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  2. Partition refinement - Wikipedia

    en.wikipedia.org/wiki/Partition_refinement

    When a set S i that has already been chosen is split by a refinement, only one of the two resulting sets (the smaller of the two) needs to be chosen again; in this way, each state participates in the sets X for O(s log n) refinement steps and the overall algorithm takes time O(ns log n), where n is the number of initial states and s is the size ...

  3. Partition problem - Wikipedia

    en.wikipedia.org/wiki/Partition_problem

    A related problem, somewhat similar to the Birthday paradox, is that of determining the size of the input set so that we have a probability of one half that there is a solution, under the assumption that each element in the set is randomly selected with uniform distribution between 1 and some given value. The solution to this problem can be ...

  4. 3-partition problem - Wikipedia

    en.wikipedia.org/wiki/3-partition_problem

    Therefore, the remaining 3-sets can be partitioned into two groups: n 3-sets containing the items u ij, and n 3-sets containing the items u ij '. In each matching pair of 3-sets, the sum of the two pairing items u ij +u ij ' is 44T+4, so the sum of the four regular items is 84T+4. Therefore, from the four regular items, we construct a 4-set in ...

  5. Set splitting problem - Wikipedia

    en.wikipedia.org/wiki/Set_splitting_problem

    In computational complexity theory, the set splitting problem is the following decision problem: given a family F of subsets of a finite set S, decide whether there exists a partition of S into two subsets S 1, S 2 such that all elements of F are split by this partition, i.e., none of the elements of F is completely in S 1 or S 2.

  6. Subset sum problem - Wikipedia

    en.wikipedia.org/wiki/Subset_sum_problem

    For example, if all input values are positive and bounded by some constant C, then B is at most N C, so the time required is (). This solution does not count as polynomial time in complexity theory because B − A {\displaystyle B-A} is not polynomial in the size of the problem, which is the number of bits used to represent it.

  7. Man Who Stabbed His Father 50 Times Reportedly Tells ... - AOL

    www.aol.com/man-stabbed-father-50-times...

    Jeffrey Goedde, 41, handed himself into the Jefferson County Sheriff’s Office on Wednesday, Dec. 18, according to court documents seen by PEOPLE

  8. Variable splitting - Wikipedia

    en.wikipedia.org/wiki/Variable_splitting

    For many problems, relaxing the equality of split variables allows the system to be broken down, enabling each subsystem to be solved separately. This significantly reduces computation time and memory usage. Solving the relaxed problem with variable splitting can give an approximate solution to the initial problem.

  9. 3 Dividend-Paying Value Stocks to Buy Even If There's a Stock ...

    www.aol.com/3-dividend-paying-value-stocks...

    Image source: Getty Images. 1. Lockheed Martin. After its stock price reached an all-time high earlier this year, Lockheed Martin and its defense contractor peers have sold off considerably over ...