Let P(x,y,z) be any point at one side and Q(s,w,t) be at other side ...then
metric distance = inf{d(P,Q) =sqrt((x-s)^2 +(y-w)^2 +(z-t)^2) : P belongs to side one and Q belongs to other side}
Kilometers
You use exactly the same instruments to measure speed in the metric system as you use in any other system. For example, a speedometer, or a distance measuring device and a stopwatch. The difference is that these devices are calibrated in metric units, instead of old-fashioned units.
You would want to use meters, which is the base for measuring distance. A Meter is roughly 3 feet long. Three other metric distance measurements to be aware of are kilometers, which are 1000 meters, centimeters, which are 1/100 of a meter, and millimeters, which are 1/1000 of a meter.
1 metric ton = 1000 Kg A metric ton is often spelled 'tonne' to distinguish it from other types of tons.
Distance is measured in metres, or a variant which helps keep the number of figures down, like centimetres (cm), millimetres (mm) or kilometres (km). Alternatively, if yu prefer to remain in the stone age, for which I will forgive you, you would measure it with miles (a thousand paces traditionally), feet, inches, poles, and many other peculiar measurements. Please try to convert to metric, as this is what the real world uses. You will struggle on holiday in Europe if you think Imperial.
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|
Metric data is any reading which is at least at an interval scale, as opposed to non metric data, which can be nominal or ordinal. Weight, height, distance, revenue, cost etc. are interval scales or above. Hence they are metric data. On the other hand, satisfaction ratings, Yes/No responses, Male/Female readings etc., are non metric data.
Lebanon and Israel border each other, so about 0 miles or 0 kilometers for the metric system.
Kilometers
You use exactly the same instruments to measure speed in the metric system as you use in any other system. For example, a speedometer, or a distance measuring device and a stopwatch. The difference is that these devices are calibrated in metric units, instead of old-fashioned units.
Distance education is when you take a course or program, for a degree or certificate online. You do your school work the same, and read about it, but you don't go to a classroom with other students, you usually do this from home online.
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
It is possible to define a number of different metrics (measures of distance) on a space and the formula will depend on the metric. A simple pair of metrics to illustrate: imagine a town with a road layout like downtown Manhattan. Streets and Avenues at right angles to one another. The distance from one corner to another is a number of avenues across plus a number of streets up (or down). This is known as the taxicab or Minkowski metric. An alternative measure is a "as-the-crow-flies" distance. Both measures are perfectly valid but will give rise to different formulae. There are other metric, too.
The shortest line between two points is NOT always the segment that joins (or jion) them on a plane: the answer depends on the concept of distance or the metric used for the space. If using a taxicab or Manhattan metric it is the sum of the North-South distance and the East-West distance. There are many other possible metrics.The proof for a general metric is the Cauchy-Schwartz inequality but this site is totally incapable of dealing with the mathematical symbols required to prove it.
A formula is neither metric nor customary. Sometimes the same formula will apply for both systems, only the units will change: for example, average speed = distance/time. In other cases the coefficients may change.
The answer depends on the metric being used. With the "normal" Euclidian metric, the distance in 2-dimensional spance between the points (x1, y1) and (x2, y2) is sqrt[(x1 - x2)2 + (y1 - y2)2]. Analogous formulae can be used in spaces with 3 or more dimensions. If using the Minkowski or Taxicam betric, the distance is |x1 - x2| + |y1 - y2|. This metric, also known as the Manhattan metric, is the sum of the differences in the x and the y coordinates. If you start from the corner of x1 avenue and y1 street in a grid (like Manhattan) and want to go to the corner of x2 avenue and y2 street and assuming you do not tunnel through buildings, the distance that you need to travel is the Minkovski distance. There are many other metrics. In fact, there is a whole subject, within mathematics, called metric spaces!
No, centimeters and other --meters are the metric system.