Untitled1.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'randn' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-2-78f602fed43a>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0ma\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mrandn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m100\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m: name 'randn' is not defined"
     ]
    }
   ],
   "source": [
    "a = randn(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'randn' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-3-f55b381f2b28>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mhelp\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrandn\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m: name 'randn' is not defined"
     ]
    }
   ],
   "source": [
    "help(randn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on module random:\n",
      "\n",
      "NAME\n",
      "    random - Random variable generators.\n",
      "\n",
      "FILE\n",
      "    /System/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/random.py\n",
      "\n",
      "DESCRIPTION\n",
      "        integers\n",
      "        --------\n",
      "               uniform within range\n",
      "    \n",
      "        sequences\n",
      "        ---------\n",
      "               pick random element\n",
      "               pick random sample\n",
      "               generate random permutation\n",
      "    \n",
      "        distributions on the real line:\n",
      "        ------------------------------\n",
      "               uniform\n",
      "               triangular\n",
      "               normal (Gaussian)\n",
      "               lognormal\n",
      "               negative exponential\n",
      "               gamma\n",
      "               beta\n",
      "               pareto\n",
      "               Weibull\n",
      "    \n",
      "        distributions on the circle (angles 0 to 2pi)\n",
      "        ---------------------------------------------\n",
      "               circular uniform\n",
      "               von Mises\n",
      "    \n",
      "    General notes on the underlying Mersenne Twister core generator:\n",
      "    \n",
      "    * The period is 2**19937-1.\n",
      "    * It is one of the most extensively tested generators in existence.\n",
      "    * Without a direct way to compute N steps forward, the semantics of\n",
      "      jumpahead(n) are weakened to simply jump to another distant state and rely\n",
      "      on the large period to avoid overlapping sequences.\n",
      "    * The random() method is implemented in C, executes in a single Python step,\n",
      "      and is, therefore, threadsafe.\n",
      "\n",
      "CLASSES\n",
      "    _random.Random(__builtin__.object)\n",
      "        Random\n",
      "            SystemRandom\n",
      "            WichmannHill\n",
      "    \n",
      "    class Random(_random.Random)\n",
      "     |  Random number generator base class used by bound module functions.\n",
      "     |  \n",
      "     |  Used to instantiate instances of Random to get generators that don't\n",
      "     |  share state.  Especially useful for multi-threaded programs, creating\n",
      "     |  a different instance of Random for each thread, and using the jumpahead()\n",
      "     |  method to ensure that the generated sequences seen by each thread don't\n",
      "     |  overlap.\n",
      "     |  \n",
      "     |  Class Random can also be subclassed if you want to use a different basic\n",
      "     |  generator of your own devising: in that case, override the following\n",
      "     |  methods: random(), seed(), getstate(), setstate() and jumpahead().\n",
      "     |  Optionally, implement a getrandbits() method so that randrange() can cover\n",
      "     |  arbitrarily large ranges.\n",
      "     |  \n",
      "     |  Method resolution order:\n",
      "     |      Random\n",
      "     |      _random.Random\n",
      "     |      __builtin__.object\n",
      "     |  \n",
      "     |  Methods defined here:\n",
      "     |  \n",
      "     |  __getstate__(self)\n",
      "     |  \n",
      "     |  __init__(self, x=None)\n",
      "     |      Initialize an instance.\n",
      "     |      \n",
      "     |      Optional argument x controls seeding, as for Random.seed().\n",
      "     |  \n",
      "     |  __reduce__(self)\n",
      "     |  \n",
      "     |  __setstate__(self, state)\n",
      "     |  \n",
      "     |  betavariate(self, alpha, beta)\n",
      "     |      Beta distribution.\n",
      "     |      \n",
      "     |      Conditions on the parameters are alpha > 0 and beta > 0.\n",
      "     |      Returned values range between 0 and 1.\n",
      "     |  \n",
      "     |  choice(self, seq)\n",
      "     |      Choose a random element from a non-empty sequence.\n",
      "     |  \n",
      "     |  expovariate(self, lambd)\n",
      "     |      Exponential distribution.\n",
      "     |      \n",
      "     |      lambd is 1.0 divided by the desired mean.  It should be\n",
