Craig Citro wrote: > > So I think that this suggests returning an Integer is the right move > -- it's just a question of what to do if there *is* no single correct > integer.
Okay, that seems like a valid point, though I still disagree. I think that we have two levels of consistency here: consistency with the function and consistency with the concept of interval arithmetic. I think that in this case, the interval arithmetic requirement is more specific, so you should be consistent with having intervals. So you say that if I have the interval X=[3.5, 3.7], and I'm interested in what possibilities there are for sin(floor(X)), then really there is only one possibility (however, it still makes sense to me to return an interval [sin(3), sin(3)]). You bring up that the real stickler of a question is something like: in the case that I have the interval X=[2.5, 4.5], what should sin(floor(X)) return? Maybe we should have a discrete version of interval objects, so I would get a list of values [sin(2), sin(3), sin(4)]? When we're trying to work with a function which takes a continuous range and maps it onto a discrete set of points, maybe we should be converting to a discrete version of interval arithmetic, i.e., a list of values that we treat like a "discrete interval". Jason -- Jason Grout --~--~---------~--~----~------------~-------~--~----~ To post to this group, send an email to sage-devel@googlegroups.com To unsubscribe from this group, send an email to sage-devel-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
