Recent content by einarbmag
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Graduate Finding max/min of function over combinations of m sets from n sets
I started looking around yesterday for search algorithms and stumbled upon simulated annealing, and it does look slightly promising. I might try that, but I suspect that to truly solve this in an elegant way I need to come up with something based on how S_m is calculated.- einarbmag
- Post #12
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Finding max/min of function over combinations of m sets from n sets
It's a tough one, but I really have to find some other method than brute-force. Taking only 10 thousand combinations for each m, having n=50, calculating S_m for all combinations and all m up to 49 takes a few hours. And that doesn't even come close to solving my problem, finding the max/min of...- einarbmag
- Post #10
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Finding max/min of function over combinations of m sets from n sets
All right, the values are positive reals, and high values tend to happen closely in time over all columns.(I.e. in rows close to each other) Values can differ in 1-2 magnitudes of order.- einarbmag
- Post #9
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Finding max/min of function over combinations of m sets from n sets
I think you are making this more complicated than it is: I have a table of values, each column (n columns) represents a value recording site, each row all values recorded at a specific time. I pick m of these columns and calculate mentioned S_m for those. Which combination of m columns give...- einarbmag
- Post #7
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Finding max/min of function over combinations of m sets from n sets
I guess I was a little mathematically unprecise. (Not a mathematician, almost a physicist) Lists is probably more precise than sets, the values are in a time sequence and therefore ordered. By row sum I just mean the sum of the elements in a row, and the maximum row sum is just the largest...- einarbmag
- Post #5
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Finding max/min of function over combinations of m sets from n sets
Ok, the sets are columns of values, and when we choose m sets we put the columns together in a matrix. Now, S_m = a/b, where a is the largest row-sum and b is the sum of the maxima of each column.- einarbmag
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Finding max/min of function over combinations of m sets from n sets
I have n comparable sets of data, several thousand numbered values in each set. A certain number can be calculated by choosing m of these sets, let's call it S_m. Now, the value of S_m depends on which sets I choose, so it can be thought of as a function of m variables which can only take...- einarbmag
- Thread
- Cause Combinatorics Computing
- Replies: 12
- Forum: Set Theory, Logic, Probability, Statistics
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Magnetic flux between coaxial conductors
Homework Statement A coaxial conductor has the length L. The inner conductor of radius a carries a current I in the z direction. The outer conductor is very thin and has the radius b. Calculate the total magnetic flux enclosed within the conductors. Homework Equations Magnetic flux...- einarbmag
- Thread
- Coaxial Conductors Flux Magnetic Magnetic flux
- Replies: 1
- Forum: Introductory Physics Homework Help