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@sirex
Created August 26, 2021 10:35
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{
"cells": [
{
"cell_type": "code",
"execution_count": 12,
"id": "0722e820-0e20-47a6-aea9-8f577c265895",
"metadata": {
"collapsed": true,
"jupyter": {
"outputs_hidden": true,
"source_hidden": true
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"IPython console for SymPy 1.8 (Python 3.9.6-64-bit) (ground types: python)\n",
"\n",
"These commands were executed:\n",
">>> from __future__ import division\n",
">>> from sympy import *\n",
">>> x, y, z, t = symbols('x y z t')\n",
">>> k, m, n = symbols('k m n', integer=True)\n",
">>> f, g, h = symbols('f g h', cls=Function)\n",
">>> init_printing()\n",
"\n",
"Documentation can be found at https://docs.sympy.org/1.8/\n",
"\n"
]
}
],
"source": [
"import sympy\n",
"import pandas as pd\n",
"sympy.init_session()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "a6fc4d23-bd9a-4086-a40b-597fcc7603ea",
"metadata": {
"jupyter": {
"source_hidden": true
},
"tags": []
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"attachments": {
"63657c23-0bb1-4f52-a5c9-e2ae44937c85.png": {
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UVEROTi45Obl37L9+EH/up9br9Vy/XtpH38DV9Y7rOjmW9pnfvJlZob5rlYyQr4yNra3y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\nIiIiYrj/D800+994Ad6RAAAAAElFTkSuQmCC\n"
}
},
"cell_type": "markdown",
"id": "1bfe0759-ced7-48e7-88b8-fc00a73cf218",
"metadata": {},
"source": [
"# Jupyter Lab - interaktyvi mokymo priemonė\n",
"\n",
"Jupyter tapo *de facto* standartu [dirbant su duomenimis](https://www.jetbrains.com/lp/devecosystem-2021/big-data/#Bigdata_which-big-data-tools-do-you-use).\n",
"\n",
"![jetbrains-survey-big-data-tools.png](attachment:63657c23-0bb1-4f52-a5c9-e2ae44937c85.png)\n",
"\n",
"Tačiau Jupyter yra labai populiarus ir akademijoje, dėl galimybės tekstą paversti interaktyvia programavimo aplinka.\n",
"\n",
"Jupyter galėtu būti naudojamas mokant šiuos dalykus matematiką, programavimą ir duomenų raštingumą.\n",
"\n",
"# Matematikos mokymas\n",
"\n",
"Mokant matematikos, Jupyter aplinka gali būti naudojama kaip paprastas skaičiuotuvas, pavyzdžiui:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "e0b88574-fda9-4dff-b2c0-22f805d64878",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAA4AAAASCAYAAABrXO8xAAAAyklEQVR4nL3SMWpCQRDG8Z/B0ivYBiyTxsbKc9gEUnuAQJItbQQDFoEoEr2JCDlDUqZPl2CstHj7yKI89Qnmgy12d/7zzexOJYTgFF0cuO9gHdftsWAdQ3yXcaxggi88lwG7aOMGP8eCDfTwhHlB4h2wihk+cVcE5YGpHnCFFpb7wNSxGV36eNsHpWAVU3zg/hCUgjVcyh7m19+nr/EYY17ifpA7wQrjguTXsr4XeM/byMGlrZFKFCL4itF2qaV1VjDIZneUHv5/qRu2oCPfAqwKjwAAAABJRU5ErkJggg==\n",
"text/latex": [
"$\\displaystyle 4$"
],
"text/plain": [
"4"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"2 + 2"
]
},
{
"cell_type": "markdown",
"id": "79c08a6b-c957-4783-8d70-aa3b2ae203ef",
"metadata": {},
"source": [
"Tačiau galima atlikti ir sudėtingesnius skaičiavimus, pavyzdžiui:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "fc2d16b6-e94c-4011-b181-bbe790d453f8",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/latex": [
"$\\displaystyle \\left[ - \\sqrt{2}, \\ \\sqrt{2}\\right]$"
],
"text/plain": [
