FKT (other)
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FKT (other)
FKT may refer to: * Falkland Islands Time * Fastest known time A fastest known time (FKT) is the speed record for a running or hiking route. Unlike most endurance sports competitions such as marathon world records, FKTs are self-organized and done alone or in small groups. FKTs are most popular on long trails ..., to complete a route * FKT algorithm, in graph theory * FK Tønsberg, a Norwegian football club {{disambiguation ...
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Falkland Islands Time
The Falkland Islands has officially used Falkland Islands Standard Time ( UTC−3) all year round since 5 September 2010. However, many residents of Camp Camp may refer to: Outdoor accommodation and recreation * Campsite or campground, a recreational outdoor sleeping and eating site * a temporary settlement for nomads * Camp, a term used in New England, Northern Ontario and New Brunswick to descri ... use UTC−4, known on the Falklands as "Camp Time" (as opposed to "Stanley time" or "Government clocks"). The Falklands used Stanley Mean Time (UTC−3:51:24) until 11 March 1912 when Falkland Islands Time (FKT, UTC−4) came into effect. FKT was then used all year round until 25 September 1983 when Falkland Islands Summer Time (FKST, UTC−3) was first introduced for the summer period of the year. FKT was then used in the winter period (April–September) and FKST in the summer period (September–April) until April 2011 when the Falkland Islands Government decided not to put th ...
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Fastest Known Time
A fastest known time (FKT) is the speed record for a running or hiking route. Unlike most endurance sports competitions such as marathon world records, FKTs are self-organized and done alone or in small groups. FKTs are most popular on long trails suitable for thru-hiking or ultramarathon trail running such as the Appalachian Trail, the Pennine Way, and the John Muir Trail. History Informal, unverified speed records have long existed on named trails, but the invention of handheld GPS devices, such as GPS watches or personal locator beacons, made it significantly easier and more reliable to collect and compare fastest times on a route even in the backcountry. The modern FKT movement has been cataloged on a tracking website, fastestknowntime.com, founded by outdoor enthusiasts Pete Bakwin and Buzz Burrell, who coined the term FKT in the year 2000. FKT popularity exploded most recently due to trail races being cancelled due to the COVID 19 pandemic. While there is no governing ...
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FKT Algorithm
The FKT algorithm, named after Fisher, Kasteleyn, and Temperley, counts the number of perfect matchings in a planar graph in polynomial time. This same task is #P-complete for general graphs. For matchings that are not required to be perfect, counting them remains #P-complete even for planar graphs. The key idea of the FKT algorithm is to convert the problem into a Pfaffian computation of a skew-symmetric matrix derived from a planar embedding of the graph. The Pfaffian of this matrix is then computed efficiently using standard determinant algorithms. History The problem of counting planar perfect matchings has its roots in statistical mechanics and chemistry, where the original question was: If diatomic molecules are adsorbed on a surface, forming a single layer, how many ways can they be arranged? The partition function is an important quantity that encodes the statistical properties of a system at equilibrium and can be used to answer the previous question. However, trying t ...
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