Is it a valid pdf? no no no no no (no) no yes yes yes (yes) yes Therefore (0,infinity) can never be the first valid pdf, even though it may be a valid pdf. So if there is any valid pdf in pi that can be identified by the range tuple (0,N), then the first valid pdf must occur before N -> infinity. Where I'm from "first" and "less" are related (the first element in a unique sorted list is defined to be less than all other elements). Note the word "next", implying that (0,10) sorts before (0,11) you even say it yourself "11 is less than infinity". ![]() Or any after it up to and including (0,infinity). Why is this so hard? If the tuple (0,10) represents the range of a valid pdf, then the next tuple (0,11) is also a valid pdf.
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