end{aligned}Since (d_epsilon ) is computed by selecting the shortest path between two points in the (g^epsilon ) metric, then if (sqrt{|x_3|}>epsilon ) one will have (d_epsilon (x,0) le sqrt{|x_3|} approx N_epsilon (x)), whereas at small scales (i.e. for (d_0 x,0)
If this is the case, then the ability of a subject to discriminate between two points would improve if the locus of the responses in SI to the stimuli at the two corresponding skin sites were more clearly defined – i.e., if the spatial extent of the response in SI to a point stimulus waslimited or reduced.
VPNs encrypt internet communications between two points so that even if the data being passed is tapped, it cannot be read.
A point q is between two points p and r if q lies on a shortest path from p to r.
Is it reasonable to make a line between the two points if they are indeed measured in separate experiments.
I've long argued that there should be a test for any officer who wants to serve in Iraq or Afghanistan — just one question: "Do you think the shortest distance between two points is a straight line?" If you answer "yes," you can go to Germany, South Korea or Japan, but not to Iraq or Afghanistan.
So if the line between two points is cut, traffic reverses automatically, ensuring survivability of the network.
If you cut between two points of pressure, the wood is likely to squeeze the blade once cut, and you're more likely to get a kickback.
The geodesic distance between two points is either the dissimilarity d between them, if they are connected in the neighborhood graph, or the shortest weighted path if they are not.
One can, however, believe and even know that there is a current flow between two points without believing, let alone knowing, that there is a voltage difference between the two points, if one fails to know that it is a law that if there is flow of electric current between two points, then there is a voltage difference between these two points (see Jacob 1997 for discussion).
