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documenting beautiful publication-quality work ``` - :::{admonition} Personal Goal :class: tip I have hopes of getting a paper outlining my work submitted for [NuerIPS 2025](https://nips.cc/), so it is my personal motivation for doing this as well :) ::: - ### Pre-requisites diff --git a/_sources/notebooks/00/00.md b/_sources/notebooks/00/00.md index bc2e4d7..7d286c9 100644 --- a/_sources/notebooks/00/00.md +++ b/_sources/notebooks/00/00.md @@ -3,6 +3,7 @@ ### Packages - numpy - matplotlib +- scienceplots - pandas - scikit-learn - [tensorflow2](https://www.tensorflow.org/tutorials/quickstart/beginner) diff --git a/_sources/notebooks/00/NB_0_2.ipynb b/_sources/notebooks/00/NB_0_2.ipynb index cb0fedc..d9e4cb2 100644 --- a/_sources/notebooks/00/NB_0_2.ipynb +++ b/_sources/notebooks/00/NB_0_2.ipynb @@ -24,6 +24,17 @@ "cell_type": "markdown", "metadata": {}, "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "vscode": { + "languageId": "plaintext" + } + }, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/_sources/notebooks/00/NB_0_3.ipynb b/_sources/notebooks/00/NB_0_3.ipynb new file mode 100644 index 0000000..d879d54 --- /dev/null +++ b/_sources/notebooks/00/NB_0_3.ipynb @@ -0,0 +1,550 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Section 0.3 - Science Plots\n", + "\n", + "This is the third notebook." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + " \n", + "
\n", + " \"Open\n", + "
" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import scienceplots\n", + "\n", + "import os" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def model(x, p):\n", + " return x ** (2 * p + 1) / (1 + x ** (2 * p))\n", + "\n", + "\n", + "pparam = dict(xlabel='Voltage (mV)', ylabel=r'Current ($\\mu$A)')\n", + "\n", + "x = np.linspace(0.75, 1.25, 201)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "with plt.style.context(['science', 'scatter']):\n", + " fig, ax = plt.subplots(figsize=(4, 4))\n", + " ax.plot([-2, 2], [-2, 2], 'k--')\n", + " ax.fill_between([-2, 2], [-2.2, 1.8], [-1.8, 2.2],\n", + " color='dodgerblue', alpha=0.2, lw=0)\n", + " for i in range(7):\n", + " x1 = np.random.normal(0, 0.5, 10)\n", + " y1 = x1 + np.random.normal(0, 0.2, 10)\n", + " ax.plot(x1, y1, label=r\"$^\\#${}\".format(i+1))\n", + " lgd = r\"$\\mathring{P}=\\begin{cases}1&\\text{if $\\nu\\geq0$}\\\\0&\\text{if $\\nu<0$}\\end{cases}$\"\n", + " ax.legend(title=lgd, loc=2, ncol=2)\n", + " xlbl = r\"$\\log_{10}\\left(\\frac{L_\\mathrm{IR}}{\\mathrm{L}_\\odot}\\right)$\"\n", + " ylbl = r\"$\\log_{10}\\left(\\frac{L_\\circledast}{\\mathrm{L}_\\odot}\\right)$\"\n", + " ax.set_xlabel(xlbl)\n", + " ax.set_ylabel(ylbl)\n", + " ax.set_xlim([-2, 2])\n", + " ax.set_ylim([-2, 2])\n", + " fig.savefig('figures/fig03.jpg', dpi=300)\n", + " plt.close()" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "with plt.style.context(['science','no-latex']):\n", + " fig, ax = plt.subplots()\n", + " for p in [10, 15, 20, 30, 50, 100]:\n", + " ax.plot(x, model(x, p), label=p)\n", + " ax.legend(title='Order')\n", + " ax.autoscale(tight=True)\n", + " ax.set(**pparam)\n", + " fig.savefig('figures/fig01a.jpg', dpi=300)\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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4+PiHIkxQo9Hw22+/sWTJkizFBTjy+xkcXezoNTrPcvj8cVjxEfzqCfXyGI2Ct8OJ12H0PqiVvUUUkHiXIRc+4D8NR/Ne46eLlOeuJolnlh2jZX17DnzyGNaWlf1f/N+Tc8KaN29eSGZ7Zb8AmAAZhs+mOT5XSfr06YOPjw+gZO3IDDuszuzatYu+ffvSsGH2DBrqH47vmSCGv9Av9wwZdhvenwBf/AqNmuYeKOwkHJsBo3bnU9wB59/lI49ni1XcK7djGDR/P2N7uPHjyz2rheIWRWUr730g0/RnB0RWoiylJiEhgWXLluHr68vSpUvp3r07kZGRbNmyBYChQ4dWsoTlS0ZGBvv27WPUqFFZbVIv2b/Rk4ETemBlk2MPVa+H/06CZ9+AXkNyDxRzA/aOU95xa3fOar6VfJ/BF2Yzv8lkXmowvEhZDl0J4/FFh1k4sRNvj2xd5LK62iAfsOxmaX+Ao3mOXYHBwH8Nx18Bwwq6trgSiiqVw/nz5+Ubb7yRq833TJBc+9EWqc/Q5z5500opn+8lpU6Xuz0lVspNzaW8tjZX872UKNnk+BS5POTPYuX45Wig9Hhtm/T0u/9Az1GVoCJLfBaV+hXFYDVCCJG5wbevvOVRKTsuXryYKy2ulJJTf1+iz5guiJw5ne4Ew/dzYYOnElSQfQEcngb1B0HrF7Oa43WJDL3wIdPqD+FNtyeLlOGb3b6sPeTP3g8H06zew5VDrNyXzVLKBCnlMillHSnlUsNxrJSyp5RSL6V8R0q5RUr5vuGbJR+Z1uYcFjcVI+DChQt06dIl6/jOjTBSk9No3tk994mLZ8GUd6Fxi9zt3kuUoPk+2VmBdfoMJvgspLdDGz5sPLHQe0spWfinD78cC2LvR489FIqrukeqlAnR0dFERUXRrFmzrLZLh33pMrhN7ln34knwuwRf/ZZ7gChvuLRIcXnMsV87y381OpnBipb/KTJo/uPN3hy+GsbeDwfhYm9Vlo9mtOR1j6xsg5VKFcXf35+WLVtm7WWnJKYS4H2Ltr2bZ58kJSx5D177HCxzGK90KXBwEvRaDHbuWc3f3/mbA9EX+aP9x7kSm+dESsmsDefxvHGfXf99eBS3IKrEzKtifAQFBdGkSZOsY79zwTRu0wDrnFE6h7dDWgqMzONAc24u2DeDFpOzms7G+TEncAOnH/kGB/OCnSqklMzedAHvEA07Zw/Czqry80pVJurM+y/R6/W8/Xa2y7aPjw9SSgIDA0lOTq5EycqX4ODgXNUn/M4F07J7jmoUUsJPX8Irn0JOf+boK+D7E/RflRXWF5Ou5ZnLC/ih9Zs0sXYt8H5SSuZuucxp/0j+fPfRh15xQVXef4VGo2H58uVZUUWgvJe4urqyY8cOrKyq75Iup/KmJKVy50Y4TTvm8Ji65AlxGhiQwytW6uHYTOj+GVgrznRSSqZdXczjLj15qk6fQu/39c5r7Ll0l7/ee7TMSmRWdaqE8hqrtTkzqihnmZMVK1YQFhbGrFmzKlGy8iUxMZHY2FhcXZVZMtjnDg1b1MPSKodSrV8Mk97OvTXktx6kDtrMyGpacXs7d1Oj+ar5S4Xe79u9fvzv5E12zh5YpYLnyxrV2lzOnD9/HkdHR3x9fXn33XcrW5xy4fbt2zRs2DDLWBV8JZQmHXIEGIT4w+VTsChHpFd6Apz9BIZtB0OKGr/E23wWvIkzj6wotFrBltMhfLfXj/0fP0Zdh+q7kikJ1TYYX+wfUvxJpUQO2V/qa5YsWYKpqSk3b95k37591dJFMjw8nLp1s5e9N6+G0mNkjlxTW9fAmBfAKkdCN+8l4Nof6nQDlLxTU68uZl6TyYW+5570u8/7Gy/wzweDaFhNAujLkmqjvA+iaGXNunXr0Ol0TJ8+HSsrK3x8fKqt8tarp8THasLiAHCu56B0pqfDPxthfY7IzsQw8FkB4y9kNS0J2Ya1iSUzG2b7RefE724ck7/1ZN1/etOmoUN5PEaVp1DlFUKYAePJLoJdEyXqJwkl88X/pJQp5S5hFcLZ2TnLXTAkJKTaZtEIDw+neXNlP/eW3z3cWrlmO1R47oWGTcA9x37vhc+VbBiGPd3rCbf4OmQL53qsLDDLY1hMEmOXHGXBxE4MaFN0QrmHmQKVVwjRDegLHJBS/lZAfxNghhDispTyWL4BHhISEhL48ccfs6KKXnrpJdatW4etrS3169fnscceq2wRy4X79+9nfTGF+ofToHkOBduxHp6Ymn2cEAoBv8FEP0BZZs+4vpx5TSYVmOkxKVXHM8uOM3VAEyb2blyOT1ENkAVHALUrqL2A8zwAi5Kc+29+pkyZIufMmSOPHDny70IyVMqEyZMny7t370oppfz27U0yIjRa6dBEStnTXsr42OyTj78mpee7WYe/3N0vu55+Ver0eaKLpJR6vV6+sOqkfPF7T6nX6/P1P+wcOXJEAutlUVFFUsorhSm7EMJeShlnOC+47L9O8lOVrM3VHZ1Oh0ajoXbt2mhjEklNSqVWPUel88BW6DMcbO2V44S74L8JJvoCEJuewGz/n9jZaV6BaVq/2e2Lf1g8+z9+7OGIxy0lZeHbPK+MZFGpgkRFReHg4IC5uTn3giJwbeKSHYhw8E94bFz2yZeXKe+61nUA+CTwFx536UE3+xb5xj3gc4/v9t3gtzf7YWVRbeyo5Uqxf0tCiBrAY8ATwFDAHHirNDcpLL2rEMIUGAekAvWBVVJWgYLBDzHR0dE4OzsDEHYzknqNDQXF4zTg4wXL/1KOU+PAbx08reQX9I4P4o/7x7jea22+MQPC4pmx+jSb3uhLA2d1S6ikFDjzCiFqCyGmCSG2A7eATPeX9kCp0jTmTO8KmAshcppgBwA3DH3hQKd8A6gYFRqNBicnJyBTeQ1J9o79A48MAmuD8vmuhUZDwbYRUkrevvED85pMxtkid9xtUqqO51ee4OOx7enVwqUiH6XKU9jM+wkwDPgJeEZKmSqEmCyljAEOl/IeRaV3TQfmCiGeR0mLU+DYJUn9qlIxZCqvlJLwm5HU8zAo78E/4bGxyueMdPD5BoYps/CeqHOEp2l4qX7+PFSzNpynXSNHXni0ab4+FYVSpX6VUr4BIIToDkwVQpgDjQ2/u0spPUtx70LTu0opjwshpgHXgHmGL4d8qAYr4yEmJgZHR0fioxMQJibYOtaEpAQ4dwQ+X6+cFLwN7DzApQsZMoP3/X/ky2YvYmaS20i16UQwZwOjODZvqGqgKoLCUr8W+c4rpTwLnAUQQjQGngfeBdqU4t6FpncVQtQDTgEngflCiP1SytBSjF1ppKWlsWbNGlJSUtDpdHzwwQcPRZExjUZDq1atuH8rmjpuyrsvpw9Au0fAzkE5vvY9tHsdgF/uHcDR3JbHa/fMNY7f3Tg+2nyJ3f8dhE0NNbzvQSixWU9KeRO4KYTQlPIeRaV3nQ58IaVMF0LcBMYA35Zy/Eph69atTJw4EWdnZ8aNG8fnn3/+UBQZy1w2R4RGU6eRQXlP7lW2iEApDhbrD+5PkJSRwqeBG9ja4ZNcM2tiqo5J355k/tMdad3AoeIfoppQ7FaREMJOCGFp+OyBssQtDSdRDF0A3QEvw1iugAAyw0l8gOhSjl1p3Lhxg99//x0ADw8PMjIy8hUZq47ExMQoyntbQ+0GTkrQ/al90Nvgw319NbR8AUzN+fb2TnrYt6SHQ6tcY7z363k6uTsxqZ9HAXdQKSklmXlbA+8L5avzDIpVOLAU9zhMnvSuQggHlNSvI4BXhRBhhr6NpRg3N6vK4Z3pP4XvWs2ePTvTy4zLly/ToEED+vRRgsmrc5GxzJk38s5Fej/RWQn/y8gAj1agSwb/jTDuPAm6ZJbc2sqRrl/nun7HuTt4+kXg+flw9T33X1Ks8kopvYCnDMaq0UBcaW4gpdQD7xgOtxh+x5Id8PBVcWNkWpuLtDQXoWjlgbW1Eu524sQJBg4cSEhISLUvMpaRkUF8fDw21jbERsZTy9UBNm9UZl0hIPAPcOkOdu58e3MzA5060trGLev6e5ok3v7lHJvf6qe+5z4AeYPxS7Js7iiE6AlkSCn/JHuZW2FkWpuNbYsoJiaGEydOMHv27IeiyFhsbCy2trbERmhxcLHD1MwUPPdB72HKCddWQ5tX0OqSWBqyjU88nsu6Vq+XzFzrxfRBzejetOiauioF8yDukfdR9mo3CiEOAZOEEF0M3lEPNZs3b2b27NnodLqHoshYfHw89vb2aO7H4VTXHlJT4NJJxTkj+gok3AG3EXx7eweDnTvnmnW/33+DhBQd7z1emo0KlaIoVnmllGFSysVSymeBIcA3KO6S35e3cMbMmjVr+OCDD6hTpw4uLi7Url272hcZi4+Px87OjpjweJzq2IP3KWjSBuwdlfxULaeg1aex7NafuWbda3di+frva/z4cs9qVZm+ssn3zmuwLNtIKfNZfqWUGShGqzOGcxtKKe+Uu5RGyIwZM5gxY0autqVLlwIwfvz4gi6p8mi1WmxtbdHcj8O1iQuc2wPdHwW9DgL+B08c5fs7/zDIuROtbJRMkuk6PS+vOc28pzviUce2kp+gepHva1BKmQr0FEJMFEIUmPFLCOEghJgOuBXUr1I90Wq12NjYEHM/Tpl5zx+DbgMg9BDYNCTVvjHLb//JB42fybpm2a7ruNjXYLK6LVTmFOYe+Y8Qoi7wthDCBahhODcDSAbuAGsz43rLmxJZm1XKHa1Wi52dHZqbcTg6WMD1C9CxF3i+As0n8eu9Q3Sw8aCDrVJJ4ertGFbtv8HJ+cPUbaEyoMSpX6WU4cDCcpeoBKi+zcaBVqvF2sqa6IRE7EKvQLN2SoDorX/I6L2Yry9+yOrWbwLKcnnmWi/mPd1RDfMrI9RCYyoPjFarxRRzHFzsEBeOK0vmoD+hXl92agOxN6tJf0fFmW757uvUslWXy+WJqrwqJSY+Ph7STXCsYw/njkLX/uD/K7L58ywK+YPZjZ9GCMG1O7F8t+8GK1/ori6XyxFVeR+Q1NRUNmzYwLZt25g2bRoJCQnMnz+f