{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Jupyter Notebook example using primefinders library" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's get started with Sympy, Sicipy installation checks" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Requirement already satisfied: scipy in /srv/conda/lib/python3.7/site-packages (1.2.1)\n", "Requirement already satisfied: numpy>=1.8.2 in /srv/conda/lib/python3.7/site-packages (from scipy) (1.16.2)\n", "\u001b[33mYou are using pip version 18.1, however version 19.0.3 is available.\n", "You should consider upgrading via the 'pip install --upgrade pip' command.\u001b[0m\n", "Requirement already satisfied: sympy in /srv/conda/lib/python3.7/site-packages (1.3)\n", "Requirement already satisfied: mpmath>=0.19 in /srv/conda/lib/python3.7/site-packages (from sympy) (1.1.0)\n", "\u001b[33mYou are using pip version 18.1, however version 19.0.3 is available.\n", "You should consider upgrading via the 'pip install --upgrade pip' command.\u001b[0m\n", "Requirement already satisfied: numpy in /srv/conda/lib/python3.7/site-packages (1.16.2)\n", "\u001b[33mYou are using pip version 18.1, however version 19.0.3 is available.\n", "You should consider upgrading via the 'pip install --upgrade pip' command.\u001b[0m\n", "Requirement already satisfied: matplotlib in /srv/conda/lib/python3.7/site-packages (2.1.1)\n", "Requirement already satisfied: numpy>=1.7.1 in /srv/conda/lib/python3.7/site-packages (from matplotlib) (1.16.2)\n", "Requirement already satisfied: six>=1.10 in /srv/conda/lib/python3.7/site-packages (from matplotlib) (1.12.0)\n", "Requirement already satisfied: python-dateutil>=2.0 in /srv/conda/lib/python3.7/site-packages (from matplotlib) (2.8.0)\n", "Requirement already satisfied: pytz in /srv/conda/lib/python3.7/site-packages (from matplotlib) (2018.9)\n", "Requirement already satisfied: cycler>=0.10 in /srv/conda/lib/python3.7/site-packages (from matplotlib) (0.10.0)\n", "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /srv/conda/lib/python3.7/site-packages (from matplotlib) (2.3.1)\n", "\u001b[33mYou are using pip version 18.1, however version 19.0.3 is available.\n", "You should consider upgrading via the 'pip install --upgrade pip' command.\u001b[0m\n" ] } ], "source": [ "#verify that scipy is installed\n", "!pip install scipy\n", "#verify that sympy is installed\n", "!pip install sympy\n", "#verify that numpy is installed\n", "!pip install numpy\n", "#verify that matplotlib is installed\n", "!pip install matplotlib" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "#verify that PrimeFinders is installed\n", "!pip install git+https://github.com/LaGuer/PrimeFinders.git" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "from primefinders import primefinders" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "'primefinders.check(n)' returns 'True' if 'n' is a prime number\n", "'primefinders.factor(n)' returns the lowest prime factor of 'n'\n", "'primefinders.factors(n)' returns all the prime factors of 'n' with multiplicity\n", "'primefinders.first(n)' returns first 'n' many primes\n", "'primefinders.upto(n)' returns all the primes less than or equal to 'n'\n", "'primefinders.between(m,n)' returns all the primes between 'm' and 'n'\n", "'primefinders.phi(n)' returns the Euler's phi(n)\n", "'primefinders.lcg(n)' example of Linear Congruential Generator\n", "'primefinders.getResult(n)' returns 'True' if 'n' getResult\n", "'primefinders.calculate(n)' returns 1 if 'n' is prime\n", "'primefinders.fermat(n)' returns 1 if 'n' is prime using fermat a ** (n - 1)) % n)\n", "'primefinders.check_complex(n)' returns 1 if 'n' might be prime it said to be complex\n" ] } ], "source": [ "primefinders.about()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#9410309769636119433901981144786048550681811636889\n", "primefinders.check(81811636889)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "97" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "primefinders.factor(81811636889)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[2, 2, 2, 2, 2, 2, 2, 2, 2, 239, 6637]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "primefinders.factors(812156416)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "primefinders.first(20)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[2, 3, 5, 7]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "primefinders.upto(10)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1693, 1697, 1699, 1709]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "primefinders.between(1690,1712)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pool filled successfully\n", "\n", "**Progression**\n", "25%\n", "50%\n", "75%\n", "100%\n" ] }, { "data": { "text/plain": [ "1" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "primefinders.calculate(16889)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "primefinders.between(1700,1800)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "primefinders.between(1800,1900)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "primefinders.between(1900,2000)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[2003,\n", " 2011,\n", " 2017,\n", " 2027,\n", " 2029,\n", " 2039,\n", " 2053,\n", " 2063,\n", " 2069,\n", " 2081,\n", " 2083,\n", " 2087,\n", " 2089,\n", " 2099]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "primefinders.between(2000,2100)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "29" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "primefinders.factor(13543)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1800" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "primefinders.phi(1801)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "import scipy\n", "from scipy import constants" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.718281828459045" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "scipy.e" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.5772156649015329" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "scipy.euler_gamma" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1836.1526737600675" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "scipy.constants.m_p / scipy.constants.m_e" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Electron Compton Wavelength " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Electron Compton Wavelength is given by :\n", "scipy.constants.hbar / (scipy.constants.c * scipy.constants.m_e)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0545718001391127e-34" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "scipy.constants.hbar" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.2289717837595644" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "3.8615926754860414*scipy.euler_gamma" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[2, 2, 4051, 1375568861861]" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "primefinders.factors(22289717837595644)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[752933, 14006183819]" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "primefinders.factors(10545718001391127)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[11, 1280989, 262510132607]" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "primefinders.factors(3698998514839191553)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "exp(841)" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import sympy\n", "from sympy import exp\n", "sympy.exp(841)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "8.539734222673566" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "scipy.pi*scipy.e" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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"455816614155034523764634835750967023336381766578215586903745450992472945101355\n", "524815382230306318834436356571010605995107313001808119725741939792495780691234\n", "236837541193095777718331383452554119098450943494776053818062015880388836060693\n", "748276471055345768786871552762955799658565029612620171017374680087622333400966\n", "411349094024867140565127625620159303126237959261018079971178363595311963247904\n", "046942149878095687149316844087002781651292867085754956768139795944717786586322\n", "4353029081087237077965811392931876394353994356793170177090363" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# is this number prime ?\n", "8539734222673563**841" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "primefinders.getResult()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's switch to some sympy example" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from sympy import *\n", "import sympy.ntheory as nt\n", "init_printing()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nt.isprime(1733)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nt.isprime(8539734222673563**841)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nt.isprime(453591899840915007729783809943324448515944275642519571972837233909606336899794963852468361313639693847640541257130320827382582057392503295025274655349406230018127758894477562917938182041375905178819902540327566610936581907458846282589340601330150248791041946045553400702783988196496244462024173043023555660702657265785984130911118593005675198407906455520015459251346288975829859494581215488934704174197022688253615839462685436311656563909471252403283650066079310697230199791238114794817420784786652045620848211906115555849470114651960030326983885443539241490043158682185243680733405300500655909231366745228810213719756031690000834101079241174001386432783889407786148292548723971772763295482054235296488645938171785380028649324452284511593929155508141904557038141954657993486810273488273116967649462158330683522940641483355408530829183104484735130712786959169)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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"nt.nextprime(941000030976000009636119433000090190081144786048550681811000636753**13)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "image/png": 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"execution_count": 103, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 103, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "#%matplotlib inline\n", "x = np.arange(0, 60)\n", "fig, ax = plt.subplots(1, 1, figsize=(10, 12))\n", "ax.plot(x, np.log(2)**(x/4), '--k', label='$\\log(2)^(\\frac{x}{4}) $ ')\n", "ax.plot(x, np.log(2)**(x/2), '-k', label='$\\log(2)^(\\frac{x}{2}) $ ')\n", "ax.plot(x, np.log(2)**(x/np.pi), 'g', label='$\\log(2)^(\\frac{x}{2}) $ ')\n", "ax.plot(x, np.log(2)**(x/np.e), 'c', label='$\\log(2)^(\\frac{x}{2}) $ ')\n", "#ax.plot(x, list(map(np.exp(np.pi, x)**(x/4), x)), '-k', label='$pi(x)$')\n", "#ax.plot(x, list(map(nt.primepi, x)), '-k', label='$pi(x)$')\n", "#ax.plot(x, log(x)/4, '-k', label='$pi(x)$')\n", "#ax.plot(x, x / np.log(x), '--k', label='$x/log(x)$')\n", "#ax.plot(x, x / np.log(x), '--k', label='$x/log(x)$')\n", "#ax.plot(x, np.exp(2)**(x/4), '--k', label='$exp(2)^(x/4)$')\n", "#ax.plot(x, np.log(2)**(x/4), '--k', label='$log(2)^(x/4)$')\n", "ax.legend(loc=2)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First off we need to check if all necessary libraries are installed" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Prime numbers" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 1\n", "\n", "Write a function that tests if a number is prime. Test it by writing out all prime numbers less than 50." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a \"simple\" solution, but not efficient." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "def isprime(n):\n", " \"\"\"\n", " Checks to see if an integer is prime.\n", " \n", " Parameters\n", " ----------\n", " \n", " n : integer\n", " Number to check\n", " \n", " Returns\n", " -------\n", " \n", " isprime : Boolean\n", " If n is prime\n", " \"\"\"\n", " \n", " # No number less than 2 can be prime\n", " if n < 2:\n", " return False\n", " \n", " # We only need to check for divisors up to sqrt(n)\n", " for m in range(2, int(n**0.5)+1):\n", " if n%m == 0:\n", " return False\n", " \n", " # If we've got this far, there are no divisors.\n", " return True" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Function says that 2 is prime.\n", "Function says that 3 is prime.\n", "Function says that 5 is prime.\n", "Function says that 7 is prime.\n", "Function says that 11 is prime.\n", "Function says that 13 is prime.\n", "Function says that 17 is prime.\n", "Function says that 19 is prime.\n", "Function says that 23 is prime.\n", "Function says that 29 is prime.\n", "Function says that 31 is prime.\n", "Function says that 37 is prime.\n", "Function says that 41 is prime.\n", "Function says that 43 is prime.\n", "Function says that 47 is prime.\n" ] } ], "source": [ "for n in range(50):\n", " if isprime(n):\n", " print(\"Function says that {} is prime.\".format(n))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 2\n", "\n", "500 years ago some believed that the number $2^n - 1$ was prime for *all* primes $n$. Use your function to find the first prime $n$ for which this is not true." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could do this many ways. This \"elegant\" solution says:\n", "\n", "* Start from the smallest possible $n$ (2).\n", "* Check if $n$ is prime. If not, add one to $n$.\n", "* If $n$ is prime, check if $2^n-1$ is prime. If it is, add one to $n$.\n", "* If both those logical checks fail, we have found the $n$ we want." ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The first n such that 2^n-1 is not prime is 11.\n" ] } ], "source": [ "n = 2\n", "while (not isprime(n)) or (isprime(2**n-1)):\n", " n += 1\n", "print(\"The first n such that 2^n-1 is not prime is {}.\".format(n))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 3\n", "\n", "The *Mersenne* primes are those that have the form $2^n-1$, where $n$ is prime. Use your previous solutions to generate all the $n < 40$ that give Mersenne primes." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n=2 is such that 2^n-1 is prime.\n", "n=3 is such that 2^n-1 is prime.\n", "n=5 is such that 2^n-1 is prime.\n", "n=7 is such that 2^n-1 is prime.\n", "n=13 is such that 2^n-1 is prime.\n", "n=17 is such that 2^n-1 is prime.\n", "n=19 is such that 2^n-1 is prime.\n", "n=31 is such that 2^n-1 is prime.\n" ] } ], "source": [ "for n in range(2, 41):\n", " if isprime(n) and isprime(2**n-1):\n", " print(\"n={} is such that 2^n-1 is prime.\".format(n))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 4\n", "\n", "Write a function to compute all prime factors of an integer $n$, including their multiplicities. Test it by printing the prime factors (without multiplicities) of $n = 17, \\dots, 20$ and the multiplicities (without factors) of $n = 48$.\n", "\n", "##### Note \n", "\n", "One effective solution is to return a *dictionary*, where the keys are the factors and the values are the multiplicities." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This solution uses the trick of immediately dividing $n$ by any divisor: this means we never have to check the divisor for being prime." ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "def prime_factors(n):\n", " \"\"\"\n", " Generate all the prime factors of n.\n", " \n", " Parameters\n", " ----------\n", " \n", " n : integer\n", " Number to be checked\n", " \n", " Returns\n", " -------\n", " \n", " factors : dict\n", " Prime factors (keys) and multiplicities (values)\n", " \"\"\"\n", " \n", " factors = {}\n", " \n", " m = 2\n", " while m <= n:\n", " if n%m == 0:\n", " factors[m] = 1\n", " n //= m\n", " while n%m == 0:\n", " factors[m] += 1\n", " n //= m\n", " m += 1\n", " \n", " return factors" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Prime factors of 17 are dict_keys([17]).\n", "Prime factors of 18 are dict_keys([2, 3]).\n", "Prime factors of 19 are dict_keys([19]).\n", "Prime factors of 20 are dict_keys([2, 5]).\n", "Multiplicities of prime factors of 48 are dict_values([4, 1]).\n" ] } ], "source": [ "for n in range(17, 21):\n", " print(\"Prime factors of {} are {}.\".format(n, prime_factors(n).keys()))\n", "print(\"Multiplicities of prime factors of 48 are {}.\".format(prime_factors(48).values()))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 5\n", "\n", "Write a function to generate all the integer divisors, including 1, but not including $n$ itself, of an integer $n$. Test it on $n = 16, \\dots, 20$.\n", "\n", "##### Note\n", "\n", "You could use the prime factorization from the previous exercise, or you could do it directly." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we will do it directly." ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "def divisors(n):\n", " \"\"\"\n", " Generate all integer divisors of n.\n", " \n", " Parameters\n", " ----------\n", " \n", " n : integer\n", " Number to be checked\n", " \n", " Returns\n", " -------\n", " \n", " divs : list\n", " All integer divisors, including 1.\n", " \"\"\"\n", " \n", " divs = [1]\n", " m = 2\n", " while m <= n/2:\n", " if n%m == 0:\n", " divs.append(m)\n", " m += 1\n", " \n", " return divs" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The divisors of 16 are [1, 2, 4, 8].\n", "The divisors of 17 are [1].\n", "The divisors of 18 are [1, 2, 3, 6, 9].\n", "The divisors of 19 are [1].\n", "The divisors of 20 are [1, 2, 4, 5, 10].\n" ] } ], "source": [ "for n in range(16, 21):\n", " print(\"The divisors of {} are {}.\".format(n, divisors(n)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 6\n", "\n", "A *perfect* number $n$ is one where the divisors sum to $n$. For example, 6 has divisors 1, 2, and 3, which sum to 6. Use your previous solution to find all perfect numbers $n < 10,000$ (there are only four!)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can do this much more efficiently than the code below using packages such as `numpy`, but this is a \"bare python\" solution." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "def isperfect(n):\n", " \"\"\"\n", " Check if a number is perfect.\n", " \n", " Parameters\n", " ----------\n", " \n", " n : integer\n", " Number to check\n", " \n", " Returns\n", " -------\n", " \n", " isperfect : Boolean\n", " Whether it is perfect or not.\n", " \"\"\"\n", " \n", " divs = divisors(n)\n", " sum_divs = 0\n", " for d in divs:\n", " sum_divs += d\n", " \n", " return n == sum_divs" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "6 is perfect.\n", "Divisors are [1, 2, 3].\n", "Prime factors dict_keys([2, 3]) (multiplicities dict_values([1, 1])).\n", "28 is perfect.\n", "Divisors are [1, 2, 4, 7, 14].\n", "Prime factors dict_keys([2, 7]) (multiplicities dict_values([2, 1])).\n", "496 is perfect.\n", "Divisors are [1, 2, 4, 8, 16, 31, 62, 124, 248].\n", "Prime factors dict_keys([2, 31]) (multiplicities dict_values([4, 1])).\n", "8128 is perfect.\n", "Divisors are [1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064].\n", "Prime factors dict_keys([2, 127]) (multiplicities dict_values([6, 1])).\n" ] } ], "source": [ "for n in range(2,10000):\n", " if (isperfect(n)):\n", " factors = prime_factors(n)\n", " print(\"{} is perfect.\\n\"\n", " \"Divisors are {}.\\n\"\n", " \"Prime factors {} (multiplicities {}).\".format(\n", " n, divisors(n), factors.keys(), factors.values()))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 7\n", "\n", "Using your previous functions, check that all perfect numbers $n < 10,000$ can be written as $2^{k-1} \\times (2^k - 1)$, where $2^k-1$ is a Mersenne prime." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In fact we did this above already:\n", "\n", "* $6 = 2^{2-1} \\times (2^2 - 1)$. 2 is the first number on our Mersenne list.\n", "* $28 = 2^{3-1} \\times (2^3 - 1)$. 3 is the second number on our Mersenne list.\n", "* $496 = 2^{5-1} \\times (2^5 - 1)$. 5 is the third number on our Mersenne list.\n", "* $8128 = 2^{7-1} \\times (2^7 - 1)$. 7 is the fourth number on our Mersenne list." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 8 (bonus)\n", "\n", "Investigate the `timeit` function in python or IPython. Use this to measure how long your function takes to check that, if $k$ on the Mersenne list then $n = 2^{k-1} \\times (2^k - 1)$ is a perfect number, using your functions. Stop increasing $k$ when the time takes too long!\n", "\n", "##### Note\n", "\n", "You could waste considerable time on this, and on optimizing the functions above to work efficiently. It is *not* worth it, other than to show how rapidly the computation time can grow!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.49 µs ± 215 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n" ] } ], "source": [ "%timeit isperfect(2**(3-1)*(2**3-1))" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "35.3 µs ± 4 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n" ] } ], "source": [ "%timeit isperfect(2**(5-1)*(2**5-1))" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "658 µs ± 64.9 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n" ] } ], "source": [ "%timeit isperfect(2**(7-1)*(2**7-1))" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.72 s ± 290 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" ] } ], "source": [ "%timeit isperfect(2**(13-1)*(2**13-1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's worth thinking about the operation counts of the various functions implemented here. The implementations are inefficient, but even in the best case you see how the number of operations (and hence computing time required) rapidly increases." