{ "cells": [ { "cell_type": "markdown", "id": "077f6e30-d021-4e92-bdad-1c61c4601cf7", "metadata": {}, "source": [ "#### M4W Series\n", "\n", "* [Table of Contents](M4WTOC.ipynb)\n", "* \"Open\n", "* [![nbviewer](https://raw.githubusercontent.com/jupyter/design/master/logos/Badges/nbviewer_badge.svg)](https://nbviewer.org/github/4dsolutions/m4w/blob/main/Curated_Videos.ipynb)" ] }, { "cell_type": "markdown", "id": "ced9f54a-f948-45f0-b065-b9476a54db01", "metadata": {}, "source": [ "# Curated Videos\n", "\n", "* [math4wisdom channel](https://www.youtube.com/@math4wisdom)\n", "* [Kirby Urner's channel](https://www.youtube.com/@kirbyurner)" ] }, { "cell_type": "code", "execution_count": 1, "id": "4c8405bc-32a9-4ef1-8099-7f483a064d5f", "metadata": {}, "outputs": [], "source": [ "from IPython.display import YouTubeVideo" ] }, { "cell_type": "code", "execution_count": 2, "id": "0740e3c2-225a-4a82-9a2f-a89bb38f32ea", "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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RBv19aUaeMOUVKjQOaHFpbPRGeJbFzNl6q4atWw5byhbUc52V0ZYBlrS4CDMHN9qEQ/vlxzbAwebxdE9cZPxXjEMxZcACMgeDIIa4hr2G8bi0Pkb7aBYpUMVTqF+YVG3lpd0gDWLfk2POpDuOsBSY7B1qj3ZDlBbEmobnsi0GDI4HjYr3gnYjO0VbQ0lwA6+aA4CDqZvbKLXW/Cr6eBeXFzySOXzNOd1m5G2jrczTSHFWH4o5R0um/u/NVzsLWpsA86yl0nnXmCNCdBDo3/JVjT6b+781Hi6VN0GoYy6QDfUkGCLQye5aYZdb/A1aLXtqNNTEteOfaQ0GZ4cBA8VCzC1MjWjGA5N872tyGZuefJIPUF6pbKwnJGHOcGsAeYcCQ3SYIv8Al1LFbZ2EMgh0m3RdJuX251rkmevw2/Uw+f8A1E09OpVrf3sDMHFtmxbKNYvBDpPWFh1Gtz3nFtEZz1MAIuRvgtdrxU2JpYcuDHuMtEgQQBMPnpRNh/4ohQwjWnpNzU3AjK7ovkuHS+qpOTH/AOkNJKTahD/7yx0tIbpANgDO+IcJXinhqzonFB2UsD4AF23OgtNvFbg8m6BGgh1450Xdm+dx/Cymo4BtCKbNCOvcAN5M6KXkxnr/AKhpX7dgjD/x6f8AOFuUqLMjZa3ojcFp7dNsPFvh6dvvtVhQ6Dfsj1Lzq8uo0wCS1oA6gqzDbRa5rXVMPlFQNyZWTmc4OdlAjc0AzpfqVpXoh9NzHaPaWmLa2KiGDbLOe/4MQ2SLWjhwV06lmvKGljcO8tytDg52VsMF7SYO8RfsXmpjKRpMqU6QdyrgymC0Nku0JN4EST2KRuyaYDGBzwGzAmwtHDh4blk7OZkDMz8odmEESHTOYGJmSfFNfyfteH1qdN2Wo1kkiMrbQS1oJ4S50fjxjDMbhyWjKJeYAyX3burMJ4KT3OZma7M/M2IJIOhJE2vBJN95WBsxjS0guBZIEQOkZO69xN96a/lf2oae0MO7KWsPOIA+DjVwaDppJieo8Css2lhSAQJkgNhmsjNb7pB7xvIC9+5FLm3eCxoa0gjmhs5bReJOvFKGyWMDee/mOJZfQGAWiZMc2YJPqU0fsbfIs+Y0fdChxlFopPIa0HKbgBbSgxvxNT7JRwrCiFF53mEREE+CqhryS4CRv7Vved0972+K0sC8B5zEDm7zG9bwrM+e30gt8fTfH00DiHTIqRfTMy9+3h6zrAWXYp2UND7gROZpvIuedfR3DVZOIqFwIeOwllxPGeHr6kOIflAzAOy3MsPO5t9ftLVo9YXFEO59SRG8t1nqOsa/hG/aGLZ9I3xWvha5kh7xGXeWazrY6wtgVqfzmekFxfblSV/i3/e9ZV3h+gO0+sqkr/Fv+96yt7zsN5pqRc2yTv4rnCW70zlk3tZgryVX+ft+lP8AxrHug36U/wDGtOmXwv6mPysv3KwRw0VY7a1ITmxAECbs/VaZ8p8N/qHf8RUuNjqZS+nQJOioGeUuGP8A9gjtokLcZtJhAIrGDv5NJjb6LlJ7qyWRHYq33Qb9Kf8AjWfdBv0p/wCNXpl8Oe+Py26/Qd3+pTTeVXjFCpIFTMcpsWRuVYPKamSR8IPuM/qXNlnt1LLPDoysBc4/yopj6U/cZ/Uoz5W0xuregz+tTauoOiBc1T8q2E2FYdrGf1qdvlBTPy3DtY3+pF0vgVhUTtvtFgXnsaz+pKflA11pqA8Cxs/zJs1V8P8Az8Vg7oVQ3a4O9/oN/qUo2jI6TvQb7UTTeqdNnf6ipZsq12JJYXgzlO9oG4zF+teamPe0xeYkgAWTcFmVm3ZxVU3G1TT5SDliZgKH3a6/Um4LpZXNP8p2h0X8AtobaBaCHHMdRlHiDvU7RdVdkoNVTs2m48R3BS4XGvq1AwGOJgW607RNLO0LAVXjNoupVCyc0aOEQQdCo/dR0T+EBNxdLSiee/u/NSRfr6j++K1sC/MC4/KDT4ytpVAdpPeVh3yecYJvziPz7FmeJRBAHuzxHMnXlDpP2+F9OpTNdYwSbn5R0zHfPBIEIqB7T4lZt19eqJPioKvbn+R/+RT/AJwrTC0y5rQI6I9SrNuaYf8Aj0/52q32bo37A/JUe/NnRFv33LHmruIUuNxjKLMzpJJhrRq5x0aOv/1cliNoVMQ4uxB5Om3N8HdzAWkN58DnnnN1tw3qzHaW6XbsbRktFRtQtPOFMOeR1HKDHejcS0ugNqd9J/sVLsU4ili/N6jszCCRAs6b5wY7ercrqti2mWicp0a0kF3WSLgdS7/T86cXkkm63fNjxH4rPmzjvHj+i1cJ5u+xpMa4fVAPcVsuJpQZJp75MlvXO8Lm42XS45yzYcI7iFnzU9X77ltgouWjTGEdxb+K1NoNy06g3hquFU7V6FX7P5IioKIdUXmeYREQT4JoLzIB5u8da3+Sp/NZ4BaGCphzzmAPN3gHet7zZn0bPRC3x9N8fTSOaRDG5ZvzBMT2cPWNIK9OnKAGNzZbnJqZFza3ytJWTRfIijSjfzRMT7L+HWj6TsoijTzZd7W6yI7PleC7272zhwS7nsZEG+WJM8IWyKNP5rSOwKHDYY/5lKnEa5BrNvw/Lep/NmfRs9AexSoo6/xb/vesrGK+Mcs1/i3/AHvWVjFfGOXf033V5eX7f9oHEAEnQKsxu1mBrmtBzaX0UG1cVUzvp6NEGNJETM9s+HFUxK2z5NeIcfDL5r06q50BxLo0k+KBpJMr3SoErepUT0hmlpGdp3g6Fee5PZjirI8FLQxD2RDnAcA4qetRc4ugEXutd1MgJMkuC/2btEVGAPc0PBiJHO4GFYLjRbcup2diOVpBx1Fj2gar1cee/FeLl4+vmLTZ/Td9g/kuOJu7tK7HAdJ32D+S414ue1Yc33N+D7GAcwIGqicYtvUhflZ1lQNWMjfSei1bgLosYWpSMdq2GyQuhHXeZ6U9ZI9SOZLJFiLyNV6rUgBomGqmMsSOtR029m7RDjlqdLceKuqRk9UaLkqjIdaxFwuh2XiuUYPnCzlEXBtRMbnT+AVdXbFR2+zTJvq0FWLh8CQdM35Km2hiWtLnDQgR4AfkucvblDWqNMNsR+l5O/sWm4OqDmW6xooMI11aoTfKNVcMpBsWgblzbY2ww2qvcpxEkytnZwdScWv6Oo6uKsWuC9BrXCDAWdytbfpx6bWaN57B+SlfiMwGkcQIn98FpuognKw9i1a2LNI5XaaHipPDPLH5WeIIOT92U1LCsc93NgAbreMarWoVhUpZ4uC0T3FS4bEZCQ5rjI1F/Hgtffpj6WeArZMM10Fx5On+IiT1DU9ikO02jVjzcCWi1zYiYJHd4psj4ln8On6lYE2H7/e9auFZU2u1rC4U3zBiYgnKHagniBPWpa+0Qxzm5HEggDgZmb9WXxIU2IDzlyOI5wmI6M3N1qtfjQGS1khhDhIiQBBBm954a77FBhu2GmDydTQG4G/TQrI2u0yeTq9IAWuZA67XP7lew7E8yzDd2fhBeMpF/m5u9RObi+fDh0n5DzdJYWTwtnE31mNyCV+0Q14aWOykAhwvqAb8Nd/VE3jwNsUyDDKuk9H9f32Law/Kc/lCSc1pjSBw65N7iVO12/ggqdr1Q6nhnCRNamYOo57bK62boPsj8lUbdmMPP+op/wA4W455GGdlMF1MNB4F0NB/FWeTaIjl6nLug07im0xAb88dbomeEda0sTgq1XG06T2AYW7gGxBgXJ68xb+CuqVMAZQOaBEdS1tpY44NjnuOfOYps4GOO5sCV3Peo5/HlqNwTqOIruc/OXUTldYb723RZeqlAgzxVRgNoEVS51mPJzNExf8AYXSgtcwAnv49a9HnC+Xl5P3TcatDDmxFzOi3yx5nNpERxXigRTBIu7SNy9HFSCN/UuM8rbtMJPX5T4SvJyHXKHdu4+FvELaVSHEPpPkdOD2OGWD97L4K2WNj2Y3Yqrax5lXs/JWyqdq9Cr9n8lyqoKIUXmeYREQT4OkHvIcJGX81ueZ0/mBVRbvkjsJHqWY+s/03e1aTOSNZnJG1yJzAci3LIkwdJj1SfDWVl2HJY0igC4tkiD0ubbW2p14LTj6zvSd7VmPrO9J3tV7xe8buGwwcfhKTW2OgOs8dOP4HfAn8zp/MCqo+s703e1I+s703e1O8TvEdf4t/3vWUxXTKzXEU39hWMV8Y5bfT+6x5POP+3N7aph1drROYiTw4D1L1g9ktN3unqCztZn95Z1tHrK38LoFzz5Xb3fS4S4zb3R2TTG8rbobOa12bjr+SloCVN1bl5t17+ka9ahTbo0eCrcThmOGgVnW7VoYjRIWTTncZQDSYVh5OO+MHYfXvWjj2kO6itryedFR7eLZ8D+q9nDfMfL+oniupwHSd9g/kuRfTue0rrsB0nfYP5LksS+JA1J8Feb7nHB9rSqCSvTWxc6rBqRpc7yvLSSVlG9TAr02qS6GiSoajoFl0uwtlAUw5wudUtJNqyjs2rVO8DrVlT2IWtEwugp0Q0WC9PaYXFrSSOB2nRNN0bljZON5Os07jYhXHlXTim0xvj1rlmyDdWOMvb6RTANO9wXfkqbykpABsNAEnQL23Gl+zHPaRmFjO42lUYxNR4Ic4OAvbclx87cbWezGRS7SpX3WMHDaDTxWvVxMHessnqw8RtsYp6NIbxIVUMUUbtAg71zpr2i7GHaDIBWht3DB1IuGoXvD7Ske1Z2i/Nh3kaQufVTLVxafk48F5a7olsx1jQ/iVYbXx4rEABoDAW2M8FQ4B9ZrXPpAc0Q6TFjqpG7ZqtBhlME6mfyW0xt9PNjnMbvKbdrsj4lv8Nn8qjo7IFNrWsqvaGtaDBIByggkgHeC30R1r1sWoXUKbjEupUyeF2yrBasrd3arfhBSa0GrVDZAaG5x8ppjmneAW9jjvuvDKVIxOJ5TNRc0Ziei7K4nWxsOB14WtXMDoncQR2jQrXOzaENHJgBoIFzYGxA4TAVRpDDtcGgYt0ODgBNjEMI1ixP496ie4MOcYl+RtTnyH5RydnNEHefFWhwdI5ZYDlJI1sS4OJ8QD3J5lSlzssEkkkEgkmJ39QHcFBpswWblMlaoznGQA4QTldaTw7r2hSnZ7if8AE1d+/jPXu/8AVt06LWSGiJJOu89qkk9qCs26ZFD+PT/nCk2k1xwFXKSCGNII3QWmfwUe3B8Qf9+n/OFZ4aiKlIsOj6cHvC6niws8KGnterWwwFBzRiS8NglsxPSAOu78VQ4zE1KrgazyajAWnMCDrOnf1aL1jMCWuc1wuDB7Quj8mdnU6lF1SuxlR