7du3s2DBguIHqIJotVoyUiROtWrCtfPQrDFEXuCkfWM06VrGuPQiXafnlR9PM3d8B3W5XM6UxMPKOvO3EKKfEKLg+ovliDHWKjp37hz79+9n7NixxMfHc/jw4ayoovT0dI4fP178IFUMrVZLeoIeR50GmrSG8D3Q+Am+CN3Be+7jMRWmrNzrh5ONJVP6Nyl+QJVSUWr3SGACgJQyCSX2dkzZi1U0xuge2bt3b1auXAlAREQEly5dqvZRRVqtlpR4HU7RAYqVOWgLIa598dYGManeYG5GJPDNbl++maYul8uDEhushBDjhBCbUCKKDgshjgAHgC7lLGOVQAiBTqdjyZIlTJs2jYiICGrWVJaJ1TWqSKvVkqRJxfHmeWjRAmJ8+SI9ilcbPo6liTlvrz/LWyNb4V67whdnDyVFbRVtFUKcAbpKKf/KbBdCtKwQyUpLu3L4pr9SdKRS7dq1mTVrFmPHjkWj0WR5VlXHqKKUFKWyTVqiDrvgIzCuJSk1h/FHpBf+LX5my+lb3I9L4bWhxvnfozpSXBqcO0KIDkKI1Sg7egLoDHQo6rq8FJb61dA3DGgGSGCdlDKxgCGKpxhFKw+klAghaNGiBUlJSdU6qkir1VLTuib2DpaYmFtA7EF2uPZkrG09TNOs+PC3w2x+qx/mZqoNtKIoyd90W2AxSrL1ucAfpblBUalfhRDOwBQp5UqgDlBlvrYXLlyY5TgSHBxM48aNq3VUkVarpYalFY7mqdC2EzLmOrOTb/Fmoyf55HdvxnRrRNcmaqhfRVKSTBqXgWBDUAJCiLOlvEdRqV+fwRDkAHxu8KvOhzGmfn366afx8vLi559/xtnZmddee4333nuv2kYVabVaLMwscUoOhwZm3HTpShNbd+Lu1uTQlTDOfjGyskWsthSW+lUUV6BACOGJkkBOg7JsbiWlLHHdRSHEd8CfUspDQohBwHgp5SuGvlUoJUOPAO2ARQVVTJg7d65U3SMrl5MnT/Lbuj+Ypo2iS19fZjWrT+8O/2XB8hjmju/A410bVraIDwVCiHlSyrlQspl3oZRyV46Lh5XyfoWmfjUcx0kpdwkhWqPktNqFitGh1WoROhOcInzJMA9ir1VbnL1saF4vQ1XcSqIkwfi7hBCmQghbIYSZlHJvKe9RVOrXe4YfUGb2tqUcW6WCiI+PR5+sx7G24JSzB086DmfNgUAWT1J3DiuLknhYvQJsQiku5iCEGFf0FfkoKvXrYaCBoc8JxSKtYoTExcZBhhk1nSL4wcKKs7vt+WBMW9UFshIpibU5Wko5ATgrpYwq4TU5OQzULij1q5TyBIAQ4kVAL6XcU8qxVSqI6CgNdkKPdIgk3no46SmmzBjcrLLFeqgpyTtvRyFEDFBPCNEXaF6aGxSX+lVKWWy9XzUYv/KJiYrBOS2OfR61uHygIbtefQRTE3VPtyIpcTB+Dj4H5gAdgfPA/LIXq2jUYPzKJy46imb6eHbadWByp460d3OsbJEeOvL6NpdEed8CvpJSlrZGUbXHx8eHdu3aERQURP369fn666+rbaExbXwcLpaxnAgaxcX32lW2OCqU7P1Vl1NxhRCjy1GeKsWAAQNwdXVlx44deHp6VuuQwOS0VNKcElkx6mlqWpa4Pp1KOVIS5R0qhLgphDhqiCz6obyFqiqsWLGCsLAwZs2ahaenZ7UNCZRSkqrXEVKvMUM71q9scVQMlOQr9Dcp5U+ZB0KISeUoT5Xi/PnzODo64uvrW61DAvcf2wEInpr+RWWLopKDkiivixDCMbNqvZTy13KWKR8lsTYveL7sFwQfbXylyP4lS5ZgamrKzZs3OXz4cLUMCczQ6/Hb/g0WwpYmDd0rW5yHmgexNutQtnYA5Z1XSvl3GctVJCWxNhenaGXNunXr0Ol0TJ8+HSsrK27fvl0tQwK/O3SNBpFJ1DBTrcuVzYOkfh0KBKvvvLlxdnZm9GjFdhcSEsL27durXUjgPU0S33n/Smq8LTbWanYMY+NB3nk/LUd5qgyjRo1i5cqV2NraUr9+fQYNGsSePXuqVUjguxvPM6bBEaIy3LBzcq5scVTyUBLl7SOE6J3juCuV4KhhbJiYmPDmm2/maqtOhcZ2XQzFK8mHD++EsNWiPQ61VeU1NkqivPfJLufpTCndI8sC1T2yYtEmp/PuhvO0Gn2dFn/GE2tmTbNaTpUt1kNPqQ1WUsoPchzeEkJUeGVA1T2yYvl8mw8dO5jjFnsa4lxJ1Etquagzb2VTavdIIYQvEIaSRUMHHCwf0VSMgQvB0Ww9c4vB0+/y8tUk4u9bgGMG9g72lS2aSh5Ksmz+MGfqV5XqS7pOzxs/n+XDZ1qyJGwt34eHESzagQXY2qqFsY2NAreKhBDvCyF+EkK8g2GmFUIMFEJ0fpCbCCE+FUKMEUIU6K0vhHAUQnz1IGOrlB3LdyuFsKPqX2G2NMVE15EY967ohU5VXiOksH1eb+AnKeVSKaUWQEp5GIgQQgwpzQ2KSv2ag2cBl9KMayzo9XrefvvtrOOCio1VhQJk10OVyn5LpnZi5e0djNWGQ7QdGuempGWkYWdnV9kiquShsGVzXSnlhryNUspQIUT/Ut6jqNSvCCGaA7eAboUNYIypXwE0Gg3r16/n2LFjABw8eDArssjb25vjx4+TlpaWr61fv4K+vyoPXYaeV9Z4MWdcB06knaWPuQM28UEQmIamtROp6cnqzFuJFJb6tTDlLWoWdC3lvV2AzCoICUDetLFtgYtAobmxjNXa7OTkxDvvvMPOnTsBCowsEkLkazM25f1mty8ONS2Y0t+DDl5f8Qe2UG843NmBphEkJSepyluJ5Jyw5s2bF5LZXtiy2UEIMSpvo6GttGbHQlO/Gpw/PEs5ntFSUGSRsUcb+d2NY8UeP1a+0J190ecxwYSWYachtTUZLbsQo4nH1NQUCwuLyhZVJQ+FzbxzgQ1CiC8AX0NbS+AKMKWU9ygq9WsLlDpFtYCmQoheUspTpRwfgGHDSptOunj27i1dllu9Xp8VTZQZWVRQm7Ggy9Az80cvPhnbHrfaNkw7t4W5tXsj/LZBYjKxrfthGWqKvVS3iYyRApVXSqkDnhVCdAUy33EXSSkvPMA9TqK8z+5CSf16GJTUr1LKnw2f3YG2D6q4UHpFKw/q1KlTYGSRsUYbfbvXDytLU154tCkX4v0JSLrL47ImNH0GNngR3e9lrBITsUM1VhkjRUYVSSnPSymXGH4eRHGhiNSvAEIIK+B1oLsQYsAD3sMo6NOnT77IooLajIGrt2NYtsuX717sgYmJYHHIVt5sNAZT/43Q5Fm4epZoK1csbU1US7ORUu65O6WUeinlO1LKLVLK96VCrJQyM/VrspRylpSytZTyaEFjZFqbc1jcjIKEhASWLVuGr68vS5cupXv37kRGRuaKLBo4cGC+tsomJS2DF384xYKJnWjsYkNA4l0ORF9kprkzmJhBpID6jYmKScPUGuzt1WWzMZDXt7nYQmPGgFporGyZvfEC92KS2PBaH4QQTL36NY2t6jIn9BTYNFRs/5pI1qf0Q18nnlSZxMyZMytbbBVyFxpTs2Y/ZBy6EsbO83f4Zlp3hBAEJd3j70gv3qg/HAL/gObPw9kjyG4DiL4XS4ZIV5fNRoqqvA8RUdoUZq714ocZPXCysQRg4c3feLXh4zjePQa1OoBlHfDxIqnFIwAkpyapy2YjRVXehwQpJa+uPcPTPd3p31rxk7mZFMb2iFO85fYk3NgALSbDZS/waEW0VuLs6kB8fLw68xopVUJ5jdVgVZVYvtuXiPgUPh3XPqvti5ubeaXBKJzSEiDsOHiMhXNHoNujRIfF4lzPgbi4OHXmNRIeJHtkpWOs7pFVhZN+9/l2rx9H5wzFwkxxEvFPDOXPCE9u9P4ZfFZAk6fBwhbOHIYZHxF9S1He+AvqzGssPEj2SJUqTHhsMi98f4rV03vQsFZ2Ld0PA35mlttYnM1qwvU10OYVSNSC3yXo1JvoezHqstnIUZW3GqPL0DNtlSdT+zdhcPvseBKvWF+84vx40+1JuL0XrOtC7U7gdRA69ARrG6LvxeJcV1VeY0ZV3mrM3C2XsTQzYfaYtlltUkre9/+ReU0mYW1aA66vhtYvK53Hd0HfEaSn6dDGJmFmLahRowbm5uaV9AQqRaEqbzVl04lgdp6/w9qZvXIVwf4n0ovodC1TXIdAXCCEn4ZmE0BKOLEb+o0k8o4Gp7r2xMbF4uysJp4zVqqE8qrW5tJx2j+Sjzdf4o+3+1PLtkZWe5o+nfcD1rKo+YuYmZiCzzfQegaY1wQ/b7C2Abdm3L8dTZ1Gzmg0Gpyc1JSvxoJqba7m3IpMYNLKE6x5uSct6+fe4ll6axtNrFwZWesRSIkB/40w4ZrSaVgyA0RkKW8kjo5qjSJjQbU2V2Oitak8tfgos0a34bH2uROehCSHszhkKyta/gchhGJhdhsNNQ3nHd8FfUcCcP92NC7qzGv0VMjMa6hv5AO0kVIuyNFuAcwAagBmUsovK0Ke6khiqo5xS48yonN9Zg5pka//Tb/vecvtSTys64EuGa6sgJG7lM7wULjlD137IfWSiDsG5T2pMar4Y5XclPvMW0z2yHEohcwWA12FEMYR7FrFSNfpmbzyBC1c7Zn/dMd8/X9HnMY38TbvuRtCqq//CLW7Qi3Duft+h4FjwMISzf04alhbUNPOSp15jZyKWDYXlD0ykxbAM4bPwUCDCpCnWqHL0DN99SlMTATfvqBECuUkNj2BV/2+ZVWr17E0sQBdClxaBN3mZJ+0ZzMMnwjAvaAIXD2U/IMajUa1NhsxFbFsLip75CKUMioAHYCVBQ1grKlfKxtFcU8Tm5jG5rf6Y2aa/7v4Tb9VjKr1CIOdDfnyM2fd2obj24EQdhu6DQDgXnAErk0U5Y2OjlZnXiOgtKlfy5JCs0dKKZMAhBB9gcNSyjsFDaBam/Ojy9AzY/VpNAmpbH6rHzUs8ie22x7hiWfsdbx7Goo8pmnh4hfZ77qgzLpDxoOZ8l/hXlAErbp7IKVUl81GQmlTv5YlRWWPRAjhCPSVUi6qAFmqBSlpGUxb5Um0QXGtLPJ/B99OjuDl69+wod172JhZKY0Xv4CGQxRXSFAcM3ZtguETAEhP0xEZqqGue220Wi1mZmZYW1tX1GOplJKKUN6TQGYcWnfAC5TskYa2CcAiIYSZwbilUgRxSWk8teQIQgj+eLt/gYqbrtfxjM8CZrmNo5dDG6UxPkTZHuqxMPvEc0dBCOik1E6/F3if2g2csKhhTlhYGPXq1Sv/B1J5YCpCeQvNHimEmAF8iTI7Rxh+qxRCeGwywxcepFV9e9b9pxeW5gXngH7P/0ecze141z1HEYpT70K7N7L3dQE2fwcTXlUUGLjlew+3Vkp/WFgYdevmLW6hYkxUavZIKeUaKaW9lLKWlNJJSnmloDFU90g4HxRF/zl7ebK7G4sndc3lr5yTH0N3syfqHL+2ex8TYTgn+C/QXIFO72WfGB6qxO4+Pjmr6bZfGI1yKK+ra2kr26iUJ6p7ZBVk04lgPt58iW9ffISRnQvfTTscfYmPA9dzstsyHM0NtYVSNHDiNRjyO2S++wJsWQ0jn4OaynlpKemE3YykYXNltg0LC6NVq1bl9kwqpSeve2SVUN6HlaRUHR/87yLHr4ez58PB+XyVc3Iu7gYTfBbyR4ePaVazvtIoJZx4Axo/CfX6ZJ+cEA9b18C6Y1lNN6+GUr+pC5ZWSk2isLAwHn300XJ5LpWyQVVeI+XK7RimrfKko7sTx+cPx86q8Jjaq9qbjL70KWvbvMMApw7ZHb5rIdobxp7JfcGGpdBnGHi0zGoKuHSLph3dso5Vg5XxoyqvkZGu07N8ty/f7fPji2c7M7F34yLPvxDvz8iLn7CsxSs87tIzuyPKG7w+hCdPKCF/mWgi4X8rYfP5rCZ9hp5A71v0Gq1sISUlJaHValW/ZiNHVV4j4lxQFK//fBZXRyuOzR2KW22bIs8/qrnM05c/Z02btxjj0ju7IyEUdj8Bfb8Fx5a5L/pxoeIK2SD7S+HmtbvYOdngVFdZlgcHB9O4cWOjqmiokp8qobyZ1ubq6hoZFpPEZ9t82H/5HgsndmZ8T7d8Psp5WRu6hw8Dfua39h8yyLlTdkdqLPwzHNr+B5o9k/uiq+dg9/9gm0/uZk9/2vVpnnUcEBBA06ZN/+1jqZQxqrXZiIhPTue7vX58v/8GUwY04cKiUdhbF13EOjkjlXdurOaQ5hInui+lRc2G2Z0pMbBrBNQfCJ3ez31hagp8PBVmL4dadbKak7TJBF66xeBne2W1BQYG0q5duzJ4QpWyRLU2GwGahFR+2H+DNYcCGNyuHsfnD8O9mCUygI82mOeufEkbGzfOPfIt9jnfZZPuw99DoMFg6LU4y/Eii5UfQ+OWWa6QmVw8fJ3mXRtT0z57GykgIICnnnrqXz2jSvmjKm8Fcu1OLGsPBbDtzC1GdWnAwU8eo2nd4tOqJmWk8Hnw/1gbuodFzV9iquuQ3Mvq++dg3zho/RJ0+Ti/4m5bC4f+gk1eufpSk9M4v/8qz34wKqstNjaW6Oho3NzcUDFuVOUtZxJS0tl1MZSfDgcSEpnAtAFN8VowAlen4h3+0/U61t3bx/ygTfRxbINPr9XUtcwR5SP1cOVbuPA59F8DHmPyD3JijzLrrj8OTrmtx6f/8cajXUNcGmbH7J49e5bOnTtjZqb+1zB21H+hciApVce+y/fYduYWR66G06NZLV4d2pIRnepjbla8R2pSRgr/CzvC1yFbaFCjFn91nEM3+zypbaKvwrFXlJn0SU9waJZ/oL83wuJ34Jvt4N48V1fEnWguHb7Oi5+Py9Xu5eVF7969UTF+qoTyGru1WUqJ7904Dl4J4/CVMM4ERtG9aS2eesSNb6Z2x9nWskTjXE+4xfp7+1l3dz897FuyqtXrDHTqmHuJHBcE5z+D23ug66fQdiaIPF8I6Wnw/Twl3G/tYWjWNld3SlIq2787yMAJPbBzzn7Xjo2NxcfHh7feeutB/ypUyhHV2lwGJKSk4x2i4WxgNGcDozgbGEVNS1MGtavHi4Oa8ctrfYq1GgPopR5vbRC7o87ye/gxYtITmFh3AF6PfEMT6xxBARlpcOeA4jEVdgLazIRn/cGyAHfJCyfg85lQv7Hyjlsrd2RQSlIqW5buxa1Vfdr3yz2b//XXX/Tv318tb2KkqNbmEiKlJCYxjdtRiQSExXM9NI5robH4hsZyPy6FNg0deKRpLcb3cOPr57vkKuJVGAm6ZLy1QZyP98crzpfD0d44mdsypFYXvm/1Br0cWmdHAqVEw91jcHs33NwODi2VqvWDN+b2mAJlpvXcp7g93rsFbyxQrMp5DFfht6LYseoQbq1ceWxSr1wz+p07d9izZw8rVqz4t391KhVEpaZ+La6vPDh69Cg9evUlMj5F+dGmEBmfSmR8CuExydyKSuRWZAK3oxKRUuJW24YmdW1p08CB5/o0plUDBzxcbArMFwXKPmx4qobg5HACk+4SmHSPgKS7+CfdJST5Pu1s3Olq35xhzt34qtl0GtWoBYlhoLlG4OFVNHVMhogLoA2Ber2VrZ+un4Jto+ybSAl3guDCcTh/TClT4t4Cxs1QvKdy1BaSesntG2F4H/El+OodBk3oSbu+zXMp7t27d5k7dy7Tpk0rNIb36NGjRvnKAsYtG5SffOWuvDlTvwohOgoh+kkpjxfXl5OIuBQuBEeTmp5BarqeVF1G1ueU9AzSdMrv1PQMUtIz0Cano03RoU1OJz45jfjkdLTJaWhT0oiI1SJ/DaWWnQW17CxxtrPA0c4UeztznJzN6NPUkjEONXGyN8fSEtJkOqn6dJIyNETo7hCYmkT8zSQS0uJJ0mlJTIsnPi2GmBQN8Wka9Lo06pnb4G7hQHMzW3qZWvOMiQX1zOpQ17YepulauH0CEn6DxLuK4po6gG0L4v0ToM9YcBsMNdwgORlCI8BnG2giIPwOhNxQfmraQZd+yC79SJv2MWnOrqQlp5MYFEVclJa4aC33Q6K54x+Ota0l7fu1ZOiUPtSoaUlqaioxMTEEBATg7e3NsWPHmDp1KsOHDy/039GYFcSYZYMqrLwUnPr1eAn6sjj891/c87uOkmhSQtafJcMWsAHqAVk213vZo8QBcQhulWrUvPeQ2FIDJX88hBJPKPGFni9xApyAdpkNgD14eYE8rbQZJkeZUyzhAg5Kdkd84sDnb1j/d3a3YUYVQvkjc4L9+xrov9NjYgjid3BwwMPDgzZt2rB69WqcnZ3/1X+y4q4t7/6HUTYh5YP/hy0JQojvgD