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Kristin Swartz-Schult (Project 1) #146

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@kaj-alt kaj-alt commented Nov 2, 2023

work in progress

@adowling2 adowling2 changed the title Work in progress Kristin Swartz-Schult (Project 1) Nov 3, 2023
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kaj-alt commented Nov 3, 2023

Finished notebook.

@adowling2 adowling2 changed the base branch from main to contributed-notebooks December 6, 2023 16:59
adowling2
adowling2 requested changes Dec 6, 2023
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Really nice notebook. Below are some minor formatting requests.

Spaghettification.ipynb
" residual \n",
" '''\n",
" # Add your solution here\n",
" residual = ((L_0 * G * m_1 * m_2) / (Y * A)) * ((1 / r_1**2) - (1 / (r_1 + L_0 + ΔL)**2)) - ΔL\n",
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Move the ### BEGIN SOLUTION ### and ### END SOLUTION ### to above and below this line.

Spaghettification.ipynb
" Returns:\n",
" residual \n",
" '''\n",
" # Add your solution here\n",
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Delete the "Add your solution here". That will get automatically added.

Spaghettification.ipynb
"output_type": "stream",
"text": [
"/var/folders/tk/4cs7tv315mq209yzyj47_wd80000gn/T/ipykernel_76301/1539189335.py:24: UserWarning: Log scale: values of z <= 0 have been masked\n",
" cs = ax.contourf(r_grid, ΔL_grid, f_grid, locator=ticker.LogLocator(), cmap=cm.coolwarm, levels=100)\n"
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Take the absolute value of the residuals. That will remove the warning message:

UserWarning: Log scale: values of z <= 0 have been masked

Spaghettification.ipynb
},
"outputs": [],
"source": [
"# function for nonlinear equation residual\n",
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Remove this cell that contains the empty/skeleton version of residual_function

Spaghettification.ipynb
},
{
"data": {
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@adowling2 adowling2 Dec 6, 2023

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Link that the class webpage that includes this code.

