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March 25, 2025 16:00
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How to test plots in modern Jupyther without installing anything or signing up for an account
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "id": "d2ec8fa0-27f4-402f-a7a2-e689f607e873", | |
| "metadata": {}, | |
| "source": [ | |
| "## Plotting example in modern Jupyter\n", | |
| "\n", | |
| "(In regards to https://stackoverflow.com/q/79533574/8508004 )\n", | |
| "\n", | |
| "You can run this from [JupyterLab 4.3 on Binder](https://gist.github.com/jtpio/f3f7aed7c87bb15e07009bb29a601ed8). \n", | |
| "Or [here](https://gist.github.com/fomightez/6773dedf6d5132795dd4245a18c066eb), if you'd like Python 3.12 at this time. \n", | |
| "\n", | |
| "From other one of those Launch that in your browser by hitting '`launch binder`'. \n", | |
| "When the session comes up, open a new notebook. \n", | |
| "If you choose the first as the launch resource, then furst run `%pip install numpy matplotlib` to install those two packages. Restart the kernel and run the plotting code below.\n", | |
| "\n", | |
| "You can skip the installation step if you used the second at this time. Runt the plotting code below.\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "id": "02afb1cd-5bf0-4278-b8e9-4bf915c651e2", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "%pip install numpy matplotlib # need if you use jtpio's as source launch at this time" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "id": "e523ac0a-83af-44ac-8f5b-030ef5c25124", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "import numpy as np\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "x = np.linspace(-10, 10, 100)\n", | |
| "y = np.sin(x)\n", | |
| "\n", | |
| "plt.plot(x, y, marker=\"x\");" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "id": "19349d3f-a165-4a56-b1e6-b2e431fee0df", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "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", | |
| "pygments_lexer": "ipython3", | |
| "version": "3.10.14" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 5 | |
| } |
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