      "     |      nonzero.  (The parameter would be called \"lambda\", but that is\n",
      "     |      a reserved word in Python.)  Returned values range from 0 to\n",
      "     |      positive infinity if lambd is positive, and from negative\n",
      "     |      infinity to 0 if lambd is negative.\n",
      "     |  \n",
      "     |  gammavariate(self, alpha, beta)\n",
      "     |      Gamma distribution.  Not the gamma function!\n",
      "     |      \n",
      "     |      Conditions on the parameters are alpha > 0 and beta > 0.\n",
      "     |      \n",
      "     |      The probability distribution function is:\n",
      "     |      \n",
      "     |                  x ** (alpha - 1) * math.exp(-x / beta)\n",
      "     |        pdf(x) =  --------------------------------------\n",
      "     |                    math.gamma(alpha) * beta ** alpha\n",
      "     |  \n",
      "     |  gauss(self, mu, sigma)\n",
      "     |      Gaussian distribution.\n",
      "     |      \n",
      "     |      mu is the mean, and sigma is the standard deviation.  This is\n",
      "     |      slightly faster than the normalvariate() function.\n",
      "     |      \n",
      "     |      Not thread-safe without a lock around calls.\n",
      "     |  \n",
      "     |  getstate(self)\n",
      "     |      Return internal state; can be passed to setstate() later.\n",
      "     |  \n",
      "     |  jumpahead(self, n)\n",
      "     |      Change the internal state to one that is likely far away\n",
      "     |      from the current state.  This method will not be in Py3.x,\n",
      "     |      so it is better to simply reseed.\n",
      "     |  \n",
      "     |  lognormvariate(self, mu, sigma)\n",
      "     |      Log normal distribution.\n",
      "     |      \n",
      "     |      If you take the natural logarithm of this distribution, you'll get a\n",
      "     |      normal distribution with mean mu and standard deviation sigma.\n",
      "     |      mu can have any value, and sigma must be greater than zero.\n",
      "     |  \n",
      "     |  normalvariate(self, mu, sigma)\n",
      "     |      Normal distribution.\n",
      "     |      \n",
      "     |      mu is the mean, and sigma is the standard deviation.\n",
      "     |  \n",
      "     |  paretovariate(self, alpha)\n",
      "     |      Pareto distribution.  alpha is the shape parameter.\n",
      "     |  \n",
      "     |  randint(self, a, b)\n",
      "     |      Return random integer in range [a, b], including both end points.\n",
      "     |  \n",
      "     |  randrange(self, start, stop=None, step=1, _int=<type 'int'>, _maxwidth=9007199254740992L)\n",
      "     |      Choose a random item from range(start, stop[, step]).\n",
      "     |      \n",
      "     |      This fixes the problem with randint() which includes the\n",
      "     |      endpoint; in Python this is usually not what you want.\n",
      "     |  \n",
      "     |  sample(self, population, k)\n",
      "     |      Chooses k unique random elements from a population sequence.\n",
      "     |      \n",
      "     |      Returns a new list containing elements from the population while\n",
      "     |      leaving the original population unchanged.  The resulting list is\n",
      "     |      in selection order so that all sub-slices will also be valid random\n",
      "     |      samples.  This allows raffle winners (the sample) to be partitioned\n",
      "     |      into grand prize and second place winners (the subslices).\n",
      "     |      \n",
      "     |      Members of the population need not be hashable or unique.  If the\n",
      "     |      population contains repeats, then each occurrence is a possible\n",
      "     |      selection in the sample.\n",
      "     |      \n",
      "     |      To choose a sample in a range of integers, use xrange as an argument.\n",
      "     |      This is especially fast and space efficient for sampling from a\n",
      "     |      large population:   sample(xrange(10000000), 60)\n",
      "     |  \n",
      "     |  seed(self, a=None)\n",
      "     |      Initialize internal state from hashable object.\n",
      "     |      \n",
      "     |      None or no argument seeds from current time or from an operating\n",
      "     |      system specific randomness source if available.\n",
      "     |      \n",
      "     |      If a is not None or an int or long, hash(a) is used instead.\n",
      "     |  \n",
      "     |  setstate(self, state)\n",
      "     |      Restore internal state from object returned by getstate().\n",
      "     |  \n",
      "     |  shuffle(self, x, random=None)\n",
      "     |      x, random=random.random -> shuffle list x in place; return None.\n",
      "     |      \n",
      "     |      Optional arg random is a 0-argument function returning a random\n",
      "     |      float in [0.0, 1.0); by default, the standard random.random.\n",
      "     |  \n",
      "     |  triangular(self, low=0.0, high=1.0, mode=None)\n",