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Logistic map" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Partly taken from Newman's book, p 120." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The logistic map builds a sequence of numbers $\\{ x_n \\}$ using the relation\n", "\n", "\\begin{equation}\n", " x_{n+1} = r x_n \\left( 1 - x_n \\right),\n", "\\end{equation}\n", "\n", "where $0 \\le x_0 \\le 1$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 1\n", "\n", "Write a program that calculates the first $N$ members of the sequence, given as input $x_0$ and $r$ (and, of course, $N$)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [], "source": [ "def logistic(x0, r, N = 1000):\n", " sequence = [x0]\n", " xn = x0\n", " for n in range(N):\n", " xnew = r*xn*(1.0-xn)\n", " sequence.append(xnew)\n", " xn = xnew\n", " return sequence" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 2\n", "\n", "Fix $x_0=0.5$. Calculate the first 2,000 members of the sequence for $r=1.5$ and $r=3.5$ Plot the last 100 members of the sequence in both cases.\n", "\n", "What does this suggest about the long-term behaviour of the sequence?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy\n", "from matplotlib import pyplot\n", "%matplotlib inline\n", "\n", "x0 = 0.5\n", "N = 2000\n", "sequence1 = logistic(x0, 1.5, N)\n", "sequence2 = logistic(x0, 3.5, N)\n", "pyplot.plot(sequence1[-100:], 'b-', label = r'$r=1.5$')\n", "pyplot.plot(sequence2[-100:], 'k-', label = r'$r=3.5$')\n", "pyplot.xlabel(r'$n$')\n", "pyplot.ylabel(r'$x$')\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This suggests that, for $r=1.5$, the sequence has settled down to a fixed point. In the $r=3.5$ case it seems to be moving between four points repeatedly." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 3\n", "\n", "Fix $x_0 = 0.5$. For each value of $r$ between $1$ and $4$, in steps of $0.01$, calculate the first 2,000 members of the sequence. Plot the last 1,000 members of the sequence on a plot where the $x$-axis is the value of $r$ and the $y$-axis is the values in the sequence. Do not plot lines - just plot markers (e.g., use the `'k.'` plotting style)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy\n", "from matplotlib import pyplot\n", "%matplotlib inline\n", "\n", "# This is the \"best\" way of doing it, but numpy hasn't been introduced yet\n", "# r_values = numpy.arange(1.0, 4.0, 0.01) \n", "r_values = []\n", "for i in range(302):\n", " r_values.append(1.0 + 0.01 * i)\n", "x0 = 0.5\n", "N = 2000\n", "for r in r_values:\n", " sequence = logistic(x0, r, N)\n", " pyplot.plot(r*numpy.ones_like(sequence[1000:]), sequence[1000:], 'k.')\n", "pyplot.xlabel(r'$r$')\n", "pyplot.ylabel(r'$x$')\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 4\n", "\n", "For iterative maps such as the logistic map, one of three things can occur:\n", "\n", "1. The sequence settles down to a *fixed point*.\n", "2. The sequence rotates through a finite number of values. This is called a *limit cycle*.\n", "3. The sequence generates an infinite number of values. This is called *deterministic chaos*.\n", "\n", "Using just your plot, or new plots from this data, work out approximate values of $r$ for which there is a transition from fixed points to limit cycles, from limit cycles of a given number of values to more values, and the transition to chaos." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first transition is at $r \\approx 3$, the next at $r \\approx 3.45$, the next at $r \\approx 3.55$. The transition to chaos appears to happen before $r=4$, but it's not obvious exactly where." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Mandelbrot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Mandelbrot set is also generated from a sequence, $\\{ z_n \\}$, using the relation\n", "\n", "\\begin{equation}\n", " z_{n+1} = z_n^2 + c, \\qquad z_0 = 0.\n", "\\end{equation}\n", "\n", "The members of the sequence, and the constant $c$, are all complex. The point in the complex plane at $c$ is in the Mandelbrot set only if the $|z_n| < 2$ for all members of the sequence. In reality, checking the first 100 iterations is sufficient.\n", "\n", "Note: the python notation for a complex number $x + \\text{i} y$ is `x + yj`: that is, `j` is used to indicate $\\sqrt{-1}$. If you know the values of `x` and `y` then `x + yj` constructs a complex number; if they are stored in variables you can use `complex(x, y)`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 1\n", "\n", "Write a function that checks if the point $c$ is in the Mandelbrot set." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [], "source": [ "def in_Mandelbrot(c, n_iterations = 100):\n", " z0 = 0.0 + 0j\n", " in_set = True\n", " n = 0\n", " zn = z0\n", " while in_set and (n < n_iterations):\n", " n += 1\n", " znew = zn**2 + c\n", " in_set = abs(znew) < 2.0\n", " zn = znew\n", " return in_set" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 2\n", "\n", "Check the points $c=0$ and $c=\\pm 2 \\pm 2 \\text{i}$ and ensure they do what you expect. (What *should* you expect?)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Is 0.0 in the Mandelbrot set? True.\n", "Is (2+2j) in the Mandelbrot set? False.\n", "Is (2-2j) in the Mandelbrot set? False.\n", "Is (-2+2j) in the Mandelbrot set? False.\n", "Is (-2-2j) in the Mandelbrot set? False.\n" ] } ], "source": [ "c_values = [0.0, 2+2j, 2-2j, -2+2j, -2-2j]\n", "for c in c_values:\n", " print(\"Is {} in the Mandelbrot set? {}.\".format(c, in_Mandelbrot(c)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 3\n", "\n", "Write a function that, given $N$\n", "\n", "1. generates an $N \\times N$ grid spanning $c = x + \\text{i} y$, for $-2 \\le x \\le 2$ and $-2 \\le y \\le 2$;\n", "2. returns an $N\\times N$ array containing one if the associated grid point is in the Mandelbrot set, and zero otherwise." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [], "source": [ "import numpy\n", "\n", "def grid_Mandelbrot(N):\n", " x = numpy.linspace(-2.0, 2.0, N)\n", " X, Y = numpy.meshgrid(x, x)\n", " C = X + 1j*Y\n", " grid = numpy.zeros((N, N), int)\n", " for nx in range(N):\n", " for ny in range(N):\n", " grid[nx, ny] = int(in_Mandelbrot(C[nx, ny]))\n", " return grid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 4\n", "\n", "Using the function `imshow` from `matplotlib`, plot the resulting array for a $100 \\times 100$ array to make sure you see the expected shape." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot\n", "%matplotlib inline\n", "\n", "pyplot.imshow(grid_Mandelbrot(100))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 5\n", "\n", "Modify your functions so that, instead of returning whether a point is inside the set or not, it returns the logarithm of the number of iterations it takes. Plot the result using `imshow` again." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [], "source": [ "from math import log\n", "\n", "def log_Mandelbrot(c, n_iterations = 100):\n", " z0 = 0.0 + 0j\n", " in_set = True\n", " n = 0\n", " zn = z0\n", " while in_set and (n < n_iterations):\n", " n += 1\n", " znew = zn**2 + c\n", " in_set = abs(znew) < 2.0\n", " zn = znew\n", " return log(n)\n", "\n", "def log_grid_Mandelbrot(N):\n", " x = numpy.linspace(-2.0, 2.0, N)\n", " X, Y = numpy.meshgrid(x, x)\n", " C = X + 1j*Y\n", " grid = numpy.zeros((N, N), int)\n", " for nx in range(N):\n", " for ny in range(N):\n", " grid[nx, ny] = log_Mandelbrot(C[nx, ny])\n", " return grid" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 62, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot\n", "%matplotlib inline\n", "\n", "pyplot.imshow(log_grid_Mandelbrot(100))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 6\n", "\n", "Try some higher resolution plots, and try plotting only a section to see the structure. **Note** this is not a good way to get high accuracy close up images!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a simple example:" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pyplot.imshow(log_grid_Mandelbrot(1000)[600:800,400:600])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Equivalence classes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An *equivalence class* is a relation that groups objects in a set into related subsets. For example, if we think of the integers modulo $7$, then $1$ is in the same equivalence class as $8$ (and $15$, and $22$, and so on), and $3$ is in the same equivalence class as $10$. We use the tilde $3 \\sim 10$ to denote two objects within the same equivalence class.\n", "\n", "Here, we are going to define the positive integers programmatically from equivalent sequences." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 1\n", "\n", "Define a python class `Eqint`. This should be\n", "\n", "1. Initialized by a sequence;\n", "2. Store the sequence;\n", "3. Define its representation (via the `__repr__` function) to be the integer length of the sequence;\n", "4. Redefine equality (via the `__eq__` function) so that two `eqint`s are equal if their sequences have same length." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [], "source": [ "class Eqint(object):\n", " \n", " def __init__(self, sequence):\n", " self.sequence = sequence\n", " \n", " def __repr__(self):\n", " return str(len(self.sequence))\n", " \n", " def __eq__(self, other):\n", " return len(self.sequence)==len(other.sequence)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 2\n", "\n", "Define a `zero` object from the empty list, and three `one` objects, from a single object list, tuple, and string. For example\n", "\n", "```python\n", "one_list = Eqint([1])\n", "one_tuple = Eqint((1,))\n", "one_string = Eqint('1')\n", "```\n", "\n", "Check that none of the `one` objects equal the zero object, but all equal the other `one` objects. Print each object to check that the representation gives the integer length." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Is zero equivalent to one? False, False, False\n", "Is one equivalent to one? True, True, True.\n", "0\n", "1\n", "1\n", "1\n" ] } ], "source": [ "zero = Eqint([])\n", "one_list = Eqint([1])\n", "one_tuple = Eqint((1,))\n", "one_string = Eqint('1')\n", "\n", "print(\"Is zero equivalent to one? {}, {}, {}\".format(zero == one_list, \n", " zero == one_tuple,\n", " zero == one_string))\n", "print(\"Is one equivalent to one? {}, {}, {}.