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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> par2 = '0.5'
> par1 = '500'
> 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/1kg6k1227878248.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  -3  -2  -1   0  -1   0   1   2   1   0  -1  -2  -3
 [19]  -2  -1   0  -1  -2  -3  -4  -5  -4  -5  -4  -5  -6  -7  -8  -7  -6  -7
 [37]  -6  -7  -8  -9 -10 -11 -12 -11 -12 -11 -12 -13 -14 -15 -16 -17 -18 -19
 [55] -20 -21 -20 -19 -20 -21 -22 -23 -24 -23 -24 -23 -22 -23 -24 -25 -24 -23
 [73] -22 -21 -22 -21 -22 -23 -22 -23 -24 -23 -24 -25 -26 -27 -28 -29 -30 -29
 [91] -28 -29 -30 -31 -30 -29 -30 -31 -30 -31 -30 -31 -32 -31 -30 -31 -32 -33
[109] -32 -33 -32 -31 -30 -29 -30 -31 -32 -31 -30 -31 -30 -29 -30 -31 -30 -29
[127] -28 -29 -30 -31 -32 -31 -30 -31 -30 -29 -30 -29 -30 -29 -30 -31 -30 -31
[145] -30 -29 -28 -27 -28 -29 -28 -29 -30 -31 -32 -33 -32 -33 -34 -33 -34 -33
[163] -34 -33 -32 -31 -32 -31 -32 -31 -30 -31 -32 -31 -30 -31 -30 -29 -28 -29
[181] -30 -29 -30 -31 -32 -31 -32 -33 -32 -33 -34 -35 -34 -33 -34 -35 -34 -35
[199] -34 -35 -34 -35 -34 -35 -36 -37 -36 -37 -36 -37 -36 -35 -36 -35 -34 -35
[217] -36 -35 -36 -35 -36 -35 -34 -35 -36 -37 -36 -37 -36 -35 -34 -35 -34 -33
[235] -32 -31 -32 -33 -32 -31 -32 -33 -32 -31 -30 -31 -30 -29 -30 -29 -30 -31
[253] -30 -31 -32 -31 -32 -33 -32 -31 -32 -33 -34 -33 -34 -35 -36 -35 -34 -33
[271] -34 -35 -36 -35 -34 -33 -34 -33 -34 -33 -32 -31 -30 -29 -28 -27 -26 -27
[289] -28 -29 -30 -31 -32 -31 -30 -31 -30 -31 -32 -31 -32 -31 -32 -33 -34 -33
[307] -34 -35 -36 -37 -38 -37 -36 -37 -36 -35 -36 -35 -36 -35 -36 -37 -38 -39
[325] -40 -39 -40 -39 -38 -39 -40 -41 -42 -41 -42 -43 -44 -45 -44 -43 -42 -43
[343] -44 -45 -46 -45 -44 -43 -44 -45 -46 -45 -46 -47 -48 -47 -46 -47 -46 -45
[361] -44 -43 -42 -41 -42 -43 -44 -43 -44 -43 -42 -43 -42 -43 -44 -43 -42 -41
[379] -42 -41 -40 -39 -40 -39 -40 -41 -42 -43 -44 -43 -42 -41 -40 -39 -40 -41
[397] -40 -39 -40 -39 -40 -39 -38 -39 -40 -41 -42 -43 -44 -43 -44 -45 -44 -43
[415] -42 -41 -42 -41 -40 -41 -42 -43 -42 -41 -42 -43 -44 -43 -42 -43 -44 -43
[433] -44 -43 -42 -41 -42 -43 -44 -43 -44 -45 -44 -43 -44 -45 -44 -45 -46 -47
[451] -46 -47 -48 -49 -48 -47 -48 -49 -48 -49 -50 -51 -52 -51 -52 -51 -52 -53
[469] -52 -51 -52 -51 -50 -51 -50 -51 -50 -49 -48 -47 -46 -47 -46 -45 -44 -45
[487] -46 -47 -48 -47 -46 -47 -46 -45 -46 -45 -44 -45 -46 -45
> x <- b
> postscript(file="/var/www/html/rcomp/tmp/2qixg1227878248.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] 1.478020e+03 1.113337e+03 5.080387e+01 1.656118e+03 4.016713e+01
  [6] 4.538746e+01 9.731856e+01 2.866270e+01 5.005405e+01 2.137362e+02
 [11] 2.143609e+01 4.441346e+01 2.369204e+01 6.683854e+01 3.543840e+01
 [16] 5.284770e+00 1.957151e+00 1.404634e+01 5.160794e+00 1.110380e+01
 [21] 3.435990e+00 7.737384e+00 3.859615e-01 1.464126e+00 1.786903e+01
 [26] 1.534283e+01 6.236061e+00 9.615396e+00 7.334334e+00 2.359739e+01
 [31] 6.346910e+00 1.811054e+00 5.248630e+00 3.730618e+00 2.776543e+00
 [36] 2.862384e+00 2.482594e+00 5.121540e+00 3.634609e+00 2.127593e+00
 [41] 2.723319e+00 1.640375e+00 2.884098e-01 2.272864e+00 9.299174e+00
 [46] 8.765909e+00 1.206250e+01 2.113151e+00 1.931030e+00 5.076690e-01