+llIeEEIOA8VLKV4rryzPGLrKT2IXk+Z0X9yL6jL2/Mu9dXH9l3ru4/sq897/tL8m1OX8nSilHQiWnfi2mL4tMYVVUVLKp7NSvRaaFVVFRKZzKTv1aYJ+KikrxVGrq14L6KkAeFZVqQbkbrFRUVMqHal1cWwjxqRBijBDiozztpkKIZwx9r4ri0lZUvGwfCSGeMySlr3CEECZCiGWF9BUod0VSjHyF9pU3hd1bCGEhhHhNCPGuEOKDsrpftVXeYuoCDwBuGPrCgU75Bqg82SYCd6SUm4CmQogKDawVQjgBbwH9C+grSu4KoRj5Cu0rb4q5d7nUoa62ykvRdYHTgblCCBvAFbhpRLL1BkINn28BfStQLqSUGinlUijQw6QouSuEouQrRvZKk4tyqkNdnZW30LrABhfMGOAayqZ3jLHIhlKzKXP/XQD1K1Cu4ihKbpXCWQT8YvjcAThTxLklpjorb6EOIEKIesApYD4wXwhRJt+EZSEb8CfZXpwdAH0FylUcJXKqUcmNlDJJSplYXB3q0lKdQwKLcgCZDnwhpUwXQtwExgDfGoNsUsrLQggnIcQIFA/sqxUoV3GoTjUPSI461AuLPbmEVOeZtyjnEAFkRsv7ANHGIpsQYijQREq5G3AGDlWwbAVi7E41Oeo9GxXlWYe6OitvUc4hK4BXhRCTgOHAZiOSLQCwFUL8B/hdSplWkYIJIWyEEG8DrYQQ7xiOM2WrdKeaouQrqM9I5CqXOtSqk4aKShWlOs+8KirVGlV5VVSqKKryqqhUUVTlVVGpoqjKq1JmCIWSZZhX+deoylvFEEI8L4SIEULMz9G2QAhxSAjhXsD5DYQQswrqKweepQT/p4QQI4QQt4QQPwohLAxt04UQF4UQHQzPWKPcpa3iqMpbxZBSbkTZlw7K0ewJPC+lDCng/FAUR3h3gBx7tGWKEKIzECalTC7uXIMDyiogNMc+9mngFSnlZRQX0XyJCFVyoypv1WQrkFMJ60opw4o4Pw5ACFETeKmcZBoLHCnF+VtRQuUy6SalPAuKLzDgoM6+RVOdfZurM0eBX4QQ9kASkJrZIYQYBdgDVsAlKeWFHNe1B9yFEC8Bx1DcQpcAf6NUrPhMCGENzEWZzR8FYlECOOYB3kAzKeWXBchkIw0eP0KIz4BGwB/AKGAHikvq41LKmQBSyiAhRLoQoqWU0q+A8XyAXiheXSoFoM68VRApZQawG3gcRcEOAwgh7IDJUspNUsq1wEIhsksISilPoyxt10opA6SUGuA1KeWfQGchRF2gGWAipdwBNJdSzgVeRkkQsA2oL4TIFaZouG9ON86fABcp5S6UuN8OUso9gL0hoiuTrcB4IURLlPDMnISQoyKeSn5U5a26bEFZOudcMrcktxLVRInBzYdhCQ3QVggxAaWoRA3AH9AZZvDM2lEdAWchxDAUpcq7nLUFUvK0ZfrvpuX5nNManfkM3TOXzDmIB+oUJLuKgrpsrrocAdaTO6giCKiV49iU/GF76UIIM6CXIXXLI1LKd4QQo1GWuubAQSnlwRzXXABSpZR7hRDHAOs8Y8aghAiWCillgBBCD9QuoNsG0JZ2zIcJdeatokgpdSjvkkdytEUDq4QQU4UQrwFvo6T5GQA8K4QwRXkPnYEyG4agGIZGALdR3k9vAQuEEDuFED8IIdoAPwJ1hRATUQxTcXlkSSKrshIAk4EuQohHUJb2ow2fuxj6cvI7cKKAR6yPEmGlUghqVJFKLoQQr6K8i0YCDYGlUsqxJbjuM2Ce4UulLOT4GFgupUwoi/GqI+qyWSUvF4HBKLOrA4oil4QNKLPsn/9WAMMKIVVV3KJRZ16VMsNg5PL8twn9hBBjUXI9VXRiwCqFqrwqRocQooaUMq/1WiUPqvKqqFRRVGuzikoV5f9IwmnYznPthAAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "with plt.style.context(['science', 'no-latex']):\n", + " fig, ax = plt.subplots()\n", + " for p in [10, 15, 20, 30, 50, 100]:\n", + " ax.plot(x, model(x, p), label=p)\n", + " ax.legend(title='Order')\n", + " ax.autoscale(tight=True)\n", + " ax.set(**pparam)\n", + " fig.savefig('figures/fig01b.jpg', dpi=300)\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "with plt.style.context(['science', 'ieee','no-latex']):\n", + " fig, ax = plt.subplots()\n", + " for p in [10, 20, 40, 100]:\n", + " ax.plot(x, model(x, p), label=p)\n", + " ax.legend(title='Order')\n", + " ax.autoscale(tight=True)\n", + " ax.set(**pparam)\n", + " fig.savefig('figures/fig02a.jpg', dpi=300)\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "with plt.style.context(['science', 'ieee', 'std-colors','no-latex']):\n", + " fig, ax = plt.subplots()\n", + " for p in [10, 15, 20, 30, 50, 100]:\n", + " ax.plot(x, model(x, p), label=p)\n", + " ax.legend(title='Order')\n", + " ax.autoscale(tight=True)\n", + " ax.set(**pparam)\n", + " fig.savefig('figures/fig02b.jpg', dpi=300)\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "with plt.style.context(['science', 'nature','no-latex']):\n", + " fig, ax = plt.subplots()\n", + " for p in [10, 15, 20, 30, 50, 100]:\n", + " ax.plot(x, model(x, p), label=p)\n", + " ax.legend(title='Order')\n", + " ax.autoscale(tight=True)\n", + " ax.set(**pparam)\n", + " fig.savefig('figures/fig02c.jpg', dpi=300)\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "with plt.style.context(['science', 'high-vis','no-latex']):\n", + " fig, ax = plt.subplots()\n", + " for p in [10, 15, 20, 30, 50, 100]:\n", + " ax.plot(x, model(x, p), label=p)\n", + " ax.legend(title='Order')\n", + " ax.autoscale(tight=True)\n", + " ax.set(**pparam)\n", + " fig.savefig('figures/fig04.jpg', dpi=300)\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "with plt.style.context(['dark_background', 'science', 'high-vis','no-latex']):\n", + " fig, ax = plt.subplots()\n", + " for p in [10, 15, 20, 30, 50, 100]:\n", + " ax.plot(x, model(x, p), label=p)\n", + " ax.legend(title='Order')\n", + " ax.autoscale(tight=True)\n", + " ax.set(**pparam)\n", + " fig.savefig('figures/fig05.jpg', dpi=300)\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "with plt.style.context(['science', 'notebook','no-latex']):\n", + " fig, ax = plt.subplots()\n", + " for p in [10, 15, 20, 30, 50, 100]:\n", + " ax.plot(x, model(x, p), label=p)\n", + " ax.legend(title='Order')\n", + " ax.autoscale(tight=True)\n", + " ax.set(**pparam)\n", + " fig.savefig('figures/fig10.jpg', dpi=300)\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "with plt.style.context(['science', 'bright','no-latex']):\n", + " fig, ax = plt.subplots()\n", + " for p in [5, 10, 15, 20, 30, 50, 100]:\n", + " ax.plot(x, model(x, p), label=p)\n", + " ax.legend(title='Order')\n", + " ax.autoscale(tight=True)\n", + " ax.set(**pparam)\n", + " fig.savefig('figures/fig06.jpg', dpi=300)\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "with plt.style.context(['science', 'vibrant','no-latex']):\n", + " fig, ax = plt.subplots()\n", + " for p in [5, 10, 15, 20, 30, 50, 100]:\n", + " ax.plot(x, model(x, p), label=p)\n", + " ax.legend(title='Order')\n", + " ax.autoscale(tight=True)\n", + " ax.set(**pparam)\n", + " fig.savefig('figures/fig07.jpg', dpi=300)\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "with plt.style.context(['science', 'muted','no-latex']):\n", + " fig, ax = plt.subplots()\n", + " for p in [5, 7, 10, 15, 20, 30, 38, 50, 100, 500]:\n", + " ax.plot(x, model(x, p), label=p)\n", + " ax.legend(title='Order', fontsize=7)\n", + " ax.autoscale(tight=True)\n", + " ax.set(**pparam)\n", + " fig.savefig('figures/fig08.jpg', dpi=300)\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "with plt.style.context(['science', 'retro','no-latex']):\n", + " fig, ax = plt.subplots()\n", + " for p in [10, 15, 20, 30, 50, 100]:\n", + " ax.plot(x, model(x, p), label=p)\n", + " ax.legend(title='Order')\n", + " ax.autoscale(tight=True)\n", + " ax.set(**pparam)\n", + " fig.savefig('figures/fig09.jpg', dpi=300)\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "with plt.style.context(['science', 'grid','no-latex']):\n", + " fig, ax = plt.subplots()\n", + " for p in [10, 15, 20, 30, 50, 100]:\n", + " ax.plot(x, model(x, p), label=p)\n", + " ax.legend(title='Order')\n", + " ax.autoscale(tight=True)\n", + " ax.set(**pparam)\n", + " fig.savefig('figures/fig11.jpg', dpi=300)\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "with plt.style.context(['science', 'high-contrast','no-latex']):\n", + " fig, ax = plt.subplots()\n", + " for p in [10, 20, 50]:\n", + " ax.plot(x, model(x, p), label=p)\n", + " ax.legend(title='Order')\n", + " ax.autoscale(tight=True)\n", + " ax.set(**pparam)\n", + " fig.savefig('figures/fig12.jpg', dpi=300)\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "with plt.style.context(['science', 'light','no-latex']):\n", + " fig, ax = plt.subplots()\n", + " for p in [5, 7, 10, 15, 20, 30, 38, 50, 100]:\n", + " ax.plot(x, model(x, p), label=p)\n", + " ax.legend(title='Order', fontsize=7)\n", + " ax.autoscale(tight=True)\n", + " ax.set(**pparam)\n", + " fig.savefig('figures/fig13.jpg', dpi=300)\n", + " plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.12" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/_static/pygments.css b/_static/pygments.css index 012e6a0..997797f 100644 --- 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+html[data-theme="light"] .highlight .vm { color: #797129 } /* Name.Variable.Magic */ +html[data-theme="light"] .highlight .il { color: #797129 } /* Literal.Number.Integer.Long */ html[data-theme="dark"] .highlight pre { line-height: 125%; } html[data-theme="dark"] .highlight td.linenos .normal { color: inherit; background-color: transparent; padding-left: 5px; padding-right: 5px; } html[data-theme="dark"] .highlight span.linenos { color: inherit; background-color: transparent; padding-left: 5px; padding-right: 5px; } diff --git a/genindex.html b/genindex.html index 7884969..f1ce6e5 100644 --- a/genindex.html +++ b/genindex.html @@ -180,6 +180,8 @@
  • Section 00 - Things Before Diving In
    • diff --git a/intro.html b/intro.html index 8ab5135..da9e428 100644 --- a/intro.html +++ b/intro.html @@ -184,6 +184,8 @@
  • Section 00 - Things Before Diving In
    • @@ -467,12 +469,10 @@