\".format(one_list == one_tuple,\n", " one_list == one_string,\n", " one_tuple == one_string))\n", "print(zero)\n", "print(one_list)\n", "print(one_tuple)\n", "print(one_string)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 3\n", "\n", "Redefine the class by including an `__add__` method that combines the two sequences. That is, if `a` and `b` are `Eqint`s then `a+b` should return an `Eqint` defined from combining `a` and `b`s sequences.\n", "\n", "##### Note\n", "\n", "Adding two different *types* of sequences (eg, a list to a tuple) does not work, so it is better to either iterate over the sequences, or to convert to a uniform type before adding." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [], "source": [ "class Eqint(object):\n", " \n", " def __init__(self, sequence):\n", " self.sequence = sequence\n", " \n", " def __repr__(self):\n", " return str(len(self.sequence))\n", " \n", " def __eq__(self, other):\n", " return len(self.sequence)==len(other.sequence)\n", " \n", " def __add__(a, b):\n", " return Eqint(tuple(a.sequence) + tuple(b.sequence))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 4\n", "\n", "Check your addition function by adding together all your previous `Eqint` objects (which will need re-defining, as the class has been redefined). Print the resulting object to check you get `3`, and also print its internal sequence." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The sum is 3.\n", "The internal sequence is (1, 1, '1').\n" ] } ], "source": [ "zero = Eqint([])\n", "one_list = Eqint([1])\n", "one_tuple = Eqint((1,))\n", "one_string = Eqint('1')\n", "\n", "sum_eqint = zero + one_list + one_tuple + one_string\n", "print(\"The sum is {}.\".format(sum_eqint))\n", "print(\"The internal sequence is {}.\".format(sum_eqint.sequence))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 5\n", "\n", "We will sketch a construction of the positive integers from *nothing*.\n", "\n", "1. Define an empty list `positive_integers`.\n", "2. Define an `Eqint` called `zero` from the empty list. Append it to `positive_integers`.\n", "3. Define an `Eqint` called `next_integer` from the `Eqint` defined by *a copy of* `positive_integers` (ie, use `Eqint(list(positive_integers))`. Append it to `positive_integers`.\n", "4. Repeat step 3 as often as needed.\n", "\n", "Use this procedure to define the `Eqint` equivalent to $10$. Print it, and its internal sequence, to check." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The 'final' Eqint is 10\n", "Its sequence is [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\n", "That is, it contains all Eqints with length less than 10.\n" ] } ], "source": [ "positive_integers = []\n", "zero = Eqint([])\n", "positive_integers.append(zero)\n", "\n", "N = 10\n", "for n in range(1,N+1):\n", " positive_integers.append(Eqint(list(positive_integers)))\n", " \n", "print(\"The 'final' Eqint is {}\".format(positive_integers[-1]))\n", "print(\"Its sequence is {}\".format(positive_integers[-1].sequence))\n", "print(\"That is, it contains all Eqints with length less than 10.\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Rational numbers" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instead of working with floating point numbers, which are not \"exact\", we could work with the rational numbers $\\mathbb{Q}$. A rational number $q \\in \\mathbb{Q}$ is defined by the *numerator* $n$ and *denominator* $d$ as $q = \\frac{n}{d}$, where $n$ and $d$ are *coprime* (ie, have no common divisor other than $1$)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 1\n", "\n", "Find a python function that finds the greatest common divisor (`gcd`) of two numbers. Use this to write a function `normal_form` that takes a numerator and divisor and returns the coprime $n$ and $d$. Test this function on $q = \\frac{3}{2}$, $q = \\frac{15}{3}$, and $q = \\frac{20}{42}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [], "source": [ "def normal_form(numerator, denominator):\n", " from fractions import gcd\n", " \n", " factor = gcd(numerator, denominator)\n", " return numerator//factor, denominator//factor" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(3, 2)\n", "(5, 1)\n", "(10, 21)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/srv/conda/lib/python3.7/site-packages/ipykernel_launcher.py:4: DeprecationWarning: fractions.gcd() is deprecated. Use math.gcd() instead.\n", " after removing the cwd from sys.path.\n" ] } ], "source": [ "print(normal_form(3, 2))\n", "print(normal_form(15, 3))\n", "print(normal_form(20, 42))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 2\n", "\n", "Define a class `Rational` that uses the `normal_form` function to store the rational number in the appropriate form. Define a `__repr__` function that prints a string that *looks like* $\\frac{n}{d}$ (**hint**: use `len(str(number))` to find the number of digits of an integer). Test it on the cases above." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [], "source": [ "class Rational(object):\n", " \"\"\"\n", " A rational number.\n", " \"\"\"\n", " \n", " def __init__(self, numerator, denominator):\n", " \n", " n, d = normal_form(numerator, denominator)\n", " \n", " self.numerator = n\n", " self.denominator = d\n", " \n", " return None\n", " \n", " def __repr__(self):\n", " \n", " max_length = max(len(str(self.numerator)), len(str(self.denominator)))\n", " \n", " if self.denominator == 1:\n", " frac = str(self.numerator)\n", " else:\n", " numerator = str(self.numerator)+'\\n'\n", " bar = max_length*'-'+'\\n'\n", " denominator = str(self.denominator)\n", " frac = numerator+bar+denominator\n", " \n", " return frac" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3\n", "-\n", "2\n", "5\n", "10\n", "--\n", "21\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/srv/conda/lib/python3.7/site-packages/ipykernel_launcher.py:4: DeprecationWarning: fractions.gcd() is deprecated. Use math.gcd() instead.\n", " after removing the cwd from sys.path.\n" ] } ], "source": [ "q1 = Rational(3, 2)\n", "print(q1)\n", "q2 = Rational(15, 3)\n", "print(q2)\n", "q3 = Rational(20, 42)\n", "print(q3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 3\n", "\n", "Overload the `__add__` function so that you can add two rational numbers. Test it on $\\frac{1}{2} + \\frac{1}{3} + \\frac{1}{6} = 1$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [], "source": [ "class Rational(object):\n", " \"\"\"\n", " A rational number.\n", " \"\"\"\n", " \n", " def __init__(self, numerator, denominator):\n", " \n", " n, d = normal_form(numerator, denominator)\n", " \n", " self.numerator = n\n", " self.denominator = d\n", " \n", " return None\n", " \n", " def __add__(a, b):\n", " \n", " numerator = a.numerator * b.denominator + b.numerator * a.denominator\n", " denominator = a.denominator * b.denominator\n", " return Rational(numerator, denominator)\n", " \n", " def __repr__(self):\n", " \n", " max_length = max(len(str(self.numerator)), len(str(self.denominator)))\n", " \n", " if self.denominator == 1:\n", " frac = str(self.numerator)\n", " else:\n", " numerator = str(self.numerator)+'\\n'\n", " bar = max_length*'-'+'\\n'\n", " denominator = str(self.denominator)\n", " frac = numerator+bar+denominator\n", " \n", " return frac" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/srv/conda/lib/python3.7/site-packages/ipykernel_launcher.py:4: DeprecationWarning: fractions.gcd() is deprecated. Use math.gcd() instead.\n", " after removing the cwd from sys.path.\n" ] } ], "source": [ "print(Rational(1,2) + Rational(1,3) + Rational(1,6))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 4\n", "\n", "Overload the `__mul__` function so that you can multiply two rational numbers. Test it on $\\frac{1}{3} \\times \\frac{15}{2} \\times \\frac{2}{5} = 1$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [], "source": [ "class Rational(object):\n", " \"\"\"\n", " A rational number.\n", " \"\"\"\n", " \n", " def __init__(self, numerator, denominator):\n", " \n", " n, d = normal_form(numerator, denominator)\n", " \n", " self.numerator = n\n", " self.denominator = d\n", " \n", " return None\n", " \n", " def __add__(a, b):\n", " \n", " numerator = a.numerator * b.denominator + b.numerator * a.denominator\n", " denominator = a.denominator * b.denominator\n", " return Rational(numerator, denominator)\n", " \n", " def __mul__(a, b):\n", " \n", " numerator = a.numerator * b.numerator\n", " denominator = a.denominator * b.denominator\n", " return Rational(numerator, denominator)\n", " \n", " def __repr__(self):\n", " \n", " max_length = max(len(str(self.numerator)), len(str(self.denominator)))\n", " \n", " if self.denominator == 1:\n", " frac = str(self.numerator)\n", " else:\n", " numerator = str(self.numerator)+'\\n'\n", " bar = max_length*'-'+'\\n'\n", " denominator = str(self.denominator)\n", " frac = numerator+bar+denominator\n", " \n", " return frac" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/srv/conda/lib/python3.7/site-packages/ipykernel_launcher.py:4: DeprecationWarning: fractions.gcd() is deprecated. Use math.gcd() instead.\n", " after removing the cwd from sys.path.\n" ] } ], "source": [ "print(Rational(1,3)*Rational(15,2)*Rational(2,5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 5\n", "\n", "Overload the [`__rmul__`](https://docs.python.org/2/reference/datamodel.html?highlight=rmul#object.__rmul__) function so that you can multiply a rational by an *integer*. Check that $\\frac{1}{2} \\times 2 = 1$ and $\\frac{1}{2} + (-1) \\times \\frac{1}{2} = 0$. Also overload the `__sub__` function (using previous functions!) so that you can subtract rational numbers and check that $\\frac{1}{2} - \\frac{1}{2} = 0$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [], "source": [ "class Rational(object):\n", " \"\"\"\n", " A rational number.\n", " \"\"\"\n", " \n", " def __init__(self, numerator, denominator):\n", " \n", " n, d = normal_form(numerator, denominator)\n", " \n", " self.numerator = n\n", " self.denominator = d\n", " \n", " return None\n", " \n", " def __add__(a, b):\n", " \n", " numerator = a.numerator * b.denominator + b.numerator * a.denominator\n", " denominator = a.denominator * b.denominator\n", " return Rational(numerator, denominator)\n", " \n", " def __mul__(a, b):\n", " \n", " numerator = a.numerator * b.numerator\n", " denominator = a.denominator * b.denominator\n", " return Rational(numerator, denominator)\n", " \n", " def __rmul__(self, other):\n", " \n", " numerator = self.numerator * other\n", " return Rational(numerator, self.denominator)\n", " \n", " def __sub__(a, b):\n", " \n", " return a + (-1)*b\n", " \n", " def __repr__(self):\n", " \n", " max_length = max(len(str(self.numerator)), len(str(self.denominator)))\n", " \n", " if self.denominator == 1:\n", " frac = str(self.numerator)\n", " else:\n", " numerator = str(self.numerator)+'\\n'\n", " bar = max_length*'-'+'\\n'\n", " denominator = str(self.denominator)\n", " frac = numerator+bar+denominator\n", " \n", " return frac" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1\n", "0\n", "0\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/srv/conda/lib/python3.7/site-packages/ipykernel_launcher.py:4: DeprecationWarning: fractions.gcd() is deprecated. Use math.gcd() instead.