optical_tweezers.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>'b3um_I1000mA_t50us_fs10kHz.txt'</li>\n",
       "\t<li>'b3um_I1000mA_t50us_fs12kHz.txt'</li>\n",
       "\t<li>'b3um_I1000mA_t50us_fs15kHz.txt'</li>\n",
       "\t<li>'b3um_I1000mA_t50us_fs17kHz.txt'</li>\n",
       "\t<li>'b3um_I1000mA_t50us_fs5kHz.txt'</li>\n",
       "\t<li>'b3um_I1000mA_t50us_fs7kHz.txt'</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'b3um\\_I1000mA\\_t50us\\_fs10kHz.txt'\n",
       "\\item 'b3um\\_I1000mA\\_t50us\\_fs12kHz.txt'\n",
       "\\item 'b3um\\_I1000mA\\_t50us\\_fs15kHz.txt'\n",
       "\\item 'b3um\\_I1000mA\\_t50us\\_fs17kHz.txt'\n",
       "\\item 'b3um\\_I1000mA\\_t50us\\_fs5kHz.txt'\n",
       "\\item 'b3um\\_I1000mA\\_t50us\\_fs7kHz.txt'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'b3um_I1000mA_t50us_fs10kHz.txt'\n",
       "2. 'b3um_I1000mA_t50us_fs12kHz.txt'\n",
       "3. 'b3um_I1000mA_t50us_fs15kHz.txt'\n",
       "4. 'b3um_I1000mA_t50us_fs17kHz.txt'\n",
       "5. 'b3um_I1000mA_t50us_fs5kHz.txt'\n",
       "6. 'b3um_I1000mA_t50us_fs7kHz.txt'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] \"b3um_I1000mA_t50us_fs10kHz.txt\" \"b3um_I1000mA_t50us_fs12kHz.txt\"\n",
       "[3] \"b3um_I1000mA_t50us_fs15kHz.txt\" \"b3um_I1000mA_t50us_fs17kHz.txt\"\n",
       "[5] \"b3um_I1000mA_t50us_fs5kHz.txt\"  \"b3um_I1000mA_t50us_fs7kHz.txt\" "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#ddir = '../opt tweez data/10_04_2014/' # Moving tweezers\n",
    "ddir = '../opt tweez data/02_12_2014/2_12_2014_part3/' # Pretty good\n",
    "#ddir = '../opt tweez data/06_03_2014/'\n",
    "files = list.files(ddir)\n",
    "files"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "'b3um_I1000mA_t50us_fs5kHz.txt'"
      ],
      "text/latex": [
       "'b3um\\_I1000mA\\_t50us\\_fs5kHz.txt'"
      ],
      "text/markdown": [
       "'b3um_I1000mA_t50us_fs5kHz.txt'"
      ],
      "text/plain": [
       "[1] \"b3um_I1000mA_t50us_fs5kHz.txt\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>V1</th><th scope=col>V2</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>8.167</td><td>6.533</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>8.155</td><td>6.648</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>8.104</td><td>6.621</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ll}\n",
       "  & V1 & V2\\\\\n",
       "\\hline\n",
       "\t1 & 8.167 & 6.533\\\\\n",
       "\t2 & 8.155 & 6.648\\\\\n",
       "\t3 & 8.104 & 6.621\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "     V1    V2\n",
       "1 8.167 6.533\n",
       "2 8.155 6.648\n",
       "3 8.104 6.621"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "100000"
      ],
      "text/latex": [
       "100000"
      ],
      "text/markdown": [
       "100000"
      ],
      "text/plain": [
       "[1] 100000"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<strong>png:</strong> 2"
      ],
      "text/latex": [
       "\\textbf{png:} 2"
      ],
      "text/markdown": [
       "**png:** 2"
      ],
      "text/plain": [
       "png \n",
       "  2 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<strong>png:</strong> 2"
      ],
      "text/latex": [
       "\\textbf{png:} 2"
      ],
      "text/markdown": [
       "**png:** 2"
      ],
      "text/plain": [
       "png \n",
       "  2 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fn = 5 #length(files)\n",
    "data1 = read.table(paste(ddir,files[fn],sep=''),sep =';',dec = ',')\n",
    "files[fn]\n",
    "data1[1:3,]\n",
    "length(data1[,1])\n",
    "#tsdata1 = ts(data1[,2:3]) # line numbers, etc. present\n",
    "tsdata1 = ts(data1[,1:2]) # just coordinates\n",
    "#plot(tsdata1)\n",
    "nsamples = length(tsdata1[,1])\n",
    "#plot(tsdata1[1:nsamples/3,1],tsdata1[1:nsamples/3,2],type='l', col = 'red')\n",
    "#lines(tsdata1[(nsamples/3+1):(2*nsamples/3),1],tsdata1[(nsamples/3+1):(2*nsamples/3),2],col='purple')\n",
