R version 2.8.0 (2008-10-20) Copyright (C) 2008 The R Foundation for Statistical Computing ISBN 3-900051-07-0 R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > par20 = '' > par19 = '' > par18 = '' > par17 = '' > par16 = '' > par15 = '' > par14 = '' > par13 = '' > par12 = '' > par11 = '' > par10 = '' > par9 = '' > par8 = '' > par7 = '' > par6 = '' > par5 = '' > par4 = '' > par3 = '' > par2 = '0.5' > par1 = '500' > ylab = '' > xlab = '' > main = '' > n <- as.numeric(par1) > p <- as.numeric(par2) > heads=rbinom(n-1,1,p) > a=2*(heads)-1 > b=diffinv(a,xi=0) > c=1:n > pheads=(diffinv(heads,xi=.5))/c > postscript(file="/var/www/html/rcomp/tmp/19bew1227988616.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > op=par(mfrow=c(2,1)) > plot(c,b,type='n',main='Law of Averages',xlab='Toss Number',ylab='Excess of Heads',lwd=2,cex.lab=1.5,cex.main=2) > lines(c,b,col='red') > lines(c,rep(0,n),col='black') > plot(c,pheads,type='n',xlab='Toss Number',ylab='Proportion of Heads',lwd=2,cex.lab=1.5) > lines(c,pheads,col='blue') > lines(c,rep(.5,n),col='black') > par(op) > dev.off() null device 1 > b [1] 0 1 0 -1 -2 -1 -2 -1 -2 -3 -2 -3 -2 -1 -2 -3 -2 -3 [19] -4 -3 -2 -3 -2 -1 -2 -1 -2 -3 -2 -1 -2 -1 -2 -3 -2 -3 [37] -4 -5 -6 -7 -6 -7 -6 -5 -6 -7 -6 -5 -6 -7 -8 -9 -10 -11 [55] -12 -11 -10 -9 -8 -7 -8 -7 -6 -5 -6 -7 -8 -9 -8 -9 -8 -9 [73] -8 -7 -8 -9 -8 -7 -8 -7 -8 -9 -8 -7 -8 -9 -10 -9 -8 -7 [91] -6 -5 -4 -5 -6 -5 -6 -5 -4 -3 -4 -5 -6 -5 -4 -5 -6 -5 [109] -6 -5 -6 -7 -6 -7 -8 -7 -8 -9 -8 -7 -8 -9 -10 -9 -10 -9 [127] -8 -7 -6 -7 -8 -9 -10 -11 -12 -13 -12 -11 -10 -9 -8 -9 -10 -11 [145] -12 -11 -10 -9 -10 -11 -10 -11 -12 -13 -14 -15 -14 -15 -16 -15 -16 -15 [163] -16 -17 -16 -17 -16 -15 -16 -15 -16 -15 -16 -17 -16 -17 -18 -19 -18 -19 [181] -20 -21 -20 -19 -20 -19 -20 -19 -20 -19 -20 -19 -20 -19 -20 -19 -20 -21 [199] -20 -19 -20 -21 -22 -23 -22 -21 -22 -23 -24 -23 -22 -21 -22 -21 -20 -19 [217] -18 -17 -16 -17 -18 -19 -18 -17 -18 -19 -20 -21 -22 -21 -22 -23 -22 -21 [235] -22 -23 -22 -23 -24 -23 -22 -21 -22 -21 -22 -21 -22 -23 -22 -23 -22 -21 [253] -20 -21 -22 -21 -22 -23 -24 -23 -22 -23 -24 -25 -24 -25 -24 -25 -24 -25 [271] -26 -27 -26 -25 -26 -27 -28 -27 -28 -29 -30 -31 -32 -31 -30 -29 -28 -29 [289] -30 -29 -30 -31 -32 -31 -32 -33 -34 -35 -36 -37 -38 -39 -38 -37 -38 -39 [307] -38 -37 -38 -37 -38 -39 -38 -37 -36 -37 -36 -37 -36 -35 -34 -33 -34 -33 [325] -34 -33 -32 -31 -30 -31 -32 -31 -30 -29 -28 -27 -28 -27 -26 -27 -28 -29 [343] -30 -31 -30 -29 -30 -31 -32 -33 -34 -33 -34 -35 -34 -33 -34 -33 -34 -33 [361] -32 -31 -30 -31 -30 -29 -30 -29 -30 -29 -30 -31 -30 -31 -32 -31 -30 -31 [379] -32 -31 -30 -31 -30 -31 -32 -31 -30 -29 -30 -29 -28 -27 -26 -27 -28 -27 [397] -28 -27 -26 -27 -28 -29 -30 -29 -28 -27 -28 -27 -26 -25 -26 -25 -26 -25 [415] -24 -23 -22 -23 -24 -25 -24 -25 -24 -25 -26 -27 -26 -27 -28 -27 -28 -27 [433] -26 -27 -26 -27 -26 -25 -24 -23 -22 -23 -24 -25 -24 -25 -24 -23 -24 -23 [451] -22 -21 -22 -21 -22 -23 -22 -23 -24 -23 -24 -23 -24 -23 -22 -23 -24 -23 [469] -22 -23 -22 -21 -22 -23 -24 -23 -22 -23 -24 -25 -26 -25 -26 -27 -28 -27 [487] -28 -29 -28 -27 -28 -29 -30 -29 -28 -29 -28 -27 -28 -29 > x <- b > postscript(file="/var/www/html/rcomp/tmp/26chk1227988616.