\n", " after removing the cwd from sys.path.\n" ] } ], "source": [ "half = Rational(1,2)\n", "print(2*half)\n", "print(half+(-1)*half)\n", "print(half-half)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 6\n", "\n", "Overload the `__float__` function so that `float(q)` returns the floating point approximation to the rational number `q`. Test this on $\\frac{1}{2}, \\frac{1}{3}$, and $\\frac{1}{11}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [], "source": [ "class Rational(object):\n", " \"\"\"\n", " A rational number.\n", " \"\"\"\n", " \n", " def __init__(self, numerator, denominator):\n", " \n", " n, d = normal_form(numerator, denominator)\n", " \n", " self.numerator = n\n", " self.denominator = d\n", " \n", " return None\n", " \n", " def __add__(a, b):\n", " \n", " numerator = a.numerator * b.denominator + b.numerator * a.denominator\n", " denominator = a.denominator * b.denominator\n", " return Rational(numerator, denominator)\n", " \n", " def __mul__(a, b):\n", " \n", " numerator = a.numerator * b.numerator\n", " denominator = a.denominator * b.denominator\n", " return Rational(numerator, denominator)\n", " \n", " def __rmul__(self, other):\n", " \n", " numerator = self.numerator * other\n", " return Rational(numerator, self.denominator)\n", " \n", " def __sub__(a, b):\n", " \n", " return a + (-1)*b\n", " \n", " def __float__(a):\n", " \n", " return float(a.numerator) / float(a.denominator)\n", " \n", " def __repr__(self):\n", " \n", " max_length = max(len(str(self.numerator)), len(str(self.denominator)))\n", " \n", " if self.denominator == 1:\n", " frac = str(self.numerator)\n", " else:\n", " numerator = str(self.numerator)+'\\n'\n", " bar = max_length*'-'+'\\n'\n", " denominator = str(self.denominator)\n", " frac = numerator+bar+denominator\n", " \n", " return frac" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.5\n", "0.3333333333333333\n", "0.09090909090909091\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/srv/conda/lib/python3.7/site-packages/ipykernel_launcher.py:4: DeprecationWarning: fractions.gcd() is deprecated. Use math.gcd() instead.\n", " after removing the cwd from sys.path.\n" ] } ], "source": [ "print(float(Rational(1,2)))\n", "print(float(Rational(1,3)))\n", "print(float(Rational(1,11)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 7\n", "\n", "Overload the `__lt__` function to compare two rational numbers. Create a list of rational numbers where the denominator is $n = 2, \\dots, 11$ and the numerator is the floored integer $n/2$, ie `n//2`. Use the `sorted` function on that list (which relies on the `__lt__` function)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [], "source": [ "class Rational(object):\n", " \"\"\"\n", " A rational number.\n", " \"\"\"\n", " \n", " def __init__(self, numerator, denominator):\n", " \n", " n, d = normal_form(numerator, denominator)\n", " \n", " self.numerator = n\n", " self.denominator = d\n", " \n", " return None\n", " \n", " def __add__(a, b):\n", " \n", " numerator = a.numerator * b.denominator + b.numerator * a.denominator\n", " denominator = a.denominator * b.denominator\n", " return Rational(numerator, denominator)\n", " \n", " def __mul__(a, b):\n", " \n", " numerator = a.numerator * b.numerator\n", " denominator = a.denominator * b.denominator\n", " return Rational(numerator, denominator)\n", " \n", " def __rmul__(self, other):\n", " \n", " numerator = self.numerator * other\n", " return Rational(numerator, self.denominator)\n", " \n", " def __sub__(a, b):\n", " \n", " return a + (-1)*b\n", " \n", " def __float__(a):\n", " \n", " return float(a.numerator) / float(a.denominator)\n", " \n", " def __lt__(a, b):\n", " \n", " return a.numerator * b.denominator < a.denominator * b.numerator\n", " \n", " def __repr__(self):\n", " \n", " max_length = max(len(str(self.numerator)), len(str(self.denominator)))\n", " \n", " if self.denominator == 1:\n", " frac = str(self.numerator)\n", " else:\n", " numerator = '\\n'+str(self.numerator)+'\\n'\n", " bar = max_length*'-'+'\\n'\n", " denominator = str(self.denominator)\n", " frac = numerator+bar+denominator\n", " \n", " return frac" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[\n", "1\n", "-\n", "3, \n", "2\n", "-\n", "5, \n", "3\n", "-\n", "7, \n", "4\n", "-\n", "9, \n", "5\n", "--\n", "11, \n", "1\n", "-\n", "2, \n", "1\n", "-\n", "2, \n", "1\n", "-\n", "2, \n", "1\n", "-\n", "2, \n", "1\n", "-\n", "2]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/srv/conda/lib/python3.7/site-packages/ipykernel_launcher.py:4: DeprecationWarning: fractions.gcd() is deprecated. Use math.gcd() instead.\n", " after removing the cwd from sys.path.\n" ] } ], "source": [ "q_list = [Rational(n//2, n) for n in range(2, 12)]\n", "print(sorted(q_list))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 8\n", "\n", "The [Wallis formula for $\\pi$](http://mathworld.wolfram.com/WallisFormula.html) is\n", "\n", "\\begin{equation}\n", " \\pi = 2 \\prod_{n=1}^{\\infty} \\frac{ (2 n)^2 }{(2 n - 1) (2 n + 1)}.\n", "\\end{equation}\n", "\n", "We can define a partial product $\\pi_N$ as\n", "\n", "\\begin{equation}\n", " \\pi_N = 2 \\prod_{n=1}^{N} \\frac{ (2 n)^2 }{(2 n - 1) (2 n + 1)},\n", "\\end{equation}\n", "\n", "each of which are rational numbers.\n", "\n", "Construct a list of the first 20 rational number approximations to $\\pi$ and print them out. Print the sorted list to show that the approximations are always increasing. Then convert them to floating point numbers, construct a `numpy` array, and subtract this array from $\\pi$ to see how accurate they are." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [], "source": [ "def wallis_rational(N):\n", " \"\"\"\n", " The partial product approximation to pi using the first N terms of Wallis' formula.\n", " \n", " Parameters\n", " ----------\n", " \n", " N : int\n", " Number of terms in product\n", " \n", " Returns\n", " -------\n", " \n", " partial : Rational\n", " A rational number approximation to pi\n", " \"\"\"\n", " \n", " partial = Rational(2,1)\n", " for n in range(1, N+1):\n", " partial = partial * Rational((2*n)**2, (2*n-1)*(2*n+1))\n", " return partial" ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[\n", "8\n", "-\n", "3, \n", "128\n", "---\n", "45, \n", "512\n", "---\n", "175, \n", "32768\n", "-----\n", "11025, \n", "131072\n", "------\n", "43659, \n", "2097152\n", "-------\n", "693693, \n", "8388608\n", "-------\n", "2760615, \n", "2147483648\n", "----------\n", "703956825, \n", "8589934592\n", "----------\n", "2807136475, \n", "137438953472\n", "------------\n", "44801898141, \n", "549755813888\n", "------------\n", "178837328943, \n", "35184372088832\n", "--------------\n", "11425718238025, \n", "140737488355328\n", "---------------\n", "45635265151875, \n", "2251799813685248\n", "----------------\n", "729232910488125, \n", "9007199254740992\n", "----------------\n", "2913690606794775, \n", "9223372036854775808\n", "-------------------\n", "2980705490751054825, \n", "36893488147419103232\n", "--------------------\n", "11912508103174630875, \n", "590295810358705651712\n", "---------------------\n", "190453061649520333125, \n", "2361183241434822606848\n", "----------------------\n", "761284675790187924375, \n", "151115727451828646838272\n", "------------------------\n", "48691767863540419643025]\n", "[\n", "8\n", "-\n", "3, \n", "128\n", "---\n", "45, \n", "512\n", "---\n", "175, \n", "32768\n", "-----\n", "11025, \n", "131072\n", "------\n", "43659, \n", "2097152\n", "-------\n", "693693, \n", "8388608\n", "-------\n", "2760615, \n", "2147483648\n", "----------\n", "703956825, \n", "8589934592\n", "----------\n", "2807136475, \n", "137438953472\n", "------------\n", "44801898141, \n", "549755813888\n", "------------\n", "178837328943, \n", "35184372088832\n", "--------------\n", "11425718238025, \n", "140737488355328\n", "---------------\n", "45635265151875, \n", "2251799813685248\n", "----------------\n", "729232910488125, \n", "9007199254740992\n", "----------------\n", "2913690606794775, \n", "9223372036854775808\n", "-------------------\n", "2980705490751054825, \n", "36893488147419103232\n", "--------------------\n", "11912508103174630875, \n", "590295810358705651712\n", "---------------------\n", "190453061649520333125, \n", "2361183241434822606848\n", "----------------------\n", "761284675790187924375, \n", "151115727451828646838272\n", "------------------------\n", "48691767863540419643025]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/srv/conda/lib/python3.7/site-packages/ipykernel_launcher.py:4: DeprecationWarning: fractions.gcd() is deprecated. Use math.gcd() instead.\n", " after removing the cwd from sys.path.\n" ] } ], "source": [ "pi_list = [wallis_rational(n) for n in range(1, 21)]\n", "print(pi_list)\n", "print(sorted(pi_list))" ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.47492599 0.29714821 0.21587837 0.16943846 0.1394167 0.11842246\n", " 0.10291902 0.09100266 0.08155811 0.07388885 0.06753749 0.06219131\n", " 0.05762923 0.05369058 0.05025576 0.04723393 0.04455483 0.0421633\n", " 0.04001539 0.03807569]\n" ] } ], "source": [ "import numpy\n", "print(numpy.pi-numpy.array(list(map(float, pi_list))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The shortest published Mathematical paper" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A [candidate for the shortest mathematical paper ever](http://www.ams.org/journals/bull/1966-72-06/S0002-9904-1966-11654-3/S0002-9904-1966-11654-3.pdf) shows the following result:\n", "\n", "\\begin{equation}\n", " 27^5 + 84^5 + 110^5 + 133^5 = 144^5.\n", "\\end{equation}\n", "\n", "This is interesting as\n", "\n", "> This is a counterexample to a conjecture by Euler ... that at least $n$ $n$th powers are required to sum to an $n$th power, $n > 2$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 1\n", "\n", "Using python, check the equation above is true." