2020-05-22 19:37:10 +00:00
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{
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"cells": [
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"4-element Array{Any,1}:\n",
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" #undef\n",
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" #undef\n",
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" #undef\n",
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" #undef"
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},
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"execution_count": 1,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"tempvar = Array{Any}(undef,4)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"4-element Array{Any,1}:\n",
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" \"Hello...word\"\n",
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" \"Hello...word\"\n",
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" \"Hello...word\"\n",
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" \"Hello...word\""
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]
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},
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"execution_count": 2,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"fill!(tempvar, \"Hello...word\")"
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]
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},
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"4-element Array{Any,1}:\n",
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" \"Hello...word\"\n",
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" \"Hello...word\"\n",
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" \"Hello...word\"\n",
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" \"Hello...word\""
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]
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},
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"execution_count": 3,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"tempvar"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"4-element Array{Any,1}:\n",
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" 777\n",
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" 777\n",
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" 777\n",
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" 777"
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]
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},
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"execution_count": 4,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"fill!(tempvar,777)"
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]
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},
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{
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"cell_type": "code",
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2020-05-23 01:29:38 +00:00
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"execution_count": 5,
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2020-05-22 19:37:10 +00:00
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"approxcos (generic function with 1 method)"
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]
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},
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2020-05-23 01:29:38 +00:00
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"execution_count": 5,
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2020-05-22 19:37:10 +00:00
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"function approxcos(x)\n",
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" outval = Array{Any}(undef,size(x))\n",
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" \n",
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" ii=0\n",
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" for aa in x\n",
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" y = 1 - aa^2/2 + aa^4/24 - aa^6/720 + aa^8/(56*720)\n",
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" ii = ii + 1\n",
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" outval[ii] = y\n",
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" end\n",
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" return outval\n",
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"end"
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]
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},
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{
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"cell_type": "code",
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2020-05-23 01:29:38 +00:00
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"execution_count": 6,
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2020-05-22 19:37:10 +00:00
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"metadata": {},
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"outputs": [],
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"source": [
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"x1 = 4*rand(10)\n",
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"\n",
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"x2 = range(0., stop=4., step=0.01)\n",
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"\n",
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"y1 = approxcos(x1)\n",
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"y2 = cos.(x2);"
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]
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},
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{
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"cell_type": "code",
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2020-05-23 01:29:38 +00:00
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"execution_count": 7,
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2020-05-22 19:37:10 +00:00
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"Plots.GRBackend()"
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]
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},
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2020-05-23 01:29:38 +00:00
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"execution_count": 7,
