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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Type 'demo()' for some demos, 'help()' for on-line help, or
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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/1hkg21228157547.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  0  1  0  1  0 -1  0  1  2  1  2  1  2  1  2  3  2  1  0  1  0
 [26]  1  2  1  2  3  4  5  6  5  6  5  6  7  8  7  8  7  8  9  8  9 10 11 12 13
 [51] 12 11 12 13 14 15 14 15 16 17 16 17 18 17 16 17 18 19 18 17 18 17 16 15 14
 [76] 15 14 13 14 13 12 13 12 13 12 13 12 13 14 13 14 13 14 13 14 13 12 11 12 11
[101] 12 13 12 13 12 11 12 11 12 11 10  9 10 11 10  9 10  9 10 11 12 11 12 11 10
[126] 11 10 11 12 13 14 15 14 15 16 17 16 15 16 17 18 19 20 19 20 21 20 21 20 19
[151] 18 19 20 21 22 21 22 23 24 25 24 23 22 21 20 21 22 23 24 23 24 23 24 25 24
[176] 23 22 23 24 25 26 25 24 23 24 23 24 23 22 23 22 21 22 23 22 23 22 21 20 19
[201] 20 19 18 19 18 19 18 19 18 17 16 15 16 15 16 15 16 15 16 15 16 15 14 15 16
[226] 17 16 17 16 15 14 13 14 15 14 15 14 15 16 15 16 17 18 17 18 17 16 17 18 17
[251] 16 17 16 15 14 15 14 13 12 13 12 11 12 11 12 11 12 13 14 13 14 13 12 13 14
[276] 15 16 17 16 15 16 17 16 17 16 17 18 19 20 21 20 19 20 21 20 19 18 17 18 19
[301] 18 19 20 19 20 21 20 19 20 21 22 21 20 19 18 19 20 19 20 21 22 21 22 21 20
[326] 21 20 19 20 19 18 17 16 17 18 17 18 19 20 21 20 19 20 21 20 21 20 19 20 19
[351] 18 17 18 19 20 21 22 21 22 21 22 21 22 23 22 21 20 21 22 23 24 25 24 25 24
[376] 23 24 25 24 23 24 25 26 25 26 25 24 23 22 23 22 21 20 21 20 19 20 19 20 21
[401] 20 19 18 19 18 17 16 17 18 17 18 19 18 17 16 15 16 15 14 15 14 15 14 15 14
[426] 15 14 15 14 15 16 15 16 17 18 19 18 19 18 17 16 15 16 17 18 19 18 17 16 17
[451] 18 19 20 19 20 21 20 19 20 19 18 17 18 17 16 15 16 17 16 17 16 15 16 15 14
[476] 15 14 15 16 17 18 19 18 19 20 19 18 19 20 21 20 21 20 19 20 21 22 21 20 19
> x <- b
> postscript(file="/var/www/html/rcomp/tmp/2qnnl1228157547.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] 8.145803e+02 5.260878e+02 8.909946e+02 1.662192e+02 7.248313e+02
  [6] 2.034119e+02 1.174206e+02 1.792748e+02 2.889302e+01 5.066579e+01
 [11] 5.457626e+01 3.846847e+00 2.249032e+01 2.217635e+01 6.011655e+00
 [16] 1.605584e+01 1.830161e+00 2.849581e+00 1.722213e+01 1.367253e+00
 [21] 6.476112e+00 1.934520e+01 6.239462e-01 2.215308e+00 6.662696e-01
 [26] 6.612931e+00 1.428865e+01 4.261934e+00 5.465182e+00 9.731175e+00
 [31] 1.041767e+01 1.767536e+00 7.473663e-01 3.076069e+00 1.043125e+00
 [36] 1.243504e+00 1.178818e+01 6.004455e+00 2.051428e+00 8.604372e+00
 [41] 7.959243e+00 8.048536e+00 9.151966e-01 1.110141e+00 5.279144e+00
 [46] 2.657768e-01 3.900012e-03 6.202451e+00 1.770297e-01 8.990539e-01
 [51] 1.050035e+00 5.779636e-02 1.208590e+00 4.608991e+00 4.681536e-01
 [56] 3.056951e+00 6.852557e+00 4.061477e-01 1.619167e+00 3.260913e+00
 [61] 3.388522e-03 1.381136e+00 2.854916e-01 4.301744e-01 8.051078e-02