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Does the LHS 61917364224 equal the RHS 61917364224? True\n" ] } ], "source": [ "lhs = 27**5 + 84**5 + 110**5 + 133**5\n", "rhs = 144**5\n", "\n", "print(\"Does the LHS {} equal the RHS {}? {}\".format(lhs, rhs, lhs==rhs))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 2\n", "\n", "The more interesting statement in the paper is that\n", "\n", "\\begin{equation}\n", " 27^5 + 84^5 + 110^5 + 133^5 = 144^5.\n", "\\end{equation}\n", "\n", "> [is] the smallest instance in which four fifth powers sum to a fifth power.\n", "\n", "Interpreting \"the smallest instance\" to mean the solution where the right hand side term (the largest integer) is the smallest, we want to use python to check this statement.\n", "\n", "You may find the `combinations` function from the `itertools` package useful." ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [], "source": [ "import numpy\n", "import itertools" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `combinations` function returns all the combinations (ignoring order) of `r` elements from a given list. For example, take a list of length 6, `[1, 2, 3, 4, 5, 6]` and compute all the combinations of length 4:" ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[(1, 2, 3, 4), (1, 2, 3, 5), (1, 2, 3, 6), (1, 2, 4, 5), (1, 2, 4, 6), (1, 2, 5, 6), (1, 3, 4, 5), (1, 3, 4, 6), (1, 3, 5, 6), (1, 4, 5, 6), (2, 3, 4, 5), (2, 3, 4, 6), (2, 3, 5, 6), (2, 4, 5, 6), (3, 4, 5, 6)]\n" ] } ], "source": [ "input_list = numpy.arange(1, 7)\n", "combinations = list(itertools.combinations(input_list, 4))\n", "print(combinations)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can already see that the number of terms to consider is large.\n", "\n", "Note that we have used the `list` function to explicitly get a list of the combinations. The `combinations` function returns a *generator*, which can be used in a loop as if it were a list, without storing all elements of the list." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How fast does the number of combinations grow? The standard formula says that for a list of length $n$ there are\n", "\n", "\\begin{equation}\n", " \\begin{pmatrix} n \\\\ k \\end{pmatrix} = \\frac{n!}{k! (n-k)!}\n", "\\end{equation}\n", "\n", "combinations of length $k$. For $k=4$ as needed here we will have $n (n-1) (n-2) (n-3) / 24$ combinations. For $n=144$ we therefore have" ] }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of combinations of 4 objects from 144 is 17178876.0\n" ] } ], "source": [ "n_combinations = 144*143*142*141/24\n", "print(\"Number of combinations of 4 objects from 144 is {}\".format(n_combinations))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 2a\n", "\n", "Show, by getting python to compute the number of combinations $N = \\begin{pmatrix} n \\\\ 4 \\end{pmatrix}$ that $N$ grows roughly as $n^4$. To do this, plot the number of combinations and $n^4$ on a log-log scale. Restrict to $n \\le 50$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [], "source": [ "from matplotlib import pyplot\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [], "source": [ "n = numpy.arange(5, 51)\n", "N = numpy.zeros_like(n)\n", "for i, n_c in enumerate(n):\n", " combinations = list(itertools.combinations(numpy.arange(1,n_c+1), 4))\n", " N[i] = len(combinations)" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "image/png": 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GAn2BpcDiYtQnSZLKS4wwd27rDuunnkrPKyvhRz9KhxcHDcq2RpW3YnWybwJ+Cfym5UEIoSvwK+B0UphuDiFMBQYBD8YY/18I4Vbg3iLVKEmScmzt2nTTYsuqvRdegC5d4OST4frr0w7rgw/Oukp1FkUJ2THGmSGE/ps8HgosjDE+DxBCuIXUxV4ErFz3njVb+8wQwnhgPEC/fv0KXLEkScqDVaugqSmF6ttug9dfTwcVTz8d/vEf02aQ/ffPukp1RlnOZPchBeoWi4HjSeMjvwghnATM3No3xxgnAZMAKioqYgfWKUmSSsiHH8If/pA61tOmwTvvwO67w6hR6eDiqFGw115ZV6nOruQOPsYYPwQuyroOSZJUOpYtgzvuSMF6+vQUtPfZJ922WF2dOte77pp1lVKrLEP2K8CGk1F91z1rsxDCGGDMwIEDC1mXJEkqAW++CVOmpGB9771pNOTjH4cLL0zB+uST0/XmUinKMmQ3A4eFEA4hhevzgS+25wNijNOAaRUVFRd3QH2SJKnIXn65ddXeAw+kw4yHHgqXXZaC9dCh6TCjVOqKtcLvt8AIoHcIYTHwvRjjf4QQLgXuIq3wuzHG+FQ7P9dOtiRJOTd/fuuqvTlz0rNjjoEJE1KwPvpod1grf0KM+T8zWFFREWfPnp11GZIkqQ1ihEceaV21N29eej5sWArV48aB/TOVqhDCnBhjxfbeV3IHHyVJUvlZswYefLC1Y/3yy+nq8hEj0nXmY8dCnz5ZVykVTq5DtuMikiSVrpUr4b77UqieMiUdZOzRA844A666Ku2w3m+/rKuUOkauQ7YHHyVJKi0ffAB33dW6w/rdd2GPPWD06DQKMnIk7Lln1lVKHS/XIVuSJGXvL3+B229Pwfr3v4fly1OH+nOfS8H61FOhZ8+sq5SKK9ch23ERSZKy8dprrTusm5pg9eo0U33xxeng4kknwS65ThnSznG7iCRJapPnn2/dYT1rVtoScthhcN55KVhXVLjDWuXP7SKSJGmnxAhPP926EeSxx9LzIUPg+99PoyCDB7vDWtoSQ7YkSVpv7VqYPbs1WC9YkEL0Zz4DP/lJCtYDBmRdpVT6ch2yncmWJGnnrV4N99+fQvVtt8HixWmeuqoKvvGNtMP6oIOyrlLKF2eyJUnqhJYvh3vvbd1hvXRp2gAycmTqVo8eDfvsk3WVUulxJluSJG3kvfdg+vQUrO+8M73ea6+Nd1jvvnvWVUrlwZAtSVIZW7o0XQrT2Ah/+AOsWAH77w/nn5+C9SmnQPfuWVcplR9DtiRJZebVV9NsdWMjzJgBa9ZAv35QW5uC9QknQNeuWVcplbdch2wPPkqSlCxc2LrD+qGH0rPDD4dvfzsF609/2lV7UjF58FGSpByKEZ54ojVYP/54el5RkS6GGTcOjjgi2xqlcuTBR0mSyszatfDww607rJ97LnWnTzoJrr0Wzj0XPvGJrKuUBIZsSZJK2qpVMHNm6w7rV1+Fbt3gtNPSKMg558CBB2ZdpaRNGbIlSSoxH30Ed9+dRkGmToW334bddoOzzkpjIKNHQ69eWVcpaVsM2ZIklYB33027q1t2WH/wAey9N4wZkw4unnFGCtqS8iHXIdvtIpKkPFuyJHWqGxvhnntg5co0+vGlL6VgPWJEGg2RlD9uF5EkqYgWLWrdCHL//ekwY//+KVRXV8OwYe6wlkqZ20UkSSoRzzzTGqybm9OzI4+Ef/zHFKyPPdYd1tL21NXVUVlZSVVV1fpnTU1NNDc3c/nll2dY2ZYZsiVJKrAY4bHHWlftPf10ej50KPzoR+nw4qBB2dYo5U1lZSU1NTU0NDRQVVVFU1PT+telyJAtSVIBrFkDs2alUD15Mrz4InTpAiefDJdcknZYH3xw1lVK+bClrjVAdXU1NTU11NbWUl9fvz5wlyJDtiRJO2jlSpgxo3WH9RtvQPfuaYf1hAlpM8j++2ddpZQ/2+paH3jggVx99dVMmDChZAM2GLIlSWqXDz+Eu+5K3epp0+Cdd2D33eHss9MYyKhRsNdeWVcp5cO25qwbGho261oD1NfXM2HCBOrr66mqqirZoG3IliRpO955B+64I3Wsp09Pl8Xsu28aAamuTp3rXXfNukopf7bVsa6qqqK2tnZ91xrY6GtVVVUbvS41uQ7Z7smWJHWUN95o3WF9773pevOPfxy+8pUUrE8+GXbJ9X9FpeJq75x1U1PTRl3rN954Y6NAXVVVRUNDA83NzYbsQosxTgOmVVRUXJx1LZKk/HvppdZVew88kLaEHHooXHZZCtZDh6bDjJLarz1z1pt2tFu61ueff/5Gn1nK4yJeRiNJ6tTmzWvdCDJnTnp2zDGtl8McdZQ7rKX22NacdUvQ3nTOetNnLe8txZ3YXkYjSdIWxAiPPNK6w3r+/PR82DCoq0uHF51ClHZcR81Zl3LXeksM2ZKksrdmDfzpT60d65dfTleXjxgBf/d3MHYs9OmTdZVSvrR3M0g5zFm3hyFbklSWVqyA++5LwXrKFFiyBHr0gNNPh+9/P+2w3m+/rKuU8qs9HetymbNuD0O2JKlsfPAB/P73KVjffju8+y7ssQeMHp3GQM46C/bcM+sqpXwpRMe6qqpq/fvLsWu9JYZsSVKu/eUv6VKYxsZ0Sczy5alD/bnPpYOLp54KPXtmXaWUX4XqWJfDnHV7GLIlSbnz2mtpBKSxEZqaYPXqNFN98cUpWJ94ojuspfayY11Y/itIkpQLzz/fusN61qy0JeSww+Cb30yjIBUV7rCWdoYd68JyT7YkqSTFCE891boR5LHH0vMhQ1K3etw4OPJId1hL7dXePdYbBuq87LLuSO7JliTlTozQ3Ny6w3rBghSiTzgBfvrTFKwPOSTrKqV8s2NdHCX3G2shhBEhhPtDCDeEEEZkXY8kqWOtXp3mqr/2NejXD44/PgXqQw6BG26AV19NV5x/4xsGbKk96urqaGpq2ujZpjPWV1555WaBe8MZ6w3fv6UZa21DjLHD/wBuBN4Entzk+UjgGWAhcMW6Z8OB6cBNwMC2fP5xxx0XJUn5sXx5jLffHuNXvhJj794xQow9e8Z47rkx/uY3Mb79dtYVSvl33333xd69e8f77rtvi68nTJgQgThhwoQ2vV8JMDu2IZ8WZSY7hHAy8D7wmxjjUeuedQWeBU4HFgPNwBeA+THGtSGEA4GfxRgv2N7nO5MtSaXvvfdg+vQ0X33HHen1XnulHdbnnQdnngm77551lVK+bGu++vLLL9/iLLUz1junrTPZRelkrwvy/dmgkw18Brhrg9ffAb6zwevuwK3b+LzxwGxgdr9+/Qr7vyiSpIJ4660Yf/3rGMeMibFHj9SxPuCAGMePj3H69BhXrMi6Qinf2tJ9tmNdWLSxk53lwcc+wKINXi8Gjg8hVANnAnsDv9zaN8cYJwGTIHWyO7BOSVI7vPIK3HZbOrj4xz/CmjVp1rq2Nm0FOeEE6No16yqlfNmRHdYt73GPdTZKbrtIjLERaGzLe0MIY4AxAwcO7NiiJEnbtHBh66q9hx5Kz444Ar797RSsP/1pV+1JO6O9G0EAt4JkLMvtIq8AB2/wuu+6Z20WY5wWYxzfq1evghYmSdq2GGHuXLjqKjjmmHQpzLe/DatWwQ9+AE8/nf74wQ/guOMM2FJbbG0bSF1d3fpuc1s3ggBuBclaW2ZKCvEHm89k7wI8DxxCmr+eCxy5I5/tdhFJ6nhr1sT44IMxfvObMQ4YkOarQ4jxpJNi/NnPYnzxxawrlPLN+ep8oMS2i/wWGAH0Bt4Avhdj/I8QwijgWqArcGOM8Qft/NyWcZGLFyxYUOCqJUmrVqW56sbGNGf92mvQrRucemoaAznnHDjwwKyrlMrH1raBbO1rbgQpvrZuF/FadUnSRj76CO6+OwXrqVPhL3+B3XaDs85Kwfrss8EpPWnHbG/lHsCVV165fr564sSJ69+zrZlsFU9bQ3bJ3fgoSSq+d9+F3/4W/s//gf33h7FjYcqUtMN68mRYsgRuvRW++EUDtrQzWg4wtsxNt4TlysrK9a+dry4Pue5kOy4iSTtuyZLUqW5shHvugZUr0+jHuHGpYz1iRBoNkdR2belUb++CGLvVpa1TdLKj20UkqV0WLYLrr08B+mMfg69+NW0BufRSeOCBtOO6vh5OP92ALe2I7XWqgY1W7tXW1q4P0Hary0uuO9ktnMmWpK175pk08tHYCC3/rT7yyNStrq6GY491xZ5USNs6vNiWr6u0dYpOdghhTAhh0rJly7IuRZJKRozw6KMwYUIK04cfDt/5TgrSP/5xCt1PPgkTJ8KQIQZsqb22tc8att6pbnlfywjIxIkT1+++3vTzlH+5DtmOi0hSsmZNGvf4xjdgwIB0w+IPfwgHHJDGQ15+Gf7853RhzCc/mXW1Ur7t6OFFcCSkM3FcRJJyauVKmDGjdYf1G29A9+5pnrq6GsaMSZtCJLWPhxe1LZ1iXESSOpsPP0zz1V/6UtoEcuaZ8N//DSefnFbwLVkCt98OX/mKAVvaUR5eVCHkupPtCj9JncE778Add6SO9fTp6bKYffdNty2OG5c617vumnWVUnnx8KK2plN0sp3JllSu3ngDJk2CkSPTXPVf/RU89BD89V+nndavvw6//nUK2gZsqX22d3ARPLyonZfrkC1J5eTFF+HnP0+jHwcdBH/zN7BwIVx2GcyalXZc/+pXcOqp7rCWdkZbxkE8vKidletxkRYefJSUV/PmpTGQxkZ45JH07Jhj0sHFcePg6KNdsSd1hG2Ne3h4UdvSKcZF3JMtKW9ihNmz4bvfTfurBw+Gf/qntBWkrg4WLIC5c+F730th24Attd/OjoPYqVYh2MmWpA7WssO65dbFRYuga9d0tXl1NYwdC336ZF2lVD7a0on24KJ2VFs72bsUoxhJ6mxWrID77kuhesqUtFqvR4+0cu/qq2H0aNhvv6yrlPJpe3usWzrPbR0HqaqqchxEBZfrcRFJKiXvvw+33gpf/GLaCDJqFPzud+mgYkMDvPVWCtxf/rIBW9oZO7PHGhwHUXE4LiJJO+Htt9PlL42NcNddsHw59O6dRkCqq1PA7tEj6yql8uMea2XFcRFJ6iCvvZauMW9sTNear14NffvC+PEpWH/2s7CL/3aVdkhbrjSHjTvVEyZM2Ooea8dBlJVcj4u4XURSsTz/PPz0pylA9+kDf/u38PLL8K1vwcMPp7++7joYPtyALe2MtoyCtDx3j7VKmeMikrQFMcJTT7XusJ47Nz3/1KdSt7q6Go44whV7Ukdo6yiIe6yVhU6xJ1uSCmntWvjzn+GKK2DQoHQRzFVXwZ57ws9+lrrZjzyS9loPHmzAltqrLfurYduHFsFOtfLBTrakTm31arj//tStnjwZXnkljXucckrrDuuPfSzrKqXy0NYOtIcWVco8+ChJW7F8OdxzTwrWU6fC0qWw664wcmQK1mefDfvsk3WVUvnZ3v5q8NCiyochW1Kn8N57MH16CtZ33JF2Wu+1F4wZk4L1mWfC7rtnXaVU/ra1FQS2PQpiyFaeOC4iqWwtXZo61Y2NcPfd6RbGAw6Ac8+FcePSSEj37llXKZWHtq7ecxREeee4iKRO6ZVXWndY//GPsGYN9OsHtbWpY33CCdC1a9ZVSuWnZfXeluatWzgKos7EkC0p9xYubF219+c/p2eHHw7f/nYK1p/+tJtApI7WlnlrR0HUmeR6XCSEMAYYM3DgwIsXLFiQdTmSiiRGePzxtA2ksRGeeCI9P+64FKrHjUs7rCXtvLaOgbS48sor189bT5w4sZilSkXRKfZkxxinxRjH9+rVK+tSJHWwtWth1qx0w+LAgTBkCEycmLaAXHstvPgizJ4N3/2uAVsqpLbewNjyta3dwih1No6LSCpZq1aluerGxjRn/dpr0K0bnHpqujDmnHPgwAOzrlIqb20ZAwHnraVN5bqTLan8fPQRTJkCF16YAvTpp8N//mc6sHjzzbBkSVrFd/HFBmxpZ7T19kXY/g2M4C2M0qZyPZPdwhV+Ur69+27aXd3YmAL0Bx/A3nu37rA+4wzYbbesq5TKS1tvX9zwva7dk1zhJ6nELVnSusP6nntg5cp0ffmXvpTWBm23AAAZ6ElEQVSC9YgRaTREUsdwDETqWIZsSUWzaFHrRpD770+HGQ85BP7u71KwHjYMujjEJhXN9m5fBNfuSTvKcRFJHeqZZ1p3WLf8Y3rkka2r9oYMcYe1VEjtWbnnGIjUfo6LSMpEjPDYY63B+umn0/OhQ+HHP07B+pOfzLZGqZy15eZFcAxE6miGbEk7bc2atMO6JVi/9FIa+xg+HC65BM49Fw4+OOsqpc6hrbPWjoFIHctxEUk7ZOVKaGpKoXrKFHjjDejePa3cq65Om0H23z/rKqXy0N5bF8GbF6WOkusbH0MIu4cQZocQRmddi6RWH36YDi5+6UtwwAEwcmTaXT18ONxyS9oYcvvt8JWvGLClQmrPrYstX/fmRSlbRRkXCSHcCIwG3owxHrXB85HAdUBX4N9jjD9e96VvAw2bfZCkonvnnRScGxvh979Pl8Xsu2/rwcXTT4eePbOuUipvbR0BAWetpVJRrJnsm4BfAr9peRBC6Ar8CjgdWAw0hxCmAn2ApwH/sy1l5I030ghIYyPcey+sXg0f/3jqUFdXw8knwy6e6JCKqi3r9sBZa6lUFG0mO4TQH7i9pZMdQvgMcFWM8cx1r7+z7q17ALsDg4GPgHExxrXb+mxnsqWd9+KLrTus//SntCVk4MAUqqurobLSHdZSIbV3ztp1e1JpyMMKvz7Aog1eLwaOjzFeChBCuBB4a2sBO4QwHhgP0K9fv46tVCpDMcK8eSlUT54MjzySnh97LHzveylYH3WUO6yljtLWVXvgCIiURyX7G74xxpu28/VJwCRInexi1CTlXYwwZ07rqr1nnknPP/MZ+MlP0oz1oYdmW6PUWbRnztoRECl/sgzZrwAbbs7tu+5Zm4UQxgBjBg4cWMi6pLKyZg088EBrx3rRIujaFaqq4Otfh7Fj07y1pOJr65z1lsZHWjrakkpTlhOWzcBhIYRDQgjdgfOBqe35gBjjtBjj+F69enVIgVJerVgB06fDxRfDQQfBiBEwaRJ86lNw003w5ptw991QW2vAlgqlrq5us1V5TU1N1NXVbfV7XLUnla+ihOwQwm+BWcCgEMLiEMJFMcbVwKXAXcA8oCHG+FQ7P3dMCGHSsmXLCl+0lDPvvw+33gpf/GLaUT1qFPzud3DaafC//5t2WE+ZAl/+clrBJ6mwdmSXdctc9cSJE9ePjhi0pfLgjY9Sjr39NkyblsZA7roLli+H3r3TCEh1NZx6KvTokXWVUufRng0gO3KLo6TstXW7iCFbypnXXoPbbksz1k1Naea6b9/Wy2