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2020-05-22 19:37:10 +00:00
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"using Plots\n",
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"gr()"
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]
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},
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{
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"cell_type": "code",
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2020-05-23 01:29:38 +00:00
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"execution_count": 8,
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2020-05-22 19:37:10 +00:00
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/svg+xml": [
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"<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
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"<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
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"<defs>\n",
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2020-05-23 01:29:38 +00:00
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" <clipPath id=\"clip7400\">\n",
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2020-05-22 19:37:10 +00:00
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" <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
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" </clipPath>\n",
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"</defs>\n",
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2020-05-23 01:29:38 +00:00
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"<path clip-path=\"url(#clip7400)\" d=\"\n",
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2020-05-22 19:37:10 +00:00
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"M0 1600 L2400 1600 L2400 0 L0 0 Z\n",
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" \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
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"<defs>\n",
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2020-05-23 01:29:38 +00:00
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" <clipPath id=\"clip7401\">\n",
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2020-05-22 19:37:10 +00:00
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" <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
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" </clipPath>\n",
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"</defs>\n",
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2020-05-23 01:29:38 +00:00
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"<path clip-path=\"url(#clip7400)\" d=\"\n",
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2020-05-22 19:37:10 +00:00
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"M162.455 1486.45 L2352.76 1486.45 L2352.76 123.472 L162.455 123.472 Z\n",
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" \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
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"<defs>\n",
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2020-05-23 01:29:38 +00:00
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" <clipPath id=\"clip7402\">\n",
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2020-05-22 19:37:10 +00:00
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" <rect x=\"162\" y=\"123\" width=\"2191\" height=\"1364\"/>\n",
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" </clipPath>\n",
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"</defs>\n",
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2020-05-23 01:29:38 +00:00
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2020-05-22 19:37:10 +00:00
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" 224.444,1486.45 224.444,123.472 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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2020-05-22 19:37:10 +00:00
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2020-05-23 01:29:38 +00:00
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2020-05-22 19:37:10 +00:00
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2020-05-23 01:29:38 +00:00
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2020-05-22 19:37:10 +00:00
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" 1774.19,1486.45 1774.19,123.472 \n",
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2020-05-23 01:29:38 +00:00
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2020-05-22 19:37:10 +00:00
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" 2290.77,1486.45 2290.77,123.472 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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2020-05-22 19:37:10 +00:00
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" 162.455,1447.87 2352.76,1447.87 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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2020-05-22 19:37:10 +00:00
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" 162.455,1126.42 2352.76,1126.42 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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2020-05-22 19:37:10 +00:00
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" 162.455,804.96 2352.76,804.96 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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2020-05-22 19:37:10 +00:00
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" 162.455,483.504 2352.76,483.504 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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"<polyline clip-path=\"url(#clip7402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
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2020-05-22 19:37:10 +00:00
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" 162.455,162.047 2352.76,162.047 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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2020-05-22 19:37:10 +00:00
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" 162.455,1486.45 2352.76,1486.45 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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"<polyline clip-path=\"url(#clip7400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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2020-05-22 19:37:10 +00:00
