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@vlad-ds
Created June 16, 2022 19:12
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knowledge_compound_growth.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "knowledge_compound_growth.ipynb",
"provenance": [],
"authorship_tag": "ABX9TyMDGh4L8pa3mdtIoEczpmp0",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/vlad-ds/8a4ad73c268b4dffaafe0ddcc9714356/knowledge_compound_growth.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"source": [
"# Simulating knowledge growth from reading vs. listening. "
],
"metadata": {
"id": "ujKcGJuCVRKW"
}
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"id": "mIayh7OhSNe3"
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np"
]
},
{
"cell_type": "markdown",
"source": [
"$$K_{t_n} = L + \\sum_{i=1}^{n-1}K_{t_i}*r$$"
],
"metadata": {
"id": "igAC7uCe0AFf"
}
},
{
"cell_type": "code",
"source": [
"def grow(constant, rate=0, iteration=10_000):\n",
" l = []\n",
" for _ in range(iteration):\n",
" val = constant + sum(l) * rate\n",
" l.append(val)\n",
" return l"
],
"metadata": {
"id": "N9oYBZIKRxkY"
},
"execution_count": 11,
"outputs": []
},
{
"cell_type": "code",
"source": [
"listen = grow(150)\n",
"read = grow(250)\n",
"\n",
"plt.plot(np.cumsum(listen), label=\"listening\")\n",
"plt.plot(np.cumsum(read), label=\"reading\")\n",
"\n",
"plt.xlabel(\"time\")\n",
"plt.ylabel(\"knowledge\")\n",
"plt.legend();\n",
"\n",
"print(sum(read) - sum(listen))"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 307
},
"id": "_ja32E5pSOrs",
"outputId": "6c1683af-7d79-4110-b8c8-fee1ac7284fc"
},
"execution_count": 14,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"1000000\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
"listen = grow(150, 0.001, 7000)\n",
"read = grow(250, 0.001, 7000)\n",
"\n",
"plt.plot(np.cumsum(listen), label=\"listening\")\n",
"plt.plot(np.cumsum(read), label=\"reading\")\n",
"\n",
"plt.xlabel(\"time\")\n",
"plt.ylabel(\"knowledge\")\n",
"plt.legend();\n",
"\n",
"print(sum(read) - sum(listen))"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 307
},
"id": "HpJtwxkISCAC",
"outputId": "cd68a7a2-1675-44e3-cfd3-83ac3ed14d42"
},
"execution_count": 15,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"109180419.93851784\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
""
],
"metadata": {
"id": "r6rulJ_9zwpE"
},
"execution_count": 13,
"outputs": []
}
]
}
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