FOPNEd1lKWvM5cKm+5vla9rRwXUWfx/PPwL/8Cn/0s9OkDf/u38PLL8K1vwcMPp7++7ro0e23AlgrDGWtJOyPXIduDjypXMcKTT8LEiTBkSFqr961vpSvNJ06Ep56C+fPhRz9Kl8S4y1oqPGesJe2M7fa8QgifiDG+VIxipM5s7Vpobm7dYb1wYQrPJ5wAP/1pGgU55JCsq5Q6j/bssQZ3WUva2HZnskMITwMHAPOBx4EnWv4cY3y3wyvcdm0te7IvXrBgQZalSDtk9WqYOTOF6ttug1deSeMep5ySZqzHjoWPfSzrKqXOzRlrSRsq6MHHEEIPYDBwNHAMcNS6P6+IMWbeW/Pgo/Jk+XK4554UrKdOhaVLYdddYeTI1K0ePRr22SfrKiVB+7aFSOoc2hqy23REKsa4Ang0hLAQ+AjoDXyS1NGWtB3vvQd33pmC9Z13pp3WvXqlQF1dDWeeCbvvnnWVUvnakXV5G85Yt9yuuOFrSdqW7R58DCEMCiF8I4RwH/Ag8BngZuDwGOO5HV2glFdvvQW//jWMGZMuhzn/fJgxI10W8/vfp1sX//u/U8g2YEsdq72HGGHbM9aStD1tmcleCzwKXANMWdfVLgnOZKvULF7cusP6j39Mhxk/8YnWHdYnnABdu2ZdpdQ5OfohqRAKNpMdQvgbWmewjwCWkg4/PkE6/Hjbzpe7c5zJVpYWLGjdCPLww+nZEUekYF1dDZ/6lCv2pFLhIUZJO6tgM9kxxv+3yQf3pfUA5HlA5iFbKqYYYe7cdJV5Y2PaZw1QUQE//GHqWB9+eLY1StrcphfFtMxZS1JHaPfdcDHGxcBiYHrhy5FK09q18NBDrR3rF16ALl3gpJPg2mvh3HPTWIikjrUjBxhb3uMhRknFlOsbH6WOtGoV3H13usK8T590pfn116cu9b/9G7z2WjrI+PWvG7ClYtmRA4zgIUZJxdemPdmlyoOPKrSPPoI//CF1q6dNg7/8BXbbDUaNSmMgZ5+dVu9Jyo4HGCVlqaB7sktVjHEaMK2iouLirGtRfi1bBnfckYL19Onw4YfpMpgxY9LBxTPOSJfFSCoNVVVV1NbWrj/AaMCWVIpyHbKlHfXmm+m2xcbGdPviqlXp+vIvfzkF6+HDoVu3rKuUtCUeYJSUB4ZsdRovv9y6EeSBB9JhxkMOga99LQXrYcPSYUZJHc8DjJLKnZFCZW3+fPjRj6CyMh1OvOwyePtt+Kd/gsceg+eeg3/5l3RJjAFbKh4PMEoqd7k++NjCy2jUIkZ49NHWVXvz5qXnxx/feuviYYdlW6OkxAOMkvKoUxx83GC7SNalKENr1sCDD6ZQPXkyvPRSurp8+PC0fu/cc6Fv36yrlLQpDzBKKmd2spVLK1fCffelUH3bbekgY/fuaRNIdXXaDNK7d9ZVStoWO9mS8qhTdLLVuXzwAdx1V+pY3357Wr23xx5pd/W4cWmX9Z57Zl2l1Hns6OHFlvd5gFFSOfOol0raX/4C//VfqTu9//5w3nlpl3V1dbosZskSuOUW+PznDdhSse3o4UXwAKOk8ue4iErO66/DlCmpY33ffbB6dbrWfNy4FK5POgl28fdgpJLgyIekzsZxEeXKCy+07rB+8MG0JWTgQPjGN1Kwrqx0xZ5Uijy8KElbZshWJmJM6/VaVu09+mh6fuyxcNVVKVgfeSSEkGmZkrbD2xclacsM2SqaGGH27NZg/eyz6fkJJ6QLYcaNgwEDsq1RUtt5eFGSts7fgFeHWr0aZsyAr3893bg4dCj85CfQrx/867/CK6/An/4E//APBmyp2Orq6tYfWmzR1NREXV1dm77fw4uStHW5Pvi4wWU0Fy9YsCDrcrTOihVw772pWz1lCrz1FvTsCWeemcZARo+GfffNukpJm3aiN30tSdpcWw8+5jpkt3C7SPbefz+t1ps8Oe2wfu892GuvFKjHjYORI9NOa0mlxe0gktQ+bhdRh3v77bSrurExXRKzYkW6ZfHzn08d61NOgR49sq5S0ra4HUSSOoYhW+3y6qvpGvPGxjRrvWYNHHwwXHJJ6lifeCJ07Zp1lZLayu0gktQxDNnarueeS6F68mSYNSs9GzQILr88dayPO85Ve1IeuR1EkjqO20W0mRjhiSfg+99Pe6sHDkyBesUK+Od/hqefhvnz4Yc/hIoKA7aUhZ3dDAJuB5GkjuTBRwGwdi08/HDrDuvnnkvh+bOfTd3qceOgf/+sq5TUws0gkpQNDz5qu1avhpkzW0dBXn0VdtkFTj01da7HjoUDD8y6Sklb0tJ1djOIJJUmQ3Yns3w53H13CtZTp6YNIbvuCmedlbrVo0fD3ntnXaWktnAziCSVLkN2J/Duu3Dnnalbfeedaad1r14pUJ93XrokZrfdsq5SUnu5GUSSSpchu0y99VbqVDc2ps71ypVwwAFwwQWpY11VBd27Z12lpB3lZhBJKm0lt10khHBECOGGEMKtIYTarOvJk8WL4Re/SJfAHHggXHQRPPkk/N//C/ffn2aub7ghda4N2FI2CrEVBNwMIkmlrijbRUIINwKjgTdjjEdt8HwkcB3QFfj3GOOPN/haF+A3Mca/2t7nd+btIs8+m8ZAGhvTdhCAwYPTRpDqahgyxBV7UilxK4gk5VupbRe5Cfgl8JuWByGErsCvgNOBxUBzCGFqjPHpEMI5QC3wX0WqLzdihLlzW1ftPfVUel5RkfZWjxsHhx+ebY2Sts6tIJLUORQlZMcYZ4YQ+m/yeCiwMMb4PEAI4RZgLPB0jHEqMDWEcAfwP1v6zBDCeGA8QL9+/Tqo8tKwdi089FBrsH7hBejSBU46Ca67Ds49F8r8l0AqK24FkaTyl+XBxz7Aog1eLwaODyGMAKqBHsCdW/vmGOMkYBKkcZGOKzMbq1bBjBkpVN92G7z+OnTrBqefDt/9LpxzTjrIKCl/3AoiSeWv5LaLxBhnADPa8t4QwhhgzMCBAzuypKL58EP4wx/SjPXUqfDOO2m13qhRab561Ki0ek9SfrkVRJI6hyxD9ivAwRu87rvuWZvFGKcB0yoqKi4uZGHFtGwZ3HFH6lhPn56C9j77pNsWx42DM85Il8VIKg/b2gpiyJak8lGU7SIA62ayb2/ZLhJC2AV4FjiVFK6bgS/GGJ9q72fnbbvIm2/ClCmpY33PPWk05GMfS6G6uhqGD0+jIZKyV1dXR2Vl5UYBuKmpiebmZi6//PIMK5MkZaGt20WKsic7hPBbYBYwKISwOIRwUYxxNXApcBcwD2hob8AOIYwJIUxatmxZ4YsusJdfTocUhw+Hgw6C8ePhmWfg61+HBx+EV16Bf/1XOO00A7ZUSiorK6mpqVm/27pl3KOysjLjyiRJpaxoneyOVKqd7PnzWzeCzJmTnh11VOsO62OOcYe1lActwdqVe5KkUtuT3SnECI8+2hqs581Lz48/Hq65Jo2DHHZYtjVKaj9X7kmS2ivXIbsUtousWZPGPRob04z1Sy9B165pLORv/zbtsO7bN7PyJBWAK/ckSe3luMgOmj8ffv7ztMP6zTehe/e0CaS6GsaMgd69i1qOpA7iNeiSpA05LtLB3n0X/ud/4Oyz0xjIqFGw555ZVyWp0Fy5J0naEbnuZG8wLnLxggULivpjxwgrVkDPnkX9YSVJkpShklrh11FijNNijON7ZXANYggGbKnU1NXVrV+116KpqYm6urqMKpIkdVa5DtmStCF3WkuSSoUz2ZLKRsu8tDutJUlZy3UnO083Pkoqjg13WtfW1hqwJUmZyHXIznImW1Jp2nSn9aYz2pIkFUOuQ7YkbWjDHdYTJ05cPzpi0JYkFZshW1LZ2NZOa0mSiinXe7JbZHHjoyRJkjqfTrEn24OPkiRJKkW5DtkefJTyxwtjJEmdQa5DtqT88cIYSVJn4GU0korKC2MkSZ2BnWxJReeFMZKkcmfIllR0XhgjSSp3uQ7ZbheR8scLYyRJnUGuQ7bbRaT88cIYSVJn4GU0kiRJUht1istoJEmSpFJkyJa0nhfFSJJUGIZsSet5UYwkSYXhZTSS1vOiGEmSCsNOtqSNeFGMJEk7L9ch2z3ZUuF5UYwkSTsv1yHbPdlSYXlRjCRJhZHrkC2psLwoRpKkwvAyGkmSJKmNvIxGkiRJyoghW5IkSSowQ7YkSZJUYIZsqYR5zbkkSflkyJZKmNecS5KUT16rLpUwrzmXJCmf7GRLJc5rziVJyh9DtlTivOZckqT8KcmQHUI4N4TwbyGE34UQzsi6HikrXnMuSVI+FS1khxBuDCG8GUJ4cpPnI0MIz4QQFoYQrgCIMd4WY7wYuAT4fLFqlEqN15xLkpRPRbtWPYRwMvA+8JsY41HrnnUFngVOBxYDzcAXYoxPr/v6T4GbY4yPbOuzvVZdkiRJxVBy16rHGGcCb2/yeCiwMMb4fIxxJXALMDYk1wDTtxawQwjjQwizQwizlyxZ0rHFS5IkSe2Q9Ux2H2DRBq8Xr3v2d8BpwOdCCJds6RtjjJNijBUxxor999+/4yuVJEmS2qgk92THGK8Hrt/e+0IIY4AxAwcO7PiiJEmSpDbKupP9CnDwBq/7rnvWJjHGaTHG8b169Sp4YZIkSdKOyjpkNwOHhRAOCSF0B84HpmZck7SRurq6zVbmNTU1UVdXl1FFkiSp1BVzhd9vgVnAoBDC4hDCRTHG1cClwF3APKAhxvhUOz5zTAhh0rJlyzqmaAmorKzcaDd1y+7qysrKjCuTJEmlqmgr/DqSK/zU0VqCdW1tLfX19RvtrpYkSZ1Hya3w6wh2slUsVVVV1NbWcvXVV1NbW2vAliRJ25TrkO3BRxVLU1MT9fX1TJgwgfr6eq81lyRJ25TrkC0VQ8uoSENDAxMnTqShoWGjGW1JkqRNGbKl7Whubt5oBruqqoqGhgaam5szrkySJJWqXB983OAymosXLFiQdTmSJEkqc53i4KMz2ZIkSSpFuQ7ZkiRJUikyZEuSJEkFluuQ7Z5sSZIklaJch2xnsiVJklSKch2yJUmSpFJkyJYkSZIKLNch25ns8lRXV7fZbYpNTU3U1dVlVJEkSVL75DpkO5NdniorKze6trzlWvPKysqMK5MkSWqbXbIuQNpUy7XlNTU11NbWUl9fv9G15pIkSaUu151sla+qqipqa2u5+uqrqa2tNWBLkqRcMWSrJDU1NVFfX8+ECROor6/fbEZbkiSplBmyVXJaZrAbGhqYOHHi+tERg7YkScqLXIdst4uUp+bm5o1msFtmtJubmzOuTJIkqW1CjDHrGnZaRUVFnD17dtZlSJIkqcyFEObEGCu2975cd7IlSZKkUmTIliRJkgrMkC1JkiQVmCFbkiRJKjBDtiRJklRghmxJkiSpwAzZkiRJUoHlOmR7GY0kSZJKUa5DdoxxWoxxfK9evbIuRZIkSVov1yFbkiRJKkWG7E6orq6OpqamjZ41NTVRV1eXUUWSJEnlxZDdCVVWVlJTU7M+aDc1NVFTU0NlZWXGlUmSJJWHXbIuQMVXVVVFQ0MDNTU11NbWUl9fT0NDA1VVVVmXJkmSVBbsZHdSVVVV1NbWcvXVV1NbW2vAliRJKiBDdifV1NREfX09EyZMoL6+frMZbUmSJO04Q3Yn1DKD3dDQwMSJE9ePjhi0JUmSCsOQ3Qk1NzdvNIPdMqPd3NyccWWSJEnlIcQYs65hp1VUVMTZs2dnXYYkSZLKXAhhToyxYnvvK7lOdghhQAjhP0IIt2ZdiyRJkrQjihKyQwg3hhDeDCE8ucnzkSGEZ0IIC0MIVwDEGJ+PMV5UjLokSZKkjlCsTvZNwMgNH4QQugK/As4CBgNfCCEMLlI9kiRJUocpSsiOMc4E3t7k8VBg4brO9UrgFmBsMeqRJEmSOlKWM9l9gEUbvF4M9Akh7BdCuAH4VAjhO1v75hDC+BDC7BDC7CVLlnR0rZIkSVKbldy16jHGpcAlbXjfJGASpO0iHV2XJEmS1FZZdrJfAQ7e4HXfdc/aLIQwJoQwadmyZQUtTJIkSdoZWYbsZuCwEMIhIYTuwPnA1PZ8QIxxWoxxfK9evTqkQEmSJGlHFGuF32+BWcCgEMLiEMJFMcbVwKXAXcA8oCHG+FQ7P9dOtiRJkkqONz5KkiRJbZTbGx8lSZKkvMt1yHZcRJIkSaUo1yHbg4+SJEkqRbkO2ZIkSVIpynXIdlxEkiRJpSjXITuLcZG6ujqampo2etbU1ERdXV3RapAkSVJpy3XIzkJlZSU1NTXrg3ZTUxM1NTVUVlZmXJkkSZJKxS5ZF5A3VVVVNDQ0UFNTQ21tLfX19TQ0NFBVVZV1aZIkSSoRue5kZzWTXVVVRW1tLVdffTW1tbUGbEmSJG0k1yE7qxV+TU1N1NfXM2HCBOrr6zeb0ZYkSVLnluuQnYWWGeyGhgYmTpy4fnTEoC1JkqQWhux2am5u3mgGu2VGu7m5OePKJEmSVCpCjDHrGnZaRUVFnD17dtZlSJIkqcyFEObEGCu2975cd7K9jEaSJEmlKNchO6uDj5IkSdK25DpkS5IkSaXIkC1JkiQVmCFbkiRJKjBDtiRJklRguQ7ZbheRJElSKcp1yHa7iCRJkkpRrkO2JEmSVIoM2ZIkSVKBlcW16iGEJcBLGfzQvYC8D4SX+s+h1OrLsp5i/9i9gbeK+ONJxVJq/17R1vn3qn06069Xlj/XT8QY99/em8oiZGclhDApxjg+6zp2Rqn/HEqtvizrKfaPHUKYHWOsKNaPJxVLqf17RVvn36v26Uy/Xnn4uTousnOmZV1AAZT6z6HU6suynlL7tZDyyn+W8sO/V+3TmX69Sv7naidb0hbZyZYkacfZyZa0NZOyLkCSpLyyky1JkiQVmJ1sSZIkqcAM2ZIkSVKBGbIlSZKkAjNkS5IkSQVmyJa0XSGEASGE/wgh3Jp1LZIk5YEhW+qkQgg3hhDeDCE8ucnzkSGEZ0IIC0MIVwDEGJ+PMV6UTaWSJOWPIVvqvG4CRm74IITQFfgVcBYwGPhCCGFw8UuTJCnfDNlSJxVjnAm8vcnjocDCdZ3rlcAtwNiiFydJUs4ZsiVtqA+waIPXi4E+IYT9Qgg3AJ8KIXwnm9IkScqPXbIuQFLpizEuBS7Jug5JkvLCTrakDb0CHLzB677rnkmSpHYwZEvaUDNwWAjhkBBCd+B8YGrGNUmSlDuGbKmTCiH8FpgFDAohLA4hXBRjXA1cCtwFzAMaYoxPZVmnJEl5FGKMWdcgSZIklRU72ZIkSVKBGbIlSZKkAjNkS5IkSQVmyJYkSZIKzJAtSZIkFZghW5IkSSowQ7YkSZJUYIZsSZIkqcAM2ZLUyYQQGkMI/xxCmBlCeDmEcFrWNUlSuTFkS1LnczTwTozxZODrwAUZ1yNJZceQLUmdSAhhN6AX8PN1j7oB72RXkSSVJ0O2JHUug4E5McY1614fAzyZYT2SVJYM2ZLUuRwNPLbB62OAxzOqRZLKliFbkjqXTUP2UdjJlqSCCzHGrGuQJEmSyoqdbEmSJKnADNmSJElSgRmyJUmSpAIzZEuSJEkFZsiWJEmSCsyQLUmSJBWYIVuSJEkqsP8Pjqs8F2+UyTkAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pyplot.figure(figsize=(12,6))\n", "pyplot.loglog(n, N, linestyle='None', marker='x', color='k', label='Combinations')\n", "pyplot.loglog(n, n**4, color='b', label=r'$n^4$')\n", "pyplot.xlabel(r'$n$')\n", "pyplot.ylabel(r'$N$')\n", "pyplot.legend(loc='upper left')\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With 17 million combinations to work with, we'll need to be a little careful how we compute." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One thing we could try is to loop through each possible \"smallest instance\" (the term on the right hand side) in increasing order. We then check all possible combinations of left hand sides.\n", "\n", "This is computationally *very expensive* as we repeat a lot of calculations. We repeatedly recalculate combinations (a bad idea). We repeatedly recalculate the powers of the same number.\n", "\n", "Instead, let us try creating the list of all combinations of powers once." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 2b\n", "\n", "1. Construct a `numpy` array containing all integers in $1, \\dots, 144$ to the fifth power. \n", "2. Construct a list of all combinations of four elements from this array.\n", "3. Construct a list of sums of all these combinations.\n", "4. Loop over one list and check if the entry appears in the other list (ie, use the `in` keyword)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import itertools" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "\n", "nmax=145\n", "range_to_power = np.arange(1, nmax)**5.0\n", "lhs_combinations = list(itertools.combinations(range_to_power, 4))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then calculate the sums:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "ename": "KeyboardInterrupt", "evalue": "", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mlhs_sums\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mlhs_terms\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mlhs_combinations\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mlhs_sums\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlhs_terms\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[0;32m/srv/conda/lib/python3.7/site-packages/numpy/core/fromnumeric.py\u001b[0m in \u001b[0;36msum\u001b[0;34m(a, axis, dtype, out, keepdims, initial)\u001b[0m\n\u001b[1;32m 2074\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2075\u001b[0m return _wrapreduction(a, np.add, 'sum', axis, dtype, out, keepdims=keepdims,\n\u001b[0;32m-> 2076\u001b[0;31m initial=initial)\n\u001b[0m\u001b[1;32m 2077\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2078\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/srv/conda/lib/python3.7/site-packages/numpy/core/fromnumeric.py\u001b[0m in \u001b[0;36m_wrapreduction\u001b[0;34m(obj, ufunc, method, axis, dtype, out, **kwargs)\u001b[0m\n\u001b[1;32m 84\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mreduction\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0maxis\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0maxis\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mout\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mout\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mpasskwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 85\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 86\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mufunc\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreduce\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mobj\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0maxis\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdtype\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mout\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mpasskwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 87\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 88\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mKeyboardInterrupt\u001b[0m: " ] } ], "source": [ "lhs_sums = []\n", "for lhs_terms in lhs_combinations:\n", " lhs_sums.append(np.sum(np.array(lhs_terms)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, loop through the sums and check to see if it matches any possible term on the RHS:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "for i, lhs in enumerate(lhs_sums):\n", " if lhs in range_to_power:\n", " rhs_primitive = int(lhs**(0.2))\n", " lhs_primitive = (numpy.array(lhs_combinations[i])**(0.2)).astype(int)\n", " print(\"The LHS terms are {}.