📄 sixth.ma
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<<Graphics`Legend`;r[k_,b_]:=-Sin[k]^2/(1-4 b Sin[k]^2);Plot[{ 4 r[k/2,0], 4 r[k/2,1/12], 4 r[k/2,0.122996], -k^2, 4 r[k/2,0.148679]}, {k,0,Pi},PlotRange->All, FrameTicks->{Automatic,Automatic, None, None}, PlotRange->All, FrameLabel->{"wavenumber",None,None,None}, GridLines->Automatic, Frame->True, PlotStyle->{ {AbsoluteThickness[2],Dashing[{0.01}]}, {AbsoluteThickness[2],Dashing[{0.03,0.03}]}, {AbsoluteThickness[2],Dashing[{0.03,0.03,0.01}]}, AbsoluteThickness[2], {AbsoluteThickness[2],Dashing[{0.06}]}}, PlotLegend->{"beta=0","beta=1/12","beta=1/8.13","exact","beta=1/6.73"}, LegendPosition->{-0.7,-0.4}, LegendSize->{0.9,0.5}, PlotLabel->"Second Derivative Approximations"];Display["junk_ma.eps",%,"EPS"];
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