📄 splint3.ma
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z1[x_]:=1/6(4-6 x^2+3 x^3);z2[x_]:=1/6(2-x)^3;spl[x_ /; Abs[x] <= 1]:= z1[Abs[x]];spl[x_ /; Abs[x] > 1 && Abs[x] <= 2] := z2[Abs[x]];spl[x_ /; Abs[x] > 2] := 0;splf[w_]:= 2(Integrate[Cos[w x] z1[x],{x,0,1}]+Integrate[Cos[w x] z2[x],{x,1,2}]);Plot[spl[x], {x, -6, 6}, PlotStyle -> {Thickness[0.01]}, Frame -> True, FrameLabel -> {None, None, "B-spline Representation: B-3",None}];Plot[splf[w],{w,-2Pi,2Pi},PlotStyle->{Thickness[0.01]}, Frame->True, FrameLabel->{None,None,"Spectrum",None}];Show[GraphicsArray[{%%,%}]];Display["junk_ma.eps",%,"EPS",ImageSize->648];
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