73RzhJAba/XqfBeiyYeWEvbw5yg9W2ExrmjLqOBWztjybLTnwrSQZLmSLcMv42VE2oWkgyCDcGxBW+OWOc8sssbjXdU8E4aFo7j7VmphBYlxLgZB3eHBUVPyqqANBptMakk39i6CvVAE6jqvPZxXjywynt6Mbj/AGuK2j5VvGPNJ9Pk6dN7ZbvcWuDs08Du6rrusFi6demKlN2Zp/DqPWuT29sVu0nPbRgVqDbv3Fx0pz6XZbiVzOw9uVtn1zTqAiDD2O3wuL48O8fPl9ZVVtXo1fs/ktzZ+Pp4mmH0zI3jeFp7V6NX7P5KOlQUQovM8oiIgIiICIiAiIgixHxb/sla+OxbG1nNcYPGLLYxHxb/ALJVXtg/Dv0nsHAb1txZXHzHcxmU1VdiKueu10cfC8D8VINoGnNrdq8m72ncJHit2lstrzmm/XdTPLd3Xu4cb11i1Ke3I3eCssXjKjKYqZbG5vos1cBSpCYBdun2KWoYyA6LO6/D1Y45a81THbbibN79VIMYanzTxg3VszZlN12gN7FFWwFOmeJ4mFdxOmXyp8eyaf4psS1SQ3WZPD92UuOILSAtjZBFKnmPE66LTHLr5efPCZW7+F1gOk77B/JcRiqhL3DrK7fZ2JDy4Njokm15kLi6nTdA36laZ59rt5uPDrNImUydRAUhAaP3K9ERqQO38gFEQXGAD7e1cO3rC089SS4NaLy7RdXgNrtBDA0OHFp/Iwq7Zuyg4N4gz3q8Gy2hotYGRffxUtdSWN9tUFuYaKmxW2XZ8jGmJiWjMT6grWgwci8cFA3Z7Is0DuXLuqHGkYijUINQ5dc/EFUGIp8mQ0jnRJC7mvRa1haIvZcLjK3KVnv3E27BYLrFzl6X+zaRdsus0auqW8GrTweAewk1BDCLmZVl5PmcDUH+6f5Wr3WYXMLNxCZVxj9yOq0sa1rQIAVVXpvJ6Z7AIVzWMNWhWxAboJKyenruM7Lw5M5rqDaGFcKhLbAqxpVmsDZcCZuQmNxbXAvY4SPkHepfbrU0rMJh6pNnT2gq+w+HLWFlQDKdY61qUNoMO6CtoVs0Qbn9lc5bdY4yRVGgIqMp3c0khvdHsVRWoPYYc2D2hdRWohuesIzZQI/CT6lTbQ5wLjwWvHXm5vcjs/J//DUf4NP+VWSrPJ//AAtH+DS/lVpC2YAKrNvYp9GgH03ZXZwJgG0HirLsVT5UiMKP4g9RXGd/bW3BJeTGX5Unu3ivpf8Aoz2L0NtYn6X/AKs9iqwVKG8bdW9eLtl8vuzh4/8Axn/DpaW0Kj6bHB2ohwgaju71I3G1PnfgPYufoYp7AQ0wCZIgH1rZbjanEei32Lrvfl579H58SLeq7lcue+VwcN0EGQbdYW1RxT29ExaNAqRmOqdR7lsMxz+DfA+1O9+XF+l1+I3a9FlVxe9oLjqdJ8FihUpYaYc2nmuQXa+JUXuhlaXOYyACd/tXHYzEGpUc86kz2dS2wuef9108fLjhx/2zb6JS2hmEte1w6oK0X7Nwz3F7qZLnGSS99yfvLi8NUIvTcWvHCy6LZO1+W5j7VB/2/VWzPHzLWH7cvcWPuVhPov8Au/2rd5cAAAWAAHdotE1F45Uri5533avXGeo3KFbkgRT5oc4uO+STJN1V7VwVDEvz16Ye/SZLT/1iVK6oonvU7ZfK6jxgmNwt6Es+8T/MSpa+0KrwQ50zrYexa7nKFzle1+TUb9N0tBK9qLDnmNUqrw5e6LBcBqQJssrR2lrR/iBWJG8iIogiIgIiIIsR8W/7JUdbY5rV3Pc4tp2nKJdwPqUmI+Lf9krNfkQ92apD3aiOExBkbitMPTXj9Kvaey3USeTLqjTJnIQQAbTxtC9YPEQFc4bHUqbC0vJneQ4H8HaWXO0AA5zRoCQI/BMvT2cOWrp7xWLyw50mTHYExe1aZLcoJ0EBalRlQSCyWutMhecLgXNkhgmN5Ukmm9yy/Cxo1nNaHSQd7er2rOJxOYAgrQ5Ks8kNaABrJUtRkNaDrvUq97rTXe0veGgSSQIGq38WwmmcrS1rSAARc2O796rW2ZDsSyXZQLkkxpwK6Xk8OWhprCwtzhwtqLBaaeXLO+Y1NlYB1KpUMtjK4WPGI9RXHVM2Zxm0lfQaLWiYe02Ng6dbzC+fVxc9pVZx4L2jfJ/e9SYXFNLmsykOM86bHeLdi1CIXkPyuBGrbqrt3eync0K1qVub61SbIqAtBGhuFYVsWGHK5ro4hpPqWbaeWzQxDBTdBBRj+bbRV5rUzoyp2ZSp6VUuGhDRxRdaU/lHtB9NoDDBfIJ4CLx13XKM0Vv5R182IDNzG/ib+oBVD7LvH0xyu66rycP9xq/xf/1as1argRlElQbFfk2bXdwq/wD6sWnQ2jDpOvCNEs259N/FOIZO9VrBJkkBb4ris08eC0Bh8xvuNjwKzssuq3mW54e6kRzSOtYoNY3NJ5xUz6lUSCaZ+7+qwWmoCHubfc1v5nsUWb+Go1xBjcrXBVSMs8Voeahg1JE71stdACl8upbPbcxeIeWuZILZta46pVTincxw4LZG0aUmSTPBaOJrNcYYCcxEDrWmM08uWVyvl3Pk/wD4Wj/Bpfyq0my0tkU8tJrfm02CewLd71o5Igqn8qh/dQZ/zAPwKuBJGqp/KufNhaPhG+orjP7a2+n/AKuP+XJNKkao2qVoXhfoYlYFO0KFinao0/CZgU1Nt1E1TsMXJgJGGVam2cTkp5Bq7XsXOOKttpfC1SQRlFgVqNwrPlOJ7F7+PHri+Hz59861GugqywVVrntcTleD0hv7V4FKiPkOd2mPUsPrhvQosHaSV1l5Yx0pqda8ueVydTa1bTNl7AtZ2MqEyXu8Ssv0q77uve88SoXOdxKrdlYxz2HO6YMAnVbhrLizVdSvRc/ivOY8fwXg1VBicVksDz9/1f19Xbpy6xxuV1F/hvi2/vepVp7K/wAPT7D6ytxdPByTWdn8i0dpa0f4gW8tHaWtH+IFZ7cxvIiKIIiICIiCLEfFv+yVBtDHBlRzC3v/ABU+I+Lf9kqu2q34d/d6lvxY9vDuZ9MdvLsYHfJAWjXqRUDwIadY3FSNYJvccF5NPd+S3vDEx+o1drFoztBaYhe2sqR8YB3KpoYksEblJ7qCIXk62Pq48ssWUCm2Se9UeKxUkwveLxZcIBgLUo0C8wFZjrzWeefbxEmGuSTaVsEfWHgfYvbsMLN7pC1w8A5SbzEjevTxZy+Hi5+Gz9y48n/j3/w3esLm8W/nEdZ9a6XYDCKz5n4s+sLlKx5zu0qcn3HD9qMlYbSOsaif3+Kzlv6+xb9Ci6oQSIBgAbgBp6ys2ultst+QAHSFfNiqBxVLSpQR2LcouLTIWdaxZHDGLmy1doYptCkY1A07Fk415tZVW1QSwzckI6tcyXOqPL3Xc4yV4qbwvbDlMdyOGq0YOi2I5o2bWLrtFW47mrQoYYVariDFMXg63VjsFofs+s0i3Kx/1avOJotw4JDdRME69RXcs1/LmlHAhrc7TYkg9wn8wsimCOubrQfth7WtGUBuYT43/BbxfeQsuSZb/c14748PD8ODqVmlh2zrda1eoZUBxDlnptMosMZDWR1qGi5oGZ4JYNQOsx+a031i6JMqWqfgcvEt/Agn1JJpzbtsYllHPlMhsTYXuJWMFRotcXMzFzR8rQTYEfiqk4xwqc7nN4H2q8wwGZpptBDjDtSYuvV2x69Y8urt1myjNJh/22fyrdlaey/im/w2fyrdBWagCp/Kn/Cj+IPUVcKn8qP8MP4g9RXPJ9tbfT/1cf8ALk2hStXhoUjQvC/QxKxTsChYFMxR3+Gvj9o8iYFNxnR0gA+tQ4Wq/EOiQDqBf8FYvpNqNyvEtO5bmwNlMpve8EmRAncvTw54+teXx/q+LOby3uKnEYTJcz++1eRS4AldJtDBskE2lVVcMDoE+C9G9PBJtpYaMwzCBvMArYx1Om6OTbEam9+5Ssog7l6fSACly8L087U+M2SXtzMF1RvplpLSL8F3mDu0gqo2vQaytnyiSNU7aSTdaODpmnTAOpuVNmKiNRQVsVFm67z7FjfNbY478Ja+Jy2ab7yN3Z19a1MyjzLEqaevGTGeHY7H/wANS7D6yt1aOxv8LS7D6yt5HxuT77/kWjtLWj/EC3lo7S1o/wAQKz24jeREUQREQEREEWI+Lf8AZKr9ptmu/u9SsMR8W77JW75mx/ONLMZN85E34Arfhy6u5j2mnLwZiLcf/FX7ScQQQ45SNAd+/t3Ltjs2kNaAvxqWPVrp1KOpsWhUjNh83bUJ/HMtbybdTjxjiaRlglDPErtfcTDD/wCsOzlT/UsnYdD/AEo/5D/Us63mUcXSpF7gAruhhwwQB7Sr6lsukycuGAn6/wCqzUwFMgh1Ht+Ej81xlja1x5MY43aGLGbKw6an2LzgqPyz2j2k7u/9R1jdh4Y//WH/ACH+pTjZdP6CYMzyhJHGDmkLXHUjHPK5VU7GHwzp15N2p6xu/f5rjK4cC6OJ9a+lNwjacuZSDOaRZ1uOkxuVcfJTDkzyVSTf41S3bmOT2LQFRzswkgAro6WDA3Lew3k/QouzspvBiL1AfX2Kwbgv9s+mFLHcqoNCy9tpy0FWnmtviz6YWGYW3xZ9ILnS94rWUlDisPmVwcPFzTIH2wvFbA52luR4B3teAe47k6nePn+0WsFZzWGQNY0ngFrTZdyPJXDi/JVP+VHeSuH+ieD/ABV24tVewebs+t/FPX8lq9V6jGi5BIB0/FXVPZDKdJ1FjXta90nngmY3E6dELXqeTTDryvpM9i5s3RxeMfnkn99S2sDi5bB1C6N3khSOrqw+/T/pWKfkdSBkOrH79P8ApSza43SkqkESFp1HLrB5LMG+rH26fsXn3pUyda3p0/Yuetd9o5rDU951SrUmY0GnWund5MMyxNVo6n0/YvDfJKmbZqx+/Tt/1VmKZZTWo4uo3Me9W+BrFsAGLK8b5H0xeax+/T/pU1PyZY061fSZ7FbHG1tsszTb9hnqW8dAVqYGlkBbfmta28bpG7sWyukNVVeVEebAD57T+BVtG9VXlM3+7jjyg9RXGf21twf1cf8ALlGtXsNXprV7DV4tPvyjVK0ryGr2Ao0lSMVtsiqA/KbSCB2qkfiWM1Kjp7XY7ohxjfoFphhnLuR4ubl4ssbjcnV4nLmBdoFTYvFMzmA70StjZeOGKZmPSaYP5Jj6TQ6ZK9lfIjVZUB0Wami8mAoa1VcV02aBABMqr2pWDyOpaeK2m5jiwC3FQ1nvLQ9okEWI3dytnhzPaPEVYsNd61SV7fReACWmCJB1URK509OOpPDMpK8ysSpppK7XYn+EpfZ/MreWhsT/AAlH7J9ZW+uHx+T77/kWjtLWj/EC3lo7S1o/xArPbmN5ERRBERAREQRYj4t/2SrrD9DvPrKpcT8W/sKusP0B2n1la4em3H6au0tnnEEAuAbkc2I+fAcZ+yHD7yw/B1jpiC3nTAFssgxE2sCLdXXO+sZhvItrfjxXbTavxeBz1c5qNHQgG9mZnD/uWmfqry/AVpbmxBLLZrmTzmk3kagObpv6lJW2fm5YOe2KzhqJIAaGuYO4PP3ioXbNrubDsQHQGwS0wHNbZxGbXO0O8UVJWwdd7nuGIytcZaGzYQ7r62+j1r17nuc2oH1AXVHsOYC4a1wdlv8AejhKiGBqCAyv0DIYLDKHAsZE2GUFvXMqTZ+FrNyuqVS6ARlzTJkjMTvBGW24goPFPZb2Na1tdwAaAYsSZOY+DhHAt6zO1gMIaZqS/NndI6twBO+wF+pbKyUTaHEdB3f6lNvUWJPNd2fkpSERr46hyjQ2Whoe1zp35XZgPEDwWszCVDQdS84LnOBBqTLhzQB2XE+MLbxVMvpPa0gFzSASJAJ0MdWqrzs4se7k64pNLQwNbaGtyxv1s+8fLRYlGEqNd8fzSR8HJECHCGmbfIPceNohs6vkI84gkWLZAEtvadS85p4WU2K2a19ZtU1CA0NEbiGCpqevlPw7xCdn1SGzinAiAYJFyIjXsIHGeNipn7Pc5rGmpMVH1CTJmc2UdQGYeiFq8niMtSHFrpcWjlBEHoNAkZYMA9Q61tDB1Gva99cwHEuEkNM7omwsIHbxUZ2WHvqPFWXPDwIghufLftGUHt7BATYXBuY/M6q543S4m3OI6j0td+UcFvO8ZWnhMK9hGaqXNa0gNvFz27vZwW2Uc1G/ps7/AFFS7utRVBz2d/qKlQa+OoGrSdTBADrOne2ecO8SO9azsDWmWV8gIywAY1aSe08+/WDuVgmYExILtSN6KqquDxAcA173N50kVI1nLYn5Np4yT