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > r <- spectrum(x,main='Raw Periodogram') > dev.off() null device 1 > r $freq [1] 0.002 0.004 0.006 0.008 0.010 0.012 0.014 0.016 0.018 0.020 0.022 0.024 [13] 0.026 0.028 0.030 0.032 0.034 0.036 0.038 0.040 0.042 0.044 0.046 0.048 [25] 0.050 0.052 0.054 0.056 0.058 0.060 0.062 0.064 0.066 0.068 0.070 0.072 [37] 0.074 0.076 0.078 0.080 0.082 0.084 0.086 0.088 0.090 0.092 0.094 0.096 [49] 0.098 0.100 0.102 0.104 0.106 0.108 0.110 0.112 0.114 0.116 0.118 0.120 [61] 0.122 0.124 0.126 0.128 0.130 0.132 0.134 0.136 0.138 0.140 0.142 0.144 [73] 0.146 0.148 0.150 0.152 0.154 0.156 0.158 0.160 0.162 0.164 0.166 0.168 [85] 0.170 0.172 0.174 0.176 0.178 0.180 0.182 0.184 0.186 0.188 0.190 0.192 [97] 0.194 0.196 0.198 0.200 0.202 0.204 0.206 0.208 0.210 0.212 0.214 0.216 [109] 0.218 0.220 0.222 0.224 0.226 0.228 0.230 0.232 0.234 0.236 0.238 0.240 [121] 0.242 0.244 0.246 0.248 0.250 0.252 0.254 0.256 0.258 0.260 0.262 0.264 [133] 0.266 0.268 0.270 0.272 0.274 0.276 0.278 0.280 0.282 0.284 0.286 0.288 [145] 0.290 0.292 0.294 0.296 0.298 0.300 0.302 0.304 0.306 0.308 0.310 0.312 [157] 0.314 0.316 0.318 0.320 0.322 0.324 0.326 0.328 0.330 0.332 0.334 0.336 [169] 0.338 0.340 0.342 0.344 0.346 0.348 0.350 0.352 0.354 0.356 0.358 0.360 [181] 0.362 0.364 0.366 0.368 0.370 0.372 0.374 0.376 0.378 0.380 0.382 0.384 [193] 0.386 0.388 0.390 0.392 0.394 0.396 0.398 0.400 0.402 0.404 0.406 0.408 [205] 0.410 0.412 0.414 0.416 0.418 0.420 0.422 0.424 0.426 0.428 0.430 0.432 [217] 0.434 0.436 0.438 0.440 0.442 0.444 0.446 0.448 0.450 0.452 0.454 0.456 [229] 0.458 0.460 0.462 0.464 0.466 0.468 0.470 0.472 0.474 0.476 0.478 0.480 [241] 0.482 0.484 0.486 0.488 0.490 0.492 0.494 0.496 0.498 0.500 $spec [1] 4.236811e+03 1.367910e+03 8.396404e+02 1.937108e+02 3.158161e+02 [6] 8.028135e+01 7.270806e+01 2.476813e+02 2.027468e+01 8.696914e+00 [11] 2.809467e+01 1.547448e+01 1.117255e+02 1.189340e+01 5.364914e+00 [16] 1.140202e+01 1.517787e+01 3.090756e+01 5.291076e+00 6.232356e+01 [21] 3.901256e+01 2.875285e+00 5.802038e+00 4.827206e+00 1.493657e+00 [26] 1.758067e+00 3.950280e+00 1.650317e+01 7.901366e+00 1.176585e+00 [31] 9.431827e+00 7.489592e+00 1.247657e+01 2.280798e+00 2.254893e+00 [36] 5.816788e+00 2.854098e+00 2.810431e+00 2.697983e-01 1.282469e+00 [41] 4.787152e-02 1.973980e+00 7.366876e+00 2.922516e+00 2.778215e+00 [46] 1.439700e-01 1.572142e-01 8.493313e+00 2.917667e+00 1.752434e+00 [51] 4.515542e+00 2.676746e+00 4.823485e+00 1.938800e+00 7.885264e-02 [56] 2.875379e-01 3.652789e+00 4.980149e+00 3.848597e+00 6.053808e-01 [61] 4.276290e-01 1.014595e-01 2.911925e+00 5.328839e-01 1.315897e+00 [66] 1.082787e-01 2.210018e-02 2.402025e-02 3.540117e-01 1.282096e+00 [71] 1.587313e+00 3.561740e+00 1.445088e-02 2.858784e+00 9.017652e-01 [76] 3.417220e-01 9.156114e-01 6.520052e-01 1.922292e-01 9.087266e-01 [81] 1.105996e+00 7.535991e-01 5.921902e+00 