{
"cells": [
{
"cell_type": "markdown",
"id": "f3d84969",
"metadata": {},
"source": [
"# Plotting fume profiles."
]
},
{
"cell_type": "markdown",
"id": "81c3f9c9",
"metadata": {},
"source": [
"This notebooks makes some simple plots to represent a fume profile, assuming a Gaussian bell shaped curve."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "de873935",
"metadata": {},
"outputs": [],
"source": [
"using Plots"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "e7bfaf72",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"c0 (generic function with 1 method)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"c0(x) = exp(-100*x^2)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "8337ee83",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
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\")
"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(-2:0.01:2, c0, xlabel=\"x\", label=\"c0(x)\")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "f3b9ff8d",
"metadata": {},
"outputs": [],
"source": [
"# savefig(\"figconcentration0.png\")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "14bdbdc6",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"ct (generic function with 1 method)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ct(x) = exp(-x^2/4)/4"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "a41b8dc7",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
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\")
"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(-2:0.01:2, ct, xlabel=\"x\", label=\"c(x, t)\", ylims=[0,1])"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "ef96d2f0",
"metadata": {},
"outputs": [],
"source": [
"# savefig(\"figconcentrationT.png\")"
]
},
{
"cell_type": "markdown",
"id": "88d9c682-6a6f-44fa-91f4-35505728042d",
"metadata": {},
"source": [
"A shifted profile..."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "25c70bec-a0c0-4299-92e3-302144fac220",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"c5 (generic function with 1 method)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"c5(x) = exp(-100*(x - 5)^2)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "e5458a0b-098d-4a4a-bbb2-55bd5f9e0d19",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