    {ml-nn-zero2hero}

    Personal Goal

    I have hopes of getting a paper outlining my work submitted for NuerIPS 2025, so it is my personal motivation for doing this as well :)

    -

    </–>

    Pre-requisites#

    @@ -447,6 +449,7 @@

    Packages

    diff --git a/notebooks/00/NB_0_1.html b/notebooks/00/NB_0_1.html index 6d0772c..d4107b1 100644 --- a/notebooks/00/NB_0_1.html +++ b/notebooks/00/NB_0_1.html @@ -181,6 +181,8 @@
  • Section 00 - Things Before Diving In
    • diff --git a/notebooks/00/NB_0_2.html b/notebooks/00/NB_0_2.html index cac3207..f6279ae 100644 --- a/notebooks/00/NB_0_2.html +++ b/notebooks/00/NB_0_2.html @@ -60,7 +60,7 @@ - + @@ -181,6 +181,8 @@
  • Section 00 - Things Before Diving In
    • @@ -508,11 +510,11 @@

    Section 0.2 - Scientific Python with NumPy, matplotlib and pandas

    next

    -

    Section 01 - Exploring for Machine Learning

    +

    Section 0.3 - Science Plots

     diff --git a/notebooks/00/NB_0_3.html b/notebooks/00/NB_0_3.html new file mode 100644 index 0000000..8349f15 --- /dev/null +++ b/notebooks/00/NB_0_3.html @@ -0,0 +1,898 @@ + + + + + + + + + + + Section 0.3 - Science Plots — Collection of notes on {ml.nn-zero2hero} + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
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    +

    Section 0.3 - Science Plots

    + +
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    + +
    +

    Section 0.3 - Science Plots#

    +

    This is the third notebook.