Spaghettification.ipynb
},
{
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O9erVM5ybMmWKRo4caco6p06dUuXKlQ3nxo0bp7Fjx5qyDuBNvO9HegELONoKwNUbIUfOnTtnGG4GBASobt26pqzhK7Zu3aq3337b6jYAAAC82vnz59W9e3dNmTLFMNz09/dXuXLlVKJECQu6A4CCa9KkCeEmANOtXbtW3bp1M/yenp+fn8qWLauwsDDDczdu3KiOHTvqwIEDnm4TxUitWrUUHBxsOLd//37T1snv+9hmboMLeBOeuQcktW7d2nD8/Pnzio+PL/CWHFu2bDEcb9y4cbH6yfrc3Fw98cQTysnJsboVAJD0103+c88959I51apV81A3APCXzMxM3XHHHVq3bp3d+A033KBHH31Ud955p2rUqKGAgABJ0smTJ/XHH39oyZIlWrhwoeEP1gFAQbVv314zZ85069yTJ0/qn//8p93Y4MGDzWgLAK44d+6c7rnnHmVkZNiN9+zZUyNGjNCtt96q0NDQK8f+9NNPmjx5sjZt2nTl2MTERPXr109bt269cq8FFERAQICaN29uuEvgtm3bTFtn69atDudatWpl2jqANyHgBCRVqFBBtWvX1pEjR/LM/f777wUOOP/44w/D8ejo6ALV9TX//e9/9fvvv0v666mDO+64Q0uXLrW4KwDFWbVq1fTEE09Y3QYA2Bk5cqRduOnv76/XX39dzz33nOE32qpVq6Y+ffqoT58+euedd/Thhx/yDTkApmvUqJEaNWrk1rmTJ0+2++zv768BAwaY0RYAXPGvf/1LSUlJdmOTJk3Siy++mOfYiIgI3Xffferbt68ef/xxzZ49+8rczp079dFHH+nRRx/1eM8oHtq0aWMYcG7fvl1ZWVkKCgoq8BobN240HA8LC3P772/A27FFLfA/jt7JtnLlygLXdlSja9euBa7tKxISEvTSSy9d+fzEE08Uu4AXAADgev744488T0jNnDlTL7zwglOhZWhoqP7xj3+wdS0Ar/LJJ5/Yfe7evbuqV69uUTcAiqovvvjC7nOvXr0Mw82rBQYG6r333lOTJk3sxufPn296fyi+OnfubDiemZmp9evXm7LGqlWrDMc7duwof39iIBRN/JcN/E9MTIzh+JIlS5Sbm+t23XPnzmnt2rV5xv38/NSjRw+36/qaESNG6Pz585KkihUrasKECRZ3BAAA4F1sNpsef/xxu3vPBx98UI899piFXQFAwcTGxmr37t12Y2xPC8Bsx48f19GjR+3Ghg8f7tS5gYGBevLJJ+3Gfv31V9N6A7p16+YwZPzuu+8KXH/nzp2GOxNKjr/nDRQFBJzA//Tu3fvKPvxXS0hI0PLly92uO2/ePGVlZeUZ79Chg6pWrep2XV/y448/2v3k2xtvvKGIiAgLOwIAAPA+a9assXt3TsmSJfX6669b1xAAmODapzfDw8PVt29fi7oBUFQlJCTkGWvXrp3T51977MWLF3X27NkC9wVIf70e7dZbbzWcmz9/foEerpGkzz77zHDcz89Pffr0KVBtwJsRcAL/ExYW5vAfWW+88YZbNbOzszVt2jTDuUGDBrlV09dkZmba/RTcLbfcwk/rAgAAGPjwww/tPt99992qWbOmRd0AQMFdunQpzzaP9957r0JCQizqCEBRlZ2dnWesTJkyTp9ftmzZPGNGDywA7ho4cKDh+LFjx7Rw4UK36164cEEffPCB4VzHjh1Vu3Ztt2sD3o6AE7jKiBEjDMdXr17t1l8077zzjg4ePJhnvHLlyhowYIDL9XzRxIkTr/weBAQE6N1335Wfn5/FXQEAAHiXjIwMLViwwG7swQcftKgbADDHDz/8oNOnT9uN8QOvADyhRo0aecZceQLzzJkzdp9LlCih8uXLF7gv4LL+/fs73NFu7NixysnJcavutGnTlJSUZDg3bNgwt2oCviLQ6gYAbxIdHa1evXoZ7n3+2GOPqVWrVqpTp44kKSUlRZs2bdLmzZuVmpqa5/iUlBTNnDnTcJ0XXnhBJUuWNLX3y/78808tXbpUP//8s3bv3q3jx48rNTVVAQEBKlOmjOrVq6fmzZsrJiZGPXv2VKlSpTzShyTt27fP7unXp556Si1btvTYegDsXe86VbZsWT377LOF3pc3XacAwFts2rRJFy5cuPLZ399fXbt2tbAjANxLFdzHH39s97lu3brq0KGDRd0AKMpq1KihOnXqKD4+/srYunXrnN6ec926dXaf27ZtqxIlSpjYIYq7sLAwDR8+XBMmTMgzt2vXLv3rX//SK6+84lLNffv2aeLEiYZzkZGRuvfee93qFfAVBJzANaZOnaoff/wxzzYUSUlJio6O1s0336wDBw5o//79stlsDuv4+/sb7p/eqFEjPf3006b3feDAAb322mv6+uuvDbfluHTpkjIzM5WYmKj169fr/fffV9myZfX444/rxRdfdGnbDmc98cQTV34fq1Spov/3//6f6WsA+EtGRoa2bt2qjRs3KjY2Vhs3brzudap27dqF+k05b7xOXV5369atOnbsmJKTkxUeHq5y5cqpYcOGhj8FDMAcBAf2YmNj7T43atRIYWFhdmNHjx7VgQMHdPz4cZUsWVKVKlVS06ZNValSJVN6AIoz7qXMd+7cuTw/PDxo0CB29AFMwr1UXo899pheeumlK5+nTZumu++++7rXnczMTE2fPt1u7OGHHzatL+CykSNHatasWUpMTMwzN27cODVp0kT9+vVzqlZiYqLuvvtupaenG85PnjxZAQEBBeoX8Ho2AHm88cYbNkmm/woKCrL98ccfpvc7efJkW3BwsNt9ValSxbZs2TJTe/r444/t1pg7d26eY8aOHWt3TKdOnUztASjKMjIybDNnzrQNHTrU1qJFC1tAQIDL/9uvXbt2ofXrLdepVatW2dUNDQ21hYSEOFy3Xr16tqefftp2+PBhE34XgOIrPT3d9ttvv9mmTZtme+ihh2yNGjWy+fn5ec01ymaz2fbv32/r37+/LTAw0OlrU9myZW2jR4+2JScnF3j9AQMG2NV+8MEHr8zNmzfPdssttxj24OfnZ7vhhhts06dPt128eLHAfQDFBfdSnjdjxow8fRw8eLBQewCKCu6lnHPhwgVb48aN7dZ4/vnnbTk5OQ7PycjIsPXr18/unNatW9suXbpkSk8oPBcvXrRduHDBqV+O/pt8+eWXna6R339X+Zk7d67D9QMDA22TJ0+2ZWdn51tj/fr1trp16zqsc/vtt7vVG+BrCDgBA3FxcW7/wzG/X7NmzTK1z+zsbNuDDz5oSm/+/v62d99915S+zpw5Y6tYseKV2o6CSwJOwH1mXKcK4x+83nadujbgdPZXQECA7amnnrJlZmaa9DsDFG0EB67r2LGjXc0XXnjBlpSUZLvrrruc7qNu3bq2zZs3m/S7AhRt3Et53k033WS3/q233lpoawO+jnsp98XHx9vq1atnV79t27a2Tz75xBYfH2+7ePGiLSMjw7Z3717b9OnTbfXr189zP3Xs2DFTekHh6tSpkyl/Xzr7a9WqVW73Onjw4HxrN2rUyPbvf//btmnTJtuZM2dsKSkptkOHDtnmz59vu/vuu/P9AYdq1arZEhMTzfuNBbwYW9QChcDf31/Tpk3To48+amrdoUOHat68efkeU7VqVVWvXl05OTk6evRonpemX5abm6unnnpKISEhBd6GY9SoUTp9+rQkKTAwUO+++26B6gHwXd56nXJVTk6Opk+frnXr1umHH35gO0jgOhITEzVs2DCr27iunJwcDRo06LrXqetJSEjQHXfcoXfeeUdPPvmkWzWSk5PtPpcpU0Z33HGH/vjjD6drxMXFqUOHDlq4cKF69OjhVh8AvIuv3ksdOHBAGzZssBsbPHiwR9cEihLupdxXu3Ztbd68WS+//LJmzZqlrKwsbdy4UYMGDcr3PH9/fz3wwAN6++23Va5cuQL1AFzPzJkzdfToUa1atcpwft++fRo5cqTLdcuUKaPFixfzPQsUG/5WNwAUdZUqVdLSpUv1j3/8w9S677zzjj755BPDuZIlS2rUqFE6dOiQTp48qY0bN2rz5s1KSkrStm3b9Pe//91wD3abzaZhw4Zp06ZNbvf122+/afbs2Vc+P/PMM2ratKnb9QD4Lm+9TklShQoVNGjQIH388cdX1s3KylJycrL27t2r2bNnKyYmJs95mzdvVp8+fZSZmVmg9QF4B2eDgzZt2qhVq1YqX768w+MuBwcfffSRW72cP3/e7vPUqVPtws2ePXvq22+/VUJCgi5evKgTJ07oiy++0M0332x3Xnp6uvr3768jR4641QcA7+HN91LX8/HHH9t9DgkJ0X333efRNQEUPm+6l7pamTJlNH36dC1YsEC1a9e+7vFNmzbVunXrNHfuXMJNFIqQkBAtWbJEPXv2NK1m5cqVtXz5ckVHR5tWE/B6Fj9BCnglM7Yr8vPzs73wwgu2c+fOmd7fwYMHHW79Ubt2bdv27duvW2P16tW2iIgIwxqNGze2ZWVludxXVlaWrVmzZlfqVK9e3ZaamurweLaoBdyX33XK39/f1qRJE9ugQYNsb7/9tm3atGmFvmWRt16n9u3bZ/v888+dPnfNmjW26tWr51n/hRdecHltoDjxha0f3377bYdrlyxZ0jZq1CjboUOH8py3bds229///neHW8UFBwfbYmNjXe6nfPnyDu8pZ8yY4fC83Nxc26uvvprnPN67A+SPeyn37qWckZuba6tdu7bdev379/fIWkBRxb2U6/dSV1u7dq0tOjrapd+vEiVK2IYOHWo7ceJEgdaGdXxpi9rLcnJybOPHjy/QFs+SbN27d7cdP3684L+JgI8h4AQMXL6R9PPzszVq1Mg2YMAA21tvvWX75ptvbNOmTbP97W9/szVr1swWERHh8IasZs2aHuuvd+/ehmuWL1/edvjwYafr/P777w7/An3rrbdc7uv111+3qzF//vx8jyfgBNzn6Dq1du1aW1pamt2xjt476cl/8HrrdcodR44csVWpUsVu7ZCQEP7hC+SD4MD14KBatWqGtV588UWnzn/ooYfynLt161aXegCKE+6lPHcvZfT79cMPP3hkLaCo4l7K/R/CePvtt/N8r87Pz89266232kaPHm2bOnWq7d///rft2WeftbVq1SrP2hUqVLCtXbvWrbVhLV8MOC87cOCAbfDgwS4Hne3atbMtWLDAtD4AX0PACRhIS0uzrVq1ypaSknLdYwv7H7ubN292+Jfa119/7XK9KVOmGNaqUqWKLTMz0+k68fHxttDQ0Cvnd+vW7brnEHAC7uM65fp1qiC+//77POtPmjSpUNYGfBHBgevBQcOGDfPUqFixotPXucTERFtQUJDd+SNHjnSpB6A44V7Kc/dSDz/8sN06VatWtWVnZ5u+DlCUcS/l3g9hzJ8/P0+dtm3b2nbu3OnwnF9++cVWv359u3PCwsKcCmkBsyUlJdk++eQT25AhQ2xt27a1VaxY0RYcHGwLDAy0lSlTxtawYUPb3XffbXv99df5bxSwEXACBVbYN5IDBw40XK9jx45u1cvKyrLVq1fPsObs2bOdrtOrV68r55UoUcK2Z8+e655DwAkUDq5T5rh2i6POnTsX2tqAryE4cD04aN26dZ4azzzzjEu99OvXz+78du3aufjVADDCvZTz0tPTbaVLl7Zbg639AddxL+X6vdS5c+ds5cqVs6vRvn17p2qcOXMmT8jZunVrW25urstfDwCg8PgLgM9IS0vTN998Yzg3atQot2qWKFFCzz77rOHcJ5984lSNBQsW6Lvvvrvy+fnnn1dUVJRb/QDwbd56nTJD79697T5v3Lix0NYGfE2pUqXUuXNnlS5d2upW8pg6darheMeOHXXPPfe4XO+ZZ55RvXr18ownJCRo3rx5TteJiIjIM3brrbe61Mu1x2/bts2l8wFYz9fvpRYuXKjU1FS7sUGDBpm6BlAccC/l+r3U7Nmzdfbs2SufAwMD9cknnyg4OPi655YrV04ffPCB3djmzZu1fPlyp9cHABQ+Ak7AhyxdulTp6el5xitXrqyePXu6XXfAgAEqUaJEnvE1a9YoISHhuuePHTv2yv9fs2ZNvfrqq273AsC3eet1ygzX/uBGenq6Lly4UChrAzCHNwcHDRs2zDNWp04dl3qpXbu23eeLFy8aXpMBeC9fv5e69rrXunVrNWvWzLT6AKzlzfdSV//gvST16NFD9evXd/r8Tp06qXHjxnZj3377rdPnAwAKHwEn4ENWrFhhON67d28FBAS4XbdcuXLq0KFDnnGbzaYff/zxuuenpaVd+f+PHTumUqVKyc/P77q/xo8fb1dnzZo1eY6ZM2eO218XgMLnrdcpM5QrVy7P2Llz5wplbQDm8ObgoEmTJnnGXH1qIzw8PM/Y+fPnXaoBwFq+fC/1559/auXKlXZjgwcPNqU2AO/gzfdSO3bssPt88803u9zHteds3brV5RoAgMJDwAn4kJ9//tlwvFu3bgWu3b17d5fWBAAjRfk6ZRQSlClTplDWBmAObw4OjALOq3+IzBlGxxuFngC8ly/fS82dO1c5OTlXPpcoUUIPPPCAKbUBeAdvvpe69odPK1Wq5HIf155z5swZl2sAAAoPASfgI5KSknTkyBHDuRtvvLHA9du1a2c4HhsbW+DaAIqHon6dOnDggN3nkJAQlSpVqlDWBmAObw4O2rdvr9DQULuxY8eOudTDtccHBwcrLCzMpRoArOPr91LXbiV5++23q2LFiqbUBuAdvPle6tp/m7nzOpGMjIx8awIAvEug1Q0AcM6WLVsMx8PDw1W3bt0C12/VqpXh+N69e3Xx4sV8X8o+ceJEpaamurzm0qVL7d6R0KBBAz333HN2x7Rv397lugCs4c3XKTP88MMPdp9btGjh0fUAmMvbg4OQkBDFxMRo0aJFV8bWrVunPn36ON3D+vXr7T5znQJ8iy/fS23evFk7d+60G2N7WqBo8fZ7qYoVK9rtunPtD6g6Y//+/XafK1So4HINAEDhIeAEfISjG7MGDRqYUr9cuXKKiIjIs6VHdna24uLiFBUV5fDcAQMGuLVmQkKCXcBZrVo1PfHEE27VAmA9b75OFdRvv/2mX375xW7stttu89h6AMznC8FBv3797ALOefPmadKkSQoMvP4/25KTk/Xtt9/ajXXt2vW65wHwHr58L3Xt05vlypXTnXfe6XY9AN7H2++lWrVqpYMHD175/P333ysnJ8fprXOTk5O1du1au7GWLVs6dS4AwBpsUQv4iLi4OMPx2rVrm7ZGnTp1XFobAK7m7dcpm83m1ppJSUl5nkAICAjQgw8+6FY9ANYorODgWpeDA2f87W9/s/sG4YkTJ/TWW285de4rr7xit62an5+fHnroIafOBeAdvP1eypHs7Gx9/vnndmMPPPCAgoKC3K4JwPt4+71UTEyM3ee4uDi99957Tq8/fvx4paen51sTAOBdCDgBH3H8+HHD8apVq5q2RpUqVVxaGwCu5u3XqWeeeUYvvviiEhMTnV5v9+7d6tSpkw4dOmQ3PnToUDVq1MjpOgCs5wvBQVBQkMaPH2839sorr+ibb77J97yZM2dqxowZdmN9+/ZVs2bNnFoXgHfw9nspR5YtW6ZTp07ZjQ0aNMjtegC8k7ffS/Xv3z/Pe39HjBiRZ4cLI9OmTdO0adPsxqKiokx5tygAwHMIOAEfcebMGcNxM98HcO2N4PXWBoCreft1KiUlRa+//rpq1KihmJgYvfvuu1q/fn2edwinpKRo2bJlGjJkiG644Qbt3r3bbr5x48aaPHmy+18EAEv4SnAwYMAAdenS5crnS5cu6d5779XQoUO1ceNG5ebmSpJycnL0yy+/6J577tGTTz5p95R65cqV9c4777j5VQCwirffSzny8ccf232Oiopy+C49AL7L2++lwsLC9P/+3/+zG8vKylLfvn31wAMPaNWqVcrMzLwyl5KSosWLF6t79+4aMWKE3Xl+fn6aMmWK09vbAgCswTs4AR9x7XtSLgsPDzdtjdKlS7u0NgBczVeuU9nZ2frxxx/1448/XhkLCgpS6dKllZGRoQsXLjg8NzIyUsuWLTPcOgmAd/OV4MDf319ffPGFOnbsqL1790r6a4vtjz76SB999JECAwMVHh6u5OTkK2Hn1cLDw/X111+rWrVq7n0RACzjK/dSV0tOTtaSJUvsxq7d2h9A0eAL91JPPPGEduzYYbezhc1m0/z58zV//nz5+fmpTJkyysnJyfODrlebNGkS7xEGAB/AE5yAj7j6nUpXK1WqlGlrOKrlaG0AuJovX6eysrJ05swZh+Gmn5+fHn74YW3dulW1atUq0FoArOFLwUHFihW1du1ade3aNc9cdna2zp49axhuNmjQQOvWrdOtt97q0noAvIMv3kt98cUXunjx4pXP/v7+vP8XKKJ85V5q+vTpevPNNxUcHJxnzmazKTk52WG4GR4erjlz5mjMmDFOrwcAsA4BJ+AjsrKyDMcDA817ENtRLUdrA8DVvP06NWLECL366qvq2LGjwsLCnFqvWrVqGj58uHbv3q3Zs2c7fR4A7+NrwUHFihX1008/ae7cubrhhhvyPTYqKkozZszQzp071bRpU5fXAuAdvP1eysgnn3xi97lr166qUaOGW7UAeDdfuZfy8/PTc889pz179mjkyJGqXLnydc+pXbu2xo