    "#lines(tsdata1[(2*nsamples/3+1):nsamples,1],tsdata1[(2*nsamples/3+1):nsamples,2],col='blue')\n",
    "\n",
    "data1 = tsdata1\n",
    "postscript('img/trajectory.eps')\n",
    "par(cex=2)\n",
    "plot(data1[,1], data1[,2], type='l', asp = 1)\n",
    "dev.off()\n",
    "\n",
    "plotidx = 1:2000\n",
    "postscript('img/comparison_2000pts.eps')\n",
    "layout(matrix(1:2,1:1))\n",
    "par(cex=2)\n",
    "plot(data1[plotidx,1], data1[plotidx,2], type='l', asp=1, axes=FALSE, ann = FALSE)\n",
    "plot(rnorm(2000), rnorm(2000), type='l', asp=1, axes=FALSE, ann=FALSE)\n",
    "dev.off()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>sqrt(centeredx^2 + centeredy^2)</th><th scope=col>atan2(centeredx, centeredy)</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>0.1711126</td><td>2.5799788</td></tr>\n",
       "\t<tr><td>0.08456232</td><td>1.93130247</td></tr>\n",
       "\t<tr><td>0.06340865</td><td>2.68200850</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{ll}\n",
       " sqrt(centeredx\\textasciicircum{}2 + centeredy\\textasciicircum{}2) & atan2(centeredx, centeredy)\\\\\n",
       "\\hline\n",
       "\t 0.1711126 & 2.5799788\\\\\n",
       "\t 0.08456232 & 1.93130247\\\\\n",
       "\t 0.06340865 & 2.68200850\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "1. 0.171112635497156\n",
       "2. 0.0845623210820438\n",
       "3. 0.0634086494634815\n",
       "4. 2.57997881329252\n",
       "5. 1.93130247009219\n",
       "6. 2.68200850205345\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "     sqrt(centeredx^2 + centeredy^2) atan2(centeredx, centeredy)\n",
       "[1,]                      0.17111264                    2.579979\n",
       "[2,]                      0.08456232                    1.931302\n",
       "[3,]                      0.06340865                    2.682009"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "meanx = mean(tsdata1[,1])\n",
    "meany = mean(tsdata1[,2])\n",
    "centeredx = tsdata1[,1]-meanx\n",
    "centeredy = tsdata1[,2]-meany\n",
    "pcoords = cbind(sqrt(centeredx^2 + centeredy^2), atan2(centeredx,centeredy))\n",
    "pcoords[1:3,]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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lKFnISU0joUIQUSUj1CmoiQ6hHSRIRU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\nIMD/AXhAlRqX0nUwAAAAAElFTkSuQmCC",
      "text/plain": [
       "Plot with title “Histogram of coords[, 1]”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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GGsv6t5zj0IaYeQerDajHukTIQ0DCGV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\nQQb/H3M1mb5b2L3UAAAAAElFTkSuQmCC",
      "text/plain": [
       "Plot with title “Histogram of coords[, 2]”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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cu0Z0A1CMkF01KDeHzkN0JywDO1TfO1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\n2feoT05zAAAAAElFTkSuQmCC",
      "text/plain": [
       "Plot with title “ecdf(coords[, 1])”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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OSLh6qGr9OeAWUjJE/8ubrfx9ozoHyE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\nAv4fw0UVoB4p1jEAAAAASUVORK5CYII=",
      "text/plain": [
       "Plot with title “ecdf(coords[, 2])”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AEhQUBIEBASBIQEASFBQEgQEBIEhAQB\nIUFASBAQEgSEBAEhQUBIEBASBIQEASFBQEgQEBIEhAQBIUFASBAQEgSEBAEhQUBIEPgHaNen\nNIEl3xMAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "coords = tsdata1\n",
    "#coords = pcoords\n",
    "\n",
    "hist(coords[,1])\n",
    "hist(coords[,2])\n",
    "\n",
    "ex = ecdf(coords[,1])\n",
    "ey = ecdf(coords[,2])\n",
    "ex1 <- function(x) 1-ex(x)\n",
    "ey1 <- function(x) 1-ey(x)\n",
    "    \n",
    "plot(ex,log='y',ylim = c(0.000001,1))\n",
    "plot(ex1,ylim = c(0.000001,1))\n",
    "plot(ey,log='y',ylim = c(0.000001,1))\n",