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" 162.455,1486.45 162.455,123.472 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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"<polyline clip-path=\"url(#clip7400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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2020-05-22 19:37:10 +00:00
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" 224.444,1486.45 224.444,1470.09 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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"<polyline clip-path=\"url(#clip7400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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2020-05-22 19:37:10 +00:00
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" 741.025,1486.45 741.025,1470.09 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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"<polyline clip-path=\"url(#clip7400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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2020-05-22 19:37:10 +00:00
|
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" 1257.61,1486.45 1257.61,1470.09 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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"<polyline clip-path=\"url(#clip7400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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2020-05-22 19:37:10 +00:00
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" 1774.19,1486.45 1774.19,1470.09 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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"<polyline clip-path=\"url(#clip7400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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2020-05-22 19:37:10 +00:00
|
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" 2290.77,1486.45 2290.77,1470.09 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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"<polyline clip-path=\"url(#clip7400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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2020-05-22 19:37:10 +00:00
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" 162.455,1447.87 188.738,1447.87 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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"<polyline clip-path=\"url(#clip7400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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2020-05-22 19:37:10 +00:00
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" 162.455,1126.42 188.738,1126.42 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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"<polyline clip-path=\"url(#clip7400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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2020-05-22 19:37:10 +00:00
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" 162.455,804.96 188.738,804.96 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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"<polyline clip-path=\"url(#clip7400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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2020-05-22 19:37:10 +00:00
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" 162.455,483.504 188.738,483.504 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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"<polyline clip-path=\"url(#clip7400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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2020-05-22 19:37:10 +00:00
|
|
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" 162.455,162.047 188.738,162.047 \n",
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" \"/>\n",
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2020-05-23 01:29:38 +00:00
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2020-05-22 19:37:10 +00:00
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|
|
" 224.444,162.047 229.61,162.079 234.776,162.175 239.942,162.336 245.108,162.561 250.273,162.85 255.439,163.204 260.605,163.621 265.771,164.103 270.937,164.649 \n",
|
|
|
|
|
" 276.102,165.259 281.268,165.933 286.434,166.67 291.6,167.472 296.766,168.337 301.931,169.266 307.097,170.259 312.263,171.315 317.429,172.434 322.595,173.617 \n",
|
|
|
|
|
" 327.76,174.862 332.926,176.171 338.092,177.543 343.258,178.977 348.424,180.474 353.589,182.034 358.755,183.655 363.921,185.339 369.087,187.085 374.253,188.892 \n",
|
|
|
|
|
" 379.418,190.762 384.584,192.692 389.75,194.684 394.916,196.737 400.082,198.851 405.248,201.025 410.413,203.26 415.579,205.555 420.745,207.909 425.911,210.324 \n",
|
|
|
|
|
" 431.077,212.798 436.242,215.331 441.408,217.923 446.574,220.574 451.74,223.283 456.906,226.051 462.071,228.876 467.237,231.759 472.403,234.699 477.569,237.697 \n",
|
|
|
|
|
" 482.735,240.751 487.9,243.861 493.066,247.028 498.232,250.25 503.398,253.528 508.564,256.861 513.729,260.249 518.895,263.691 524.061,267.187 529.227,270.737 \n",
|
|
|
|
|
" 534.393,274.341 539.558,277.998 544.724,281.707 549.89,285.469 555.056,289.282 560.222,293.147 565.387,297.064 570.553,301.031 575.719,305.048 580.885,309.116 \n",
|
|
|
|
|
" 586.051,313.233 591.216,317.399 596.382,321.614 601.548,325.878 606.714,330.189 611.88,334.548 617.046,338.954 622.211,343.406 627.377,347.904 632.543,352.449 \n",
|
|
|
|
|
" 637.709,357.038 642.875,361.673 648.04,366.351 653.206,371.074 658.372,375.84 663.538,380.648 668.704,385.5 673.869,390.393 679.035,395.327 684.201,400.303 \n",
|
|
|
|
|
" 689.367,405.319 694.533,410.375 699.698,415.47 704.864,420.605 710.03,425.778 715.196,430.988 720.362,436.237 725.527,441.522 730.693,446.843 735.859,452.2 \n",
|
|
|
|
|
" 741.025,457.593 746.191,463.02 751.356,468.481 756.522,473.976 761.688,479.505 766.854,485.065 772.02,490.658 777.185,496.282 782.351,501.937 787.517,507.622 \n",
|
|
|
|
|
" 792.683,513.337 797.849,519.082 803.014,524.854 808.18,530.655 813.346,536.483 818.512,542.338 823.678,548.22 828.843,554.127 834.009,560.059 839.175,566.015 \n",
|
|
|
|
|
" 844.341,571.996 849.507,577.999 854.673,584.026 859.838,590.074 865.004,596.144 870.17,602.235 875.336,608.347 880.502,614.477 885.667,620.627 890.833,626.796 \n",
