The similarity ratio is equivalent to Jaccard similarity, but the distance function is " not " the same as Jaccard distance.
32.
A distance function on the underlying space corresponds to a filtration of the simplicial complex, that is a nested sequence of increasing subsets.
33.
The usual distance function is not a metric on this space because the topology it determines is the usual topology, not the lower limit topology.
34.
It can be defined easily by a distance function : if we are given a metric d on S inducing its topology then the function defined by
35.
More precisely, the Riemannian distance function of "'S "'1 is the restriction of the ambient Riemannian distance on the sphere.
36.
Minimum Mahalanobis distance functions and lithic source characterisation by multi-element analysis . " New Zealand Journal of Archaeology " 4 : 77 109.
37.
When the cities are viewed as points in the plane, many natural distance functions are metrics, and so many natural instances of TSP satisfy this constraint.
38.
Since the algorithm uses distance functions and requires the specification of distance thresholds, its applicability for high-dimensional data is limited by the curse of dimensionality.
39.
Only when a cheap and approximative low-dimensional distance function is available, the produced canopies will preserve the clusters produced by K-means.
40.
In the 1960s, once most phone subscribers had direct long-distance dialing, a single type of operator began to serve both the local and long distance functions.
