
One of the types of objects in PRAAT.
An object of type ScalarProduct represents scalar products b_{ij} between objects i and j in a metrical space.
b_{ij} = ∑_{k=1..numberOfDimensions} x_{ik}x_{jk}, 
where x_{ik} and x_{jk} are the coordinates of the kth dimension of points i and j, respectively. From this definition one can see that scalar products, in contrast to distances, do change when the origin is shifted.
Creation
© djmw, January 25, 1998