smarter way to exclude some cases, and/or exploit say singletons whose value is completely known.
Nov
13
revised Refining subset relations
added 52 characters in body
Nov
13
comment Refining subset relations
@DanielLichtblau: Consider them as vectors in $R^3$ then.
Nov
13
comment Refining subset relations
Can people who vote to close please motivate? I wrote the question in a bit of a hurry, and I added my code now. It should now be more clear what I am asking for...
Nov
13
revised Refining subset relations
added code
Nov
12
comment Refining subset relations
Well, it does not matter in the way the question is formulated. My point is, the objects could be anything, say permutations, or vectors, or something. The code should work for any statistic on objects into integers..
Nov
12
revised Refining subset relations
added 109 characters in body
Nov
12
asked Refining subset relations
Nov
6
awarded  Good Answer
Oct
31
asked Memoized function with function parameter
Oct
10
comment Why some alpha + Evaluate return Pod, some return only return an Entity?
Just curious, What happened 2013 that made people so interested in Richard III?