File:Circle area Monte Carlo integration2.svg
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Original file (SVG file, nominally 723 × 723 pixels, file size: 188 KB)
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Summary
| Description | calculation of pi via monte carlo methods |
| Date | |
| Source | with R (source below) directly to SVG and the inkscape to polish it a bit (numbers) |
| Author | Thomas Steiner |
| Other versions |
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| SVG development | |
| Source code | R code## for more about SVG, see eg http://www.stat.auckland.ac.nz/~paul/Talks/gridSVG/slide1.html
set.seed(20070209)
n<-1000
pts<-array(runif(2*n, min=-1,max=1),dim=c(n,2))
out <- pts[,1]^2+pts[,2]^2>1
ci<-seq(0,2*pi,length=300)
circle<-array(dim=c(300,2))
circle[,1]=cos(ci)
circle[,2]=sin(ci)
library(RSvgDevice)
devSVG("Circle_area_Monte_Carlo_integration2.svg", width=10, height=10)
plot(pts[out,],type="n",axes=F,xaxs="i",xlim=c(-1,1),ylim=c(-1,1),xlab="",ylab="")
polygon(circle,col="lightgray")
lines(pts[!out,],type="p",col="darkgreen")
lines(pts[out,],type="p",col="red")
lines(c(1,-1,-1,1,1),c(1,1,-1,-1,1),col="black",lwd=2)
text(x=0.8,y=-0.9,sum(out),col="red",cex=5)
text(x=0,y=-0.9,(n-sum(out)),col="darkgreen",cex=5)
#ev noch dazuschreiben, was der quotient ist?
4*(1-sum(out)/n)-pi
dev.off()
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 23:08, 9 February 2007 | | 723 × 723 (188 KB) | Thire | {{Information| |Description = calculation of pi via monte carlo methods |Source = with R (source below) directly to SVG and the inkscape to polish it a bit (numbers) |Date = 9 feb. 2007 |Author = Thomas Steiner |Permission = [[:de:B |
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