File:Exponential Function (Abs Imag Part at Infinity).png
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DescriptionExponential 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: |
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Date | ||||
Source | Own drawing, Plotted in MuPAD | |||
Author | Inductiveload | |||
Permission (Reusing this file) |
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MuPAD Code edit
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)
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 14:36, 22 April 2007 | 1,700 × 1,400 (534 KB) | Inductiveload (talk | contribs) | {{Information |Description=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} \ |
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