    + + +
    + Open In Colab +
    +
    +
    import numpy as np
+import matplotlib.pyplot as plt
+import scienceplots
+
+import os
+
    +
    +
    +
    +
    +
    +
    def model(x, p):
+    return x ** (2 * p + 1) / (1 + x ** (2 * p))
+
+
+pparam = dict(xlabel='Voltage (mV)', ylabel=r'Current ($\mu$A)')
+
+x = np.linspace(0.75, 1.25, 201)
+
    +
    +
    +
    +
    +
    +
    with plt.style.context(['science', 'scatter']):
+    fig, ax = plt.subplots(figsize=(4, 4))
+    ax.plot([-2, 2], [-2, 2], 'k--')
+    ax.fill_between([-2, 2], [-2.2, 1.8], [-1.8, 2.2],
+                    color='dodgerblue', alpha=0.2, lw=0)
+    for i in range(7):
+        x1 = np.random.normal(0, 0.5, 10)
+        y1 = x1 + np.random.normal(0, 0.2, 10)
+        ax.plot(x1, y1, label=r"$^\#${}".format(i+1))
+    lgd = r"$\mathring{P}=\begin{cases}1&\text{if $\nu\geq0$}\\0&\text{if $\nu<0$}\end{cases}$"
+    ax.legend(title=lgd, loc=2, ncol=2)
+    xlbl = r"$\log_{10}\left(\frac{L_\mathrm{IR}}{\mathrm{L}_\odot}\right)$"
+    ylbl = r"$\log_{10}\left(\frac{L_\circledast}{\mathrm{L}_\odot}\right)$"
+    ax.set_xlabel(xlbl)
+    ax.set_ylabel(ylbl)
+    ax.set_xlim([-2, 2])
+    ax.set_ylim([-2, 2])
+    fig.savefig('figures/fig03.jpg', dpi=300)
+    plt.close()
+
    +
    +
    +
    +
    +
    +
    with plt.style.context(['science','no-latex']):
+    fig, ax = plt.subplots()
+    for p in [10, 15, 20, 30, 50, 100]:
+        ax.plot(x, model(x, p), label=p)
+    ax.legend(title='Order')
+    ax.autoscale(tight=True)
+    ax.set(**pparam)
+    fig.savefig('figures/fig01a.jpg', dpi=300)
+    plt.show()
+
    +
    +
    +
    +../../_images/c7ef15f080922ea9275b31f8d4bf56bb196a67e255a4531ccd139d2e729c63d4.png +
    +
    +
    +
    +
    with plt.style.context(['science', 'no-latex']):
+    fig, ax = plt.subplots()
+    for p in [10, 15, 20, 30, 50, 100]:
+        ax.plot(x, model(x, p), label=p)
+    ax.legend(title='Order')
+    ax.autoscale(tight=True)
+    ax.set(**pparam)
+    fig.savefig('figures/fig01b.jpg', dpi=300)
+    plt.show()
+
    +
    +
    +
    +../../_images/c7ef15f080922ea9275b31f8d4bf56bb196a67e255a4531ccd139d2e729c63d4.png +
    +
    +
    +
    +
    with plt.style.context(['science', 'ieee','no-latex']):
+    fig, ax = plt.subplots()
+    for p in [10, 20, 40, 100]:
+        ax.plot(x, model(x, p), label=p)
+    ax.legend(title='Order')
+    ax.autoscale(tight=True)
+    ax.set(**pparam)
+    fig.savefig('figures/fig02a.jpg', dpi=300)
+    plt.show()
+
    +
    +
    +
    +../../_images/3e9976e22a40ef452c081001db91a373232eabc1b7c695ae148553c6a02bcdf0.png +
    +
    +
    +
    +
    with plt.style.context(['science', 'ieee', 'std-colors','no-latex']):
+    fig, ax = plt.subplots()
+    for p in [10, 15, 20, 30, 50, 100]:
+        ax.plot(x, model(x, p), label=p)
+    ax.legend(title='Order')
+    ax.autoscale(tight=True)
+    ax.set(**pparam)
+    fig.savefig('figures/fig02b.jpg', dpi=300)
+    plt.show()
+
    +
    +
    +
    +../../_images/37013854f371a395caf6214c76d52552cca7ec059433482276bf81b9f8052f4f.png +
    +
    +
    +
    +
    with plt.style.context(['science', 'nature','no-latex']):
+    fig, ax = plt.subplots()
+    for p in [10, 15, 20, 30, 50, 100]:
+        ax.plot(x, model(x, p), label=p)
+    ax.legend(title='Order')
+    ax.autoscale(tight=True)
+    ax.set(**pparam)
+    fig.savefig('figures/fig02c.jpg', dpi=300)
+    plt.show()
+
    +
    +
    +
    +../../_images/683f209e1f3e1704334ebdb6ef96317609ea20c26906a64e7902a172cea10ec0.png +
    +
    +
    +
    +
    with plt.style.context(['science', 'high-vis','no-latex']):
+    fig, ax = plt.subplots()
+    for p in [10, 15, 20, 30, 50, 100]:
+        ax.plot(x, model(x, p), label=p)
+    ax.legend(title='Order')
+    ax.autoscale(tight=True)
+    ax.set(**pparam)
+    fig.savefig('figures/fig04.jpg', dpi=300)
+    plt.show()
+
    +
    +
    +
    +../../_images/a12c161e47f7bd1dc74aa429066f2cb8d571cbed93b8df720f307fa9c0821f33.png +
    +
    +
    +
    +
    with plt.style.context(['dark_background', 'science', 'high-vis','no-latex']):
+    fig, ax = plt.subplots()
+    for p in [10, 15, 20, 30, 50, 100]:
+        ax.plot(x, model(x, p), label=p)
+    ax.legend(title='Order')
+    ax.autoscale(tight=True)
+    ax.set(**pparam)
+    fig.savefig('figures/fig05.jpg', dpi=300)
+    plt.show()
+
    +
    +
    +
    +../../_images/ada5ba305d694a7bfee68c38211cf5d096d178c3d9923bc8c96be2abc07d709b.png +
    +
    +
    +
    +
    with plt.style.context(['science', 'notebook','no-latex']):
+    fig, ax = plt.subplots()
+    for p in [10, 15, 20, 30, 50, 100]:
+        ax.plot(x, model(x, p), label=p)
+    ax.legend(title='Order')
+    ax.autoscale(tight=True)
+    ax.set(**pparam)
+    fig.savefig('figures/fig10.jpg', dpi=300)
+    plt.show()
+
    +
    +
    +
    +../../_images/652e20263306d9b56c4aeb0c0807417482d4b2157d55d55678e64e851ed42945.png +
    +
    +
    +
    +
    with plt.style.context(['science', 'bright','no-latex']):
+    fig, ax = plt.subplots()
+    for p in [5, 10, 15, 20, 30, 50, 100]:
+        ax.plot(x, model(x, p), label=p)
+    ax.legend(title='Order')
+    ax.autoscale(tight=True)
+    ax.set(**pparam)
+    fig.savefig('figures/fig06.jpg', dpi=300)
+    plt.show()
+
    +
    +
    +
    +../../_images/8aa59c036f1e2a957c2ab387206816f52149b5e2c43303a5fcfe409fc00b4cec.png +
    +
    +
    +
    +
    with plt.style.context(['science', 'vibrant','no-latex']):
+    fig, ax = plt.subplots()
+    for p in [5, 10, 15, 20, 30, 50, 100]:
+        ax.plot(x, model(x, p), label=p)
+    ax.legend(title='Order')
+    ax.autoscale(tight=True)
+    ax.set(**pparam)
+    fig.savefig('figures/fig07.jpg', dpi=300)
+    plt.show()
+
    +
    +
    +
    +../../_images/71f7c1193ce991b6c7bf7c37936f51c9a4905ec31343c92d3fd83a6e73a4e6c3.png +
    +
    +
    +
    +
    with plt.style.context(['science', 'muted','no-latex']):
+    fig, ax = plt.subplots()
+    for p in [5, 7, 10, 15, 20, 30, 38, 50, 100, 500]:
+        ax.plot(x, model(x, p), label=p)
+    ax.legend(title='Order', fontsize=7)
+    ax.autoscale(tight=True)
+    ax.set(**pparam)
+    fig.savefig('figures/fig08.jpg', dpi=300)
+    plt.show()
+
    +
    +
    +
    +../../_images/9793680db809d8ec6e17ced2c9172f97f10282c465bbaa763b9dfc04f1f1f6ed.png +
    +
    +
    +
    +
    with plt.style.context(['science', 'retro','no-latex']):
+    fig, ax = plt.subplots()
+    for p in [10, 15, 20, 30, 50, 100]:
+        ax.plot(x, model(x, p), label=p)
+    ax.legend(title='Order')
+    ax.autoscale(tight=True)
+    ax.set(**pparam)
+    fig.savefig('figures/fig09.jpg', dpi=300)
+    plt.show()
+
    +
    +
    +
    +../../_images/e116a586073a7f0fecf83f3285d0159be12170774c0b0bfcfe4469e788662cf4.png +
    +
    +
    +
    +
    with plt.style.context(['science', 'grid','no-latex']):
+    fig, ax = plt.subplots()
+    for p in [10, 15, 20, 30, 50, 100]:
+        ax.plot(x, model(x, p), label=p)
+    ax.legend(title='Order')
+    ax.autoscale(tight=True)
+    ax.set(**pparam)
+    fig.savefig('figures/fig11.jpg', dpi=300)
+    plt.show()
+
    +
    +
    +
    +../../_images/ebc67dc8ba68186cf814c9f63c74dd9cd09d0109db06d3b7c57ec0903c3362eb.png +
    +
    +
    +
    +
    with plt.style.context(['science', 'high-contrast','no-latex']):
+    fig, ax = plt.subplots()
+    for p in [10, 20, 50]:
+        ax.plot(x, model(x, p), label=p)
+    ax.legend(title='Order')
+    ax.autoscale(tight=True)
+    ax.set(**pparam)
+    fig.savefig('figures/fig12.jpg', dpi=300)
+    plt.show()
+
    +
    +
    +
    +../../_images/92c6aa30e48c07f9ac44617d038453300b5086577e3499a38b54bbe040fc2c6e.png +
    +
    +
    +
    +
    with plt.style.context(['science', 'light','no-latex']):
+    fig, ax = plt.subplots()
+    for p in [5, 7, 10, 15, 20, 30, 38, 50, 100]:
+        ax.plot(x, model(x, p), label=p)
+    ax.legend(title='Order', fontsize=7)
+    ax.autoscale(tight=True)
+    ax.set(**pparam)
+    fig.savefig('figures/fig13.jpg', dpi=300)
+    plt.show()
+
    +
    +
    +
    +../../_images/c7bad73b94b27a5c084f511539f1bb4f5d70e8e31e30f4624bf729fbb96a6fee.png +
    +
    +
    + + + + +
    + + + + + + + + +
    + + + +
    + + +
    +
    + +
    + +
    + +

    +By Kithmin Wickremasinghe +

    + +
    + +
    + + +

    + + © Copyright 2023. +
    + +

    + +
    + +
    + +
    + +
    + +
    + +
    +
    + + +
    +
    +
    + + + + + +
    +
    + + \ No newline at end of file diff --git a/notebooks/01/01.html b/notebooks/01/01.html index 1974638..be28146 100644 --- a/notebooks/01/01.html +++ b/notebooks/01/01.html @@ -61,7 +61,7 @@ - + @@ -181,6 +181,8 @@
  • Section 00 - Things Before Diving In
    • @@ -485,12 +487,12 @@

    Notebook 1.2 - End-to-end ML project

    previous

    -

    Section 0.2 - Scientific Python with NumPy, matplotlib and pandas

    +

    Section 0.3 - Science Plots
  • github:handson-ml
    • -
  • github:learning-deep-learning

    • Neural Networks

    diff --git a/notebooks/03/03.html b/notebooks/03/03.html index 405d2a4..eb8053a 100644 --- a/notebooks/03/03.html +++ b/notebooks/03/03.html @@ -181,6 +181,8 @@
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