\".format(lhs_primitive))\n", " print(\"The RHS term is {}.\".format(rhs_primitive))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Lorenz attractor" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Lorenz system is a set of ordinary differential equations which can be written\n", "\n", "\\begin{equation}\n", " \\frac{\\text{d} \\vec{v}}{\\text{d} \\vec{t}} = \\vec{f}(\\vec{v})\n", "\\end{equation}\n", "\n", "where the variables in the state vector $\\vec{v}$ are\n", "\n", "\\begin{equation}\n", " \\vec{v} = \\begin{pmatrix} x(t) \\\\ y(t) \\\\ z(t) \\end{pmatrix}\n", "\\end{equation}\n", "\n", "and the function defining the ODE is\n", "\n", "\\begin{equation}\n", " \\vec{f} = \\begin{pmatrix} \\sigma \\left( y(t) - x(t) \\right) \\\\ x(t) \\left( \\rho - z(t) \\right) - y(t) \\\\ x(t) y(t) - \\beta z(t) \\end{pmatrix}.\n", "\\end{equation}\n", "\n", "The parameters $\\sigma, \\rho, \\beta$ are all real numbers." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 1\n", "\n", "Write a function `dvdt(v, t, params)` that returns $\\vec{f}$ given $\\vec{v}, t$ and the parameters $\\sigma, \\rho, \\beta$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "def dvdt(v, t, sigma, rho, beta):\n", " \"\"\"\n", " Define the Lorenz system.\n", " \n", " Parameters\n", " ----------\n", " \n", " v : list\n", " State vector\n", " t : float\n", " Time\n", " sigma : float\n", " Parameter\n", " rho : float\n", " Parameter\n", " beta : float\n", " Parameter\n", " \n", " Returns\n", " -------\n", " \n", " dvdt : list\n", " RHS defining the Lorenz system\n", " \"\"\"\n", " \n", " x, y, z = v\n", " \n", " return [sigma*(y-x), x*(rho-z)-y, x*y-beta*z]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 2\n", "\n", "Fix $\\sigma=10, \\beta=8/3$. Set initial data to be $\\vec{v}(0) = \\vec{1}$. Using `scipy`, specifically the `odeint` function of `scipy.integrate`, solve the Lorenz system up to $t=100$ for $\\rho=13, 14, 15$ and $28$.\n", "\n", "Plot your results in 3d, plotting $x, y, z$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy\n", "from scipy.integrate import odeint" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "v0 = [1.0, 1.0, 1.0]\n", "sigma = 10.0\n", "beta = 8.0/3.0\n", "t_values = numpy.linspace(0.0, 100.0, 5000)\n", "rho_values = [13.0, 14.0, 15.0, 28.0]\n", "v_values = []\n", "for rho in rho_values:\n", " params = (sigma, rho, beta)\n", " v = odeint(dvdt, v0, t_values, args=params)\n", " v_values.append(v)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "from matplotlib import pyplot\n", "from mpl_toolkits.mplot3d.axes3d import Axes3D" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = pyplot.figure(figsize=(12,6))\n", "for i, v in enumerate(v_values):\n", " ax = fig.add_subplot(2,2,i+1,projection='3d')\n", " ax.plot(v[:,0], v[:,1], v[:,2])\n", " ax.set_xlabel(r'$x$')\n", " ax.set_ylabel(r'$y$')\n", " ax.set_zlabel(r'$z$')\n", " ax.set_title(r\"$\\rho={}$\".format(rho_values[i]))\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 3\n", "\n", "Fix $\\rho = 28$. Solve the Lorenz system twice, up to $t=40$, using the two different initial conditions $\\vec{v}(0) = \\vec{1}$ and $\\vec{v}(0) = \\vec{1} + \\vec{10^{-5}}$.\n", "\n", "Show four plots. Each plot should show the two solutions on the same axes, plotting $x, y$ and $z$. Each plot should show $10$ units of time, ie the first shows $t \\in [0, 10]$, the second shows $t \\in [10, 20]$, and so on." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "t_values = numpy.linspace(0.0, 40.0, 4000)\n", "rho = 28.0\n", "params = (sigma, rho, beta)\n", "v_values = []\n", "v0_values = [[1.0,1.0,1.0],\n", " [1.0+1e-5,1.0+1e-5,1.0+1e-5]]\n", "for v0 in v0_values:\n", " v = odeint(dvdt, v0, t_values, args=params)\n", " v_values.append(v)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = pyplot.figure(figsize=(12,6))\n", "line_colours = 'by'\n", "for tstart in range(4):\n", " ax = fig.add_subplot(2,2,tstart+1,projection='3d')\n", " for i, v in enumerate(v_values):\n", " ax.plot(v[tstart*1000:(tstart+1)*1000,0], \n", " v[tstart*1000:(tstart+1)*1000,1], \n", " v[tstart*1000:(tstart+1)*1000,2], \n", " color=line_colours[i])\n", " ax.set_xlabel(r'$x$')\n", " ax.set_ylabel(r'$y$')\n", " ax.set_zlabel(r'$z$')\n", " ax.set_title(r\"$t \\in [{},{}]$\".format(tstart*10, (tstart+1)*10))\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This shows the *sensitive dependence on initial conditions* that is characteristic of chaotic behaviour." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Twin primes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A *twin prime* is a pair $(p_1, p_2)$ such that both $p_1$ and $p_2$ are prime and $p_2 = p_1 + 2$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 1\n", "\n", "Write a generator that returns twin primes. You can use the generators above, and may want to look at the [itertools](https://docs.python.org/3/library/itertools.html) module together with [its recipes](https://docs.python.org/3/library/itertools.html#itertools-recipes), particularly the `pairwise` recipe." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution\n", "\n", "Note: we need to first pull in the generators introduced in that notebook" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "def all_primes(N):\n", " \"\"\"\n", " Return all primes less than or equal to N.\n", " \n", " Parameters\n", " ----------\n", " \n", " N : int\n", " Maximum number\n", " \n", " Returns\n", " -------\n", " \n", " prime : generator\n", " Prime numbers\n", " \"\"\"\n", " \n", " primes = []\n", " for n in range(2, N+1):\n", " is_n_prime = True\n", " for p in primes:\n", " if n%p == 0:\n", " is_n_prime = False\n", " break\n", " if is_n_prime:\n", " primes.append(n)\n", " yield n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can generate pairs using the pairwise recipe:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "from itertools import tee\n", "\n", "def pair_primes(N):\n", " \"Generate consecutive prime pairs, using the itertools recipe\"\n", " a, b = tee(all_primes(N))\n", " next(b, None)\n", " return zip(a, b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could examine the results of the two primes directly. But an efficient solution is to use python's [filter function](https://docs.python.org/3/library/functions.html#filter). To do this, first define a function checking if the pair are *twin* primes:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "def check_twin(pair):\n", " \"\"\"\n", " Take in a pair of integers, check if they differ by 2.\n", " \"\"\"\n", " p1, p2 = pair\n", " return p2-p1 == 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then use the `filter` function to define another generator:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "def twin_primes(N):\n", " \"\"\"\n", " Return all twin primes\n", " \"\"\"\n", " return filter(check_twin, pair_primes(N))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now check by finding the twin primes with $N<20$:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(3, 5)\n", "(5, 7)\n", "(11, 13)\n", "(17, 19)\n" ] } ], "source": [ "for tp in twin_primes(20):\n", " print(tp)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 2\n", "\n", "Find how many twin primes there are with $p_2 < 1000$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again there are many solutions, but the itertools recipes has the `quantify` pattern. Looking ahead to exercise 3 we'll define:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "def pi_N(N):\n", " \"\"\"\n", " Use the quantify pattern from itertools to count the number of twin primes.\n", " \"\"\"\n", " return sum(map(check_twin, pair_primes(N)))" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$$35$$" ], "text/plain": [ "35" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pi_N(1000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 3\n", "\n", "Let $\\pi_N$ be the number of twin primes such that $p_2 < N$. Plot how $\\pi_N / N$ varies with $N$ for $N=2^k$ and $k = 4, 5, \\dots 16$. (You should use a logarithmic scale where appropriate!)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We've now done all the hard work and can use the solutions above." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "import numpy\n", "from matplotlib import pyplot\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "N = numpy.array([2**k for k in range(4, 17)])\n", "twin_prime_fraction = numpy.array(list(map(pi_N, N))) / N" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pyplot.semilogx(N, twin_prime_fraction)\n", "pyplot.xlabel(r\"$N$\")\n", "pyplot.ylabel(r\"$\\pi_N / N$\")\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For those that have checked Wikipedia, you'll see [Brun's theorem](https://en.wikipedia.org/wiki/Twin_prime#Brun.27s_theorem) which suggests a specific scaling, that $\\pi_N$ is bounded by $C N / \\log(N)^2$. Checking this numerically on this data:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pyplot.semilogx(N, twin_prime_fraction * numpy.log(N)**2)\n", "pyplot.xlabel(r\"$N$\")\n", "pyplot.ylabel(r\"$\\pi_N \\times \\log(N)^2 / N$\")\n", "pyplot.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.2" } }, "nbformat": 4, "nbformat_minor": 1 }