 [66] 1.100371e+00 1.997549e+00 1.915742e+00 3.213424e-01 1.609465e-01
 [71] 5.229372e-01 4.062951e-01 1.052693e+00 7.108092e+00 1.290343e+00
 [76] 3.202294e+00 1.282073e+00 1.358427e+00 5.978527e-01 3.917625e-01
 [81] 4.211292e-01 7.986644e-01 4.450133e-01 9.316454e-01 4.313805e-02
 [86] 2.802805e+00 4.766234e-01 2.150652e+00 2.039124e+00 4.376564e-01
 [91] 9.370142e-01 2.204297e+00 1.984829e-01 9.154838e-02 1.700132e-01
 [96] 3.699250e-02 3.016113e-02 3.137162e-01 2.221477e-01 1.663558e+00
[101] 1.025395e-01 8.408136e-02 8.040929e-01 3.996550e-01 7.203302e-01
[106] 6.257008e-04 3.700499e-02 1.294863e+00 2.616345e-01 1.093615e+00
[111] 3.481211e-01 2.854492e-01 1.351094e-01 8.479443e-01 1.054130e+00
[116] 1.459284e+00 9.530465e-01 1.345502e-01 4.876925e-01 3.234509e-01
[121] 6.979686e-01 1.565958e-02 1.563097e-01 7.027501e-01 4.881033e-03
[126] 6.311040e-01 4.262995e-01 5.904258e-01 2.838751e-01 8.830168e-01
[131] 1.259360e-01 3.785388e-01 9.241176e-02 1.830807e-01 1.345385e+00
[136] 4.365765e-01 3.719835e-01 3.202936e-01 1.465942e-01 1.216501e+00
[141] 9.169875e-02 7.307914e-03 7.045615e-01 1.446345e-01 1.095028e-01
[146] 6.301000e-02 1.085623e+00 6.107738e-01 6.316656e-02 3.010142e-01
[151] 1.904093e-01 9.916202e-02 1.124587e-02 7.857123e-01 6.777211e-01
[156] 8.722113e-01 1.426167e-01 3.634255e-01 1.009782e+00 1.259813e-01
[161] 4.218485e-01 1.335016e-02 2.307575e-01 2.635540e-01 3.095213e-01
[166] 2.617504e-01 6.310424e-01 4.649020e-02 1.227962e+00 5.761086e-01
[171] 3.575483e-01 6.641954e-01 3.233859e-01 6.069305e-01 2.331512e-01
[176] 1.326421e-01 9.383468e-01 5.590383e-02 4.752340e-01 4.078728e-01
[181] 3.488638e-01 2.887796e-01 3.242986e-02 2.644943e-01 3.621307e-01
[186] 1.442670e-01 8.935308e-01 3.991620e-01 2.770942e-01 1.907167e-02
[191] 3.088798e-02 1.261619e-01 6.027235e-02 3.358179e-02 2.397120e-01
[196] 7.491570e-01 2.701667e-02 5.625583e-01 1.654254e-01 9.849433e-01
[201] 5.982085e-02 3.235321e-01 6.032502e-02 1.632234e-01 5.396483e-01
[206] 1.611661e-01 1.595615e-01 4.377356e-01 5.510428e-02 2.039421e-01
[211] 1.462669e-01 3.042625e-01 4.845072e-01 4.612040e-04 8.427066e-02
[216] 1.673748e-01 1.775786e+00 4.503190e-01 5.540293e-01 1.366826e-01
[221] 6.293927e-02 3.021756e-01 1.104900e-02 2.322916e-01 4.588403e-01
[226] 1.701470e-01 3.275429e-01 1.080892e-02 8.591930e-01 9.471066e-01
[231] 7.102753e-01 6.514434e-01 8.530184e-01 1.876421e-02 2.671806e-02
[236] 2.113997e-01 1.051181e-01 4.023176e-02 5.289595e-01 2.606757e-01
[241] 8.248456e-02 1.287691e-01 6.775870e-01 1.686307e-01 9.051667e-03
[246] 2.550358e-01 1.541152e-01 1.409085e-01 8.107465e-02 3.381211e-02

$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/3fg6p1228157547.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/1hkg21228157547.ps tmp/1hkg21228157547.png")
> system("convert tmp/2qnnl1228157547.ps tmp/2qnnl1228157547.png")
> system("convert tmp/3fg6p1228157547.ps tmp/3fg6p1228157547.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.810   0.602   0.948