python_exercises.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "06976e2f-d052-4545-874a-1dd2fe1b6610",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# 01\n",
    "%reset -f\n",
    "\n",
    "print('a')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fefbb4ee-9284-4ba8-896e-9ea468703a51",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 02\n",
    "%reset -f\n",
    "\n",
    "print(a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2701e5c7-31df-465c-974d-502c2b064c49",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 03\n",
    "%reset -f\n",
    "\n",
    "a = 'a'\n",
    "print(a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2387f101-d001-4735-b78e-093fdd41c8ca",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 04\n",
    "%reset -f\n",
    "\n",
    "print('Hello, World!')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8b548ba2-05ff-482e-ae8f-7966c1c561e0",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 05\n",
    "%reset -f\n",
    "\n",
    "print('Hello', end=', ')\n",
    "print('World!')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "633efa7f-a08b-437c-be24-eefd2def6510",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 06\n",
    "%reset -f\n",
    "\n",
    "print('Hello', 'world', sep=', ', end='!')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "56a5f26d-b49f-45bd-83de-7f83794cb528",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 07\n",
    "%reset -f\n",
    "\n",
    "print('a', 'b', 'c', 'd', 'e')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ad31eb7d-c11f-4294-b4e8-6d4961266000",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 08\n",
    "%reset -f\n",
    "\n",
    "print('a', 'b', 'c', 'd', 'e', sep='')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7bd41823-606d-49ba-a366-eb9cc5f9c6e4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 09\n",
    "%reset -f\n",
    "\n",
    "print('a', 'b', 'c', 'd', 'e', sep=';')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "258aa2f7-44f4-4109-8a98-5c5acfa4d739",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 10\n",
    "%reset -f\n",
    "\n",
    "print('a', 'b', 'c', 'd', 'e', sep='\\n')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "863f48a3-6c6a-4aee-870f-3a5a59420453",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 11\n",
    "%reset -f\n",
    "\n",
    "r = range(10)\n",
    "print(r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0e3caa6c-7939-4611-83c9-0d1c7931890c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 12\n",
    "%reset -f\n",
    "\n",
    "r = range(1, 10)\n",
    "print(r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1344d616-6e55-470b-be9d-208acc3c0521",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 13\n",
    "%reset -f\n",
    "\n",
    "r = range(2, 9, 3)\n",
    "print(r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f6e1405c-eb38-418b-be05-80a32da685c2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 14\n",
    "%reset -f\n",
    "\n",
    "r = range(2, 11, 3)\n",
    "for i in r:\n",
    "  print(i, end=', ')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b36593c1-ed79-45ac-afa4-14efd0854f5f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 15\n",
    "%reset -f\n",
    "\n",
    "r = range(10, 0, -2)\n",
    "for i in r:\n",
    "  print(i, end=', ')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6a26a5df-7c48-4e6d-8707-d58929ae7b3f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 16\n",
    "%reset -f\n",
    "\n",
    "n = 5\n",
    "r = range(1, n+1)\n",
    "for i in r:\n",
    "  print('line', i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1c3884aa-bc4d-413b-8247-926e7124d947",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 17\n",
    "%reset -f\n",
    "\n",
    "s = 0\n",
    "n = 5\n",
    "r = range(1, n+1)\n",
    "for i in r:\n",
    "  s += i\n",
    "  print('sum =', s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6f07cfaf-6487-4dad-9a0c-c16a9e0fb1ec",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 18\n",
    "%reset -f\n",
    "\n",
    "l = []\n",
    "n = 5\n",
    "r = range(1, n+1)\n",
    "for i in r:\n",
    "  l.append(i)\n",
    "  print('list =', l)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c7cd22b8-33cc-4e40-8af7-e80ef218ae5a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 19\n",
    "%reset -f\n",
    "\n",
    "l = []\n",
    "n = 5\n",
    "r = range(1, n+1)\n",
    "for i in r:\n",
    "  l.append(i)\n",
    "  s = sum(l)\n",
    "  print('sum of', l, 'is', s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "67c72d1d-7018-4dc9-8666-27afb28a3642",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 20\n",
    "%reset -f\n",
    "\n",
    "l = []\n",
    "n = 5\n",
