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I have the following DensityPlot:

DensityPlot[Sin[x] Sin[y], {x, -Pi/4, Pi/4}, {y, -Pi/4, Pi/4}, ColorFunction -> "SunsetColors", PlotLegends -> Automatic]

enter image description here

Now I want to see only the values of density along the function "y = 1/2 (ArcCos[1 - Cos[2 x]])". I had the idea to use a KroneckerDelta as following but it does not work !

X[x_, y_] = KroneckerDelta[1/2 (ArcCos[1 - Cos[2 x]]), y]

DensityPlot[Sin[x] Sin[y]*X[x, y], {x, -Pi/4, Pi/4}, {y, -Pi/4, Pi/4},ColorFunction -> "SunsetColors", PlotLegends -> Automatic]

enter image description here

Any idea why this is not working and how to rectify ?

Thank you for your time !

Geoff

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  • $\begingroup$ DensityPlot is not meant to be used for drawing curves. $\endgroup$ – shrx Mar 27 '15 at 10:55
  • $\begingroup$ Since KroneckerDelta is in effect "infinitely thin," DensityPlot can't locate where it is nonzero. $\endgroup$ – 2012rcampion Mar 27 '15 at 13:20
  • $\begingroup$ Ok I understand the problem ! $\endgroup$ – Geoff Hudson Mar 27 '15 at 17:26
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If you want a curve whose shape is determined by y = 1/2 (ArcCos[1 - Cos[2 x]]) and whose color is determined by Sin[x] Sin[y], you may use

Plot[1/2 (ArcCos[1 - Cos[2 x]]), {x, -\[Pi]/4, \[Pi]/4}, 
ColorFunction -> Function[{x, y}, ColorData["SunsetColors"][Sin[x] Sin[y]]]]

enter image description here

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