View english.txt
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The source of all mathematics are integers.
 
This I understand, not only in your traditional sense that the concept of the continuum is albeitet from consideration of discrete quantities.
 
Rather, I think these words on results of recent date.
 
Mastering the exponential function of the number of segments from the acquisition of elliptic functions by means of modular equations can confidently believe that the deepest relationships in the Analysis of arithmetic in nature.
 
This confidence has already paying off.
View chebyshev.py
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from sympy import symbols
from sympy.matrices import *
from sympy import collect
 
x,t = symbols('x a b c d')
 
V = Matrix([[2*x+a, 1, 0,0], [1, 2*x+b, 1,0], [0, 1, 2*x+c,1], [0,0,1,2*x+d]])
collect(V.det(),a)
 
"""a*(b*c*d + 2*b*c*x + 2*b*d*x + 4*b*x**2 - b + 2*c*d*x + 4*c*x**2 + 4*d*x**2 - d + 8*x**3 - 4*x) + 2*b*c*d*x + 4*b*c*x**2 + 4*b*d*x**2 + 8*b*x**3 - 2*b*x + 4*c*d*x**2 - c*d + 8*c*x**3 - 2*c*x + 8*d*x**3 - 4*d*x + 16*x**4 - 12*x**2 + 1"""
View README.md

How to Install iHaskell

iHaskell is a notebook similar to iPython notebook. Here's to hoping it will become easier to learn the very complix Haskell language.

you might need Python's virtual environments

I raised many Github issues and StackOverflow questions loudly expressing my grief on installation issues

View gaussreduction.py
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def S((a,b,c), k=1):
return (a, -2*a*k+b, a*k**2-b*k+c)
 
 
def T((a,b,c)):
return (c,b,a)
 
x = (1,33,-21)
x = (7, 33, -8)
x = (13,13,-22)
View gcd.py
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import numpy as np
import matplotlib.pyplot as plt
%matplotlib inline
 
# http://stackoverflow.com/questions/11175131/code-for-greatest-common-divisor-in-python
def gcd(x, y):
while y != 0:
(x, y) = (y, x % y)
return x
View limacon-1.md

Wikipedia: Let P be a point and C be a circle whose center is not P. Then the envelope of those circles whose center lies on C and that pass through P is a limaçon.

View subway.py
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import requests
 
key = ''
r = requests.get('http://datamine.mta.info/mta_esi.php?key=%s&feed_id=1'%(key))
 
# http://datamine.mta.info/sites/all/files/pdfs/nyct-subway.proto.txt
# https://developers.google.com/transit/gtfs-realtime/gtfs-realtime-proto
# https://github.com/google/protobuf
 
import gtfs_realtime_pb2, nyct_subway_pb2
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