    "r = range(1, n+1)\n",
    "for i in r:\n",
    "  l.append(i)\n",
    "  s = sum(l)\n",
    "  m = len(l)\n",
    "  avg = s /m\n",
    "  print('average of', l, 'is', avg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8259cedd-6dd5-4c93-81f3-4450f32475f9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 21\n",
    "%reset -f\n",
    "\n",
    "r = range(1, 11)\n",
    "print(r)\n",
    "\n",
    "x = [*r]\n",
    "print('x =', x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1715b849-e390-4f61-a8bd-229c26668754",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 22\n",
    "%reset -f\n",
    "\n",
    "x = [*range(1, 11)]\n",
    "s = 0\n",
    "for i in x:\n",
    "  s += i\n",
    "\n",
    "print('x =', x)\n",
    "print('sum x =', s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a3ba91ce-18f5-4b92-928b-ab149a3c27bc",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 23\n",
    "%reset -f\n",
    "\n",
    "def my_sum(x):\n",
    "  ss = 0\n",
    "  for i in x:\n",
    "    ss += i\n",
    "  return ss\n",
    "\n",
    "x = [*range(1, 11)]\n",
    "s = my_sum(x)\n",
    "\n",
    "print('x =', x)\n",
    "print('sum x =', s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c2a48a8c-ccf7-40c0-83ce-b9cd4c82dbaa",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 24\n",
    "%reset -f\n",
    "\n",
    "x = [*range(1, 11)]\n",
    "s = sum(x)\n",
    "\n",
    "print('x =', x)\n",
    "print('sum x =', s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5759f201-fe63-4986-89f1-8aab2cadc09c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 25\n",
    "%reset -f\n",
    "\n",
    "x = [*range(1, 11)]\n",
    "s2 = 0\n",
    "for i in x:\n",
    "  s2 += i*i\n",
    "\n",
    "print('x =', x)\n",
    "print('sum x^2 =', s2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "05a83d19-115a-493c-8b30-6205cbc4e0b6",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 26\n",
    "%reset -f\n",
    "\n",
    "def sum_square(x):\n",
    "  s2 = 0\n",
    "  for i in x:\n",
    "    s2 += i*i\n",
    "  return s2\n",
    "\n",
    "x = [*range(1, 11)]\n",
    "s = sum_square(x)\n",
    "\n",
    "print('x =', x)\n",
    "print('sum x^2 =', s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c211cd08-fe9d-4054-8236-d02cc8d58d85",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 27\n",
    "%reset -f\n",
    "\n",
    "x = [*range(0, 4)]\n",
    "n = 3\n",
    "sn = 0\n",
    "for i in x:\n",
    "  xn = 1\n",
    "  for j in range(n):\n",
    "    xn *= i\n",
    "  sn += xn\n",
    "\n",
    "print('n =', n)\n",
    "print('x =', x)\n",
    "print('sum i^n = ', sn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a3ae525b-9bdb-4ed2-962a-8d610807cfe9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 28\n",
    "%reset -f\n",
    "\n",
    "def sum_power(x, n):\n",
    "  sn = 0\n",
    "  for i in x:\n",
    "    xn = 1\n",
    "    for j in range(n):\n",
    "      xn *= i\n",
    "    sn += xn\n",
    "  return sn\n",
    "\n",
    "x = [*range(0, 4)]\n",
    "n = 3\n",
    "sn = sum_power(x, n)\n",
    "\n",
    "print('n =', n)\n",
    "print('x =', x)\n",
    "print('sum i^n = ', sn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "612ccdbf-a21b-4351-8f33-9b2f5c759c3f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 29\n",
    "%reset -f\n",
    "\n",
    "def sum_power(x, n):\n",
    "  sn = 0\n",
    "  for i in x:\n",
    "    xn = 1\n",
    "    for j in range(n):\n",
    "      xn *= i\n",
    "    sn += xn\n",
    "  return sn\n",
    "\n",
    "x = [*range(0, 5)]\n",
    "n = 2\n",
    "sn = sum_power(x, n)\n",
    "\n",
    "print('n =', n)\n",
    "print('x =', x)\n",
    "print('sum i^n = ', sn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b8071aa4-0982-4d4c-9b0f-661a12611336",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 30\n",
    "%reset -f\n",
    "\n",
    "def sum_power(x, n):\n",
    "  sn = 0\n",
    "  for i in x:\n",
    "    xn = 1\n",
    "    for j in range(n):\n",
    "      xn *= i\n",
    "    sn += xn\n",
    "  return sn\n",
    "\n",
    "x = [*range(0, 11)]\n",
    "n = 1\n",
    "sn = sum_power(x, n)\n",
    "\n",
    "print('n =', n)\n",
    "print('x =', x)\n",
    "print('sum i^n = ', sn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "629ad1f5-f648-4050-9062-5c5e53bba5c5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 31\n",
    "%reset -f\n",
    "\n",
    "a = 1\n",
    "b = -10\n",
    "c = 16\n",
    "coefs = [c, b, a]\n",
    "\n",
    "D = b**2 - 4*a*c\n",
    "x1 = (-b - D**0.5) / (2*a)\n",
    "x2 = (-b + D**0.5) / (2*a)\n",
    "\n",
    "print('quadratic function =', coefs)\n",
    "print('root x1 =', x1)\n",
