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.
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Type 'license()' or 'licence()' for distribution details.

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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
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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/14ius1227878126.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  0  1  0  1  2  1  0  1  0 -1  0 -1 -2
 [26] -1  0  1  0 -1  0 -1 -2 -3 -4 -5 -6 -7 -6 -7 -6 -5 -4 -3 -2 -3 -4 -3 -4 -5
 [51] -4 -5 -6 -5 -6 -5 -6 -7 -8 -7 -6 -5 -4 -5 -6 -7 -6 -5 -6 -7 -6 -5 -6 -7 -8
 [76] -9 -8 -7 -8 -7 -8 -9 -8 -7 -8 -7 -6 -7 -6 -5 -4 -5 -4 -5 -4 -3 -2 -3 -2 -1
[101] -2 -3 -2 -3 -2 -1 -2 -3 -2 -3 -4 -3 -2 -1  0 -1 -2 -3 -4 -5 -4 -5 -6 -7 -6
[126] -5 -4 -3 -2 -1  0  1  0  1  2  1  2  3  2  3  4  5  6  7  8  7  8  9  8  9
[151]  8  7  6  7  6  5  4  3  4  5  4  5  6  7  8  7  8  9 10 11 10 11 12 11 12
[176] 11 10 11 10  9  8  7  6  5  6  7  6  7  8  9 10 11 12 13 12 13 12 13 12 13
[201] 14 15 14 15 16 15 14 15 14 13 14 13 14 15 14 13 12 13 12 11 12 13 14 13 14
[226] 13 12 13 14 13 14 15 16 15 14 13 14 13 14 13 12 11 12 13 12 11 12 11 10 11
[251] 10 11 10  9 10 11 12 11 12 11 12 13 14 15 14 13 14 15 14 15 16 15 16 15 14
[276] 13 14 13 12 11 12 13 12 13 14 13 14 15 16 17 16 17 16 15 16 17 18 19 20 21
[301] 22 23 24 23 24 25 24 23 22 23 22 23 22 21 20 21 22 21 20 19 20 19 20 19 20
[326] 19 18 19 18 17 16 15 14 15 16 17 18 17 16 17 18 17 16 17 18 17 18 17 16 17
[351] 18 17 16 15 16 17 16 17 18 17 18 19 20 21 22 23 24 23 24 23 24 25 26 27 28
[376] 27 26 27 26 25 26 27 28 29 28 27 26 25 24 25 26 25 24 23 24 23 22 23 24 25
[401] 26 27 28 29 28 27 28 29 28 27 26 27 28 29 30 31 30 31 30 29 30 31 32 31 30
[426] 29 28 29 28 29 30 29 28 27 28 29 30 29 30 31 32 31 30 31 30 29 30 29 28 29
[451] 28 27 28 29 30 29 28 29 28 27 26 27 26 27 26 27 28 29 28 27 26 27 28 29 28
[476] 29 30 31 30 31 32 31 30 29 28 29 30 29 28 29 30 31 32 33 34 35 34 33 34 33
> x <- b
> postscript(file="/var/www/html/rcomp/tmp/22b0h1227878126.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] 2.610996e+02 5.940840e+02 2.346976e+02 3.852787e+02 2.454849e+02
  [6] 7.583822e+01 1.773725e+02 1.478060e+01 2.088806e+02 1.825559e+01
 [11] 1.272789e+01 2.752995e+01 5.907874e+01 9.002291e+01 1.170572e+02
 [16] 3.153755e+01 3.796984e+01 8.559471e+00 5.077799e+00 2.831811e+01
 [21] 4.839300e+00 3.283622e-01 8.425842e+00 1.952713e+01 9.821601e+00
 [26] 2.896567e+01 6.477893e+00 7.464301e+00 1.572521e+01 7.292781e-01
 [31] 1.607280e+01 1.696821e+00 2.657394e+00 4.153992e+00 1.178143e+01
 [36] 8.155544e-01 5.467127e-01 6.754442e+00 5.188031e+00 5.361240e+00
 [41] 2.587990e+00 1.233331e-01 1.415994e+00 1.919960e+00 4.196194e-01
 [46] 7.204310e-01 3.469336e+00 7.529218e-02 1.024267e+00 3.778292e+00
 [51] 4.666332e-02 1.789525e+00 6.778465e+00 3.473199e+00 2.179755e-01
 [56] 3.506427e+00 1.921748e+00 3.055821e-01 2.776812e+00 2.625906e+00
