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Jun 6, 2017 at 7:01 history edited Mr.Wizard CC BY-SA 3.0
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Jun 6, 2017 at 6:54 history edited Mr.Wizard CC BY-SA 3.0
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Sep 8, 2013 at 15:22 vote accept kjo
Sep 8, 2013 at 15:20 comment added Mr.Wizard @kjo Your right; at first I tried larger values myself but the blue rectangle became invisible when I resized the graphic. I'm afraid Mathematica is ignoring values that are too far out of the specified plot range, or perhaps are too great in magnitude relative to other values. This is worth exploration but I don't have time right now. It would be far better if we could used mixed Scaled coordinates but sadly at this time we cannot.
Sep 8, 2013 at 15:18 comment added kjo ...When I tried such big numbers with your Graphic, the cyan rectangle vanished! In fact, this is the case for any big $> 10^{6.19}$ or so, at least on my hardware, which explains some of my earlier failures (even as it introduces new conundrums, such as why this particular upper limit). Well, at least I've learned that sometimes Mathematica behaves surprisingly parochially in the face of some large numbers! Thanks again!
Sep 8, 2013 at 15:18 comment added kjo Thank you, that's very instructive. Believe it or not, in this answer, the aspect I find most intriguing (both illuminating and baffling at the same time) is your choice "large" values of $y$, because they strike me as surprisingly modest. In one of my many failed attempts to get this to work, I tried the limits [-big, big] with big = Infinity (naively thinking that Mathematica would surely be hip to this), and when that failed, the more pedestrian big = $MaxMachine, which also failed...
Sep 8, 2013 at 14:26 history edited Mr.Wizard CC BY-SA 3.0
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Sep 8, 2013 at 14:16 history answered Mr.Wizard CC BY-SA 3.0