    "print('root x2 =', x2)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "809f9ca9-ee7d-4052-b95d-645c3daea86f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 32\n",
    "%reset -f\n",
    "\n",
    "def quad_roots(coefs):\n",
    "  a = coefs[0]\n",
    "  b = coefs[1]\n",
    "  c = coefs[2]\n",
    "  \n",
    "  D = b**2 - 4*a*c\n",
    "  x1 = (-b - D**0.5) / (2*a)\n",
    "  x2 = (-b + D**0.5) / (2*a)\n",
    "  \n",
    "  return x1, x2\n",
    "\n",
    "coefs = [1, -9, 20]\n",
    "print('quadratic function =', coefs)\n",
    "x1, x2 = quad_roots(coefs)\n",
    "print('root x1 =', x1)\n",
    "print('root x2 =', x2)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "55a21e32-bb50-4a68-8b6c-12bfe2a207be",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 33\n",
    "%reset -f\n",
    "\n",
    "n = 21\n",
    "xmin = 0\n",
    "xmax = 10\n",
    "dx = (xmax - xmin) / (n - 1)\n",
    "x = []\n",
    "for i in range(n):\n",
    "    x.append(xmin + i * dx)\n",
    "\n",
    "print('xmin =', xmin)\n",
    "print('xmax =', xmax)\n",
    "print('n =', n)\n",
    "print('x =', x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "41725322-8951-4695-8a3c-4427bd9b9b2f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 34\n",
    "%reset -f\n",
    "\n",
    "def gen_x(xmin, xmax, n):\n",
    "  dx = (xmax - xmin) / (n - 1)\n",
    "  x = []\n",
    "  for i in range(n):\n",
    "    x.append(xmin + i * dx)\n",
    "  return x\n",
    "\n",
    "n = 21\n",
    "xmin = 0\n",
    "xmax = 10\n",
    "x = gen_x(xmin, xmax, n)\n",
    "\n",
    "print('xmin =', xmin)\n",
    "print('xmax =', xmax)\n",
    "print('n =', n)\n",
    "print('x =', x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "daf742f3-31fd-4a8e-866b-44d23e1e8cf8",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 35\n",
    "\n",
    "n = 11\n",
    "xmin = 0\n",
    "xmax = 10\n",
    "x = gen_x(xmin, xmax, n)\n",
    "\n",
    "print('xmin =', xmin)\n",
    "print('xmax =', xmax)\n",
    "print('n =', n)\n",
    "print('x =', x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cf80809f-6f83-4335-8c56-1528ac81fe4a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 36\n",
    "\n",
    "n = 11\n",
    "xmin = 0\n",
    "xmax = 10\n",
    "x = gen_x(xmin, xmax, n)\n",
    "\n",
    "coefs = [18, -11, 1]\n",
    "y = []\n",
    "for i in x:\n",
    "  y0 = coefs[0]\n",
    "  y1 = coefs[1] * i\n",
    "  y2 = coefs[2] * i*i\n",
    "  y.append(y0 + y1 + y2)\n",
    "\n",
    "print('coefs =', coefs)\n",
    "print('x =', x)\n",
    "print('y =', y)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "322ec4c6-9379-4ed6-827a-742feb04c48b",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 37\n",
    "\n",
    "def gen_y(coefs, x):\n",
    "  y = []\n",
    "  for i in x:\n",
    "    y0 = coefs[0]\n",
    "    y1 = coefs[1] * i\n",
    "    y2 = coefs[2] * i*i\n",
    "    y.append(y0 + y1 + y2)\n",
    "  return y\n",
    "\n",
    "n = 11\n",
    "xmin = 0\n",
    "xmax = 10\n",
    "x = gen_x(xmin, xmax, n)\n",
    "\n",
    "coefs = [18, -11, 1]\n",
    "y = gen_y(coefs, x)\n",
    "\n",
    "print('coefs =', coefs)\n",
    "print('x =', x)\n",
    "print('y =', y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2377c506-9211-409a-97d0-ef3400c1a1ac",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 38\n",
    "\n",
    "n = 11\n",
    "xmin = 0\n",
    "xmax = 10\n",
    "x = gen_x(xmin, xmax, n)\n",
    "\n",
    "coefs = [18, -11, 1]\n",
    "y = gen_y(coefs, x)\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "plt.plot(x, y, '.-')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.plot([xmin, xmax], [0, 0])\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6c53e7ed-0cdf-4a5a-b787-4638a357258f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 39\n",
    "\n",
    "n = 21\n",
    "xmin = 0\n",
    "xmax = 10\n",
    "x = gen_x(xmin, xmax, n)\n",
    "\n",
    "coefs = [18, -11, 1]\n",
    "y = gen_y(coefs, x)\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "plt.plot(x, y, '.-')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.plot([xmin, xmax], [0, 0])\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6e17faa6-db74-4269-8dd7-ed270faa6f19",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 40\n",
    "\n",
    "n = 101\n",
    "xmin = 0\n",
    "xmax = 10\n",
    "x = gen_x(xmin, xmax, n)\n",
    "\n",
    "coefs = [18, -11, 1]\n",
    "y = gen_y(coefs, x)\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "plt.plot(x, y, '.-')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.xlim(1, 3)\n",
    "plt.plot([xmin, xmax], [0, 0])\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3e314aa2-2501-4942-831a-ee1a2ae8e3e5",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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