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  2. 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.

  3. Newcomb's paradox - Wikipedia

    en.wikipedia.org/wiki/Newcomb's_paradox

    There is a reliable predictor, another player, and two boxes designated A and B. The player is given a choice between taking only box B or taking both boxes A and B. The player knows the following: [4] Box A is transparent and always contains a visible $1,000. Box B is opaque, and its content has already been set by the predictor:

  4. Banach–Tarski paradox - Wikipedia

    en.wikipedia.org/wiki/Banach–Tarski_paradox

    "Can a ball be decomposed into a finite number of point sets and reassembled into two balls identical to the original?" The Banach–Tarski paradox is a theorem in set-theoretic geometry, which states the following: Given a solid ball in three-dimensional space, there exists a decomposition of the ball into a finite number of disjoint subsets, which can then be put back together in a different ...

  5. Dichotomy - Wikipedia

    en.wikipedia.org/wiki/Dichotomy

    In this image, the universal set U (the entire rectangle) is dichotomized into the two sets A (in pink) and its complement A c (in grey). A dichotomy / d aɪ ˈ k ɒ t ə m i / is a partition of a whole (or a set) into two parts (subsets). In other words, this couple of parts must be jointly exhaustive: everything must belong to one part or the ...

  6. 2 dead in Kamaka Air plane crash near Honolulu Airport during ...

    www.aol.com/2-dead-plane-crashed-building...

    Two people are dead after a plane crashed into a building near the Daniel K. Inouye International Airport in Honolulu, according to reports. At around 3:15 p.m. local time on Tuesday, Kamaka Air ...

  7. 'Fly 1,500 miles home with me to vote': These Americans are ...

    www.aol.com/lifestyle/fly-1-500-miles-home...

    Some of those who are making the trek, like Samantha Balsham, tell Yahoo Life that the effort is worth it to make sure their vote counts. At 19 years old, this presidential election is the first ...

  8. 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 ...

  9. Are you stretching correctly? Fitness experts break down what ...

    www.aol.com/type-stretch-best-workout-130042087.html

    One of Houlin’s favorite dynamic pre-workout stretches is what she calls the world’s greatest stretch. “It’s one of my very favorite ways to warm up. It’s a good universal one too for ...