      "     |      Triangular distribution.\n",
      "     |      \n",
      "     |      Continuous distribution bounded by given lower and upper limits,\n",
      "     |      and having a given mode value in-between.\n",
      "     |      \n",
      "     |      http://en.wikipedia.org/wiki/Triangular_distribution\n",
      "     |  \n",
      "     |  uniform(self, a, b)\n",
      "     |      Get a random number in the range [a, b) or [a, b] depending on rounding.\n",
      "     |  \n",
      "     |  vonmisesvariate(self, mu, kappa)\n",
      "     |      Circular data distribution.\n",
      "     |      \n",
      "     |      mu is the mean angle, expressed in radians between 0 and 2*pi, and\n",
      "     |      kappa is the concentration parameter, which must be greater than or\n",
      "     |      equal to zero.  If kappa is equal to zero, this distribution reduces\n",
      "     |      to a uniform random angle over the range 0 to 2*pi.\n",
      "     |  \n",
      "     |  weibullvariate(self, alpha, beta)\n",
      "     |      Weibull distribution.\n",
      "     |      \n",
      "     |      alpha is the scale parameter and beta is the shape parameter.\n",
      "     |  \n",
      "     |  ----------------------------------------------------------------------\n",
      "     |  Data descriptors defined here:\n",
      "     |  \n",
      "     |  __dict__\n",
      "     |      dictionary for instance variables (if defined)\n",
      "     |  \n",
      "     |  __weakref__\n",
      "     |      list of weak references to the object (if defined)\n",
      "     |  \n",
      "     |  ----------------------------------------------------------------------\n",
      "     |  Data and other attributes defined here:\n",
      "     |  \n",
      "     |  VERSION = 3\n",
      "     |  \n",
      "     |  ----------------------------------------------------------------------\n",
      "     |  Methods inherited from _random.Random:\n",
      "     |  \n",
      "     |  __getattribute__(...)\n",
      "     |      x.__getattribute__('name') <==> x.name\n",
      "     |  \n",
      "     |  getrandbits(...)\n",
      "     |      getrandbits(k) -> x.  Generates a long int with k random bits.\n",
      "     |  \n",
      "     |  random(...)\n",
      "     |      random() -> x in the interval [0, 1).\n",
      "     |  \n",
      "     |  ----------------------------------------------------------------------\n",
      "     |  Data and other attributes inherited from _random.Random:\n",
      "     |  \n",
      "     |  __new__ = <built-in method __new__ of type object>\n",
      "     |      T.__new__(S, ...) -> a new object with type S, a subtype of T\n",
      "    \n",
      "    class SystemRandom(Random)\n",
      "     |  Alternate random number generator using sources provided\n",
      "     |  by the operating system (such as /dev/urandom on Unix or\n",
      "     |  CryptGenRandom on Windows).\n",
      "     |  \n",
      "     |   Not available on all systems (see os.urandom() for details).\n",
      "     |  \n",
      "     |  Method resolution order:\n",
      "     |      SystemRandom\n",
      "     |      Random\n",
      "     |      _random.Random\n",
      "     |      __builtin__.object\n",
      "     |  \n",
      "     |  Methods defined here:\n",
      "     |  \n",
      "     |  getrandbits(self, k)\n",
      "     |      getrandbits(k) -> x.  Generates a long int with k random bits.\n",
      "     |  \n",
      "     |  getstate = _notimplemented(self, *args, **kwds)\n",
      "     |  \n",
      "     |  jumpahead = _stub(self, *args, **kwds)\n",
      "     |  \n",
      "     |  random(self)\n",
      "     |      Get the next random number in the range [0.0, 1.0).\n",
      "     |  \n",
      "     |  seed = _stub(self, *args, **kwds)\n",
      "     |  \n",
      "     |  setstate = _notimplemented(self, *args, **kwds)\n",
      "     |  \n",
      "     |  ----------------------------------------------------------------------\n",
      "     |  Methods inherited from Random:\n",
      "     |  \n",
      "     |  __getstate__(self)\n",
      "     |  \n",
      "     |  __init__(self, x=None)\n",
      "     |      Initialize an instance.\n",
      "     |      \n",
      "     |      Optional argument x controls seeding, as for Random.seed().\n",
      "     |  \n",
      "     |  __reduce__(self)\n",
      "     |  \n",
      "     |  __setstate__(self, state)\n",
      "     |  \n",
      "     |  betavariate(self, alpha, beta)\n",
      "     |      Beta distribution.\n",
      "     |      \n",
      "     |      Conditions on the parameters are alpha > 0 and beta > 0.\n",
      "     |      Returned values range between 0 and 1.\n",
      "     |  \n",
      "     |  choice(self, seq)\n",
      "     |      Choose a random element from a non-empty sequence.\n",
      "     |  \n",
      "     |  expovariate(self, lambd)\n",
      "     |      Exponential distribution.\n",
      "     |      \n",