"[-√2, √2]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"solve(x**2 - 2, x)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "69c379ee-2342-4707-a78d-c7241808bac1",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAA0AAAASCAYAAACAa1QyAAAAh0lEQVR4nO3RIQ7CYAwF4G8EPY0kCIIbllsg8NNIkknEfwcugOAeCE5CgkQR/GZ+1WTLMFM0eWlf05fXtEVKya8xC/yACx74oMUtiuaBn1Hhixc2Y5xOWKPEsW+96HTvGxxyGhV/0eSi+Nx9Bixy3uGa6zeaKNqiDr1VBjzRxPUSigEsmfIQHbJ7ECMDdcssAAAAAElFTkSuQmCC\n",
"text/latex": [
"$\\displaystyle 1$"
],
"text/plain": [
"1"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"limit(sin(x)/x, x, 0)"
]
},
{
"cell_type": "markdown",
"id": "01161c41-db27-41aa-823e-b685c041a82c",
"metadata": {},
"source": [
"Taip pat galima atvaizduoti matematinių funkcijų grafikus."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "d06c9863-b1ee-49f9-8f9b-5be5fa1a0c91",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot(sin(x));"
]
},
{
"attachments": {
"b0b99c08-e52e-4200-8372-52dd1f929f16.png": {
"image/png": 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CkGjI0GGsWrUGW1tbDh/aZ7FOoufn50dYmDkfZ8TeCTdv3aJqVfMwka5dOjNg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}
},
"cell_type": "markdown",
"id": "a449fa8f-9567-4fee-94e6-46536ede3c1b",
"metadata": {},
"source": [
"# Programavimo mokymas\n",
"\n",
"Jupyter yra suderinamas su [daugeliu programavimo kalbų](https://github.com/jupyter/jupyter/wiki/Jupyter-kernels), tačiau dažniausiai naudojamas su Python. Python yra viena populiariausių programavimo kalbų, įvairiuose reitinguose patenkainti į populiariausių programavimo kalbų trejetųką, tačiau taip pat Python yra [viena iš populiariausių programavimų](https://www.jetbrains.com/lp/devecosystem-2021/education/#Education_what-programming-languages-have-you-started-learning-continued-to-learn-in-the-last-12-months-if-any), tarp žmonių, kurie pradeda mokytis programavimo.\n",
"\n",
"![jetbrains-survey-education.png](attachment:b0b99c08-e52e-4200-8372-52dd1f929f16.png)\n",
"\n",
"Lyginant Python su C++, Python yra paprastesnė ir lengviau išmokstama programavimo kalba, tuo tarpu C++ yra viena sudėtingesnių programavimo kalbu, todėl mokant programavimo su C++ galima nesunkiai atmušti norą mokytis programavimo visai.\n",
"\n",
"Mokantis programavimo su Python padeda ir tai, kad Python yra interpretuojama programavimo kalba, tai reiškia, kad nereikalingas programos kompiliavimo žingsnis.\n",
"\n",
"Kaip pavyzdį pateikiu [2017 metų brandos egzamino užduotį](https://github.com/python-dirbtuves/it-brandos-egzaminai/tree/master/exams/E2017/pagrindinis/u1).\n",
"\n",
"## Šešioliktainiai skaičia\n",
"\n",
"Vincas turi tekstinį failą su piešinio duomenimis. Piešinys sudarytas iš langelių. Šių langelių spalvas nusako trys sveikieji skaičiai nuo 0 iki 255 (RGB komponentės).\n",
"\n",
"Vincui reikia paversti pradinius dešimtainius skaičius į šešioliktainį kodą ir rezultatą įrašyti į tekstinį failą. Pavyzdžiui, geltonos spalvos langelio, kurio RGB komponentės yra 255, 221 ir 0, spalvos šešioliktainis kodas bus `FFDD00` (dešimtainis skaičius 255 atitinka šešioliktainį `FF`, 221 atitinka `DD` ir 0 atitinka `00`).\n",
"\n",
"Dešimtainis skaičius (nuo 0 iki 255) konvertuojamas į šešioliktainį skaičių taip: šešioliktainio skaičiaus pirmasis skaitmuo yra **sveikoji dalis**, dešimtainį skaičių dalijant iš 16, o antrasis šešioliktainio skaičiaus skaitmuo yra dešimtainio skaičiaus dalybos iš 16 **liekana**. Šešioliktainiai skaitmenys nuo 10 iki 15 koduojami atitinkamai raidėmis nuo `A` iki `F`. Jei pirmasis skaitmuo gaunamas nulis, jis irgi yra rašomas.\n",
