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When the cities are viewed as points in the plane, many natural distance functions are metrics, and so many natural instances of TSP satisfy this constraint. The following are some examples of metric TSPs for various metrics. In the Euclidean TSP (see below), the distance between two cities is the Euclidean distance between the corresponding ...
A diagram illustrating great-circle distance (drawn in red) between two points on a sphere, P and Q. Two antipodal points, u and v are also shown. The great-circle distance, orthodromic distance, or spherical distance is the distance between two points on a sphere, measured along the great-circle arc between them. This arc is the shortest path ...
A journey planner, trip planner, or route planner is a specialized search engine used to find an optimal means of travelling between two or more given locations, sometimes using more than one transport mode. [1] [2] Searches may be optimized on different criteria, for example fastest, shortest, fewest changes, cheapest. [3]
For example, the section between the cities Hecatompylos and Alexandria Areion, which later became a part of the Silk Road, was given by Alexander's bematists as 575 Roman miles (529 English miles) long, that is with a deviation of 0.2% from the actual distance (531 English miles).
Citymapper is a British public transit app and mapping service [4] [5] which displays transport options, usually with live timing, between any two locations in a supported city. It integrates data for all urban modes of transport , including walking, cycling and driving, in addition to public transport. [ 6 ]
A mileage sign, sometimes also called a route confirmation sign or simply a distance sign in certain contexts, is a type of road sign along highways that displays the distance from the current point on a highway to a certain city, destination, or a junction to another highway. Their purpose is to inform drivers of the distance to a destination ...
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Interstate 5 is the second-longest freeway in Oregon, at 308 miles (496 km), and is the only Interstate to traverse the state from north to south. [4] The highway connects several of the state's largest metropolitan areas, which lie in the Rogue and Willamette valleys, [5] and passes through counties with approximately 81 percent of Oregon's population. [6]
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