Distance is a numerical measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
A physical distance can mean several different things:
Distance traveled: The length of a single route taken between two points, such as the distance walked in a labyrinth.
Straight-line (Euclidean) distance: The length of the shortest possible path through space between two points if no obstacles existed (usually formalized as Euclidean distance)
Geodesic distance: The length of the shortest path between two points when staying on a surface, such as the great-circle distance along Earth's curve.
The length of a certain path that returns to the starting point, such as a straight-up ball or the Earth after one orbit.
"Circular distance" is the distance traveled by a wheel, which may be helpful when modeling cars or mechanical gears. The diameter of the wheel is 2 radians, and if the radius is 1, then each rotation of the wheel corresponds to a distance of 2 radians. In engineering, = 2 is often used, where is the frequency.
In mathematics, A metric space is a set in which the distances between its members are described. Many different types of "distances" can be measured in this manner, such as for graph traversal, distribution, and curve comparison, and using uncommon meanings of "space" (for example using a manifold or reflections).
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B. Distance
Distance is a numerical measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
A physical distance can mean several different things:
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