    "plot(ey1,log='y',ylim = c(0.000001,1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<strong>png:</strong> 2"
      ],
      "text/latex": [
       "\\textbf{png:} 2"
      ],
      "text/markdown": [
       "**png:** 2"
      ],
      "text/plain": [
       "png \n",
       "  2 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dnsx = density(coords[,1])\n",
    "dnsy = density(coords[,2])\n",
    "\n",
    "postscript('img/densities_xy.eps')\n",
    "layout(matrix(1:2, 1:1))\n",
    "plot(dnsx, lwd = 2)\n",
    "lines(dnsx$x,dnorm(dnsx$x,mean = mean(coords[,1]),sd = sd(coords[,1])),col='red', lwd = 2)\n",
    "plot(dnsy, lwd = 2)\n",
    "lines(dnsy$x,dnorm(dnsy$x,mean = mean(coords[,2]),sd = sd(coords[,2])),col='red', lwd = 2)\n",
    "dev.off()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "?plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "In ks.test((coords[, 1] - mean(coords[, 1]))/sd(coords[, 1]), pnorm): ties should not be present for the Kolmogorov-Smirnov test"
     ]
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "\tOne-sample Kolmogorov-Smirnov test\n",
       "\n",
       "data:  (coords[, 1] - mean(coords[, 1]))/sd(coords[, 1])\n",
       "D = 0.0039561, p-value = 0.08741\n",
       "alternative hypothesis: two-sided\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.9844"
      ],
      "text/latex": [
       "0.9844"
      ],
      "text/markdown": [
       "0.9844"
      ],
      "text/plain": [
       "[1] 0.9844"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "In ks.test((coords[, 2] - mean(coords[, 2]))/sd(coords[, 2]), pnorm): ties should not be present for the Kolmogorov-Smirnov test"
     ]
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "\tOne-sample Kolmogorov-Smirnov test\n",
       "\n",
       "data:  (coords[, 2] - mean(coords[, 2]))/sd(coords[, 2])\n",
       "D = 0.0075917, p-value = 1.972e-05\n",
       "alternative hypothesis: two-sided\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.98591"
      ],
      "text/latex": [
       "0.98591"
      ],
      "text/markdown": [
       "0.98591"
      ],
      "text/plain": [
       "[1] 0.98591"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "\tShapiro-Wilk normality test\n",
       "\n",
       "data:  (coords[1:5000, 1] - mean(coords[1:5000, 1]))/sd(coords[1:5000,     1])\n",
       "W = 0.99664, p-value = 3.43e-09\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "\tShapiro-Wilk normality test\n",
       "\n",
       "data:  (coords[1:5000, 2] - mean(coords[1:5000, 2]))/sd(coords[1:5000,     2])\n",
       "W = 0.99114, p-value < 2.2e-16\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ties <- function(x) 1-length(unique(x))/length(x)\n",
    "ks.test((coords[,1]-mean(coords[,1]))/sd(coords[,1]),pnorm)\n",
    "ties(coords[,1])\n",
    "ks.test((coords[,2]-mean(coords[,2]))/sd(coords[,2]),pnorm)\n",
    "ties(coords[,2])\n",
    "shapiro.test((coords[1:5000,1]-mean(coords[1:5000,1]))/sd(coords[1:5000,1]))\n",
    "shapiro.test((coords[1:5000,2]-mean(coords[1:5000,2]))/sd(coords[1:5000,2]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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dIJNiE16JyfT9+0ubzNcJbEc7CaCfTld+X9hfl2krZL+d/ycweJzWW0YK79Yv+H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\nSAAgASAkAJAAEBIASMD/AXfkkH3fBmzsAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dx = diff(coords[,1],lag = 1)\n",
    "dy = diff(coords[,2],lag = 1)\n",
    "plot(dx,dy)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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9M4OKyDwg6WUCgUMoPB9HYnHmrMzPhpFwvAqgZ7e/WZmSkdfH55uSxSffvtKR0f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\nmkwtLQ888AB3GgA18Hg8fT/9ab1Op7v/fu4sMAl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      "text/plain": [
       "Plot with title “density.default(x = dy)”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#hist(dx)\n",
    "#hist(dy)\n",
    "dnsdx = density(dx)\n",