1KfEYasQzLXywDmJBu4zG/QGLcLL3jaL6hYWVsjW62POMiLgjg4R1rXr7Ke4NaKxaGsa0akyA6XTOs5DOvMRXulgKgqMc6ryjWZi0OBnMS4Am94a6O7dv8ANPZ1RsgVcrSXGGzbN16kCXEaagblt4ZpZmz1M7nOOp0nRoG60KYOHEXmL3tYom3mgwtpgOdLgLnid5v1r2FnsWAqiOj03z1fmpVDS6b+781MgwIVb5QiaAvPPHqKsx1lau0MKa1PIDEOB0nq/Nc5TcacVmOctcs1i9ZVbjYjvpB4J7iO+kHgV5/08n1Z9Tx/Kmda6r8XtCGnL2SuixPk7UeCBWaB9k+1V9TyLqOn+8MuZ6B9vWtuPjmM3fbx/UfVXO9cfX/blK1YutNlmniHC1gN5i6vMd5JVKIaTWa7M4N6BGpjisDyXfBHLN9E+1adpL5eK5SNXYe0TQrEHovEH8ir7E4zMZCr/e2+W/Ctt9U+1bzNlOAjOOqy5yyx+THkjVdiivOYlbrtluJvUHgnuWdzx4LjcdfqY/LmdpOHKxwF+1ReeujI023q5f5M1HEk1myTJ5p9q8DyUf8ATN9E+1adsZNbcd41cHjTlIm7fUth9VtSzwHevxUtPyZqNM8s3SOifap27AeJ+Fbf6p9qdsTvJ6qnqYIEnkzp84+qAtErp2bCqNB+FbJ35T7Vip5Pue3n1QX7nZfwXN6/hth9RJ7rf2H/AISj9n8yt9a+Aw5o0WUyZLRE98rYWVePO7ytFo7S1o/xAt5aePYSaUAmKgJjckSNxERRBERAREQRYj4t/wBkq6w/QHafWVS4j4t/2SrrD9Adp9ZWvG14/SXssqzEbKc+qagqZSSCRlkSwPDDrqMzfQ61ZLLt37/e5dtFVU2XVJb/AHh0N6MtLiCXXgl3zS5s63UzNnODmO5d5AcSWy6HDNIETuAA8TvW81ZcZ3IbV4wDhVc/lAA5wLmgEbi0wc0iRyfVzOtRt2XVygHEvtFxI0bB+VvJLu2FaIEXbTpYR4qNc6qSBJLbgEm0m/DdotvqQrLTbSSiVHiugd9lJxUWJ6B7PyUqoQq6rsqar6oqODnZogWaS1jQY3xknv8AHffVawS5waJABJgEkwAjXAgEGQbgi4PYoelcdm1C7/Ecy0tLSflNJ+V1PHY7fCDZbjTDXVpcamd7wCC45co32IgeAVhSxDH2Y5rrTLXA2uPWD4L2i7VuJ2Y+rQ5I1jmc7M5xB1F2wJ5sODTGlo3ysVtn1pLmViDchrZaLtiOlFoaR2HjbfbVaXZQ4Fw+SDe2tu8eKlOgQ218JTcyk0PJLrzJzXJk3O6/dZT7te5YCyTM2hEQv6bLcfUVMepRVOmz97ipAqCrfcrnAuqOs59xLSQ9+dwJBncxvYOu2/TrsqSabmvG4tM9mix51Ta6C9gcI5pcAbzFuuD4FQVtPZ1eSHVtIym8EgXOWfnAO13kda2Rg6jabWiq9xa4uJk5nCSQ2SdwMcN8Kfz2jvq0xb5w6/6HeieCnhF20KOz3NFDnNmnLjIJzPcLumfrP8epRYTZtRrg59QyIzRMvygRN7DNyhjfnvorE1mNJaXAOyl0E3gansHFZa4OAcLgiQQZBHEIbehc8EKwKgMhsEjWDp28FlERU+m/u/NSwoaXTf3fmpibD9/veqMLI04LAWSZ3afv81A7k7ERAWCsuN0ad/4IKvb/AEKN/wDNb/MFCpdv9Cl/Fb/MFEs82WYiIs2YiIgIiICIiAiIgIiICIiAiIgIiICIiCLEfFv+yVdYY8wdp9ZVLiPi3/ZKu8P0B2n1la8fptx+kO0MMatLK2JzsdfSGva48dQCO9Q4HC1aLpdUDmbmk2bLnOMW3SxouLDct51UNiTEkN36kwFq16lKuypRL+kCw7jJG6RErRo0KWza9MP5KpTa55sZMNvUdGl+m08bRpCDZVVj3vpvYHu3kn51Rx1G/NT9BTGlSc7MK9RodmdDSQ0ZXhrjEWgkA9p7VjzKiXF3nL5zAk52zJaBrvBEeKG3vzSqeU5R7SXUnMEnibbrDx1Kjbs+pTc00qjWghmaTqQTmAgaXEaXHaparKBJmsOc4PmWm7cu/cOa23aohgaFItaazhLbTEFrXFxJMRq/Xh3zDbLcJjLTXaLRFzf4T6v1qfoKzw4cGgPdLhv9X/q8NxLPpGkxfnDsnxUzXggGQ4cQZ6rFEqLEmWuO+6l3qLEDmO71HWxzGPc10jKGuJiRzy4CwubsPiFR5xbW1Ip5w1zXtfET0XBwEW+r4rxg8IygcwqCN8xpBm82k37oXgnDVi95uW3MzbKS2QPuHwPWtbC4bClrA1j32cAXHpAANc7UD5fUeAsg9t2TFJzG4kgOMm2hg3HOtqLfVBUlPBtY5r+WAFNz3vPHNLrmbANPgAtZxwTyeY52d0ZgTBLmEk68JHGVK52DNPLJLNfl6dCZ4c3dwUXaRuEYabqTKwgPc7S4znOQTN+mDu3arydmgOBOIcedIzXM5i7jrqJ4AcFmozDVKjIcc9UtqCJOaGw0wREQP3JUNOlhAG5iQXhhAJMiwY3o8cs360NtjBYQU3MPKZw1pbmLrudJuQdCIdeb5jYQrIkaahU1WhhMzhJYWucDYumGgnUERzh/6Ft+6dAZQHEAC3Ndu1EROgRGw/pt7/UVJyrcxGYSIJ9ajc4FzCDINx4FQY7C0SC+owu0BgneQNJhUamH2ZTDqZFYOcwBsWghgeBIm8GpJ62hbOKwFKu4Pc/5LQS0gAkOzNNu1w7HlajX4MwYcCZNy+2aHGfEfjovRqYNrDzSWNLXaP0gNDuMQ71ou0VbAUqjy7zkZn3bAE88Vi2L8Kr4+x1FT+5eZ2Y4gkZ8xEW6TDHS0+Dj7zuKzXOG5TI9psMubURAbAIMnUDtXmkzBOIA6RGhzC0GZ3Rzvx7FDaQ4BrmU2mrJpMFMk6nmQc17g5gSOoLzh9ntzgmvmawtDmxA5gcyNeJPgOC8UxhQWPyODn5S0EuMzlItJG8eG9exVwhkgyCS8mHkc65MxaQ4eLepDaOlsxjWsjEABhaBaOgWzof9sg9pVwHCbR1qop+ZGBBBI5ol83sY9KP/ABbmAwtFobUpAjMyxM9F0G4PciJ6fTqd35qRR0jz3935qVUMw9iE7tQgJQ3jcgxuWSkpNkAFZkTHisFJQVe3zLKX8VnrChU23xzaX8VnrChWXIy5BERZsxERAREQEREBERAREQEREBERAREQEREEWI+Lf9kq6w3QHafWVS4j4t/2SrrD9Adp9ZWvG24/T1UphwAcN4OpHYoqeCpNcHBgBBmeuExzqgpk0y0PkRmaXSTYCxG+LrSxG0Kwq5W05ZIBdewzPDn7tMrbfW7Fo0b3mtOBzNARMmYcQXXm8wD3DgvPmNL5jdZ3zu/ob4Kuo7bqFoDqBzhozXIAJax0G1unYfVPBb9LGGpTMDk6lzBvYO10G71qGnr3PpWhkGIBGoEAeoBejhafzZgEC5sCbgcNB4KspbVrNyF9PMHUWP5oLcri2o57TrYZAOouHFbPum435EwCBIcZvOgi+n4hU02PMaUl2TnE5pk6zM66ypqVNrGtYxoa1ogAaKrw216jjBomXOhgkiBybHDMY1zOLTwjfCssLVNWmx+UtDhmAOoGonrUQxHQPYfUpHMBMkA7pheMV0Tbdx6lIUHkMHAJkbbmg79N61sWypmD6bn2a45bFpMHKCDBJJIOo6PWtJ3nmc3GTP1acr/Lyf49aLpa8kz5jR3BOTbva3wCqcPjcZUpNqCkyHMzDmm5LQdM1rkju61t4t1R7GGmHtcKjQ4Ajo525z2Zc3470NNzk2iOaJ3WWBTbwGvAfvcFV06+LbmaaecZ3ZXGJLS6pEwdwFP0upSOr4oAfBtM6wCC3nwflX5snchpvvoscCHMaQRBkDRBQYBAa0Abo3aWVVQxeLDGNewZiKbZdq5xAz6HcZd2NKuiIGiIhf02eruKkcAbESOtRv6bO/1FSoPHJN+aPAIWN+aPALRxTMQ3ljSc4lwIYHBpAORxBGkDMWC89Hrlar6+LpuzOjJmygETzXVGNbImcwBeT2XRdLk0xMloPdf96IGNFwAI3gQq6nicVLTUpNa22cDdzZMEu4rGPbXJcaJqAGg8tFgBUhvJiD97x7ENLHk2/NHgENNvAddv31Ku85xd/gRvgxaznAWzbwGmPrLFeri8waGCA8S5oiQHsmxNgW5+Og3lDSzyNnogdwWWiLQLcNO5aOBxFd9RrajGt5pLhvF4bvPSn/o7iFvoiGl03935qUKOmee/u/NSwgArCTwXqIGl0GEKIqMLM9SGyxdQVe3+hS/it/mCiU3lB0KNv81n8wUKz5GXIIiLNmIiICIiAiIgIiICIiAiIgIiICIiAiIgixHxb/slXWG6A7T6yqXEfFv+yVZtxbabeeYubmw1PFa4em3H6bTzYxwVQNo4luTPTLopuBDWnnuFRoa4EAwC1xMfVK3BtSh9IzxCe6lH6RvpBdtGs7HVQ2oWUMpcHua4Ak5mgRIy6m0ccpupH4yoaTHlpY91XIRybnyGvIJMCwLQSDxIUp2tR+kb6QQ7Wo/SN9IINWltWs805oOpy5uazjYhhI6P1z6J7BLicc/NTNHMWua13xbtHObzsxGobmOU8BZSnalH6RnpBDtWh9IzxCDWp1cRVpkPGRxbSzN5ORLxzwZsQCb9ithpAstL3Vo/SN9IINrUSem094RL5bGJHMI6ipStOpjGPBAO4n8FPy1+g70SglB1VRXrYphdDJzvHJzBiWO5kSIgtaZ05xurLlfqu9E+xZGIO5rvRPsQVr/PHOpkiBnOYNIENFanHyudNMPOnhKjxjcaeV5PRxdkLS0EDk6gYBJtzuTM6yTqArXlrdB1vqlBW+q7wPsRdtTlazqNRrqb+UAMZC1s89wbBzWOUNJvvUDGYqQTnIzUrZmzGeXzeOjAManSVZCt9V3blKxy31XeifYhtjB0nMDsznulxjM6SBoL9096nPE3URrmOi70Sjq/1HDuPsRCp02fvcVKtZ9TnNMHXgeB6lIav1XD7pQe6skOiZg6W8FUMGNp6TUIYWiXNg88ZXOEjnZZncrQVo+S70T7Fnlz8x2nzT7ENtRlSu5lWA3MDDJkcJMwbgkjeCWzoVqUPPQ+lmaSIAeMzSIPIgnUSR8KZ9oVpy/1XeifYs8tfoOP3Si7aWJdXe5hptqtBYC6XNAEkEtIzTmibjfF9VHTw+IcyKjqgdlpXa8DnXFQ2O6Z64Viav1XeifYstrmei70T7FTaUyerqWOKiFa3Qd25SsCt9V3gVEZp9N/d+almwWtTqc5/NN4PRMjXWy98t9V3on2KiWLrJ3klRcuY6LvRKGv9Rw+6fYoJUUPLfVd6JWeV+o4fdKolNyjZCi5Yj5LvRPsWRXMjmOPVlPsQV/lAIZS/jM9YUK97bqSylYiKrNQR8oLwss2WYiIs2YiIgIiICIiAiIgIiICIiAiIgIiICIiCLEfFv8Aslc15Rf4yp3eoLpcR8W/7JXN+UAHntSSQLaCToFpj6b8SsSFuNp4U/5tYH+E0+py9U8MA6BccSI/BXtG8x2jwuBL7mwVpQwNMCMgJ4m5WzhmQFtU2Lz5ZXKvXjhji1m7JY9pOQW6lX4rYwglliNxXQBxGijqtkJO8W4y+3FvYWkgiCNQtjDbRrUhFOoWjqhWe1MJmEjpD8epVFKkHG9RrPtZvyBW8ymU8vJlhca6Pyf2viK9V7KtTO3knO0AuCBuHWV1y4zydwrWV3ubXp1PgnCG5p1bxC7WP/F1jrXhnfbBKwiyu3J6lhZ33usCyDIKwsn9lJQAh9SXWIQRVOmz97ippUT+mz19xUpUGFnrCwhlBlYQhZj/AMVGJREQZ4hY7lm8rAHDTggipdN/d+allR0+m/u/NRYsVHOpimS0TLnWiBu03zPcosm0GHwdZjGw4Zy4uqHdczlFtJLo7holfC130qbHVMxg8odLmAYAboAXx1wsMw+KiTWbmA0BsZyAycvU+Otw4LwcDiAahZUaA8gkzcEAtno6w2mfSUaf7iVjMXDcz2Tzc0dgzHo6zm8RpF/Zp4nkmc9nK5pfI5pF7DvhZoU64fL3tLYMDrk620jL3gqFmCr0xlY9rRftMxEnLeBN+oTKqf8AAzD4lrnxUbDnTNpHSExHDk7cQdNVZKvp0cTbNVb8md+g50c3fdT4KlVYwitUzmZnd0RO4bwfFEyam3+jSPGsz+YKFS7fHMo/xWfzBRLPN5+QREWbMREQEREBERAREQEREBERAREQEREBERBFiPi3/ZK5/b+HccVUcGmLXjqC6