File:Convex Function.png
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Original file (1,200 × 800 pixels, file size: 10 KB, MIME type: image/png)
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File:Convex Function.svg is a vector version of this file. It should be used in place of this PNG file.
File:Convex Function.png → File:Convex Function.svg
For more information, see Help:SVG.
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DescriptionConvex Function.png | graph of a convex function (which? see the source code) |
Date | |
Source | created with GNU R, see source below. I tried somehow to replicate the image mentioned in "other versions" |
Author | Thomas Steiner |
Permission (Reusing this file) |
Thomas Steiner put it under the CC-by-SA 2.5. |
Other versions | , |
This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
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- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
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Read at User_talk:AtonX#SVG_of_convex_function, why I prefer the .png to the .svg
R-source code:
from=-0.9 to=2.05 a=seq(from,to,length=100) con<-function(p) { p^2+0.1 } png(filename="Convex_Function.png", width=1200, height=800, pointsize=12) par(lwd=2,bg="whitesmoke",font=3) plot(a,con(a),type="l",col="navy",lwd=3,xlab="",ylab="", axes=FALSE) st=par("usr")[1]+0.06 ady=c(-0.2,-0.5) adx=c(1.25,-0.75) x=-0.7 y=1.98 t=0.3 z=x*t+y*(1-t) m=((con(y)-con(x))/(y-x))*z + con(x)-((con(y)-con(x))/(y-x))*x sz=3.2 ##gerade lines(c(x,y),c(con(x),con(y)),col="magenta",lwd=3) ## x lines(c(x,x),c(0,con(x)),type="l",lty=2,col="grey") text(x,0,labels="x",adj=adx,cex=sz) lines(c(st,x),c(con(x),con(x)),col="darkgrey",lty=2) text(st,con(x),labels="f(x)",adj=ady,cex=sz) lines(x,con(x),type="p",lwd=3,col="red") ## y lines(c(y,y),c(0,con(y)),type="l",lty=2,col="grey") text(y,0,labels="y",adj=adx,cex=sz) lines(c(st,y),c(con(y),con(y)),col="darkgrey",lty=2) text(st,con(y),labels="f(y)",adj=ady,cex=sz) lines(y,con(y),type="p",lwd=3,col="red") ## zwischenstelle z lines(c(z,z),c(0,con(z)),type="l",lty=2,col="grey") text(z+0.2,0,labels="tx+(1-t)y",adj=adx,cex=sz) lines(c(st,z),c(con(z),con(z)),col="darkgrey",lty=2) lines(c(z,z),c(0,m),type="l",lty=2,col="darkgrey") lines(c(st,z),c(m,m),col="grey",lty=2) text(st-0.13,con(z),labels="f( tx+(1-t)y )",adj=ady,cex=sz) text(st-0.13,m,labels="t f(x) + (1-t) f(y)",adj=ady,cex=sz) lines(z,con(z),type="p",lwd=3,col="red") lines(z,m,type="p",lwd=3,col="red") arrows(st-0.05,0.05,par("usr")[2]-0.05,0.05) arrows(st,0,st,par("usr")[4]) dev.off()
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 11:19, 2 December 2006 | 1,200 × 800 (10 KB) | Thire (talk | contribs) | now the new image | |
15:35, 27 November 2006 | 1,200 × 800 (10 KB) | Thire (talk | contribs) | now the file... | ||
14:52, 25 November 2006 | 1,200 × 800 (8 KB) | Thire (talk | contribs) | better version | ||
15:56, 15 November 2006 | 1,024 × 768 (8 KB) | Thire (talk | contribs) | {{Information| |Description = graph of a convex function (which? see the source code) |Source = created with GNU R, see source below. I tried somehow to replicate the image mentioned in "other versions" |Date = 14 nov. 2006 |Author = [[:de:Benutzer:Thire| |
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