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OxgiBCNJaEZ46dSojI0N9nJWVVVxc3NiZ8+bNGzNmTGZmpvr0xhtvdDgcaWlp77//ft++fXfu3JmTk9PgN3o8nmHDhiUkJKhPr7766lmzZjX2KjU1NXa73WYLYYwTOvJ46IaLkkpvotR63D8d/7vw/U/wJ5TVWN3u6ig2LU4FAgGv1+v3+41uSJyqqanxer31SdGspKQku72Z0QWtQZKWllZdffZ3rKqqKj09vcHTvF7v22+/vXTp0vojEydOVB+MHj36mmuueeutt6ZPn97g9yYnJ//xj390uVzq03bt2qWlpTXabpuNIDRWE/870EtQkbqgr01GqvWCmvC8979NlVKrBNLSkqLXuHilBqHT6TS6IXEqISEhMTFRexBqoTVIOnTocODAgUGDBonI/v37O3To0OBpy5YtS0tLGzZsWINfbd++fVlZWWMvYbVa+/Tpk5WVpbFJwEWvyi/JNrkwBS+UamNBPRAmrWOE99xzz9y5c30+X11d3RtvvHHPPfeox2fNmlVUVFR/2vz58ydOnGi1nr1sMBjcuXOn+nj79u2ffvrp0KFD9Ws8cJFz+xQtU0ZFHSOkrw4Ii9YgnDx5ssvl6tixY8eOHdu1a1ff4fnUU08dOnRIfXzkyJHPP//85z//ef13BQKB4cOH5+Xlde7c+brrrnviiSduuOEGXdsPXMw8Pmn2rryqVLvF7WUdIRAOrV2jTqdz+fLlxcXFFovl3NkudXV19Y/bt2/v9f7klmh2u/3kyZPHjx8PBAL5+fn69uoCFz2NiwhFXT5BRQiEJbTJJrm5uWG8Rn5+fhjfBUDjIkIRSbFJjV+CiqYBRQDnYq9RwLw07rgtIlaLOG1STVEIhI4gBMzL7dW047aKiaNAeAhCwLy0V4Qikubg3rxAOAhCwLy0T5YRKkIgXAQhYF4a78GkYikhEB6CEDAvj09JsWkeI7RTEQLhIAgB8wppjDDVzhghEA6CEDAvtzeEMULuxASEhyAEzCvEipCuUSAcBCFgXm5fCOsIqQiB8BCEgHl5Qls+YXEzRgiEjiAEzEv7XqMikmKXKpZPAKEjCAHz8vhDW1BP1ygQBoIQMC9PKGOE3IkJCA9BCJhXlT+ErtFUu6WKMUIgdAQhYFIBRbwBcWoPQhsVIRAOghAwKY9PUkK5c3YqyyeAsBCEgEmFNEAoIilMlgHCQhACJhXSlFFhr1EgXAQhYFJVoaymF2aNAuEiCAGT8oQyZVREUmxS4xdKQiBUBCFgUiHtryYiVoskJUg1RSEQIoIQMKmQ7sqrSmHiKBA6ghAwqVAny4hIqo35MkDICELApELtGhXmywBhIQgBkwrp1hMq1tQDYSAIAZOq8ispoSyoF5FUG3diAkJGEAImFdKO2yrW1ANhIAgBkwpzjJCuUSBEBCFgUmEEIduNAmEgCAGTCmMdIbNGgTAQhIBJhbGOMMXGvXmBkBGEgEmxjhCIDoIQMCnWEQLRQRACJlUVzhZrrCMEQkYQAiYV6h3qhYoQCAtBCJhUlV9SWFAPRB5BCJhRbUCsFrGH+AuaYmOyDBAyghAwozD2VxORNLpGgdARhIAZhTFAKOwsA4SFIATMKIxFhCKSardU+RkjBEJDEAJm5PGFPFNGmDUKhIUgBMwojP3VRCQpQfyK+IIRaBBw8SIIATMKb4xQRFJYUw+EiCAEzCi8WaOiDhOylBAIBUEImFF4k2VEJJWlhECICELAjMIPQubLACEiCAEz8oS+v5qKpYRAqAhCwIyqQr89vYpbEgKhIggBMwpv+YQwWQYIHUEImFEVk2WAaCEIATPyhL98gjFCIDQEIWBGLVlQTxACISEIATMKb69REUlh320gRAQhYEYtWlBPRQiEgiAEzKgFs0YJQiA0BCFgRlXhjhGm2tl0GwgNQQiYUQtmjVo8rCMEQkEQAqajiNT4JTnsLdaoCIFQEISA6VT5JClBrOH0jDJGCISMIARMpyrcmTLCrFEgdAQhYDphr6YXJssAoSMIAdMJ+x5MwmQZIHQEIWA6Ya+mFzbdBkJHEAKm4/GFuXZCRGxWSbBIbUDXBgEXNYIQMJ0qv5IS7hihMF8GCBFBCJiOxydp4XaNinpvXvbdBjQjCAHTcbdgjFBEUu3ipiIENCMIAdNpyRihsKYeCBFBCJhOlT/8dYQikkYQAqHQ+rFTUZRFixZ99tlneXl506ZNa9eu3XknrFu3bvny5fVP//M//7N169Yi4vV6X3vttS1btnTr1m369Onp6el6NR24WLl9cklq+N+earN4/IpI+FEKxBWtFeHs2bN/+9vfjho1yuv1XnvttbW1teedsGXLllWrVmX+U0JCgnr8kUceef/998eMGbN79+5Ro0bp2XbgItXyrlHGCAHtNP22BQKB2bNnz58/f8SIEXfffff69evffffde++997zTevfuPXPmzHOPlJSUvPnmm999912HDh1GjRqVm5u7adOmgQMH6tZ84GIU9l15VYwRAiHRVBEeOXLk2LFjQ4cOVZ8OHTp048aNF562a9eu6dOnv/jii8eOHVOPFBYW5ufnd+jQQUQcDsc111zz1Vdf6dRy4KLl8SlprCMEokVTRVhcXJyWluZwONSn2dnZW7ZsOe+c9u3bDx8+PD8/f9OmTc8999xXX3116aWXFhcXqyOFqtatWxcXFzf2KtXV1RMmTKh/lcsvv/zRRx9t7OSamhq73W6ztaD/CC1QVVVlsTAEFSkVtfYEv9fjCTZ2QtPvv0OxlVUrHg+7y0REIBDwer2BAG+vMaqrq30+X/3oW7OSkpKaTQpNQeJ0Ouvq6uqf1tbWJicnn3fOuHHjxo0bJyKPPPLIxIkTX3zxxQULFjidTq/Xe+43Op3Oxl7F4XDcddddqalnJwkUFBRc+Cr1LBYLQWigQCDQxP8OWqg6GGyVaktObjTqmn7/M5OV49VKcnJiZFoX7wKBgM1ma+JPGSItMTFRexBarc13fGoKkrZt23q93lOnTrVp00ZEioqK2rZt28T5ffr0+eSTT9RvPHr0aDAYVJtSVFQ0YsSIRptis91xxx1ZWVlammT9Jy0nQ3e8+RHl8QVdDqu18TvzNv3+pzmCVZWafv8RBkVR+Pk3UCT++Gu6VuvWrYcOHbpw4UIROXPmzCeffDJmzBgROX369JIlS9RzSkpK1Ac1NTXvvvtuv379RGTAgAFOp1NdVvHdd9/t2LGDiaNAszz+Fm2xxjpCICRauxZ///vfjx49euXKld99993tt98+YMAAEfn+++/Hjx//s5/9TERuvfVWv9+fnZ29c+fOSy+99PHHHxcRm802Z86ciRMnDhw4cOvWrc8884xaUwJoQktuzCvciQkIkdYgHDhw4L59+7Zv356Tk9OjRw/1YL9+/Q4fPqw+Xr9+/a5duyoqKi655JKCgoL6bxwzZsyQIUN27txZUFBwySWX6Nt64KJU1YIb84pIqt3i9jY60QbAeUL4bXO5XMOGDTv3SGJiYn22JSYmqt2hF8rOzr7++uvDbSEQX6r9YreKrQUjIKl2KkIgBIz3AubSwm1lhAX1QIgIQsBcPC3bcVuYLAOEiCAEzKWFd+WVHzfdBqAJQQiYi6dld+UVNt0GQkQQAubibvEYod0qCRapZQswQBuCEDCXFi4iVLHvNqAdQQiYSwu3lVGlOSweH8OEgCYEIWAuLR8jFDaXAUJBEALm4tYlCJkvA2hGEALmUuVXUmwtHiNkKSGgGUEImEvL1xGKupSQMUJAG4IQMBddxgjT6BoFNCMIAXOp1KUipGsU0IwgBMzF7VPSWryOkIoQ0I4gBMzFrUdFmGa3uBkjBLQhCAFzcXt1CUIqQkArghAwF30qQgdBCGhFEALm4vYpLkdLxwhdVISAZgQhYC6MEQJRRhACJuILil+RpISWXocxQkA7ghAwEV3KQRFJs0ulV4frAPGAIARMRJdFhEJFCISCIARMRLeK0MEYIaAVQQiYiI5do1SEgEYEIWAiegWhwyoWkbqADpcCLnoEIWAibq8+Y4RCUQhoRhACJqJXRSgMEwKaEYSAibh94nLocyk2lwE0IggBE9GzIiQIAW0IQsBE9FpHKAQhoBlBCJiIrhWhpdLLGCHQPIIQMJFKPW5GqKIiBDQiCAET0XXWKEEIaEIQAibCGCEQfQQhYCL6jhGyjhDQgiAETMTtkzSd1hFSEQIaEYSAiXj0qwhd3JIQ0IYgBEykwqu4GCMEoosgBMwiqEiVX7eKMN1hqWSMENCAIATMwuOXFJtY9SkIxeWQCrpGAQ0IQsAsKryKy6FTDIqkOxgjBDQhCAGzqPRKuk5TRkXEZbdUsMUaoAFBCJhFhVdcOg0QiloRMlkG0IAgBMyi0qdnRWi3is0qNX7dLghcrAhCwCz0HSMUEZddKigKgeYQhIBZVOraNSoiLgd3YgKaRxACZlGha9eoiKTbWUEBNI8gBMyiUveuUebLABoQhIBZVPp07hpNd7CCAmgeQQiYRYWu6wiFfbcBbQhCwCx0nyyTzi5rgAYEIWAWlT4lnTFCIOoIQsAsKrzi0rlrlOUTQPMIQsAs9N1rVNhlDdCGIATMQse78qpcrCMENCAIAbPQd69R4d68gDYEIWAK/qB4g5Js0/Oa3JsX0IIgBEyhQu/V9MI6QkAbghAwBd33VxPWEQLaEISAKVR4JV3vipAt1gAtCELAFMq8kpmo8zVdDqkOiD+o82WBiwxBCJhCWZ2Smahz16iFe/MCGhCEgCmUeyVD17UTqgyHpbyO3lGgKQQhYApldfp3jYpIZqKUMV8GaBJBCJhChVfnHbdVGQ4pr9P9qsBFhSAETKGsTjIj0TWaaCln4ijQJIIQMIVyr2REomvUIWVUhECTCELAFMrqlMwIdY0yRgg0iSAETCFSs0bpGgWaQxACphCpWaN0jQLNCWGv+/379y9ZssRqtY4fP75Tp07nfbWmpmbVqlWFhYVJSUm33nprr1691OOrV68+cOCA+jgxMfHnP/+5Lu0GLjIRqwjpGgWaobUi3Lt375VXXul2u8+cOdOvX7+DBw+ed8KTTz45e/Zsv99/4sSJq6+++oMPPlCPz5s3b9GiRdu2bdu2bduOHTv0bDtwESnz6r+zjIhkOixlLKgHmqS1Ipw9e/aECRNmzZolIhUVFS+//PKcOXPOPeHpp59OTU1VH2dnZ7/yyit33nmn+nT8+PGTJ0/Wr83AxcYblIDeNyNUURECzdJaEa5Zs+bmm29WH998881r1qw574T6FBQRRVGSkpLqn27ZsuXll1/+9NNPg0F2/wUaUFYXkbUTwqxRQAOtH0FPnDjRpk0b9XFubu6JEycaO/PIkSOzZ89esmSJ+jQ/P7+8vPzgwYOvvvpqbm7uqlWrHI6GR0JqamqmTZuWmHj270G/fv0mTpzY2KvU1tYGAgGbLQIfoaFBbW2t3a73TYPi2Em3pNsTamtrNZ6v/f1PFsuZWov2K6NZgUDA6/VaLPr3Y0OL2tpaRVESEhI0nm+325s9WWuQWK3W+nquiQQ6ffr0LbfcMn369OHDh6tHXnrpJfXB888/37t377/97W+NxVtCQkKfPn1SUlLUp506dWqi9Qn/pLH90Bdvvr4q/ZKZKNrfUu3vf6skKfeGcGVowc+/gUL946/lI4vWIGzbtu3x48fVx8ePH8/Ly7vwnLKyshtvvPH2229/4oknLvyq0+kcOHDgvn37GnsJh8Nx//33Z2VlaWmP3++32+1UhEax2+1UhDryBJXMxIDdrvXnWfv7b7eL1eLzW+xOfld0YrVaFUXh598o6g+/vh9EtI4Rjhw5sn4i6LJly0aOHKk+3rx5s9vtFpGKioqbb7556NChv/3tb+u/S1EUv9+vPvZ4PBs2bOjRo4dubQcuFpG4GWG9zEQpY0090DitnxJ/+ctfXnXVVXfffXcgEFAnv6jHr7322pUrVw4dOvQ3v/lNYWGhy+UaMWKEiOTk5CxevNjn83Xs2HHYsGFJSUlr1qzp0aPH+PHjI/VPAWJWhBYRqjIclnKv5CdH6vpArNMahO3bt9+1a8dBMGYAABDVSURBVNeKFSusVusbb7yRnp6uHl+1alWfPn1EZPLkybfffnv9+eqsUYfD8dlnn3399dc+n++hhx666qqr9G4/cDEoq4tgEGYmyhnmygCNC2HcIDMz85577jnv4JAhQ9QHPXr0aLDbs1evXvW7zABo0OlapW1KpLpGWyVaSusUEWY5Ag1jr1HAeKV10ioy6whFpHWSlLLdKNA4ghAwXmmt0jopchWhlNI1CjSOIASMV1onrZKaPy08rZLUrlEADSMIAeOdro1g12irRDlNRQg0jiAEjFdap7SKXNdoEl2jQFMIQsBgAUXcPsmM2PKJ1nSNAk0iCAGDldVJul2sEVvdwGQZoGkEIWCw07UR7BcVJssAzSEIAYNFdBGhqBVhnZCEQGMIQsBgEV1EKCJ2qyQnSCW35wUaQRACBovoIkIVvaNAEwhCwGARXUSoYikh0ASCEDBYRBcRqlhKCDSBIAQMVhr5ipClhEATCELAYKV10jrSY4QsJQQaRxACBov0rFERyU6ynKYiBBpBEAIGK66RXGdkXyLHKSdrIvsSQOwiCAGDnaxRcpyRrQgJQqAJBCFgpNqA1AUkPWI7bqtynJaTNXSNAg0jCAEjnapR2kS4HBQqQqBJBCFgpJM1khPhAUKhIgSaRBACRopOEDptYrOI2xfxFwJiEUEIGOlkjZIb+a5REclNpigEGkYQAkYqjkpFKCI5TimujsYLATGHIASMFIW1EyqGCYHGEISAkaIzRihMHAUaRxACRqIiBAxHEAJGoiIEDEcQAkaKYkVIEAINIwgBw9QFpNovGRG+GaEqx2kppmsUaAhBCBjmaJXSNtkSjXpQpF2KHKmKyisBsYYgBAxzpErapUTptfKTLSU1ij8YpZcDYghBCBjmaJXSPjU6BaEkWKSN03KC3lHgAgQhYJijUawIRaRdihyldxS4AEEIGOZoldIuJUoVoYi0T7Ec8VARAucjCAHDRHOMUKgIgUYQhIBhjlYp7aNYEbZLsRytoiIEzkcQAoaJctcoFSHQIIIQMEZdQCq90iYq+6up2qdajlARAhcgCAFjHK1S8qO1ml5FRQg0iCAEjHGsWtpGcaaMiOQ5LadYUw9cgCAEjHGgUumUFs2CUGxWyUu2FNE7CvwUQQgY40Cl0sUV1SAUkQKX7K+M8msCZkcQAsbYXykFrmi/aIHLsr+CihD4CYIQMMb+SqUg6hVhF5flgJsgBH6CIASMccCIIKRrFLgQQQgY4HStiEhWVG7Je64udI0CFyAIAQPsr1S6pke7HBSRApflB48SJAqBcxCEgAEMGSAUkWSbZDosx6pJQuBHBCFggAOV0iXqU0ZVDBMC5yEIAQPsKVd6ZBhQEYpIjwzLnjIqQuBHBCFggK9LlT5ZxgThZVmWb84QhMCPCEIg2mr8cqRK6WbEZBkRuSzL8jVBCJyDIASibWeZ8i/pFrtBv3yXtbLsLmPiKPAjghCItm/OKH1aGVMOiojLLtlJlgOVJCFwFkEIRNs3Z5TemYYFoTBMCPwUQQhE284zymUGzZRRXZYlBCFQjyAEosoflMJS5YrWRgbhla0tm0oIQuAsghCIqh1nlA6plujvMnqua3OtX53kVvXAWQQhEFXripXBuUaWgyKSlSiXpDJMCJxFEAJRZYYgFJHBuZYviglCQIQgBKJJEfnyZNAkQbiOIAREhCAEomlHqZLusOQnGx+EQ/Msa08EfQwTAgQhEE3v/xC8s4PxKSgi+cmWgnTL5ycoCgGCEIiiZYeUMZ3M8ks3pqP1/R8oCQGCEIiW3WWK2yf9s01REYrI2E6WDw8HA9SEiHsEIRAlb+4L3t3ZYpYYFOmUZumQallxhCREvCMIgWhw+2T+d8HJl5rrN25aL+tLOwNGtwIwmLl+LYGL1bzvgsPbWjunmacgFBEZ18l60C3bTlMUIq4RhEDEldTKrK8Dv77cdL9udqv8qo91+kYGChHXQvjN3L9///z585cvX+73+xs8obKycsmSJYsXLy4tLT33eGFh4dy5c9euXduilgIxa9pXgQldrX0MveNEYx7ubvUH5S97mT6K+KU1CFesWDFw4MDNmzc/++yzo0aNUpTzP0GWlJRcfvnlS5Ys+eSTT3r16nX48GH1+J/+9KeRI0d+/fXXDz300LRp0/RsOxALnisM7ilTnr4iweiGNMxqkflDEp7ZHlh5jLIQ8UrRpl+/fvPmzVMUpbq6un379qtWrTrvhGeeeUYNSEVRJk2aNHXqVEVRampqWrduvW7dOkVRjh8/7nQ6Dx061NhLZGVllZaWamxPdXW1z+fTeDJ0V1lZaXQTYkCtX5n+lb/rO74T1TpfWff3f31xMHuRd/53AX0ve1Hy+/3V1Xr/j0Kzqqoqv9+v7zU1VYTFxcXbtm0bM2aMiDidzltvvXX58uXnnbN8+XL1BBG56667Pv74YxHZtGlTQkLCoEGDRCQvL2/gwIErVqzQM8YBUzpSpfxxV7D7e/6jVbJptC3XaXSDmjMox7L2NtvLu4ODPvIvORCs8BrdICCKbFpOOnbsWEpKSkZGhvo0Pz9/z549F57Ttm1b9XHbtm2PHz+uKMrx48fbtm1r+efSKfV4Y6/i9Xpnz57tdJ79m9G7d++