DEfFv8Aslc/t/F1W4qo1r3AWsHGNAu8d68N+HX5aGHpHOJ3Kzw1O4K0MOSbuMz2qzwuql29uEWFGmtymxQ0nCFs0xKYyO9sOYvDmqdwi6iJOq1utDQxdOy5/E4YF/Sa0He6YnuBXS4kayqDGNv0S++gMH1FZTxfDnPzG75N4cMrvIq03/BOs3NOrb3AXakLivJxoGJf8E+n8C7pGd7eoLtlpj6eXL2zxXlFkMldOWQI3301WFkX1XkIAWTu61hZ4IMar07hP4rERdCPFERVBz2d/qKlH4KGp02/vcVNCKORrQTwSJSNyATO+VhZOttFhB6A47l5JWUDZQZaI3ryvXasIiGl03935rzjMOKwYOaWioCZ+qQYHeBPevdLpv7vzWnTwL22NaxcTlEgGSXOiDrN57tErufLw7Z1VzMmdohwcAJixzaccwF9Y7LyOwVaZ5c6nRxgAuaRAHU2O833rDdmVfpzltmy5gSczSSDmtPPH3upSMwlVpzcqXHnWcTBzREidAB+Peo63/KOtgqjqxqNqgQ6QLmBDLR913pFZbhK/N+GMWDrmTqXQYsZLe5sb0dgnl7qrKphzg8tbo4BsAAzbRtxw615bg6jmg+cOyxuJtcg3ngRfi2eIVXf8vdfC1eWc5tRrQ4zFwbNAH437z3TYCgW5s9TM4kSZNoaBFza4JjrWozBPgvfiA6aRYx5mAXhozDnXuO2+q90tmVGOtWIaXBxaJuBmga8C0deRRLrWtvG3zzKP8Vn8wUKm8oOhSjTlWesKFcZvNmIiLNmIiICIiAiIgIiICIiAiIg56htPEvEg0wL6tO6J0niPFR1dtYhji05JH1VT0dr5BDdOtoOsT6h4KOptEOcXGZPUAvT1j0dYvqm1cU0S4MGk2EiZiRMjQ6qL3dr/U9H9VUv2tmBB+VrDGAm83IEm91F58zgVOsOsXfu7X+p6P6p7u1/qej+qpPPmcCnnzOBTrDrF0/bdcgg5INuitTFYl1ao6o8AudraOpaHnzOBTz5nAq6iya9N/zl2UNhsDSyyzGVGmWmFX+fM4FPPmcCmo67ZfK4G16w3t9FDtitMggHqB9qp/PmcCnnzOBV8Harxu38QBEtPa1ZHlBiIjmej+qovPmcCnnzOBQ7ZfK5ftms7XL6K1K2Jc/pR3LR8+ZwKefM4FTUO2XyscFjH0Hl9OJLS24mxj2Kz99eL40/Q/Vc358zgU8+ZwKvhHSe+rF8afofqnvrxfGn6H6rm/PmcCnnzOBRHSe+vF8afofqse+rFf7fofquc8+ZwKefM4FB0nvrxf8At+h+qe+vF8afofqub8+ZwKefM4FB0fvqxX+36H6rJ8q8Xxp+h+q5vz5nAp58zgUHRHyoxUgzTtpzP1Xr314vjT9D9VzfnzOBTz5nAoOj99WL40/Q/VZHlXi+NP0P1XN+fM4FPPmcCg6P31YvjT9D9Vn314vjT9D9VzfnzOBTz5nAoOj99WL40/Q/VZ99eL40/Q/Vc358zgU8+ZwKDox5V4vjT9D9U99WL/2/Q/Vc558zgU8+ZwKDom+VGKBJmnfXmcO9QP29iXEkvEmdJETGl92W3aVSefM4FPPmcCir+p5R4pwaMzQGkEQCJjje6jp7exLf8yeblvJ77nXrVJ58zgU8+ZwKeDdXbNu4gGQ/eDF4tMWnS/4BextDFZD8IIydGTOXKDPDRodGupiCVQ+fM4FT+7PNy7ojotno5dfs2ngnhd1a0dr4hx6bcrDn53REERbgCGgKWrtrF06gcXgk87fGrhpugyItoFSYXa/Ivz0yQ6Iu0H8Cs4vbJrvz1CXOiJgC3d2p4TdXuJ2tia2Vr30ZbFQNDHA2GcXiNOtQM21iHGBkJ+z3neqkbYHzBmy5c0XjLl4xp1KFuPaDIzAjQhSyVLNrt23MQDByg8C1ehtnEkSA0j7P6qjftBrjJmbbhuEAeACN2iAIGaFOsTrF4dtYkCSGj7n6r3T2njHCW08wO8UyR4qgdtIHXMfBem7ULRDX1AOAJA9avXE6xfe6mJnLzOU+ZkM8Y7epZ8/x30Tv+JyofdYTN80Rnvm8Z169U913fSVfSPtTridYvvP8d9E7/icnn+O+id/xOVD7ru+kq+kfanuu76Sr6R9qdcTrF95/jvonf8TlH7rYrNkLQHROUsg6ToTwVL7ru+kq+kfavHukM2aX5uJ10jWeCdcTrHQHaOMBAysk6WB3E7j1HwKhdtvEAkHICLHm/qqh+1y6C5zzBkaWK8P2iHEl2Yk71OsOsdANo4zLmytiAZgaHTf+5XmrtXFM6QYLkaA3GosetUnuuYjM+IA7hoFiptTMIcXEDqCdYdYq0RFXQiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiIP/Z", 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In this interview, he talks about his process for making his animated math videos. Grant's channel is [3Blue1Brown](https://www.youtube.com/c/3blue1brown)." ] }, { "cell_type": "code", "execution_count": 6, "id": "37a34cbb-8005-4ac9-8528-b3ec040ea50b", "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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", 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Finding guides is another part of that. " ] }, { "cell_type": "code", "execution_count": 7, "id": "bf5d80b6-9c28-4a01-a70c-645961e1ca4b", "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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"text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "YouTubeVideo(\"HvMSRWTE2mI\")" ] }, { "cell_type": "markdown", "id": "ef37f3af-7cd8-401a-8225-2a5d12447511", "metadata": {}, "source": [ "This relatively recent discovery in Number Theory regarding primes and Pascal's Triangle does not provide a practical way to test for primehood, once the primes get big enough. [Numberphile](https://www.youtube.com/c/numberphile) introduces a wide range of topics." ] }, { "cell_type": "code", "execution_count": 8, "id": "d1d02280-2da1-4cad-89ae-3ffcfe703c88", "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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", "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "YouTubeVideo(\"BCQHnlnPusY\")" ] }, { "cell_type": "markdown", "id": "3c162f2f-4967-4ffa-9b33-ff5b3a9df70f", "metadata": {}, "source": [ "[Daniel Shiffmann](https://en.wikipedia.org/wiki/Daniel_Shiffman) is another prolific and top-ranking YouTube teacher. His channel, [The Coding Train](https://www.youtube.com/@TheCodingTrain/about), is cram-packed with interesting videos and playlists. In our curriculum, Git and Github skills are considered core." ] }, { "cell_type": "code", "execution_count": 9, "id": "1756dbb4-9280-4ae9-914b-ba194b4ee3de", "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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", 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When we scale all the edges of a tetrahedron (or any volume) by $\\phi$, the volume expands by a scale factor of $\\phi^{3}$." ] }, { "cell_type": "code", "execution_count": 10, "id": "09ad7477-2014-4741-9cab-82d8be861ca9", "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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"text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "YouTubeVideo(\"B1J6Ou4q8vE\")" ] }, { "cell_type": "markdown", "id": "909d2b37-6766-4353-9c33-ddf2e4514165", "metadata": {}, "source": [ "\"I like how the protagonist's growing exposure to maths endows her with\n", "increasing degrees of freedom in terms of powers. Familiarity with the\n", "generalized principles = better able to hold one's own.\"\n", "\n", "[From math4wisdom](https://www.freelists.org/post/math4wisdom/Order-Chaos-Everything-and-Our-Social-Hub,8)" ] }, { "cell_type": "code", "execution_count": 11, "id": "1612df06-3e87-4906-8939-3b3e97980a9e", "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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", "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "YouTubeVideo(\"ZHPJ_KIZ4vI\")" ] }, { "cell_type": "markdown", "id": "fda11105-9071-472a-9758-38fef4a50d78", "metadata": {}, "source": [ "An interesting way to cut across topics in ways that may inspire some programming experiments." ] }, { "cell_type": "markdown", "id": "283da46e-30bb-4f63-8990-0557769d25e1", "metadata": {}, "source": [ "Looking for more curated videos?\n", "\n", "Here's [another gallery](https://github.com/4dsolutions/elite_school/blob/master/YoutubeGallery.ipynb) in a neighboring Github repo, with some overlap." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", 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