      "     |      lambd is 1.0 divided by the desired mean.  It should be\n",
      "     |      nonzero.  (The parameter would be called \"lambda\", but that is\n",
      "     |      a reserved word in Python.)  Returned values range from 0 to\n",
      "     |      positive infinity if lambd is positive, and from negative\n",
      "     |      infinity to 0 if lambd is negative.\n",
      "     |  \n",
      "     |  gammavariate(self, alpha, beta)\n",
      "     |      Gamma distribution.  Not the gamma function!\n",
      "     |      \n",
      "     |      Conditions on the parameters are alpha > 0 and beta > 0.\n",
      "     |      \n",
      "     |      The probability distribution function is:\n",
      "     |      \n",
      "     |                  x ** (alpha - 1) * math.exp(-x / beta)\n",
      "     |        pdf(x) =  --------------------------------------\n",
      "     |                    math.gamma(alpha) * beta ** alpha\n",
      "     |  \n",
      "     |  gauss(self, mu, sigma)\n",
      "     |      Gaussian distribution.\n",
      "     |      \n",
      "     |      mu is the mean, and sigma is the standard deviation.  This is\n",
      "     |      slightly faster than the normalvariate() function.\n",
      "     |      \n",
      "     |      Not thread-safe without a lock around calls.\n",
      "     |  \n",
      "     |  lognormvariate(self, mu, sigma)\n",
      "     |      Log normal distribution.\n",
      "     |      \n",
      "     |      If you take the natural logarithm of this distribution, you'll get a\n",
      "     |      normal distribution with mean mu and standard deviation sigma.\n",
      "     |      mu can have any value, and sigma must be greater than zero.\n",
      "     |  \n",
      "     |  normalvariate(self, mu, sigma)\n",
      "     |      Normal distribution.\n",
      "     |      \n",
      "     |      mu is the mean, and sigma is the standard deviation.\n",
      "     |  \n",
      "     |  paretovariate(self, alpha)\n",
      "     |      Pareto distribution.  alpha is the shape parameter.\n",
      "     |  \n",
      "     |  randint(self, a, b)\n",
      "     |      Return random integer in range [a, b], including both end points.\n",
      "     |  \n",
      "     |  randrange(self, start, stop=None, step=1, _int=<type 'int'>, _maxwidth=9007199254740992L)\n",
      "     |      Choose a random item from range(start, stop[, step]).\n",
      "     |      \n",
      "     |      This fixes the problem with randint() which includes the\n",
      "     |      endpoint; in Python this is usually not what you want.\n",
      "     |  \n",
      "     |  sample(self, population, k)\n",
      "     |      Chooses k unique random elements from a population sequence.\n",
      "     |      \n",
      "     |      Returns a new list containing elements from the population while\n",
      "     |      leaving the original population unchanged.  The resulting list is\n",
      "     |      in selection order so that all sub-slices will also be valid random\n",
      "     |      samples.  This allows raffle winners (the sample) to be partitioned\n",
      "     |      into grand prize and second place winners (the subslices).\n",
      "     |      \n",
      "     |      Members of the population need not be hashable or unique.  If the\n",
      "     |      population contains repeats, then each occurrence is a possible\n",
      "     |      selection in the sample.\n",
      "     |      \n",
      "     |      To choose a sample in a range of integers, use xrange as an argument.\n",
      "     |      This is especially fast and space efficient for sampling from a\n",
      "     |      large population:   sample(xrange(10000000), 60)\n",
      "     |  \n",
      "     |  shuffle(self, x, random=None)\n",
      "     |      x, random=random.random -> shuffle list x in place; return None.\n",
      "     |      \n",
      "     |      Optional arg random is a 0-argument function returning a random\n",
      "     |      float in [0.0, 1.0); by default, the standard random.random.\n",
      "     |  \n",
      "     |  triangular(self, low=0.0, high=1.0, mode=None)\n",
      "     |      Triangular distribution.\n",
      "     |      \n",
      "     |      Continuous distribution bounded by given lower and upper limits,\n",
      "     |      and having a given mode value in-between.\n",
      "     |      \n",
      "     |      http://en.wikipedia.org/wiki/Triangular_distribution\n",
      "     |  \n",
      "     |  uniform(self, a, b)\n",
      "     |      Get a random number in the range [a, b) or [a, b] depending on rounding.\n",
      "     |  \n",
      "     |  vonmisesvariate(self, mu, kappa)\n",
      "     |      Circular data distribution.\n",
      "     |      \n",
      "     |      mu is the mean angle, expressed in radians between 0 and 2*pi, and\n",
      "     |      kappa is the concentration parameter, which must be greater than or\n",
      "     |      equal to zero.  If kappa is equal to zero, this distribution reduces\n",
      "     |      to a uniform random angle over the range 0 to 2*pi.\n",
