Articles in the Blog category

  1. Intuition for Mrs. Gerber's Lemma

    Mrs. Gerber's Lemma: X is a length-n binary word with arbitrary distribution and Y is a corruption of X through a binary symmetric channel with crossover probability p. If H(X) \geq nv then H(Y) \geq nh(v')

  2. Modifying a Plustek 8100 to Scan Medium Format

    The Plustek 8100 is a relatively cheap but good quality film scanner. It produces much nicer scans than most flatbed-type scanners, but it can only capture small format film. In this page I show how to modify a Plustek 8100 to scan medium format (120 film) by stitching together multiple …

  3. Hypersphere Cap Volumes in Matlab

    The volume of a height-h cap of a ball of radius r in dimension n can be derived:

    \begin{equation} \operatorname{vol}(\operatorname{cap}) = \frac{1}{2} \cdot \frac{\pi^{n/2}}{\Gamma\left(1+n/2\right)} \cdot r^n \cdot I_{(2rh-h^2)/r …

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