2.632353e+00 2.430596e+00 [86] 9.166576e-01 2.829526e-03 2.103428e+00 6.245642e-01 5.003000e-01 [91] 2.036170e+00 1.133660e-01 2.350740e-01 1.010460e+00 1.743830e+00 [96] 1.626361e+00 3.635743e-01 7.372901e-01 1.466688e+00 1.542849e-01 [101] 5.495519e-02 1.642613e+00 3.521225e-01 2.473395e-01 9.495250e-01 [106] 6.388266e-01 1.008381e-01 2.083048e-01 4.206549e-01 1.183423e+00 [111] 1.167862e+00 6.438698e-02 6.456436e-01 2.775926e-01 7.314164e-01 [116] 9.592645e-02 2.427569e-01 9.979455e-01 7.227873e-02 2.194149e-01 [121] 1.099698e+00 5.874452e-01 1.531300e-01 2.032848e-01 8.525492e-01 [126] 8.534966e-01 3.997860e-01 4.303492e-01 4.084913e-01 2.054486e-01 [131] 2.168177e-01 1.094925e+00 6.118623e-05 4.180548e-01 1.059548e-03 [136] 2.539194e-01 1.345105e+00 2.516835e-02 1.331454e-02 4.001850e-01 [141] 9.068540e-02 9.904787e-01 1.020188e+00 8.061404e-01 2.776145e-01 [146] 6.286458e-01 1.416920e+00 3.118118e-02 2.312227e-02 7.200793e-01 [151] 2.312526e-01 3.904403e-01 4.115059e-02 1.012588e-01 1.390966e-01 [156] 5.369265e-01 1.226890e+00 4.569897e-01 2.088036e-03 2.252671e-01 [161] 7.939186e-01 2.297616e-02 6.915630e-01 2.116806e-01 1.077991e+00 [166] 8.666349e-01 3.533831e-01 3.768673e-02 5.143932e-01 2.823695e-02 [171] 1.438794e-01 2.748439e-01 3.239697e-01 3.587037e-02 1.448144e-02 [176] 2.508694e-01 1.386484e-02 1.547845e-02 2.215940e-01 8.515840e-01 [181] 5.428725e-02 4.440552e-01 1.937580e-01 4.746182e-01 4.713024e-01 [186] 2.385512e-01 3.434833e-02 1.205069e-01 9.668167e-02 1.040191e-01 [191] 7.551301e-02 3.386493e-01 4.022301e-01 3.788827e-01 3.724906e-01 [196] 3.655240e-01 4.171733e-01 4.570307e-02 7.223836e-02 6.191853e-02 [201] 8.094268e-02 1.052148e+00 2.071595e-01 4.044789e-01 8.181359e-03 [206] 1.996949e-01 6.407656e-01 1.237620e-01 5.075182e-01 2.959132e-01 [211] 1.108626e-01 1.852311e-01 2.213948e-01 3.427525e-01 2.206641e-02 [216] 3.536915e-03 6.671828e-01 2.953244e-01 6.815153e-01 8.044905e-01 [221] 3.414849e-01 9.762969e-02 2.663779e-01 1.478906e-01 2.367937e-01 [226] 1.832130e-01 7.066862e-01 5.382499e-01 2.118889e-01 1.912817e-01 [231] 1.826742e-01 2.330906e-01 3.603740e-02 7.770748e-02 3.293958e-01 [236] 3.259548e-02 1.277254e-01 3.212102e-01 2.036707e-01 2.966845e-01 [241] 4.633026e-01 1.000500e-01 1.631936e-01 8.677466e-02 3.463419e-01 [246] 2.243688e-01 9.947196e-02 8.598209e-02 8.663578e-02 8.891977e-01 $coh NULL $phase NULL $kernel NULL $df [1] 1.791590 $bandwidth [1] 0.0005773503 $n.used [1] 500 $orig.n [1] 500 $series [1] "x" $snames NULL $method [1] "Raw Periodogram" $taper [1] 0.1 $pad [1] 0 $detrend [1] TRUE $demean [1] FALSE attr(,"class") [1] "spec" > postscript(file="/var/www/html/rcomp/tmp/3tmj91227988616.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > cpgram(x,main='Cumulative Periodogram') > dev.off() null device 1 > > system("convert tmp/19bew1227988616.ps tmp/19bew1227988616.png") > system("convert tmp/26chk1227988616.ps tmp/26chk1227988616.png") > system("convert tmp/3tmj91227988616.ps tmp/3tmj91227988616.png") > > > proc.time() user system elapsed 0.849 0.621 1.433