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graphing strange stuff
We have a bunch of programs using interval arithmetic "RealInterval" in mathematica that produce "correct" plots of interesting functions that have discontinuities. It relies on the system computing intervals correctly, something that Mathematica does not do without a lot of help. The graphs use rectangles instead of line segments. A paper on this subject was submitted to ISSAC-92, a conference readers of this group may be interesting in learning more about... ISSAC = International Symposium on Symbolic and Algebraic Computation. July 27-29 in Berkeley. .. Richard Fateman [I asked Riichard about the availability of his programs. -smc] The programs are in Mathematica (2.0); I am not sufficiently proud of them as to widely distribute them; if someone wants to improve on them, I'll share them, but I am a bit leary of posting them and thereby attracting bug reports. And there will be bugs because Mathematica does not do RealInterval[..] well. Almost every function I've used has had to be patched.