File:Exponential Function Modulus.png
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DescriptionExponential Function Modulus.png |
Diagram of the modulus of the exponential function in the complex plane. The plot is given by: |
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Date | ||||
Source | Own drawing, Plotted in MuPAD, code given below. | |||
Author | Inductiveload | |||
Permission (Reusing this file) |
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Other versions | See Exponential function for related graphics. |
MuPAD Code[edit]
q := abs(exp(x+I*y)): conts := 10: projectionlevel:=-5: ylimit := 2*PI: xlimit := 3: submeshlevel := 3: colourfunc := zip(RGB::CadmiumYellow, RGB::SlateBlueDark, (a, b) -> (q(x,y)+0)/(10)*a -(q(x,y)-10)/(10)*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 = colourfunc, AxesTitleFont = ["Courier New", Bold, 14], ViewingBoxZRange = -5..10, YTicksNumber = None, YTicksAt = [-3*PI/2 = "-3 PI/2", -PI = "-PI", -PI/2 = "-PI/2", -2*PI = "-2 PI", 0 = "0", PI/2 = "PI/2", PI = "PI", 3*PI/2 = "3 PI/2", 2*PI = "2 PI"] ): contours := plot::modify(funcplot, ZContours = [$ 0..10 step 0.5], 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 = [$ 0..10 step 0.5], LineWidth = 0.2, LineColorType = Dichromatic, LineColor = RGB::CadmiumYellow.[0.99], LineColor2 = RGB::DarkBlue.[0.99], XLinesVisible = FALSE, YLinesVisible = FALSE, Filled = FALSE ) ): camera := plot::Camera([-40, -120, 100], [-0.5, -1, 3], 0.1 ): 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 | 20:51, 25 April 2007 | 1,700 × 1,400 (628 KB) | Inductiveload (talk | contribs) | {{Information |Description=Diagram of the modulus of the exponential function in the complex plane. The plot is given by: ::<math>z=| \exp \left( \frac{1}{x + i y} \right) |</math> |Source=Own drawing, Plotted in MuPAD, code given below. |Date=25/04/2007 |
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