 [51] 1.402816e-01 7.471134e-01 9.974991e-03 4.390323e+00 2.551069e+00
 [56] 9.175641e-01 2.202316e+00 9.381497e-01 8.193241e-02 5.711610e-01
 [61] 1.123981e+00 2.442243e-01 1.076540e-01 4.104584e+00 6.415494e-01
 [66] 3.176726e+00 2.576533e+00 3.602974e+00 1.539820e+00 1.650469e+00
 [71] 4.892227e-02 1.421260e+00 1.313858e-01 4.475298e+00 3.330035e-01
 [76] 3.417240e-01 2.706136e+00 1.261307e+00 4.738824e-01 1.898140e+00
 [81] 9.111349e-01 9.471810e-02 4.430530e-02 8.835063e-01 1.378616e+00
 [86] 1.167054e+00 3.193473e-02 4.103846e-01 1.804543e-01 1.097936e+00
 [91] 7.981315e-01 2.148382e-01 3.675498e-02 1.813682e+00 5.630254e-01
 [96] 5.225638e-02 2.890340e+00 2.706514e+00 3.023903e-02 3.614851e-01
[101] 3.242366e-01 4.638632e-01 4.018711e-02 5.437924e-02 1.127677e-01
[106] 9.955622e-01 3.133204e+00 9.590120e-01 9.628116e-02 6.169237e-02
[111] 1.237197e+00 7.479343e-02 2.480286e-01 5.390905e-01 6.997902e-01
[116] 1.549196e+00 5.577078e-02 1.392232e+00 5.909559e-01 2.317445e+00
[121] 1.440342e+00 1.022426e+00 5.643621e-01 4.819533e-01 5.242955e-01
[126] 4.662223e-01 1.540523e-01 2.301598e-01 5.658261e-03 1.021232e+00
[131] 1.017126e-01 9.552146e-01 6.948205e-01 6.092945e-01 2.201544e-01
[136] 7.863178e-01 2.130411e-01 5.792492e-01 5.339748e-01 4.428604e-01
[141] 1.029566e+00 2.146432e-01 9.286974e-02 1.836071e-02 6.527903e-01
[146] 3.500161e-01 3.412174e-01 9.743376e-02 3.798830e-01 2.467700e-01
[151] 2.137793e-01 1.554122e-01 7.883341e-01 1.553360e-01 1.035272e-01
[156] 3.641006e-01 7.723925e-02 7.214580e-02 1.088748e+00 3.747567e-01
[161] 1.907048e-01 5.385470e-02 2.359509e-01 1.123402e-01 4.583313e-02
[166] 2.015862e-01 8.966310e-02 8.489275e-02 3.398779e-01 3.462284e-01
[171] 1.035590e+00 3.104107e-01 2.473488e-01 3.143316e-01 6.946154e-03
[176] 5.113941e-02 3.965476e-02 9.200430e-01 3.709101e-01 3.674821e-01
[181] 7.936415e-01 6.575051e-01 1.748937e-01 3.771311e-01 2.548160e-01
[186] 1.851630e-01 8.899837e-01 9.761258e-02 1.663800e+00 3.811884e-02
[191] 2.719204e-01 1.167567e-01 8.794936e-02 9.750111e-01 1.093352e-01
[196] 3.206032e-01 3.537995e-02 2.150411e-03 3.170480e-01 5.998760e-02
[201] 1.060382e-01 2.029867e-01 1.368407e-01 9.036137e-01 1.524256e-02
[206] 2.446110e-01 1.416426e-01 1.083483e-01 5.754182e-02 6.595907e-02
[211] 7.353263e-02 2.617180e-02 3.775258e-01 5.016114e-02 2.730861e-01
[216] 2.735211e-01 3.334001e-01 3.721864e-02 2.627280e-01 5.348968e-01
[221] 7.902650e-02 1.894774e-01 2.931183e-02 7.455492e-02 2.551234e-01
[226] 4.338159e-02 5.538946e-02 2.548249e-01 2.340165e-01 4.134826e-01
[231] 4.451748e-01 9.531550e-01 7.294589e-02 1.347683e-01 7.666767e-03
[236] 1.238280e-01 1.351908e-01 3.383670e-01 2.894531e-01 3.796639e-01
[241] 1.775776e-01 3.193740e-02 2.467319e-04 2.847552e-01 2.843540e-01
[246] 4.494986e-01 2.500152e-02 2.828771e-01 6.084208e-01 3.287274e-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/3qpwx1227878248.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/1kg6k1227878248.ps tmp/1kg6k1227878248.png")
> system("convert tmp/2qixg1227878248.ps tmp/2qixg1227878248.png")
> system("convert tmp/3qpwx1227878248.ps tmp/3qpwx1227878248.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.795   0.584   0.943