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PDF-PiecewiseCubicApprox.Wewillconsiderthreepossibilities.PiecewiseCubicIn PDF document

PiecewiseCubicHermiteDenePi3xtobetheuniquecubicpolynomialassociatedwithxi1xisuchthatPi3xi1fi1P0i3xi1f0i1Pi3xifiandP0i3xif0iTheresultingSxwillbecontinuousanddiffe

PiecewiseCubicHermiteDenePi;3(x)tobetheuniquecubicpolynomialassociatedwith[xi1;xi]suchthatPi;3(xi1)=fi1;P0i;3(xi1)=f0i1 Pi;3(xi)=fiandP0i;3(xi)=f0i.TheresultingS(x)willbecontinuousanddiffe

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