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