Abstract: In geometrical computations it is often necessary to find two unit vectors such that they and a given vector form an orthogonal basis. Computationally simple forms for the two unit vectors ...

The log namespace objects at %vector and %exec (for example) don't seem to be available in unit tests. If you run vector with the configuration below, the event will ...

Recently, I was talking about vectors. At that time, I had to stop and recall how I had been representing vectors. Ideally, I should stick with the same notation I used in Basics: Vectors and Vector ...

Unit vectors have a magnitude of 1. The basic unit vectors are \(i = \left( \begin{array}{l}1\\ 0\\0\end{array} \right)\), \(j=\left(\begin{array}{l}0\\1\\0\end{array ...

$$\real^{+}$$; the set of non-negative real numbers. $$(\real^n, \real^n) \rightarrow \real^+$$; a function that takes two vectors of dimension $n$ and returns a non ...

Nearest neighbour search is essential for applications in information retrieval, vector databases and machine-learning systems. Currently, product quantisation (PQ) is the mostly widely used method ...