R version 2.8.0 (2008-10-20)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> 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/1128g1227718260.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  2  1  2  1  2  1  0 -1  0 -1  0  1  0  1  2  3  2  1  0  1  0 -1  0
 [26] -1  0  1  2  3  4  5  6  7  8  7  8  7  8  9 10 11 12 13 12 11 12 13 14 13
 [51] 14 13 14 13 14 13 14 15 14 13 12 13 14 15 16 17 16 15 14 13 12 11 10  9  8
 [76]  9  8  9 10  9  8  9 10 11 12 13 14 13 12 13 12 13 14 13 14 15 16 15 16 15
[101] 16 17 16 17 18 17 16 15 16 15 16 15 16 17 18 19 18 19 18 17 18 17 16 17 18
[126] 17 18 19 20 19 18 17 18 17 16 17 16 15 14 15 14 15 16 17 16 17 18 17 18 19
[151] 18 19 18 17 18 19 18 19 18 17 18 19 18 19 18 19 18 19 20 19 20 21 22 23 24
[176] 25 24 23 24 25 26 27 28 27 26 27 26 25 26 25 24 23 24 25 26 27 26 27 28 27
[201] 26 27 28 27 28 29 30 29 30 29 28 27 26 27 26 25 26 25 24 23 24 25 26 27 28
[226] 27 26 25 26 27 28 29 28 29 30 29 28 29 30 29 28 27 28 27 28 27 28 27 26 25
[251] 24 23 24 23 24 25 26 27 26 27 28 27 26 27 28 29 30 31 32 33 32 31 32 33 32
[276] 31 30 31 32 33 32 31 32 33 32 31 32 33 32 33 32 31 30 29 28 27 28 29 30 31
[301] 30 29 30 31 30 31 30 29 30 29 28 27 28 29 30 31 30 31 30 31 30 31 32 33 32
[326] 31 32 33 34 35 34 35 34 35 36 35 34 33 32 31 30 29 30 29 28 29 28 27 28 27
[351] 28 27 26 25 24 23 24 23 22 23 24 23 24 25 26 27 28 27 26 27 28 29 30 29 28
[376] 27 26 25 24 23 22 23 24 23 22 23 24 23 22 23 24 25 24 25 24 23 22 21 20 21
[401] 22 23 22 21 20 19 18 17 18 19 20 21 22 21 20 21 22 23 24 23 24 25 24 23 24
[426] 23 22 21 22 21 20 19 20 21 22 21 22 23 22 21 20 21 20 21 22 21 20 21 20 19
[451] 18 19 20 19 20 19 18 17 18 19 20 19 18 19 18 17 18 17 18 19 18 17 16 17 18
[476] 19 20 19 20 21 20 21 22 21 22 21 22 21 22 21 22 23 22 23 22 23 22 23 22 23
> x <- b
> postscript(file="/var/www/html/rcomp/tmp/25gxk1227718260.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] 6.150067e+03 5.865578e+02 2.691038e+02 4.133369e+01 1.657416e+02
  [6] 1.300666e+01 2.087484e+02 1.083021e+02 2.669933e+02 4.618560e+01
 [11] 1.607444e+02 1.566319e+00 4.046830e+00 2.441028e+01 1.896069e+01
 [16] 3.497759e+01 5.372664e+01 5.160110e+01 2.120724e+01 2.988579e+00
 [21] 3.318434e+01 4.180565e+00 2.762967e+01 1.124471e+01 5.615561e+00
 [26] 3.090780e-01 1.182317e+00 9.596318e+00 4.811947e+00 1.554564e+01
 [31] 8.723064e+00 1.483649e+01 3.053237e+00 5.204350e+00 2.958983e+00
 [36] 4.856815e-01 1.911516e+00 9.715500e-01 8.026124e+00 6.087140e-01
 [41] 1.088098e-01 1.362791e+01 1.357866e+00 1.161692e+00 1.016703e+00
 [46] 4.462016e+00 5.324087e+00 2.579262e+00 5.999745e+00 3.806337e+00
 [51] 1.953738e+00 4.886439e+00 1.810377e+00 4.552750e+00 9.014513e-02
 [56] 4.212154e-01 4.866240e+00 4.742242e+00 5.539809e+00 5.701550e-01
 [61] 5.645337e+00 1.242606e+00 1.953315e+00 8.955068e-01 1.670370e-01
 [66] 9.342460e-01 1.965058e+00 6.566925e+00 1.404187e+00 1.180790e+00