 [61] 1.975228e+00 1.730385e+00 4.586817e+00 8.447840e-01 2.129769e+00
 [66] 3.174979e-02 6.160405e-03 3.023745e+00 8.424893e-01 1.310432e+00
 [71] 1.001988e+00 3.349533e-02 3.809736e-01 2.550049e-01 1.421144e+00
 [76] 2.714550e+00 9.259165e-01 8.496028e-01 1.124360e+00 1.705118e-01
 [81] 2.389688e-01 5.395160e-01 4.149369e-01 2.108869e+00 1.171134e+00
 [86] 6.354557e-01 3.755815e-01 2.177071e+00 1.038054e+00 2.264437e+00
 [91] 5.045274e-01 9.424383e-01 7.102586e-01 1.075854e+00 1.366502e-01
 [96] 1.056997e-01 2.764029e-01 3.585240e-02 2.285004e-01 2.730622e-01
[101] 3.640139e-01 3.736776e+00 1.246758e+00 3.256972e-01 2.735807e-01
[106] 7.621912e-01 3.539798e-01 5.056462e-01 8.532840e-01 3.172146e+00
[111] 5.314542e-01 6.186399e-01 3.711726e-01 2.977636e-02 1.257537e-01
[116] 1.977897e-01 8.850454e-02 3.070311e-01 1.014244e+00 2.868514e-01
[121] 8.928142e-01 7.789099e-01 9.479376e-02 5.986573e-01 1.978891e-01
[126] 5.620100e-01 6.406842e-01 4.574916e-01 9.298515e-02 1.105264e+00
[131] 6.823796e-01 1.255288e-01 3.508600e-03 1.828693e-01 7.571911e-01
[136] 1.297594e+00 1.175227e-01 4.105603e-01 1.404357e-01 1.465342e-02
[141] 4.020367e-01 1.865890e+00 8.941917e-01 5.921679e-01 2.406747e-01
[146] 5.534172e-02 2.933233e-01 1.659740e-01 1.215514e-02 9.991488e-01
[151] 3.751348e-01 2.678821e-01 5.511453e-01 1.000933e-01 8.804402e-01
[156] 1.134025e+00 1.694006e+00 1.496258e+00 1.458812e-02 9.326380e-01
[161] 4.096824e-02 1.659695e-01 2.223861e-01 3.657054e-01 4.999424e-01
[166] 6.004577e-01 2.685308e-01 2.424594e-01 3.123019e-01 1.498864e-02
[171] 6.165945e-01 1.041612e-01 9.704955e-01 3.228073e-01 1.926912e-01
[176] 9.678792e-01 1.104079e-02 1.589891e-01 2.308068e-02 1.061204e+00
[181] 1.568423e-01 1.672105e-01 2.034927e-01 6.441676e-01 2.751262e-01
[186] 2.502507e-01 3.243858e-01 4.587595e-01 2.032278e-01 1.323031e-01
[191] 1.543441e-01 2.406466e-02 9.280148e-02 1.276125e-01 3.811028e-01
[196] 6.051175e-01 7.183435e-01 1.429395e-01 9.425618e-02 2.997539e-01
[201] 1.430398e-01 5.577346e-02 3.721009e-01 1.417336e-02 1.838941e-01
[206] 1.576895e-01 1.421228e-01 2.153814e-02 2.371573e-01 2.044205e-01
[211] 4.997529e-02 1.333001e-01 1.723813e-03 1.702297e-01 1.357667e-01
[216] 9.714733e-02 3.815597e-01 4.446489e-02 4.365971e-01 4.752254e-01
[221] 2.891077e-02 3.624907e-02 3.906550e-03 2.879708e-01 1.310836e-01
[226] 4.147895e-02 3.572861e-01 7.656380e-01 2.869045e-01 2.275843e-01
[231] 3.277007e-02 3.757999e-01 1.536521e-01 7.350625e-03 1.097984e-01
[236] 8.066566e-03 8.709436e-02 7.915028e-02 2.910927e-01 2.150713e-01
[241] 3.368807e-01 1.832801e-01 2.271377e-01 2.266129e-01 1.323986e-01
[246] 4.666612e-01 1.972851e-01 3.253115e-01 7.774997e-02 4.435969e-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/3l3av1227878126.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/14ius1227878126.ps tmp/14ius1227878126.png")
> system("convert tmp/22b0h1227878126.ps tmp/22b0h1227878126.png")
> system("convert tmp/3l3av1227878126.ps tmp/3l3av1227878126.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.812   0.604   1.034