      "     |  \n",
      "     |  weibullvariate(self, alpha, beta)\n",
      "     |      Weibull distribution.\n",
      "     |      \n",
      "     |      alpha is the scale parameter and beta is the shape parameter.\n",
      "     |  \n",
      "     |  ----------------------------------------------------------------------\n",
      "     |  Data descriptors inherited from Random:\n",
      "     |  \n",
      "     |  __dict__\n",
      "     |      dictionary for instance variables (if defined)\n",
      "     |  \n",
      "     |  __weakref__\n",
      "     |      list of weak references to the object (if defined)\n",
      "     |  \n",
      "     |  ----------------------------------------------------------------------\n",
      "     |  Data and other attributes inherited from Random:\n",
      "     |  \n",
      "     |  VERSION = 3\n",
      "     |  \n",
      "     |  ----------------------------------------------------------------------\n",
      "     |  Methods inherited from _random.Random:\n",
      "     |  \n",
      "     |  __getattribute__(...)\n",
      "     |      x.__getattribute__('name') <==> x.name\n",
      "     |  \n",
      "     |  ----------------------------------------------------------------------\n",
      "     |  Data and other attributes inherited from _random.Random:\n",
      "     |  \n",
      "     |  __new__ = <built-in method __new__ of type object>\n",
      "     |      T.__new__(S, ...) -> a new object with type S, a subtype of T\n",
      "    \n",
      "    class WichmannHill(Random)\n",
      "     |  Method resolution order:\n",
      "     |      WichmannHill\n",
      "     |      Random\n",
      "     |      _random.Random\n",
      "     |      __builtin__.object\n",
      "     |  \n",
      "     |  Methods defined here:\n",
      "     |  \n",
      "     |  getstate(self)\n",
      "     |      Return internal state; can be passed to setstate() later.\n",
      "     |  \n",
      "     |  jumpahead(self, n)\n",
      "     |      Act as if n calls to random() were made, but quickly.\n",
      "     |      \n",
      "     |      n is an int, greater than or equal to 0.\n",
      "     |      \n",
      "     |      Example use:  If you have 2 threads and know that each will\n",
      "     |      consume no more than a million random numbers, create two Random\n",
      "     |      objects r1 and r2, then do\n",
      "     |          r2.setstate(r1.getstate())\n",
      "     |          r2.jumpahead(1000000)\n",
      "     |      Then r1 and r2 will use guaranteed-disjoint segments of the full\n",
      "     |      period.\n",
      "     |  \n",
      "     |  random(self)\n",
      "     |      Get the next random number in the range [0.0, 1.0).\n",
      "     |  \n",
      "     |  seed(self, a=None)\n",
      "     |      Initialize internal state from hashable object.\n",
      "     |      \n",
      "     |      None or no argument seeds from current time or from an operating\n",
      "     |      system specific randomness source if available.\n",
      "     |      \n",
      "     |      If a is not None or an int or long, hash(a) is used instead.\n",
      "     |      \n",
      "     |      If a is an int or long, a is used directly.  Distinct values between\n",
      "     |      0 and 27814431486575L inclusive are guaranteed to yield distinct\n",
      "     |      internal states (this guarantee is specific to the default\n",
      "     |      Wichmann-Hill generator).\n",
      "     |  \n",
      "     |  setstate(self, state)\n",
      "     |      Restore internal state from object returned by getstate().\n",
      "     |  \n",
      "     |  whseed(self, a=None)\n",
      "     |      Seed from hashable object's hash code.\n",
      "     |      \n",
      "     |      None or no argument seeds from current time.  It is not guaranteed\n",
      "     |      that objects with distinct hash codes lead to distinct internal\n",
      "     |      states.\n",
      "     |      \n",
      "     |      This is obsolete, provided for compatibility with the seed routine\n",
      "     |      used prior to Python 2.1.  Use the .seed() method instead.\n",
      "     |  \n",
      "     |  ----------------------------------------------------------------------\n",
      "     |  Data and other attributes defined here:\n",
      "     |  \n",
      "     |  VERSION = 1\n",
      "     |  \n",
      "     |  ----------------------------------------------------------------------\n",
      "     |  Methods inherited from Random:\n",
      "     |  \n",
      "     |  __getstate__(self)\n",
      "     |  \n",
      "     |  __init__(self, x=None)\n",
      "     |      Initialize an instance.\n",
      "     |      \n",
      "     |      Optional argument x controls seeding, as for Random.seed().\n",
      "     |  \n",
      "     |  __reduce__(self)\n",
      "     |  \n",
      "     |  __setstate__(self, state)\n",
      "     |  \n",
      "     |  betavariate(self, alpha, beta)\n",
