diff --git a/.gitignore b/.gitignore index 375f4dc..eb99377 100644 --- a/.gitignore +++ b/.gitignore @@ -130,6 +130,7 @@ dmypy.json # Jupyter Book _build/ +_contents/ # Jupyterlite _output/ \ No newline at end of file diff --git a/.jupyterlite.doit.db b/.jupyterlite.doit.db deleted file mode 100644 index d60e365..0000000 Binary files a/.jupyterlite.doit.db and /dev/null differ diff --git a/book/_contents/interactive-wave.ipynb b/book/_contents/interactive-wave.ipynb deleted file mode 100644 index c3be4a8..0000000 --- a/book/_contents/interactive-wave.ipynb +++ /dev/null @@ -1,91 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "%gui asyncio\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "from ipywidgets import interact" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "4570ae9da644449a87c3fea9c4d7f919", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "interactive(children=(FloatSlider(value=3.0, description='omega', max=5.0, min=1.0), Output()), _dom_classes=(…" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "x = np.linspace(0, 2*np.pi, 100)\n", - "fig, ax = plt.subplots()\n", - "line, = ax.plot(x, np.sin(x))\n", - "\n", - "def plot_sine_wave(omega):\n", - " y = np.sin(omega*x)\n", - " line.set_ydata(y)\n", - " fig.canvas.draw_idle()\n", - "\n", - "interact(plot_sine_wave, omega=(1, 5, 0.1))" - ] - } - ], - "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": "3.9.13" - }, - "orig_nbformat": 4 - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/book/_contents/wave.ipynb b/book/_contents/wave.ipynb deleted file mode 100644 index 4ec2b57..0000000 --- a/book/_contents/wave.ipynb +++ /dev/null @@ -1,108 +0,0 @@ -{ - "cells": [ - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Sine wave" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Packages" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Coordinates" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "x = np.linspace(0, 2*np.pi, 100)\n", - "y = np.sin(x)" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Plotting" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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