    "dnsdy = density(dy)\n",
    "\n",
    "plot(dnsdx)\n",
    "lines(dnsdx$x,dnorm(dnsdx$x,mean = mean(dx),sd = sd(dx)),col='red')\n",
    "plot(dnsdy)\n",
    "lines(dnsdy$x,dnorm(dnsdy$x,mean = mean(dx),sd = sd(dy)),col='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "In ks.test((dx - mean(dx))/sd(dx), pnorm): ties should not be present for the Kolmogorov-Smirnov test"
     ]
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "\tOne-sample Kolmogorov-Smirnov test\n",
       "\n",
       "data:  (dx - mean(dx))/sd(dx)\n",
       "D = 0.0049975, p-value = 0.01354\n",
       "alternative hypothesis: two-sided\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/latex": [
       "0.988639886398864"
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      "text/plain": [
       "[1] 0.9886399"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "In ks.test((dy - mean(dy))/sd(dy), pnorm): ties should not be present for the Kolmogorov-Smirnov test"
     ]
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "\tOne-sample Kolmogorov-Smirnov test\n",
       "\n",
       "data:  (dy - mean(dy))/sd(dy)\n",
       "D = 0.0062148, p-value = 0.0008836\n",
       "alternative hypothesis: two-sided\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.993359933599336"
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      "text/latex": [
       "0.993359933599336"
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      "text/markdown": [
       "0.993359933599336"
      ],
      "text/plain": [
       "[1] 0.9933599"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "\tShapiro-Wilk normality test\n",
       "\n",
       "data:  (dx[samples] - mean(dx[samples]))/sd(dx[samples])\n",
       "W = 0.99961, p-value = 0.4316\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "\tShapiro-Wilk normality test\n",
       "\n",
       "data:  (dy[samples] - mean(dy[samples]))/sd(dy[samples])\n",
       "W = 0.99938, p-value = 0.08524\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ks.test((dx-mean(dx))/sd(dx),pnorm)\n",
    "ties(dx)\n",
    "ks.test((dy-mean(dy))/sd(dy),pnorm)\n",
    "ties(dy)\n",
    "samples = 5000+1:5000\n",
    "shapiro.test((dx[samples]-mean(dx[samples]))/sd(dx[samples]))\n",
    "shapiro.test((dy[samples]-mean(dy[samples]))/sd(dy[samples]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "-0.106922656570664"
      ],
      "text/latex": [
       "-0.106922656570664"
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       "-0.106922656570664"
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      "text/plain": [
       "[1] -0.1069227"
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     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "-0.110126581607151"
      ],
      "text/latex": [
       "-0.110126581607151"
      ],
      "text/markdown": [
       "-0.110126581607151"
      ],
      "text/plain": [
       "[1] -0.1101266"
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.0217326387551158"
      ],
      "text/latex": [
       "0.0217326387551158"
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      "text/markdown": [
       "0.0217326387551158"
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      "text/plain": [
       "[1] 0.02173264"
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "-0.00184654284845492"
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      "text/latex": [
       "-0.00184654284845492"
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      "text/markdown": [
       "-0.00184654284845492"
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      "text/plain": [
       "[1] -0.001846543"
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cor(dx,coords[1:length(coords[,1])-1,1])\n",
    "cor(dy,coords[1:length(coords[,2])-1,2])\n",
    "cor(coords[,1],coords[,2])\n",
    "cor(dx,dy)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
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