Image:Weierstrass.png
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Weierstrass.png (487 × 368 pixels, file size: 15 KB, MIME type: image/png)
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[edit] Summary
| Description |
English: The graph of a function f(x) (black) and its generalized Weierstrass transforms for t=0.2 (red), t=1 (green) and t=3 (blue). The standard Weierstrass transfrom F(x) is the case t=1, the green graph.
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| Source |
Own work by uploader |
| Date |
May 2008 |
| Author | |
| Permission (Reusing this image) |
see below |
File was created with the following Maple 6 code:
> W := (f,t,x) -> 1/sqrt(4*t*Pi)*int(f(x-y)*exp(-y^2/4/t),y=-infinity..infinity);
> f:= x-> piecewise(x<0 or x>10,0,x<5,5,5-2*(x-5));
> plotsetup(ps,plotoutput=`weierstrass.ps`,
plotoptions=`width=8in,height=6in,portrait,color,noborder`);
> plot([f(x),W(f,0.2,x),W(f,1,x),W(f,3,x)],x=-10..20,
axes=boxed,color=[black,red,green,blue],thickness=[2,3,3,3]);
and then converted from Postscript to PNG using GraphicsMagic.
[edit] Licensing:
 |
I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide. In case this is not legally possible: Afrikaans | Alemannisch | Aragonés | العربية | Asturianu | Български | Català | Česky | Cymraeg | Dansk | Deutsch | Eʋegbe | Ελληνικά | English | Español | Esperanto | Euskara | Estremeñu | فارسی | Français | Galego | 한국어 | हिन्दी | Hrvatski | Ido | Bahasa Indonesia | Íslenska | Italiano | עברית | Kurdî / كوردی | Latina | Lietuvių | Latviešu | Magyar | Македонски | Bahasa Melayu | Nederlands | Norsk (bokmål) | Norsk (nynorsk) | 日本語 | Polski | Português | Ripoarisch | Română | Русский | Shqip | Slovenčina | Slovenščina | Српски / Srpski | Svenska | ไทย | Tagalog | Türkçe | Українська | Tiếng Việt | Walon | 中文(简体) | 中文(繁體) | zh-yue-hant | +/- |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 01:58, 1 June 2008 | 487×368 (15 KB) | AxelBoldt | ( ) |
| 01:24, 1 June 2008 | 487×368 (15 KB) | AxelBoldt | ({{Information |Description={{en|1=The graph of a function ''f''(''x'') (black) and its generalized Weierstrass transforms for ''t''=0.5 (red), ''t''=1 (green) and ''t''=2 (blue). The standard Weierstrass transfrom ''F''(''x'') is the case t=1.}} |Source=O) |
