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The curve of fastest descent is not a straight or polygonal line (blue) but a cycloid (red).. In physics and mathematics, a brachistochrone curve (from Ancient Greek βράχιστος χρόνος (brákhistos khrónos) 'shortest time'), [1] or curve of fastest descent, is the one lying on the plane between a point A and a lower point B, where B is not directly below A, on which a bead slides ...
Dijkstra's algorithm to find the shortest path between a and b. It picks the unvisited vertex with the lowest distance, calculates the distance through it to each unvisited neighbor, and updates the neighbor's distance if smaller. Mark visited (set to red) when done with neighbors. Dijkstra's algorithm (/ ˈdaɪkstrəz / DYKE-strəz) is an ...
By convention, most follow the Guinness World Record (GWR) rules. These state that the journey should be continuous and in one direction (East to West or West to East), that the minimum distance ridden should be 18,000 miles (29,000 km), and that the total distance travelled by the bicycle and rider should exceed an Equator's length.
John o' Groats. Land's End to John o' Groats is the traversal of the length of the island of Great Britain between two extremities, in the southwest and northeast. The traditional distance by road is 874 miles (1,407 km) and takes most cyclists 10 to 14 days; the record for running the route is nine days. Off-road walkers typically walk about ...
Bellman–Ford algorithm. The Bellman–Ford algorithm is an algorithm that computes shortest paths from a single source vertex to all of the other vertices in a weighted digraph. [1] It is slower than Dijkstra's algorithm for the same problem, but more versatile, as it is capable of handling graphs in which some of the edge weights are ...
After corresponding edges are added (red), the length of the Eulerian circuit is found. In graph theory, a branch of mathematics and computer science, Guan's route problem, the Chinese postman problem, postman tour or route inspection problem is to find a shortest closed path or circuit that visits every edge of an (connected) undirected graph ...
Bernard Moitessier (April 10, 1925 – June 16, 1994) was a French sailor, most notable for his participation in the 1968 Sunday Times Golden Globe Race, the first non-stop, singlehanded, round the world yacht race. With the fastest circumnavigation time towards the end of the race, Moitessier was the likely winner for the fastest voyage, [1 ...
1977: First alpine-style ascent of the Eiger Direct (Harlin Route) by Alex MacIntyre (UK) and Tobin Sorenson (US). [9] 1977: First Dutch ascent of the face by Ronald Naar and Bas Gresnigt. 1978: First Polish winter ascent of the face by Andrzej Czok, Walenty Fiut , Janusz Skorek and Jan Wolf, the fastest winter ascent at that time.