      "     |      Beta distribution.\n",
      "     |      \n",
      "     |      Conditions on the parameters are alpha > 0 and beta > 0.\n",
      "     |      Returned values range between 0 and 1.\n",
      "     |  \n",
      "     |  choice(self, seq)\n",
      "     |      Choose a random element from a non-empty sequence.\n",
      "     |  \n",
      "     |  expovariate(self, lambd)\n",
      "     |      Exponential distribution.\n",
      "     |      \n",
      "     |      lambd is 1.0 divided by the desired mean.  It should be\n",
      "     |      nonzero.  (The parameter would be called \"lambda\", but that is\n",
      "     |      a reserved word in Python.)  Returned values range from 0 to\n",
      "     |      positive infinity if lambd is positive, and from negative\n",
      "     |      infinity to 0 if lambd is negative.\n",
      "     |  \n",
      "     |  gammavariate(self, alpha, beta)\n",
      "     |      Gamma distribution.  Not the gamma function!\n",
      "     |      \n",
      "     |      Conditions on the parameters are alpha > 0 and beta > 0.\n",
      "     |      \n",
      "     |      The probability distribution function is:\n",
      "     |      \n",
      "     |                  x ** (alpha - 1) * math.exp(-x / beta)\n",
      "     |        pdf(x) =  --------------------------------------\n",
      "     |                    math.gamma(alpha) * beta ** alpha\n",
      "     |  \n",
      "     |  gauss(self, mu, sigma)\n",
      "     |      Gaussian distribution.\n",
      "     |      \n",
      "     |      mu is the mean, and sigma is the standard deviation.  This is\n",
      "     |      slightly faster than the normalvariate() function.\n",
      "     |      \n",
      "     |      Not thread-safe without a lock around calls.\n",
      "     |  \n",
      "     |  lognormvariate(self, mu, sigma)\n",
      "     |      Log normal distribution.\n",
      "     |      \n",
      "     |      If you take the natural logarithm of this distribution, you'll get a\n",
      "     |      normal distribution with mean mu and standard deviation sigma.\n",
      "     |      mu can have any value, and sigma must be greater than zero.\n",
      "     |  \n",
      "     |  normalvariate(self, mu, sigma)\n",
      "     |      Normal distribution.\n",
      "     |      \n",
      "     |      mu is the mean, and sigma is the standard deviation.\n",
      "     |  \n",
      "     |  paretovariate(self, alpha)\n",
      "     |      Pareto distribution.  alpha is the shape parameter.\n",
      "     |  \n",
      "     |  randint(self, a, b)\n",
      "     |      Return random integer in range [a, b], including both end points.\n",
      "     |  \n",
      "     |  randrange(self, start, stop=None, step=1, _int=<type 'int'>, _maxwidth=9007199254740992L)\n",
      "     |      Choose a random item from range(start, stop[, step]).\n",
      "     |      \n",
      "     |      This fixes the problem with randint() which includes the\n",
      "     |      endpoint; in Python this is usually not what you want.\n",
      "     |  \n",
      "     |  sample(self, population, k)\n",
      "     |      Chooses k unique random elements from a population sequence.\n",
      "     |      \n",
      "     |      Returns a new list containing elements from the population while\n",
      "     |      leaving the original population unchanged.  The resulting list is\n",
      "     |      in selection order so that all sub-slices will also be valid random\n",
      "     |      samples.  This allows raffle winners (the sample) to be partitioned\n",
      "     |      into grand prize and second place winners (the subslices).\n",
      "     |      \n",
      "     |      Members of the population need not be hashable or unique.  If the\n",
      "     |      population contains repeats, then each occurrence is a possible\n",
      "     |      selection in the sample.\n",
      "     |      \n",
      "     |      To choose a sample in a range of integers, use xrange as an argument.\n",
      "     |      This is especially fast and space efficient for sampling from a\n",
      "     |      large population:   sample(xrange(10000000), 60)\n",
      "     |  \n",
      "     |  shuffle(self, x, random=None)\n",
      "     |      x, random=random.random -> shuffle list x in place; return None.\n",
      "     |      \n",
      "     |      Optional arg random is a 0-argument function returning a random\n",
      "     |      float in [0.0, 1.0); by default, the standard random.random.\n",
      "     |  \n",
      "     |  triangular(self, low=0.0, high=1.0, mode=None)\n",
      "     |      Triangular distribution.\n",
      "     |      \n",
      "     |      Continuous distribution bounded by given lower and upper limits,\n",
      "     |      and having a given mode value in-between.\n",
      "     |      \n",
      "     |      http://en.wikipedia.org/wiki/Triangular_distribution\n",
      "     |  \n",
      "     |  uniform(self, a, b)\n",
      "     |      Get a random number in the range [a, b) or [a, b] depending on rounding.\n",
