Metric (mathematics)

The distance between two points is the length of a straight line segment between them. In the case of two locations on Earth, usually the distance along the surface is meant: either "as the crow flies" (along a great circle) or by road, railroad, etc. Distance is sometimes expressed in terms of the time to cover it, for example walking or by car. Sometimes a distance thus indicated is ambiguous because the means ...

Including:

• Distance - Distance covered
• Distance - Formal definition
• Distance - The distance formula
• Distance - Generalized distance in arbitrary dimensions: Norms
• Distance - Distances in other spaces

Read more here: » Distance: Encyclopedia - Distance

A distance between two points P and Q in a metric space is d(P,Q), where d is the distance function that defines the given metric space. We can also define the distance between two sets A and B in a metric space as being the minimum (or infimum) of distances between any two points P in A and Q in B. Alternatively, the distance between sets may indicate "how different they are", by taking the supremum over one set of the distance from a point in that set to the other set, and conversely, and taking the ...

See also:

Distance, Distance - Distance covered, Distance - Formal definition, Distance - The distance formula, Distance - Generalized distance in arbitrary dimensions: Norms, Distance - Distances in other spaces

Read more here: » Distance: Encyclopedia II - Distance - Formal definition