How do you find the distance between (3,-2) and (5,-3)?
The (Euclidean) distance
#d = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)#
In our example,
#d = sqrt((5-3)^2+(-3-(-2))^2) = sqrt(2^2+(-1)^2) = sqrt(4+1) = sqrt(5)#
Suppose you are in Manhattan Center and you need to walk from 399 West 14th street to Empire State Building. What is the shortest feasible path to perform this walk? How do you measure distances in this case? Depending on the terrain topology there are more adequate ways of measuring distances. For the afore mentioned Manhattan trip, a feasible distance formula between points
There are a lot of ways of distance measure. What criteria must obey a measure to be a distance?