Keywords: Exponential Function (Abs Real Part at Infinity).png Diagram of the absolute value real part of exponetial function in the complex plane as the operand approaches infinity The plot is given by <math>z \bigg \operatorname Re \left \exp \left \frac 1 x + i y \right \right \bigg </math> Own drawing Plotted in MuPAD 2007-04-20 Inductiveload MuPAD Code <pre> q abs Re exp 1/ x+I y conts 21 projectionlevel -10 ylimit 1 xlimit 1 submeshlevel 30 zmin 0 zmax 10 color zip RGB AliceBlue RGB DarkBlue 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 23 23 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 SteelBlueLight 0 99 LineColor2 RGB NavyBlue 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 |