Keywords: Exponential Function (Abs Imag Part at Infinity).png Diagram of the absolute value of the imaginary part of exponential function in the complex plane as the operand approaches infinity The plot is given by <math>z \bigg \operatorname Im \left \exp \left \frac 1 x + i y \right \right \bigg </math> The green stripe is caused by the plot being done at an insufficient resolution for the extremly and infinitely fine detail near 0 Own drawing Plotted in MuPAD 2007-04-20 Inductiveload MuPAD Code <pre> q abs Im exp 1/ x+I y conts 21 projectionlevel -10 ylimit 1 xlimit 1 submeshlevel 30 zmin 0 zmax 10 color zip RGB Red RGB SapGreen a b -> q x y -zmin / zmax-zmin a + zmax-q x y / zmax-zmin b funcplot plot Function3d q x y x -xlimit xlimit y -ylimit ylimit Mesh 25 25 Submesh submeshlevel submeshlevel LineColor RGB Black 0 4 LineWidth 0 15 FillColorFunction color AxesTitleFont Courier New Bold 14 ViewingBoxZRange -10 10 contours plot modify funcplot ZContours Automatic conts LineWidth 0 2 LineColor RGB Gray90 0 5 XLinesVisible FALSE YLinesVisible FALSE Filled FALSE projcontours plot Transform3d 0 0 projectionlevel 1 0 0 0 1 0 0 0 0 plot modify funcplot ZContours Automatic conts LineWidth 0 2 LineColorType Dichromatic LineColor RGB Red 0 99 LineColor2 RGB Green 0 99 XLinesVisible FALSE YLinesVisible FALSE Filled FALSE camera plot Camera -20 -35 300 0 0 0 0 06 ploteverything plot Canvas funcplot contours projcontours Width 8 5 unit inch Height 7 unit inch camera plot ploteverything </pre> Surface plots of complex exponential function Images with MuPad source code |