1067 lines
20 KiB
Plaintext
1067 lines
20 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### A [math](https://docs.python.org/3/library/math.html) modul\n",
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"- Alapvető matematikai függvényeket tartalmaz.\n",
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"- Jótanács: Egy NumPy (lásd később) alapú kódban ne a math modul függvényeit használjuk, hanem a NumPy beépített függvényeit!"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"# A math modul importálása.\n",
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"import math"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"2.718281828459045"
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]
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},
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"execution_count": 2,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"# Exponenciális függvény.\n",
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"math.exp(1)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"2.302585092994046"
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]
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},
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"execution_count": 3,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"# Természetes alapú logaritmus.\n",
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"math.log(10)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"3.0"
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]
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},
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"execution_count": 4,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"# Adott alapú (most 2-es) logaritmus.\n",
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"math.log(8, 2)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"0.0"
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]
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},
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"execution_count": 5,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"# Trigonometrikus függvények és inverzeik (a szöget radiánban adjuk meg).\n",
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"math.sin(0)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"1.0"
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]
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},
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"execution_count": 6,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"math.cos(0)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"0.0"
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]
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},
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"execution_count": 7,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"math.asin(0)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"0.0"
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]
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},
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"execution_count": 8,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"math.acos(1)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 9,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"3.141592653589793"
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]
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},
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"execution_count": 9,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"# Fok => radián átváltás.\n",
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"math.radians(180)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"179.99469134034814"
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]
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},
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"execution_count": 10,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"# Radián => fok átváltás.\n",
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"math.degrees(3.1415)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 11,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"0.9999999999999999"
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]
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},
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"execution_count": 11,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"math.tan(math.radians(45))"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 12,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"3.141592653589793"
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]
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},
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"execution_count": 12,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"# pi\n",
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"math.pi"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 13,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"2.718281828459045"
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]
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},
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"execution_count": 13,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"# e\n",
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"math.e"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### [Sztring](https://docs.python.org/3/library/stdtypes.html#text-sequence-type-str)\n",
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"\n",
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"- A sztring adattípus szöveges értékek tárolására szolgál.\n",
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"- Python-ban a sztring nem más mint [Unicode](https://hu.wikipedia.org/wiki/Unicode) szimbólumok (másnéven Unicode karakterek) nem módosítható sorozata."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 14,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"'alma'"
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]
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},
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"execution_count": 14,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"# A sztringállandót ' jelekkel határoljuk.\n",
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"'alma'"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 15,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"'körte'"
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]
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},
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"execution_count": 15,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"# ...de lehet használni \" jeleket is.\n",
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"\"körte\""
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]
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},
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{
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"cell_type": "code",
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"execution_count": 16,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"alma\n"
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]
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}
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],
