sandbox.ipynb

Kernel: SageMath (stable)

    import random

dir(random)

['BPF',
 'LOG4',
 'NV_MAGICCONST',
 'RECIP_BPF',
 'Random',
 'SG_MAGICCONST',
 'SystemRandom',
 'TWOPI',
 'WichmannHill',
 '_BuiltinMethodType',
 '_MethodType',
 '__all__',
 '__builtins__',
 '__doc__',
 '__file__',
 '__name__',
 '__package__',
 '_acos',
 '_ceil',
 '_cos',
 '_e',
 '_exp',
 '_hashlib',
 '_hexlify',
 '_inst',
 '_log',
 '_pi',
 '_random',
 '_sin',
 '_sqrt',
 '_test',
 '_test_generator',
 '_urandom',
 '_warn',
 'betavariate',
 'choice',
 'division',
 'expovariate',
 'gammavariate',
 'gauss',
 'getrandbits',
 'getstate',
 'jumpahead',
 'lognormvariate',
 'normalvariate',
 'paretovariate',
 'randint',
 'random',
 'randrange',
 'sample',
 'seed',
 'setstate',
 'shuffle',
 'triangular',
 'uniform',
 'vonmisesvariate',
 'weibullvariate']

random.sample(d)

---------------------------------------------------------------------------
TypeError                                 Traceback (most recent call last)
<ipython-input-7-9125a8a13cd4> in <module>()
----> 1 random.sample(d)

TypeError: sample() takes exactly 3 arguments (2 given)

y=(1-x)/(1-X-x^2)

taylor(y,x,0,10)

34*x^10 + 21*x^9 + 13*x^8 + 8*x^7 + 5*x^6 + 3*x^5 + 2*x^4 + x^3 + x^2 + 1