|
|
|
|
|
" 895.999,632.982 901.165,639.185 906.331,645.405 911.496,651.641 916.662,657.892 921.828,664.158 926.994,670.438 932.16,676.731 937.325,683.038 942.491,689.356 \n",
|
|
|
|
|
" 947.657,695.686 952.823,702.027 957.989,708.378 963.154,714.739 968.32,721.109 973.486,727.488 978.652,733.874 983.818,740.267 988.983,746.666 994.149,753.072 \n",
|
|
|
|
|
" 999.315,759.483 1004.48,765.898 1009.65,772.317 1014.81,778.739 1019.98,785.164 1025.14,791.591 1030.31,798.019 1035.48,804.448 1040.64,810.877 1045.81,817.306 \n",
|
|
|
|
|
" 1050.97,823.733 1056.14,830.159 1061.3,836.581 1066.47,843.001 1071.64,849.417 1076.8,855.828 1081.97,862.235 1087.13,868.635 1092.3,875.029 1097.47,881.417 \n",
|
|
|
|
|
" 1102.63,887.796 1107.8,894.168 1112.96,900.53 1118.13,906.883 1123.29,913.225 1128.46,919.557 1133.63,925.878 1138.79,932.186 1143.96,938.481 1149.12,944.764 \n",
|
|
|
|
|
" 1154.29,951.032 1159.46,957.285 1164.62,963.524 1169.79,969.746 1174.95,975.952 1180.12,982.141 1185.28,988.312 1190.45,994.465 1195.62,1000.6 1200.78,1006.71 \n",
|
|
|
|
|
" 1205.95,1012.81 1211.11,1018.88 1216.28,1024.93 1221.44,1030.96 1226.61,1036.97 1231.78,1042.95 1236.94,1048.92 1242.11,1054.85 1247.27,1060.76 1252.44,1066.65 \n",
|
|
|
|
|
" 1257.61,1072.51 1262.77,1078.34 1267.94,1084.14 1273.1,1089.92 1278.27,1095.67 1283.43,1101.39 1288.6,1107.08 1293.77,1112.74 1298.93,1118.37 1304.1,1123.97 \n",
|
|
|
|
|
" 1309.26,1129.53 1314.43,1135.07 1319.59,1140.57 1324.76,1146.03 1329.93,1151.47 1335.09,1156.86 1340.26,1162.23 1345.42,1167.55 1350.59,1172.84 1355.76,1178.1 \n",
|
|
|
|
|
" 1360.92,1183.32 1366.09,1188.49 1371.25,1193.64 1376.42,1198.74 1381.58,1203.8 1386.75,1208.82 1391.92,1213.8 1397.08,1218.74 1402.25,1223.64 1407.41,1228.5 \n",
|
|
|
|
|
" 1412.58,1233.32 1417.75,1238.09 1422.91,1242.82 1428.08,1247.51 1433.24,1252.15 1438.41,1256.74 1443.57,1261.3 1448.74,1265.8 1453.91,1270.26 1459.07,1274.67 \n",
|
|
|
|
|
" 1464.24,1279.04 1469.4,1283.36 1474.57,1287.63 1479.73,1291.85 1484.9,1296.03 1490.07,1300.15 1495.23,1304.23 1500.4,1308.25 1505.56,1312.23 1510.73,1316.15 \n",
|
|
|
|
|
" 1515.9,1320.03 1521.06,1323.85 1526.23,1327.62 1531.39,1331.34 1536.56,1335 1541.72,1338.61 1546.89,1342.17 1552.06,1345.68 1557.22,1349.13 1562.39,1352.52 \n",
|
|
|
|
|
" 1567.55,1355.87 1572.72,1359.15 1577.89,1362.38 1583.05,1365.56 1588.22,1368.68 1593.38,1371.74 1598.55,1374.75 1603.71,1377.7 1608.88,1380.59 1614.05,1383.42 \n",
|
|
|
|
|
" 1619.21,1386.2 1624.38,1388.92 1629.54,1391.58 1634.71,1394.18 1639.87,1396.72 1645.04,1399.21 1650.21,1401.63 1655.37,1404 1660.54,1406.3 1665.7,1408.54 \n",
|
|
|
|
|
" 1670.87,1410.73 1676.04,1412.85 1681.2,1414.91 1686.37,1416.92 1691.53,1418.86 1696.7,1420.73 1701.86,1422.55 1707.03,1424.31 1712.2,1426 1717.36,1427.63 \n",
|
|
|
|
|
" 1722.53,1429.2 1727.69,1430.71 1732.86,1432.15 1738.03,1433.54 1743.19,1434.85 1748.36,1436.11 1753.52,1437.3 1758.69,1438.43 1763.85,1439.5 1769.02,1440.5 \n",
|
|
|
|
|
" 1774.19,1441.44 1779.35,1442.32 1784.52,1443.13 1789.68,1443.87 1794.85,1444.56 1800.01,1445.18 1805.18,1445.74 1810.35,1446.23 1815.51,1446.65 1820.68,1447.02 \n",
|
|
|
|
|
" 1825.84,1447.32 1831.01,1447.55 1836.18,1447.72 1841.34,1447.83 1846.51,1447.87 1851.67,1447.85 1856.84,1447.76 1862,1447.61 1867.17,1447.4 1872.34,1447.12 \n",
|
|
|
|
|
" 1877.5,1446.78 1882.67,1446.37 1887.83,1445.9 1893,1445.36 1898.17,1444.76 1903.33,1444.1 1908.5,1443.37 1913.66,1442.58 1918.83,1441.73 1923.99,1440.81 \n",
|
|
|
|
|
" 1929.16,1439.82 1934.33,1438.78 1939.49,1437.67 1944.66,1436.5 1949.82,1435.26 1954.99,1433.96 1960.15,1432.6 1965.32,1431.18 1970.49,1429.69 1975.65,1428.14 \n",
|
|
|
|
|
" 1980.82,1426.53 1985.98,1424.85 1991.15,1423.12 1996.32,1421.32 2001.48,1419.46 2006.65,1417.54 2011.81,1415.56 2016.98,1413.51 2022.14,1411.41 2027.31,1409.25 \n",
|
|
|
|
|
" 2032.48,1407.02 2037.64,1404.74 2042.81,1402.39 2047.97,1399.99 2053.14,1397.52 2058.31,1395 2063.47,1392.41 2068.64,1389.77 2073.8,1387.07 2078.97,1384.31 \n",
|
|
|
|
|
" 2084.13,1381.5 2089.3,1378.62 2094.47,1375.69 2099.63,1372.71 2104.8,1369.66 2109.96,1366.56 2115.13,1363.4 2120.29,1360.19 2125.46,1356.92 2130.63,1353.59 \n",
|
|
|
|
|
" 2135.79,1350.22 2140.96,1346.78 2146.12,1343.29 2151.29,1339.75 2156.46,1336.16 2161.62,1332.51 2166.79,1328.81 2171.95,1325.05 2177.12,1321.25 2182.28,1317.39 \n",
|
|
|
|
|
" 2187.45,1313.48 2192.62,1309.53 2197.78,1305.52 2202.95,1301.46 2208.11,1297.35 2213.28,1293.19 2218.44,1288.98 2223.61,1284.73 2228.78,1280.42 2233.94,1276.07 \n",
|
|
|
|
|
" 2239.11,1271.67 2244.27,1267.23 2249.44,1262.74 2254.61,1258.2 2259.77,1253.62 2264.94,1248.99 2270.1,1244.32 2275.27,1239.6 2280.43,1234.84 2285.6,1230.04 \n",
|
|
|
|
|
" 2290.77,1225.2 \n",
|
|
|
|
|
" \"/>\n",
|
|
|
|
|
"</svg>\n"
|
|
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]
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},
|
2020-05-23 01:29:38 +00:00
|
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|
"execution_count": 8,
|
2020-05-22 19:37:10 +00:00
|
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|
"metadata": {},
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|
"output_type": "execute_result"
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|
}
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],
|
|
|
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|
"source": [
|
|
|
|
|
"scatter(x1,y1,legend=:false, title=\"Ilustrating 6-th order approximation to cos\")\n",
|
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|
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|
"\n",
|
|
|
|
|
"plot!(x2,y2)"
|
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]
|
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},
|
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{
|
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": []
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}
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],
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"name": "julia-1.2"
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"mimetype": "application/julia",
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"name": "julia",
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"version": "1.2.0"
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