1016 lines
3.5 MiB
Plaintext
1016 lines
3.5 MiB
Plaintext
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{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "f9346b65-1739-4393-9919-3fe3cf01b646",
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"metadata": {},
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"outputs": [],
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"source": [
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"include(\"../11-09/NWTN.jl\")\n",
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"include(\"../11-09/TestFunctions/TestFunctions.jl\")\n",
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"TF = TestFunctions();"
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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": 5,
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"id": "b306a08a-a231-4a84-9d79-c2ac5338409b",
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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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"displayTF (generic function with 1 method)"
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]
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},
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"execution_count": 5,
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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 displayTF(tf, xyrange; levels=nothing)\n",
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" f(x, y) = tf([x, y])[1]\n",
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" xrange = LinRange(xyrange[1][1], xyrange[2][1], 1000)\n",
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" yrange = LinRange(xyrange[1][2], xyrange[2][2], 1000)\n",
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"\n",
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" if isnothing(levels)\n",
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" plt = contour(xrange, yrange, f)\n",
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" else\n",
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" plt = contour(xrange, yrange, f, levels=levels)\n",
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" end\n",
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" return plt\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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"execution_count": 6,
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"id": "95c6e2d0-4194-491d-8a20-5f3ba3746c21",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Newton's method\n",
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"feval\trel gap\t\t|| g(x) ||\trate\t\tdelta\t\tls it\ta*\n",
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"\n",
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" 1\t6.5936e+00\t1.8960e+00\t\t\t0.00e+00 1\t1.00e+00\n",
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" 2\t6.5597e+00\t3.1344e-02\t9.9485e-01\t0.00e+00 1\t1.00e+00\n",
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" 3\t6.5596e+00\t2.7934e-05\t1.0000e+00\t0.00e+00 1\t1.00e+00\n",
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" 4\t6.5596e+00\t2.2492e-11\t1.0000e+00"
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]
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},
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{
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"data": {
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"text/plain": [
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||
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"([1.9744519864844305, 1.9744519864844305], \"optimal\")"
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]
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},
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"execution_count": 6,
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||
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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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],
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"source": [
|
||
|
|
"plt = displayTF(TF[8], ([-1,-1],[3,3]))\n",
|
||
|
|
"NWTN(TF[8], plt=plt, Plotf=1, plotatend=true, printing=true)"
|
||
|
|
]
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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": 7,
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"id": "02e5c77c-e81e-4304-89c3-4f588c739250",
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||
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|
"metadata": {},
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||
|
|
"outputs": [
|
||
|
|
{
|
||
|
|
"name": "stdout",
|
||
|
|
"output_type": "stream",
|
||
|
|
"text": [
|
||
|
|
"Newton's method\n",
|
||
|
|
"feval\trel gap\t\t|| g(x) ||\trate\t\tdelta\t\tls it\ta*\n",
|
||
|
|
"\n",
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||
|
|
" 1\t4.1342e+00\t9.3680e+00\t\t\t7.2212e+00 1 9\t5.12e-07\n",
|
||
|
|
" 11\t1.1888e+00\t8.8748e+00\t2.8756e-01\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 12\t9.5024e-02\t2.0491e+00\t7.9930e-02\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 13\t2.1914e-03\t2.7733e-01\t2.3062e-02\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 14\t2.3242e-06\t8.8354e-03\t1.0606e-03\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 15\t3.1420e-12\t1.0069e-05\t1.3519e-06\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 16\t1.1881e-13\t1.3130e-11\t3.7813e-02"
|
||
|
|
]
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||
|
|
},
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{
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"data": {