0bp3379vEUOgD4ELaoBXxEdna24biZ7wNw9I/dS5cumbbG1caNG6dx48Z5pDaAwuft16mWLVuqZcuWkv76yd2DBw/q8OHDOn78uM6dO6fMzEwFBwcrIiJCFSpUUOvWrXlaEyhCfDE48PPz04ABAzRgwADFx8frjz/+0NGjR5WZmamIiAhVqlRJN954I9cqoIjw9nspI7/99ltB2gHgQ3ztXqpu3bqaMmWKpkyZokOHDmnLli06ffq0zp8/Lz8/P5UtW1aVK1dWmzZt+MEMAPBRBJyAj3B0k5eTk2PaGo7+QV2iRAnT1gBQdPnSdcrPz08NGjRQgwYNzGgLgA/wxeDganXq1FGdOnUKXAeA9/KleykAxY8v30tFRkYqMjKyQDUAAN6HLWoBHxEUFGQ47ugG0x2OajlaGwCuxnUKgDcjOADg7biXAuDNuJcCAHgbAk7AR4SGhhqOp6enm7aGo1ohISGmrQGg6OI6BcCbERwA8HbcSwHwZtxLAQC8DQEn4CMiIiIMx1NSUkxbIzU11XC8XLlypq0BoOjiOgXAmxEcAPB23EsB8GbcSwEAvA0BJ+AjypcvbzielJRk2hqnT592aW0AuBrXKQDejOAAgLfjXgqAN+NeCgDgbQg4AR9RvXp1w/GEhATT1khMTHRpbQC4GtcpAN6M4ACAt+NeCoA3414KAOBtCDgBH1G3bl3D8fj4eNPWiIuLc2ltALga1ykA3ozgAIC3414KgDfjXgoA4G0IOAEf0aBBA8PxgwcPmlL/3LlzOnfuXJ7xgIAA/rELwClcpwB4M4IDAN6OeykA3ox7KQCAtyHgBHxE69atDcfPnz9vys3kli1bDMcbN26skiVLFrg+gKKP6xQAb0ZwAMDbcS8FwJtxLwUA8DYEnICPqFChgmrXrm049/vvvxe4/h9//GE4Hh0dXeDaAIoHrlMAvBnBAQBvx70UAG/GvRQAwNsQcAI+pEuXLobjK1euLHBtRzW6du1a4NoAig+uUwC8FcEBAF/AvRQAb8W9FADA2xBwAj4kJibGcHzJkiXKzc11u+65c+e0du3aPON+fn7q0aOH23UBFD9cpwB4M4IDAN6OeykA3ox7KQCANyHgBHxI7969FRoammc8ISFBy5cvd7vuvHnzlJWVlWe8Q4cOqlq1qtt1ARQ/XKcAeDOCAwDejnspAN6MeykAgDch4AR8SFhYmPr27Ws498Ybb7hVMzs7W9OmTTOcGzRokFs1ARRfXKcAeDOCAwDejnspAN6MeykAgDch4AR8zIgRIwzHV69erYULF7pc75133tHBgwfzjFeuXFkDBgxwuR4AcJ0C4K0IDgD4Au
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@adowling2 adowling2 Dec 6, 2023

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Why is this commented out? It should only be activated if LOUD is set to True.

Spaghettification.ipynb
},
{
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@adowling2 adowling2 Dec 6, 2023

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Remove this skeleton code cell

Spaghettification.ipynb
},
{
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@adowling2 adowling2 Dec 6, 2023

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Replace this line with ### BEGIN SOLUTION ### (and remove from earlier). The website publishing script with replace code between ### BEGIN SOLUTION ### and ### END SOLUTION ### with # Add your solution here.

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