"\n",
"**Parašykite programą**, kuri spalvų dešimtaines RGB komponentes įrašytų į naują failą šešioliktainiais kodais.\n",
"\n",
"### Pradiniai duomenys\n",
"\n",
"Duomenys pateikiami tekstiniame faile `U1.txt`.\n",
"\n",
"Duomenų faile įrašyta:\n",
"\n",
"- pirmoje eilutėje – piešinio ilgis $a (1 \\leq a \\leq 10000)$ ir plotis $b (1\\leq b \\leq 10000)$;\n",
"\n",
"- kitose $a * b$ eilutėse, einant per piešinio langelius iš kairės į dešinę ir iš viršaus į apačią, – po 3 skaičius, nusakančius langelio RGB komponentes.\n",
"\n",
"### Rezultatai\n",
"\n",
"Rezultatus įrašykite tekstiniame faile `U1rez.txt`.\n",
"\n",
"Rezultatų failą sudaro `a` eilučių ir `b` stulpelių (atskirtų kabliataškiais). Spalvų kodai įrašomi tokia pačia tvarka kaip ir pradiniame faile.\n",
"\n",
"Kiekvienoje eilutėje turi būti `b` spalvų šešioliktainių kodų (sujungiami trys šešioliktainiai dviženkliai skaičiai be tarpų), atskirtų kabliataškiais `;` (po paskutinio kodo kabliataškis nededamas).\n",
"\n",
"Šaltinis: http://nec.lt/failai/6996_IT-VBE-1_2017-GALUTINE.pdf"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "4b34ce85-80ca-4b1c-87f3-086c51643f6a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"008000;FF0000;FFFFFF\n",
"FFFF00;FF0000;FFFF00\n"
]
}
],
"source": [
"def format_color(f):\n",
" color = map(int, next(f).split())\n",
" color = map('{:02X}'.format, color)\n",
" return ''.join(color)\n",
" \n",
"with open('U1.txt') as f:\n",
" h, w = map(int, next(f).split())\n",
" for _ in range(h):\n",
" line = [format_color(f) for _ in range(w)]\n",
" print(*line, sep=';')"
]
},
{
"cell_type": "markdown",
"id": "f5875328-ef9a-4598-ab03-f76da9135aca",
"metadata": {},
"source": [
"# Duomenų raštingumo mokymas\n",
"\n",
"Praktiškai visose srityse susijusiose su duomenų mokslu [Python programavimo kalba yra naudojama dažniausiai](https://www.jetbrains.com/lp/devecosystem-2021/big-data/).\n",
"\n",
"Todėl apjungus Python programavimo pamokas, su matematikos pamokomis, kuriose taip pat naudojamas Python, galima nesunkiai pereiti prie duomenų mokslo.\n",
"\n",
"Mokant duomenų raštingumo, pirmiausiai reikia duomenų. Šiuo metu Lietuvoje vyksta aktyvus visuotinis duomenų atvėrimas, todėl [Atvirų duomenų portale](https://data.gov.lt/) galima rasti įdomių ir realaus pasaulio duomenų rinkinių.\n",
"\n",
"Kaip pavyzdį galime panagrinėti [COVID-19 duomenis](https://data.gov.lt/dataset/agreguoti-covid-19-atvejai-ir-mirtys)."
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "52a10de5-43aa-4df7-bd39-d369ccfd7d27",
"metadata": {},
"outputs": [],
"source": [
"df = pd.read_csv('https://get.data.gov.lt/datasets/gov/lsd/covid-19/svieslenciu_statistika/SvieslenciuStatistika/:format/csv')"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "128aa321-ce04-4431-a572-6de434264dc5",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1152x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df.groupby('date').agg(atvejai=('incidence', sum), mirtys=('daily_deaths_all', sum)).cumsum().plot(figsize=(16, 10), grid=True);"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "9dabc558-004b-4daf-961c-81deac663ab4",
"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": "3.9.6"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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