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"<polyline clip-path=\"url(#clip340)\" style=\"stroke:#e26f46; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"279.217,147.058 407.138,147.058 \"/>\n",
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"<path clip-path=\"url(#clip340)\" d=\"M442.301 166.745 Q440.495 171.375 438.782 172.787 Q437.069 174.199 434.199 174.199 L430.796 174.199 L430.796 170.634 L433.296 170.634 Q435.056 170.634 436.028 169.8 Q437 168.967 438.181 165.865 L438.944 163.921 L428.458 138.412 L432.972 138.412 L441.074 158.689 L449.176 138.412 L453.69 138.412 L442.301 166.745 Z\" fill=\"#000000\" fill-rule=\"nonzero\" fill-opacity=\"1\" /><path clip-path=\"url(#clip340)\" d=\"M464.199 160.402 L480.518 160.402 L480.518 164.338 L458.574 164.338 L458.574 160.402 Q461.236 157.648 465.819 153.018 Q470.426 148.365 471.606 147.023 Q473.852 144.5 474.731 142.764 Q475.634 141.004 475.634 139.315 Q475.634 136.56 473.69 134.824 Q471.768 133.088 468.667 133.088 Q466.467 133.088 464.014 133.852 Q461.583 134.615 458.805 136.166 L458.805 131.444 Q461.63 130.31 464.083 129.731 Q466.537 129.153 468.574 129.153 Q473.944 129.153 477.139 131.838 Q480.333 134.523 480.333 139.014 Q480.333 141.143 479.523 143.065 Q478.736 144.963 476.629 147.555 Q476.051 148.227 472.949 151.444 Q469.847 154.639 464.199 160.402 Z\" fill=\"#000000\" fill-rule=\"nonzero\" fill-opacity=\"1\" /></svg>\n"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"text/plain": [
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"([-0.08984201310041992, 0.7126564030215475], \"optimal\")"
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]
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},
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"execution_count": 7,
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||
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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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|
|
],
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||
|
|
"source": [
|
||
|
|
"plt = displayTF(TF[7], ([-2,-1.5],[2,1.5]), levels=[0.001; 0.1; LinRange(1, 15, 15)])\n",
|
||
|
|
"NWTN(TF[7], plt=plt, Plotf=1, plotatend=true, printing=true)"
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||
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|
]
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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": 9,
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||
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"id": "fbcf5db6-69e5-4f1a-ae7c-5abbba76151e",
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||
|
|
"metadata": {},
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||
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"outputs": [
|
||
|
|
{
|
||
|
|
"name": "stdout",
|
||
|
|
"output_type": "stream",
|
||
|
|
"text": [
|
||
|
|
"Newton's method\n",
|
||
|
|
"feval\trel gap\t\t|| g(x) ||\trate\t\tdelta\t\tls it\ta*\n",
|
||
|
|
"\n",
|
||
|
|
" 1\t6.2192e+00\t2.1919e+00\t\t\t1.9592e+01 1 33\t2.92e-01\n",
|
||
|
|
" 34\t2.1542e+01\t2.7280e+00\t3.4638e+00\t2.1996e+01 1 35\t8.89e-02\n",
|
||
|
|
" 69\t2.0260e+01\t4.6478e+00\t9.4052e-01\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 70\t2.0072e+01\t2.6866e+00\t9.9070e-01\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 71\t2.0001e+01\t2.7618e-01\t9.9645e-01\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 72\t2.0000e+01\t2.4123e-04\t9.9996e-01\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 73\t2.0000e+01\t9.6259e-10\t1.0000e+00"
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||
|
|
]
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|
|
},
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||
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{
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"data": {
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"text/plain": [
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"([538300.0, 233033.0], \"optimal\")"
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]
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},
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"execution_count": 9,
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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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"plt = displayTF(TF[8], ([-2,-2],[1,1]))\n",
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"NWTN(TF[8], x=[-1.5,1], plt=plt, Plotf=1, plotatend=true, printing=true)"
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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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"id": "51c18577-b3fe-4b53-92a6-bb506e0ae0ca",
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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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"metadata": {
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"kernelspec": {
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"display_name": "Julia 1.9.4",
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"language": "julia",
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"name": "julia-1.9"
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},
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"language_info": {
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"file_extension": ".jl",
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"mimetype": "application/julia",
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"name": "julia",
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"version": "1.9.4"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 5
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}
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