Monthly Archives: August 2013

Seven-dimensional cross product

In three dimensions, the familiar cross product is a bilinear function expressible in terms of the Levi-Civita alternating tensor. Specifically, a = b × c can be written as ai = εijk bj ck, which has the following beautiful properties: Bilinearity: … Continue reading

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De Bruijn sequences

Given a finite alphabet Σ of size s and an integer n, a de Bruijn sequence is a cyclic string of symbols, such that each n-symbol string over Σ appears exactly once. For example, taking Σ to be an alphabet of … Continue reading

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