| 21. | As in the k = 2 case, the infimum of the bound is not known for any value of k.
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| 22. | The Lebesgue outer measure emerges as the greatest lower bound ( infimum ) of the lengths from among all possible such sets.
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| 23. | The distance between a point and a set is the infimum of the distances between the point and those in the set.
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| 24. | Where the infimum ranges over all density operators \ sigma _ B on the space \ mathcal { H } _ B.
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| 25. | The supremum of this function ( largest value ) is 5, and the infimum ( smallest value ) is " 4.
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| 26. | The space " Y " should also be an ordered set, so that the notions of supremum and infimum make sense.
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| 27. | The problem can also be formulated as a distortion rate function, where we find the infimum over achievable distortions for given rate constraint.
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| 28. | Let ( L, \ leq ) be a complete lattice, with infimum and supremum symbolized by \ wedge and \ vee, respectively.
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| 29. | When the game is infinite, a common model for the utility in the infinitely-repeated game is the infimum of the limit of means.
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| 30. | The \ sup and \ inf respectively take the supremum and infimum over pdf's on the unit interval ( actually Borel probability measures ).
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