For a hop to another network that is close, if you want it to be a preferred route the cost metric must be a low number. Depending on which protocol you use for routing, this number should be lower than other numbers as alternate routes.
The metric of a geometric space is defined as the distance between two points.
It is simply called the distance between the two points - simple as that. How that distance is measured will depend on the nature of the surface on which the two points are located as well as on the metric for measuring distance that is defined on that space.The common metric in Euclidean space is the Pythagorean distance while on the surface of a sphere (like the Earth, for example), distances are measured along the great arc.
There are many ways to measure distance in math. Euclidean distance is one of them. Given two points P1 and P2 the Euclidean distance ( in two dimensions, although the formula very easily generalizes to any number of dimensions) is as follows: Let P1 have the coordiantes (x1, y1) and P2 be (x2, y2) Then the Euclidean distance between them is the square root of (x2-x1)2+(y2-y1)2 . To understand some other ways of measuring "distance" I introduce the term METRIC. A metric is a distance function. You put the points into the function (so they are its domain) and you get the distance as the output (so that is the range). Another metric is the Taxicab Metric, formally known as the Minkowski distance. We often use the small letter d to mean the distance between points. So d(P1, P2) is the distance between points. Using the Taxicab Metric, d(x, y) = |x1 - x2| + |y2 - y2|
In a distance vector routing protocol, such as RIP or EIGRP, each router sends its routing table to neighboring routers. The routers don't know the topology, i.e., how other routers are interconnected. In a link state routing protocol, such as OSPF or IS-IS, routers first exchange information about connections within the network (or an area of the network), and build a topology table. Then each router uses Dijkstra's algorithm to calculate the best route to each destination.
The question is too vague for a proper answer. Distance can crop up in the context of speed, acceleration, kinetics, etc. In each case the definition and formula may vary. There is also the concept of distance between two points in a metric space and the measure of distance will depend on the metric defined on the space. The Euclidean (or Pythagorean) metric and the Minkovsky (or taxicab) metric are two of the more common metrics but there are loads more.
Yes, because the distance is a metric which is defined in that way.
Yes, because the distance is a metric which is defined in that way.
Depends on the metric defined on the space. The "normal" Euclidean metric for the distance between two points is the length of the shortest distance between them - ie the length of the straight line joining them. If the coordinates of the two points (in 2-dimensions) are (a,b) and (c,d) then the distance between them is sqrt([(a - c)2 + (b - d)2] This can be generalised to 3 (or more) dimensions. However, there are other metrics. One such is the "Manhattan metric" or the "Taxicab Geometry" which was developed by Minkowski. For more information on that, see http://en.wikipedia.org/wiki/Manhattan_metric
A distance formula is derived from a metric that is defined over the relevant space. There are many different ways of defining a metric.A simple one is sometimes called the taxi cab or Manhattan metric. In a grid environment, the distance between two points is the sum of the North-South distance and the East-West distance.
A circle. However, that DOES depend on the Euclidean metric being used for measuring distance.
The word, metric, means referring to a measure: it is a measure of some characteristic and how it is measured depends on the way in which it is defined. This may be illustrated by considering the metric for distance. Conventionally, the metric for the distance between two points is the length of the straight line joining them. However, on the surface of a sphere, for example, it is a length along the "Great Circle". In a Minkovski space (for example a road grid like in Manhattan) it is the North-South distance plus the East-West distance.
Any metric or non-metric units can be represented by points on the plotted line.