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"source": [
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"# Az előző cellák kimenetében a ' nem a sztring része, csak az adattípust jelzi.\n",
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"# Írjuk ki a sztring tartalmát, határoló jelek nélkül!\n",
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"print('alma')"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 17,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"str"
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]
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},
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"execution_count": 17,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"# A type függvény most is működik.\n",
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"type('alma')"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 18,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"'I ♥ ♬'"
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]
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},
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"execution_count": 18,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"# A sztringben természetesen használhatunk Unicode szimbólumokat.\n",
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"'I ♥ ♬'"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 19,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"foo\"bar\n",
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"foo'bar\n"
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]
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}
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],
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"source": [
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"# A kétféle határoló értelme:\n",
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"print('foo\"bar')\n",
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"print(\"foo'bar\")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 20,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"foo'bar\n",
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"foo\"bar\n"
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]
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}
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],
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"source": [
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"# ...egyébként le kéne védeni az ' ill. \" karaktert.\n",
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"print('foo\\'bar')\n",
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"print(\"foo\\\"bar\")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 21,
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"metadata": {},
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"outputs": [],
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"source": [
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"# Hozzunk létre egy s nevű sztringváltozót!\n",
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"s = 'sör'"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 22,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"'s'"
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]
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},
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"execution_count": 22,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"# s karaktereinek kinyerése. Az indexelés 0-tól indul!\n",
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"s[0]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 23,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"'ö'"
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]
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},
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"execution_count": 23,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"s[1]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 24,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"'r'"
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]
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},
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"execution_count": 24,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"s[2]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 25,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"str"
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]
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},
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"execution_count": 25,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
|
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"source": [
|
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"# A kinyert karaktert egy 1 hosszú sztring formájában kapjuk vissza.\n",
|
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"type(s[0])"
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]
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},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 26,
|
|
"metadata": {},
|
|
"outputs": [
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{
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"ename": "IndexError",
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"evalue": "string index out of range",
|
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"output_type": "error",
|
|
"traceback": [
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"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
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"\u001b[1;31mIndexError\u001b[0m Traceback (most recent call last)",
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"Cell \u001b[1;32mIn[26], line 2\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[38;5;66;03m# Túlindexelés esetén hibaüzenetet kapunk.\u001b[39;00m\n\u001b[1;32m----> 2\u001b[0m s[\u001b[38;5;241m3\u001b[39m]\n",
|
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"\u001b[1;31mIndexError\u001b[0m: string index out of range"
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]
|
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}
|
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],
|
|
"source": [
|
|
"# Túlindexelés esetén hibaüzenetet kapunk.\n",
|
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"s[3]"
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]
|
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},
|
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{
|
|
"cell_type": "code",
|
|
"execution_count": 27,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"ename": "TypeError",
|
|
"evalue": "'str' object does not support item assignment",
|
|
"output_type": "error",
|
|
"traceback": [
|
|
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
|
|
"\u001b[1;31mTypeError\u001b[0m Traceback (most recent call last)",
|
|
"Cell \u001b[1;32mIn[27], line 3\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[38;5;66;03m# A sztring karaktereit nem lehet módosítani!\u001b[39;00m\n\u001b[0;32m 2\u001b[0m \u001b[38;5;66;03m# (Majd később meglátjuk, hogy miért.)\u001b[39;00m\n\u001b[1;32m----> 3\u001b[0m s[\u001b[38;5;241m0\u001b[39m] \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mb\u001b[39m\u001b[38;5;124m'\u001b[39m\n",
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"\u001b[1;31mTypeError\u001b[0m: 'str' object does not support item assignment"
