Mikael Vejdemo-Johansson michiexile

Did you ever notice that $\frac{16}{64} = \frac{1}{4}$? In fact, $\frac{1\not 6}{\not 64} = \frac{1}{4}$.

What other such examples are there?

In [7]: nummaker = lambda x,y: 10*x+y

In [8]: nummakers = [lambda x,y: nummaker(x,y), lambda x,y: nummaker(y,x)]

In [9]: [(a,b,c,top(a,b), bottom(b,c)) for a in range(1,10) for b in range(1,10) for c in range(1,10) for top in nummakers for bottom in nummakers if top(a,b) != bottom(b,c) if top(a,b)*c == bottom(b,c)*a]

Keybase proof

I hereby claim:

I am michiexile on github.
I am michiexile (https://keybase.io/michiexile) on keybase.
I have a public key whose fingerprint is 7E64 04C5 2F0F B8E7 7449 5D3D B549 A90C C07C CCCD

To claim this, I am signing this object:

	# gap.py
	# (c) 2013 Mikael Vejdemo-Johansson
	# BSD License
	#
	# SciPy function to compute the gap statistic for evaluating k-means clustering.
	# Gap statistic defined in
	# Tibshirani, Walther, Hastie:
	# Estimating the number of clusters in a data set via the gap statistic
	# J. R. Statist. Soc. B (2001) 63, Part 2, pp 411-423