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The Hausdorff distance is the longest distance someone can be forced to travel by an adversary who chooses a point in one of the two sets, from where they then must travel to the other set. In other words, it is the greatest of all the distances from a point in one set to the closest point in the other set.
Here, "object" simply means a distance with endpoints that are always mutually at rest, i.e., that are at rest in the same inertial frame of reference. If the relative velocity between an observer (or his measuring instruments) and the observed object is zero, then the proper length L 0 {\displaystyle L_{0}} of the object can simply be ...
In graph theory and theoretical computer science, the longest path problem is the problem of finding a simple path of maximum length in a given graph.A path is called simple if it does not have any repeated vertices; the length of a path may either be measured by its number of edges, or (in weighted graphs) by the sum of the weights of its edges.
The two dimensional Manhattan distance has "circles" i.e. level sets in the form of squares, with sides of length √ 2 r, oriented at an angle of π/4 (45°) to the coordinate axes, so the planar Chebyshev distance can be viewed as equivalent by rotation and scaling to (i.e. a linear transformation of) the planar Manhattan distance.
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Top row: Mars (left), Mercury (right); bottom row: Moon (left), Pluto (center), and Haumea (right), to scale. The megametre (SI symbol: Mm) is a unit of length in the metric system equal to 1 000 000 meters (10 6 m). To help compare different orders of magnitude, this section lists lengths starting at 10 6 m (1 Mm or 1,000 km).
The Chiefs already have the second-longest streak of consecutive division titles in NFL history after surpassing the 1970s Los Angeles Rams last year. But they still need to win three more in a ...
An 88-year-old former boxer has been found not guilty in a retrial of a 1966 quadruple murder in Japan, ending his ordeal as the longest-serving death row inmate ever.