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]
|
|
}
|
|
],
|
|
"source": [
|
|
"# A sztring karaktereit nem lehet módosítani!\n",
|
|
"# (Majd később meglátjuk, hogy miért.)\n",
|
|
"s[0] = 'b'"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 28,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# Természetesen s-nek adhatunk új értéket.\n",
|
|
"s = 'xör'"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Megjegyzés: Az értékadás megtörténik, de magának az értékadó kifejezésnek nincs eredménye. Emiatt a cellának nincsen kimenete."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 29,
|
|
"metadata": {},
|
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"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"xör\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"# Írjuk ki s tartalmát!\n",
|
|
"print(s)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 30,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"5"
|
|
]
|
|
},
|
|
"execution_count": 30,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# A sztring hossza (Unicode szimbólumok száma):\n",
|
|
"len('Béla♥')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 31,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"'sörbor'"
|
|
]
|
|
},
|
|
"execution_count": 31,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Sztringek összefűzése.\n",
|
|
"'sör' + 'bor'"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 32,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"True"
|
|
]
|
|
},
|
|
"execution_count": 32,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Tartalmazásvizsgálat.\n",
|
|
"'ka' in 'abrakadabra'"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 33,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"False"
|
|
]
|
|
},
|
|
"execution_count": 33,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"'xyz' in 'abrakadabra'"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 34,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"b'B\\xc3\\xa9la\\xe2\\x99\\xa5'"
|
|
]
|
|
},
|
|
"execution_count": 34,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Sztringből a kódolás műveletével képezhetünk bájtsorozatot.\n",
|
|
"'Béla♥'.encode('utf-8')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 35,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"bytes"
|
|
]
|
|
},
|
|
"execution_count": 35,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Az eredmény típusa.\n",
|
|
"type('Béla♥'.encode('utf-8'))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 36,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"8"
|
|
]
|
|
},
|
|
"execution_count": 36,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# A bájtok száma nagyobb lehet, mint a Unicode szimbólumok száma!\n",
|
|
"len('Béla♥'.encode('utf-8'))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 37,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"2\n",
|
|
"2\n",
|
|
"2\n",
|
|
"2\n",
|
|
"2\n",
|
|
"2\n",
|
|
"2\n",
|
|
"2\n",
|
|
"2\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"# Hány bájton tárolódnak a magyar ábécé ékezetes kisbetűi UTF-8 kódolás esetén?\n",
|
|
"print(len('á'.encode('utf-8')))\n",
|
|
"print(len('é'.encode('utf-8')))\n",
|
|
"print(len('í'.encode('utf-8')))\n",
|
|
"print(len('ó'.encode('utf-8')))\n",
|
|
"print(len('ö'.encode('utf-8')))\n",
|
|
"print(len('ő'.encode('utf-8')))\n",
|
|
"print(len('ú'.encode('utf-8')))\n",
|
|
"print(len('ü'.encode('utf-8')))\n",
|
|
"print(len('ű'.encode('utf-8')))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"🤔🤔🤔 A fenti kód tele van ismétléssel. Gyakorlaton feladat lesz ezt rövidebben megoldani!"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 38,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"3\n",
|
|
"3\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"# Hány bájton tárolódik a ♥ és a ♬ szimbólum?\n",
|
|
"print(len('♥'.encode('utf-8')))\n",
|
|
"print(len('♬'.encode('utf-8')))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 39,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"'Béla♥'"
|
|
]
|
|
},
|
|
"execution_count": 39,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Bájtsorozatból a dekódolás műveletével képezhetünk sztringet.\n",
|
|
"b'B\\xc3\\xa9la\\xe2\\x99\\xa5'.decode('utf-8')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 40,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"''"
|
|
]
|
|
},
|
|
"execution_count": 40,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Üres sztring létrehozása.\n",
|
|
"''"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 41,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"0"
|
|
]
|
|
},
|
|
"execution_count": 41,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"len('')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 42,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"'valami'"
|
|
]
|
|
},
|
|
"execution_count": 42,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Fehér karakterek (szóköz, tabulátor, sortörés) eltávolítása a sztring elejéről és végéről.\n",
|
|
"' valami\\t\\n'.strip()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 43,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"'valami'"
|
|
]
|
|
},
|
|
"execution_count": 43,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Megadott karakterek eltávolítása a sztring elejéről és végéről.\n",
|
|
"'++++valami---++----'.strip('+-')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 44,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"'álmos'"
|
|
]
|
|
},
|
|
"execution_count": 44,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Kisbetűssé alakítás.\n",
|
|
"'Álmos'.lower()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 45,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"'KUTYA13'"
|
|
]
|
|
},
|
|
"execution_count": 45,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Nagybetűssé alakítás.\n",
|
|
"'kutya13'.upper()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 46,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"'hahaha'"
|
|
]
|
|
},
|
|
"execution_count": 46,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Sztring ismétlése.\n",
|
|
"'ha' * 3"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 47,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"a\n",
|
|
"l\n",
|
|
"m\n",
|
|
"a\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"# Iterálás egy sztring karakterein.\n",
|
|
"s = 'alma'\n",
|
|
"for c in s:\n",
|
|
" print(c)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 48,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"a\n",
|
|
"l\n",
|
|
"m\n",
|
|
"a\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"# Iterálás egy sztring karakterein index segítségével.\n",
|
|
"s = 'alma'\n",
|
|
"for i in range(len(s)):\n",
|
|
" print(s[i])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 49,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# A random modul importálása\n",
|
|
"import random"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 50,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"2\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"# A random modul randint függvényének használata\n",
|
|
"# Egy véletlen 5-ös lottószám generálása\n",
|
|
"print(random.randint(1, 90))"
|
|
]
|
|
}
|
|
],
|
|
"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": "3.11.3"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|