File:Exponential Function Argument.png
From Wikimedia Commons, the free media repository
Jump to navigation
Jump to search
![File:Exponential Function Argument.png](https://upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Exponential_Function_Argument.png/728px-Exponential_Function_Argument.png?20070425195427)
Size of this preview: 728 × 600 pixels. Other resolutions: 292 × 240 pixels | 583 × 480 pixels | 933 × 768 pixels | 1,244 × 1,024 pixels | 1,700 × 1,400 pixels.
Original file (1,700 × 1,400 pixels, file size: 593 KB, MIME type: image/png)
File information
Structured data
Captions
Captions
Add a one-line explanation of what this file represents
DescriptionExponential Function Argument.png |
Diagram of the argument of the exponential function in the complex plane. The plot is given by: |
|||
Date | ||||
Source | Own drawing, Plotted in MuPAD, code given below. | |||
Author | Inductiveload | |||
Permission (Reusing this file) |
|
|||
Other versions | See Exponential function for related graphics. |
MuPAD Code
[edit]q := arg(exp(x+I*y)): conts := 10: projectionlevel:=-5: ylimit := 2*PI: xlimit := 3: submeshlevel := 0: colourfunc := zip(RGB::VenetianRed, RGB::DarkBlue, (a, b) -> (q(x,y)+PI)/(6)*a -(q(x,y)-PI)/(6)*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, AdaptiveMesh = 10, FillColorFunction = colourfunc, AxesTitleFont = ["Courier New", Bold, 14], ViewingBoxZRange = -5..PI, 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"], ZTicksNumber = None, ZTicksAt = [-PI = "-PI", -PI/2 = "-PI/2", 0 = "0", PI/2 = "PI/2", PI = "PI"] ): contours := plot::modify(funcplot, ZContours = [$ -3.14..3.14 step 0.7853], 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 = [$ -3.14..3.14 step 0.7853], LineWidth = 0.2, LineColorType = Dichromatic, LineColor = RGB::VenetianRed.[0.99], LineColor2 = RGB::DarkBlue.[0.99], XLinesVisible = FALSE, YLinesVisible = FALSE, Filled = FALSE ) ): camera := plot::Camera([-40, -120, 60], [-0.5, -1, -0.5], 0.1 ): ploteverything := plot::Canvas(funcplot, contours, projcontours, Width = 8.5*unit::inch, Height = 7*unit::inch, camera ): plot(ploteverything)
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 19:54, 25 April 2007 | ![]() | 1,700 × 1,400 (593 KB) | Inductiveload (talk | contribs) | {{Information |Description=Diagram of the argument of the exponential function in the complex plane. The plot is given by: ::<math>z=\operatorname{arg} \left (\exp \left( \frac{1}{x + i y} \right)\right)</math> |Source=Own drawing, Plotted in MuPAD, code |
You cannot overwrite this file.
File usage on Commons
The following page uses this file:
File usage on other wikis
The following other wikis use this file:
- Usage on en.wikibooks.org
- Usage on fr.wikipedia.org
- Usage on ja.wikipedia.org