       How smooth graphs?

• To: mathgroup at smc.vnet.net
• Subject: [mg61385] How smooth graphs?
• From: Murray Eisenberg <murray at math.umass.edu>
• Date: Mon, 17 Oct 2005 02:29:54 -0400 (EDT)
• Organization: Mathematics & Statistics, Univ. of Mass./Amherst
• Sender: owner-wri-mathgroup at wolfram.com

```A colleague, L.J. Moffitt, asked me how the graphs produced by the
following code might be smoothed so as to avoid the jaggedness,
especially the "staircasing".

(This is going to be projected, and at a typical projection resolution
of 1024 x 768, it looks even worse.)

I tried all sorts of ploys, like drastically increasing PlotPoints and
PlotDivision; lowering the Thickness in PlotStyle; and even breaking up
the domain into two subintervals, one where the graph is more level and
the other where the graph is rising rapidly.  Nothing seemed to help.

p[x_, L_] := (50.*L)/((1000. - 1.*x)*(-9.025*^8 + L + 1000.*x^2))

<<Graphics`Animation`

Animate[
Plot[p[x,L],{x, 0, 950},
PlotStyle->{AbsoluteThickness},
PlotRange->{.1,.7},
AxesLabel->{"Inspection Rate","Robustness"},
PlotPoints->10000, PlotDivision->50,
AxesStyle->{RGBColor[0,0,1],Thickness[0.02]},
ImageSize->600,
Background->RGBColor[.1,.2,.7]],
{L,1000000000., 1000000000.+700000000., 10000000}]

Any suggestions that I might pass along to him?

--
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305

```

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