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Last active February 1, 2022 21:38
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pokles_funkce.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "pokles_funkce.ipynb",
"provenance": [],
"collapsed_sections": [],
"authorship_tag": "ABX9TyPflFUTtOlEItBH1aziASGh",
"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/robert-marik/fbdb71509f336d0c6b0162aa80a4f0f8/untitled12.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"source": [
"Pro interaktivní práci otevřít v Google Colab kliknutím na odkaz \"Open in Colab\". Poté spustit šedé pole s příkazem (kliknout do pole, případně poeditovat a buď shift+Enter nebo kliknout na šipku, co se objeví v levém horním rohu pole)."
],
"metadata": {
"id": "7ESGW3H2JaJU"
}
},
{
"cell_type": "markdown",
"source": [
"* $f(0)=8$\n",
"* $f(x)$ klesá\n",
"* není inflexní bod, funkce klesá\n",
"* $\\lim_{x\\to \\infty}f(x)=0$"
],
"metadata": {
"id": "ijxJw_rJFlJ6"
}
},
{
"cell_type": "code",
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np"
],
"metadata": {
"id": "7ofJowPNGMFY"
},
"execution_count": 4,
"outputs": []
},
{
"cell_type": "markdown",
"source": [
"# Exponenciální pokles\n",
"\n",
"$$f(x)=8 e^{-kx}$$\n",
"\n",
"Pro vetší $k$ funkce klesá rychleji. (Ve skutečnosti jde pro různé $k$ o stejnou křivku, jenom se natahuje nebo smršťuje v ose $x$.) Pro konstnatní skoky ve vodorovné ose jsou svislé skoky geometrickou řadou, například při posunu doprava o jednotku klesneme vždy na polovinu. Je to asi nejrychleji klesající funkce. Určitě nejrychleji klesá, pokud se díváme mezi nejobvyklejší funkce. Nepříklad převrácená hodnota faktoriálu (resp. pro reálná čísla gamma funkce) by dala rychlejší pokles, ale v modelech v biologických vědách jsem to neviděl použít."
],
"metadata": {
"id": "FbGwhTZ7F8lw"
}
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 338
},
"id": "YDiuhfafFkRZ",
"outputId": "de2be84d-5b13-4c9c-b515-9739248275f0"
},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f3cb7c30990>"
]
},
"metadata": {},
"execution_count": 5
},
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 1080x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
],
"source": [
"fig,ax = plt.subplots(1,1,figsize=(15,5))\n",
"x = np.linspace(0,5,100)\n",
"for k in range(1,5):\n",
" plt.plot(x,8*np.exp(-k*x), label=\"k=%s\"%k)\n",
"\n",
"plt.legend() "
]
},
{
"cell_type": "markdown",
"source": [
"# Mocninný pokles\n",
"\n",
"$$f(x)=\\frac{8}{(x+1)^n} $$\n",
"\n",
"Pokles je pomalejší než exponenciální pokles. Proto kreslíme na delším intervalu. Takto klesají třeba fyzikální pole (s druhou mocninou, Newtonův zákon apod.)"
],
"metadata": {
"id": "WyGl0ca5G4Sq"
}
},
{
"cell_type": "code",
"source": [
"fig,ax = plt.subplots(1,1,figsize=(15,5))\n",
"x = np.linspace(0,10,100)\n",
"for n in [0.5,1,1.5,2,3,4]:\n",
" plt.plot(x,8/((x+1))**n, label=\"n=%s\"%n)\n",
"\n",
"\n",
"plt.legend() "
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 338
},
"id": "UPb9oOg1GdDR",
"outputId": "b90eb36e-ca2b-443a-fa8f-22fab09893b8"
},
"execution_count": 6,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f3cb192f3d0>"
]
},
"metadata": {},
"execution_count": 6
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"source": [
"\n",
"Pokud si vybereme vhodnou mocninu, je možné vodorovně natahovat nebo smršťovat tak, že se násobí hodnota $x$ vhodnou konstantou.\n",
"$$f(x)=\\frac{8}{(kx+1)^2} $$"
],
"metadata": {
"id": "6lDk2-qYNOpV"
}
},
{
"cell_type": "code",
"source": [
"fig,ax = plt.subplots(1,1,figsize=(15,5))\n",
"x = np.linspace(0,10,100)\n",
"for k in [0.5,1,1.5,2,3,4]:\n",
" plt.plot(x,8/((k*x+1))**2, label=\"k=%s\"%k)\n",
"\n",
"plt.legend() "
],
"metadata": {
"id": "SwQOCQ_tNPKJ",
"outputId": "11a2d2fe-6484-4c3f-a305-9315f97a5efd",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 338
}
},
"execution_count": 9,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f3cb1177810>"
]
},
"metadata": {},
"execution_count": 9
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"source": [
"# Logaritmický pokles\n",
"\n",
"$$f(x)=\\frac{8}{\\ln^n(x+e)}$$\n",
"\n",
"Ještě pomalejší než mocninný pokles. Proto kreslíme na delším intervalu. Ještě by se dal zpomalit vnořením logaritmů do sebe, ale to by zase už bylo překombinované."
],
"metadata": {
"id": "4GlB3dgXIhjh"
}
},
{
"cell_type": "code",
"source": [
"fig,ax = plt.subplots(1,1,figsize=(15,5))\n",
"x = np.linspace(0,50,100)\n",
"for n in [0.5,1,1.5,2,3,4]:\n",
" plt.plot(x,8/(np.log(x+np.exp(1)))**n, label=\"n=%s\"%n)\n",
"\n",
"plt.legend() "
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 338
},
"id": "N6hd3oITHzfJ",
"outputId": "ffcdcc23-b59a-4e71-c2f1-d7a82f04c501"
},
"execution_count": 7,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f3cb19129d0>"
]
},
"metadata": {},
"execution_count": 7
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"source": [
"I tady můžu rychlost regulovat násobením veličiny $x$ konstantou.\n",
"$$f(x)=\\frac{8}{\\ln(kx+e)}$$"
],
"metadata": {
"id": "kEslyfI3OCQt"
}
},
{
"cell_type": "code",
"source": [
"fig,ax = plt.subplots(1,1,figsize=(15,5))\n",
"x = np.linspace(0,50,100)\n",
"for k in [0.5,1,1.5,2,3,4]:\n",
" plt.plot(x,8/(np.log(k*x+np.exp(1))), label=\"k=%s\"%k)\n",
"\n",
"plt.legend() "
],
"metadata": {
"id": "1mITCe8nI3ET",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 338
},
"outputId": "73251330-aa37-4d8b-bef7-f696d17a3220"
},
"execution_count": 10,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f3cb10a7f10>"
]
},
"metadata": {},
"execution_count": 10
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
""
],
"metadata": {
"id": "u_t69ZVkN6I-"
},
"execution_count": null,
"outputs": []
}
]
}
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