bb765sZM3nwqsK7FarXTmGKOuzpKY6DO6FWYRUMTtl7qAlNbKiRr5tkK8QbmlrSweLAOyFZGgT++3yufz+fS+aEGKbBwpHxbJov2BB9YF8pOlq0uyk6RVotiskm7X99VimKIogYDYbPz8GyMYkP9X4G+bqnVUOyEhwWptpuTTFISBQMByzjrghISEC+fLBIPB+nMSEhKCweCF32i1WhubaKNeoaysrKamRn166tSpQKDRFU5ltcqZumBz/zpEiterOITpFWdZRdIdFkeiXJah5DqlS5rSMfXslxr/EW6RQCDQxG9HS9zeTm5vJ/6g7HPLD27LqVop81r8ipyp40PnWYqiBAJBW4Cff2P4/YrHGwhonuncbAqKxiDMz8/3eDzV1dXJyckicvLkyfz8/PPOyc3NPXXqlPq4uLg4NzfXYrHk5eXVH1S/ccCAAY29SlJS0rPPPpuVlaWlSTddotzWxW6zaWo/dOd2e9PSDL3Jenzz+XxJSUkRfYm+ydI3J6KvEKsCgYDXqzid/Pwbo7o6kJiYmJCg5+wzTSVV27Ztu3Xr9umnn4pIIBBYuXLl9ddfLyI+n68+566//nr1BBH5v//7P/WE/v37l5WV7d69W0TcbveGDRuuu+46HVsPAEALaaqoLBbLE0888e///u/79u3btGmT0+m87bbbRGTLli2DBg1SFEVEpkyZ0q9fv+nTpycnJ8+dO3fdunUi4nK5pk2bNnbs2AceeODDDz+86aabevbsGdF/DwAAIdE6yDZhwoSlS5d6PJ7hw4evXbtW7ZPs2rXrggUL1BM6duy4ffv2nJwcp9O5ZcuW3r17q8efe+65559//syZMw8++OCSJUv0avc333xz9OhRva6GUK1atUr3yRrQyO/3r1y50uhWxK/jx4/v2LHD6FbEr+3btxcXF+t7TYtywdJ4o7Rq1Wrfvn0axwgnTZo0YMCAhx9+ONKtQoM6d+68cuXKLl26GN2QeHT48OHBgwcXFRUZ3ZA4NX/+/LVr17755ptGNyROjR8//tZbb7333nt1vGYMT7s0T4QDiB/85TGc7v8FMRyEAAC0HEEIAIhrJhojdDqdV111lcalgXv37nW5XPV72SDKvvzyyyuuuKJ+GyBEU21t7datW6+99lqjGxKnjh8/XlZWxgR4o+zatatVq1Z5eXkaz7/zzjsnT57c9DkmWpC+YMGC1q1bazy5pKTE6XSmpqY2fyoi4NChQx06dDh32yBEjaIohw8f7tixo9ENiVPV1dVutzsnh+0GjHHy5Mm0tDR1dxctOnXq1Ow5JqoIAQCIPsYIAQBxjSAEAMQ1ghAAENcIQgBAXDPRrFGNSktLt2zZcuLEiZycnOuvvz7SN6NBgxRF+cc//tGuXbtu3boZ3ZY4EggE/vGPf9Q/7dChQ9euXQ1sT3zauXPntm3bMjMzBw8erHFLSOjiiy++8Hq99U/z8vL0WsQSe7NGJ0yYcPr06Xbt2u3atevEiRNffvnlhTdHRKT95S9/eeSRR6ZOnfrSSy8Z3ZY44na7XS7XDTfcoC5c+dd//dcHH3zQ6EbFl//4j/9YsmTJddddV1VVdfnll//Xf/2X0S2KI2PHjq2oqFAfb9y4ccqUKc8//7wuV469IDzXkCFDbrvtthkzZhjdkPhSVFQ0cuTInj17tm3bliCMJjUIvV6v3W43ui3x6KOPPvrFL36xY8cO7SueEQlqLVRYWNijRw9dLhjDY4TBYLC2tpafyOh7+OGHf/e736WlpRndkDi1bt26zz//vP6jMaLm7bffnjRpUlVV1erVq0tKSoxuTvx68803r7zySr1SUGI0CN99990RI0YUFBRcddVVEyZMMLo58WXBggWtWrUaNWqU0Q2JU/n5+bNnz/71r3/dqVOnjz/+2OjmxJcDBw6sXbv2rrvu+vOf/9y9e/ePPvrI6BbFqfnz599///06XjD2JsuIyIABA9LT03fv3j1r1qxx48YNHjzY6BbFixMnTvzud7/78ssvjW5InEpNTT1y5IjVahWRefPm3XfffSdPnkxISDC6XfGitrbWYrFs3rw5ISFh8eLFkydP5hNh9G3cuLGoqGjcuHE6XjO2xwiffPLJvXv3vvfee0Y3JF48++yz77333tVXXy0iX3zxhd1uv+eee371q18Z3a54VFVVlZqaevDgQS1bKUIXt9xyS69evV588UUROXbsWLt27crLy9PT041uV3x56KGHgsHgvHnzdLxmTFaE9U6fPu1yuYxuRRwZM2ZMfb/8/v37k5OT+/fvb2yT4tb27dvtdrv2PfjRctdff319d8j333/vcrn4+xNlVVVVS5cuXbFihb6Xjb0gHDJkyJAhQzIyMgoLC5cvX/7FF18Y3aI40rNnz/qFO5999pk6ld/YJsWVv/71r2vWrOnZs+eZM2feeOONp556inW00TRp0qTXXntt6tSpBQUFc+bMeeqpp7gBS5S9++67eXl5aqeUjmKva3Tt2rUbNmxwu93t2rUbN25cdna20S2KU2rXqO4/kWjCiRMn/v73vx8+fNjlcg0dOpQ3P/pOnTq1cOFCj8czbNiwYcOGGd2cuLNmzZrExMRBgwbpe9nYC0IAAHQUk8snAADQC0EIAIhrBCEAIK4RhACAuEYQAgDiGkEIAIhrBCEAIK4RhACAuEYQAgDiGkEIAIhrBCEQGz766KOsrKy//vWv9Ueee+657OzsLVu2GNco4GJAEAKxYdSoUWPHjp0yZcqePXtEZO3atU8//fTUqVO5ExbQQmy6DcSM2traq6++2ufzLV++/JprrunWrduqVau4Qz3QQgQhEEu+/fbb/v37W61Wp9O5Y8eO3Nxco1sExDy6RoFY0r179xEjRlRWVv7iF78gBQFdUBECseSdd965++67e/fufejQoW3btnXt2tXoFgExjyAEYsbBgwevuOKKm266af78+f3797fZbJs2bXI6nUa3C4htBCEQG3w+35AhQ06fPr1t2zaXy7Vr164BAwZMmjTplVdeMbppQGxjjBCIDTNmzCgsLFy6dKnL5RKRXr16/eEPf3j11VeXLVtmdNOA2EZFCACIa1SEAIC4RhACAOIaQQgAiGsEIQAgrhGEAIC4RhACAOIaQQgAiGv/H67oKE9i6DGpAAAAAElFTkSuQmCC\")
"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(3:0.01:7, c5, xlabel=\"x\", label=\"c0(x-5)\")"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "06bf7a03-545d-45b8-ac56-f5a8d942d6c1",
"metadata": {},
"outputs": [],
"source": [
"# savefig(\"figconcentration5.png\")"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "db1a9a6a-e911-4005-9b0a-a62a4b07d928",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"c5t (generic function with 1 method)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"c5t(x) = exp(-(x-5)^2/4)/4"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "9785641b-096e-4897-96e2-b1b49d5061ae",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
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\")
"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(3:0.01:7, c5t, xlabel=\"x\", label=\"c(x-5t)\", ylims=[0,1])"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "530d47a5-9edc-478b-baed-d2ff71d0fa20",
"metadata": {},
"outputs": [],
"source": [
"# savefig(\"figconcentration5T.png\")"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 1.12",
"language": "julia",
"name": "julia-1.12"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.12.4"
}
},
"nbformat": 4,
"nbformat_minor": 5
}