 [71] 1.225166e+00 2.799332e+00 2.991034e-01 2.042455e-01 7.359240e-01
 [76] 6.803634e-01 1.190850e+00 1.183118e+00 9.708908e-03 1.056420e+00
 [81] 7.901722e-01 1.869121e+00 1.567592e-01 6.163625e-01 2.336512e-01
 [86] 4.508288e-01 7.166331e-02 1.673838e-01 3.973667e-02 2.353545e-01
 [91] 9.105094e-01 1.775536e-01 2.323709e-02 1.864577e-01 2.727347e-01
 [96] 2.410348e+00 1.526268e+00 8.772491e-01 3.903737e-01 8.322349e-01
[101] 4.383152e-01 1.999620e+00 9.165517e-01 2.644608e-01 3.795173e-01
[106] 6.116267e-01 5.662960e-01 4.803807e-01 2.499459e-03 1.119121e+00
[111] 3.140198e-01 1.399396e+00 1.793469e+00 3.644703e-01 2.104186e+00
[116] 3.748362e-01 2.589630e-01 7.354868e-01 2.247587e-01 3.056244e-03
[121] 1.704176e-01 8.172805e-02 5.155800e-01 1.535407e-01 2.288496e-01
[126] 2.282947e-01 2.480063e-01 2.277185e+00 4.962415e-02 1.326353e+00
[131] 7.777069e-01 1.045103e-01 3.649343e-02 1.250988e-01 8.869326e-01
[136] 2.548659e+00 1.634572e-01 3.254234e-01 1.786246e-02 2.331410e-01
[141] 1.414543e+00 5.839118e-01 5.744391e-02 2.509689e-01 2.917881e-01
[146] 3.699941e-01 8.655898e-02 1.701241e-01 1.084550e+00 2.061180e-01
[151] 1.469459e-01 1.046904e+00 3.237763e-01 5.983392e-01 8.441851e-01
[156] 9.126835e-01 1.474801e-01 5.233455e-02 1.022341e+00 2.305614e-01
[161] 6.794884e-01 3.810440e-01 5.950719e-01 2.773179e-01 4.716044e-01
[166] 1.199181e-01 3.680300e-02 1.026747e-01 2.186673e-01 3.290256e-01
[171] 5.593237e-02 2.502277e-01 1.066221e-01 1.267994e-01 4.158218e-01
[176] 8.319796e-01 1.428151e-02 1.647930e+00 6.165461e-02 8.496230e-02
[181] 4.232763e-02 7.470832e-02 1.869457e-01 1.732251e-01 1.337576e-02
[186] 3.833920e-01 5.066712e-01 1.122482e-01 1.301463e-01 4.144287e-01
[191] 9.867503e-02 8.026146e-02 6.552270e-02 4.943837e-02 3.404065e-01
[196] 1.231072e-01 1.995371e-01 4.189915e-01 6.244107e-02 5.969476e-02
[201] 4.131593e-01 4.160878e-02 4.482891e-02 1.339348e-02 9.470848e-03
[206] 9.632320e-02 1.232812e-01 1.112717e+00 2.385521e-01 2.037574e-01
[211] 1.073791e-01 1.268161e-01 6.179549e-01 3.282884e-02 6.412976e-01
[216] 1.634900e-03 6.790578e-01 2.828246e-01 1.403770e-01 2.923176e-02
[221] 1.201154e-01 5.234321e-02 1.261023e-01 3.277741e-01 4.071301e-01
[226] 1.453629e-02 8.956967e-03 5.883616e-02 4.007956e-01 4.381312e-01
[231] 2.333220e-02 8.295509e-02 9.092373e-02 1.941520e-01 4.640057e-02
[236] 1.594738e-01 1.246452e-03 3.380272e-01 2.750620e-02 1.497827e-01
[241] 1.484261e-01 9.389565e-01 1.593830e-01 4.365189e-01 2.151694e-01
[246] 3.579457e-01 4.454032e-01 1.003055e-01 6.789200e-02 1.345117e-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/34xfv1227718260.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/1128g1227718260.ps tmp/1128g1227718260.png")
> system("convert tmp/25gxk1227718260.ps tmp/25gxk1227718260.png")
> system("convert tmp/34xfv1227718260.ps tmp/34xfv1227718260.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.810   0.577   1.080