      "     |  \n",
      "     |  vonmisesvariate(self, mu, kappa)\n",
      "     |      Circular data distribution.\n",
      "     |      \n",
      "     |      mu is the mean angle, expressed in radians between 0 and 2*pi, and\n",
      "     |      kappa is the concentration parameter, which must be greater than or\n",
      "     |      equal to zero.  If kappa is equal to zero, this distribution reduces\n",
      "     |      to a uniform random angle over the range 0 to 2*pi.\n",
      "     |  \n",
      "     |  weibullvariate(self, alpha, beta)\n",
      "     |      Weibull distribution.\n",
      "     |      \n",
      "     |      alpha is the scale parameter and beta is the shape parameter.\n",
      "     |  \n",
      "     |  ----------------------------------------------------------------------\n",
      "     |  Data descriptors inherited from Random:\n",
      "     |  \n",
      "     |  __dict__\n",
      "     |      dictionary for instance variables (if defined)\n",
      "     |  \n",
      "     |  __weakref__\n",
      "     |      list of weak references to the object (if defined)\n",
      "     |  \n",
      "     |  ----------------------------------------------------------------------\n",
      "     |  Methods inherited from _random.Random:\n",
      "     |  \n",
      "     |  __getattribute__(...)\n",
      "     |      x.__getattribute__('name') <==> x.name\n",
      "     |  \n",
      "     |  getrandbits(...)\n",
      "     |      getrandbits(k) -> x.  Generates a long int with k random bits.\n",
      "     |  \n",
      "     |  ----------------------------------------------------------------------\n",
      "     |  Data and other attributes inherited from _random.Random:\n",
      "     |  \n",
      "     |  __new__ = <built-in method __new__ of type object>\n",
      "     |      T.__new__(S, ...) -> a new object with type S, a subtype of T\n",
      "\n",
      "FUNCTIONS\n",
      "    betavariate(self, alpha, beta) method of Random instance\n",
      "        Beta distribution.\n",
      "        \n",
      "        Conditions on the parameters are alpha > 0 and beta > 0.\n",
      "        Returned values range between 0 and 1.\n",
      "    \n",
      "    choice(self, seq) method of Random instance\n",
      "        Choose a random element from a non-empty sequence.\n",
      "    \n",
      "    expovariate(self, lambd) method of Random instance\n",
      "        Exponential distribution.\n",
      "        \n",
      "        lambd is 1.0 divided by the desired mean.  It should be\n",
      "        nonzero.  (The parameter would be called \"lambda\", but that is\n",
      "        a reserved word in Python.)  Returned values range from 0 to\n",
      "        positive infinity if lambd is positive, and from negative\n",
      "        infinity to 0 if lambd is negative.\n",
      "    \n",
      "    gammavariate(self, alpha, beta) method of Random instance\n",
      "        Gamma distribution.  Not the gamma function!\n",
      "        \n",
      "        Conditions on the parameters are alpha > 0 and beta > 0.\n",
      "        \n",
      "        The probability distribution function is:\n",
      "        \n",
      "                    x ** (alpha - 1) * math.exp(-x / beta)\n",
      "          pdf(x) =  --------------------------------------\n",
      "                      math.gamma(alpha) * beta ** alpha\n",
      "    \n",
      "    gauss(self, mu, sigma) method of Random instance\n",
      "        Gaussian distribution.\n",
      "        \n",
      "        mu is the mean, and sigma is the standard deviation.  This is\n",
      "        slightly faster than the normalvariate() function.\n",
      "        \n",
      "        Not thread-safe without a lock around calls.\n",
      "    \n",
      "    getrandbits(...)\n",
      "        getrandbits(k) -> x.  Generates a long int with k random bits.\n",
      "    \n",
      "    getstate(self) method of Random instance\n",
      "        Return internal state; can be passed to setstate() later.\n",
      "    \n",
      "    jumpahead(self, n) method of Random instance\n",
      "        Change the internal state to one that is likely far away\n",
      "        from the current state.  This method will not be in Py3.x,\n",
      "        so it is better to simply reseed.\n",
      "    \n",
      "    lognormvariate(self, mu, sigma) method of Random instance\n",
      "        Log normal distribution.\n",
      "        \n",
      "        If you take the natural logarithm of this distribution, you'll get a\n",
      "        normal distribution with mean mu and standard deviation sigma.\n",
      "        mu can have any value, and sigma must be greater than zero.\n",
      "    \n",
      "    normalvariate(self, mu, sigma) method of Random instance\n",
      "        Normal distribution.\n",
      "        \n",
      "        mu is the mean, and sigma is the standard deviation.\n",
      "    \n",
      "    paretovariate(self, alpha) method of Random instance\n",
