Various mathematical documents.

**Connected Sets**: Different meanings of "connected" for point sets, and two results. TeX source, DVI output, PDF output.**Two Coin-Flipping Problems**: How likely is it to get three heads before eight tails? Two solved puzzles. TeX source, PDF output.*Update on 2007-12-29:*Fixed a typo pointed out here.**Vectors**: An unfinished paper with some interesting discussion of vectors and the*hash product*(from which I derived my pseudonym) amid*Principia Mathematica*-ish theorem after theorem. TeX source, PDF output.