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Today's Topics:
1. Standard Math 2001 (Kirby Urner)
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From: "Kirby Urner" <pdx4d@teleport.com>
To: <Edu-sig@python.org>
Date: Thu, 17 May 2001 17:21:26 -0700
Subject: [Edu-sig] Standard Math 2001
>>> def pascal(n):
"""
Simple loop for printing rows 1-n of Pascal's Triangle
"""
row = [1]
for j in range(n):
print row
row = [1] \
+ [row[i] + row[i+1] for i in range(len(row)-1)] + \
[1]
>>> pascal(10)
[1]
[1, 1]
[1, 2, 1]
[1, 3, 3, 1]
[1, 4, 6, 4, 1]
[1, 5, 10, 10, 5, 1]
[1, 6, 15, 20, 15, 6, 1]
[1, 7, 21, 35, 35, 21, 7, 1]
[1, 8, 28, 56, 70, 56, 28, 8, 1]
[1, 9, 36, 84, 126, 126, 84, 36, 9, 1]
Comparing Polynomial w/ Pascal's Triangle:
>>> from mathobjects import *
>>> term = Poly([1,1],'t')
>>> term
t + 1
>>> term**9
t**9 + 9*t**8 + 36*t**7 + 84*t**6 + 126*t**5
+ 126*t**4 + 84*t**3 + 36*t**2 + 9*t + 1
See: Binomial Theorem
http://www.inetarena.com/~pdx4d/ocn/binomial.html
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