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Re: For a variety of plotting experiences, maybe bugs?

On 1/9/12 at 3:20 AM, fateman at (Richard Fateman)

>My interest was whether the numerical subroutine reflected the
>mathematical functions and were appropriately monotonic in small
>ranges.  Looking "microscopically" one expects to see some kind of
>step function, but if poorly implemented there may be some
>reversals-- i.e. local extrema-- that are not mathematically
>justified, but are effects of the implemented algorithm, roundoff,

Then why not make use of the package ComputerArithmetic which
comes with Mathematica? Among other things this package includes
the functions MicroscopePlot ad MicroscopicErrorPlot which look
like they are designed for what you seem to have in mind. And if
these functions aren't quite what you need/want it shouldn't be
too difficult to modify the code in this package to be what you need/want.

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