Sentence examples for preserve distance from inspiring English sources
Some metric spaces admit the action of groups that preserve distance, others do not, but distance can be defined without talking about a group.
In the Poincare disk the conformal transformations preserve distance relationships, rotations about the center being a special case.
Note that this is very different from measuring projections of a sample's SAMM along mechanistic or any other non-orthogonal signatures, since this procedure will not preserve distance.
The geographic locations of each postal code from the PCCF and the hospital are recorded in latitude and longitude; therefore, in order to implement distance computations, the road network is projected using an equidistant projection system, which is chosen in order to preserve distance and produce consistent distance measurements [ 26].
Not only that, if you keep the same idea of projecting down in such a way to preserve distances, but you drop the linearity assumption.
Graph spanners (subgraphs which approximately preserve distances) have been studied extensively since the 1980's.
MDS attempts to preserve distances in high dimensional space with those lower dimensional space.
The goal of a minimum spanning tree is minimum weight, while the goal of a shortest path tree is to preserve distances from the root [35].
This is largely due to the fact that carefully chosen projection measurements preserve distances (up to a constant factor) among pairs of vectors in a finite collection, where as the downsampled measurements fail to preserve distances among vectors that are very similar to each other.
This two-step procedure is studied in[3] for the case y i = y ~ i where the authors provide bounds on the number of projection measurements needed to preserve distances among manifolds.
Moreover, various hashing techniques attempt to preserve distances between points in different ways, such that the user must be savvy enough to understand these assumptions in order to choose the best approach [97,98].