      "        Pareto distribution.  alpha is the shape parameter.\n",
      "    \n",
      "    randint(self, a, b) method of Random instance\n",
      "        Return random integer in range [a, b], including both end points.\n",
      "    \n",
      "    random(...)\n",
      "        random() -> x in the interval [0, 1).\n",
      "    \n",
      "    randrange(self, start, stop=None, step=1, _int=<type 'int'>, _maxwidth=9007199254740992L) method of Random instance\n",
      "        Choose a random item from range(start, stop[, step]).\n",
      "        \n",
      "        This fixes the problem with randint() which includes the\n",
      "        endpoint; in Python this is usually not what you want.\n",
      "    \n",
      "    sample(self, population, k) method of Random instance\n",
      "        Chooses k unique random elements from a population sequence.\n",
      "        \n",
      "        Returns a new list containing elements from the population while\n",
      "        leaving the original population unchanged.  The resulting list is\n",
      "        in selection order so that all sub-slices will also be valid random\n",
      "        samples.  This allows raffle winners (the sample) to be partitioned\n",
      "        into grand prize and second place winners (the subslices).\n",
      "        \n",
      "        Members of the population need not be hashable or unique.  If the\n",
      "        population contains repeats, then each occurrence is a possible\n",
      "        selection in the sample.\n",
      "        \n",
      "        To choose a sample in a range of integers, use xrange as an argument.\n",
      "        This is especially fast and space efficient for sampling from a\n",
      "        large population:   sample(xrange(10000000), 60)\n",
      "    \n",
      "    seed(self, a=None) method of Random instance\n",
      "        Initialize internal state from hashable object.\n",
      "        \n",
      "        None or no argument seeds from current time or from an operating\n",
      "        system specific randomness source if available.\n",
      "        \n",
      "        If a is not None or an int or long, hash(a) is used instead.\n",
      "    \n",
      "    setstate(self, state) method of Random instance\n",
      "        Restore internal state from object returned by getstate().\n",
      "    \n",
      "    shuffle(self, x, random=None) method of Random instance\n",
      "        x, random=random.random -> shuffle list x in place; return None.\n",
      "        \n",
      "        Optional arg random is a 0-argument function returning a random\n",
      "        float in [0.0, 1.0); by default, the standard random.random.\n",
      "    \n",
      "    triangular(self, low=0.0, high=1.0, mode=None) method of Random instance\n",
      "        Triangular distribution.\n",
      "        \n",
      "        Continuous distribution bounded by given lower and upper limits,\n",
      "        and having a given mode value in-between.\n",
      "        \n",
      "        http://en.wikipedia.org/wiki/Triangular_distribution\n",
      "    \n",
      "    uniform(self, a, b) method of Random instance\n",
      "        Get a random number in the range [a, b) or [a, b] depending on rounding.\n",
      "    \n",
      "    vonmisesvariate(self, mu, kappa) method of Random instance\n",
      "        Circular data distribution.\n",
      "        \n",
      "        mu is the mean angle, expressed in radians between 0 and 2*pi, and\n",
      "        kappa is the concentration parameter, which must be greater than or\n",
      "        equal to zero.  If kappa is equal to zero, this distribution reduces\n",
      "        to a uniform random angle over the range 0 to 2*pi.\n",
      "    \n",
      "    weibullvariate(self, alpha, beta) method of Random instance\n",
      "        Weibull distribution.\n",
      "        \n",
      "        alpha is the scale parameter and beta is the shape parameter.\n",
      "\n",
      "DATA\n",
      "    __all__ = ['Random', 'seed', 'random', 'uniform', 'randint', 'choice',...\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(random)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a = random.Random(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "AttributeError",
     "evalue": "'Random' object has no attribute 'plot'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-7-7744e8f272e6>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0ma\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mAttributeError\u001b[0m: 'Random' object has no attribute 'plot'"
     ]
    }
   ],
   "source": [
    "a.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'plot' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-8-ec0d0a47649d>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mplot\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m: name 'plot' is not defined"
     ]
    }
   ],
   "source": [
    "plot.a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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