Glossary of graph theory

This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes or vertices connected in pairs by edges.

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κ(G) is the size of the maximum clique in G; see clique.

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References

Trail (horse show)

Trail is a competitive class at horse shows where horses and riders in western-style attire and horse tack navigate a series of obstacles. Contestants ride the course one at a time. Originally designed to resemble situations a horse and rider might actually encounter when on a trail in a natural habitat, modern trail classes now tend to focus more heavily on agility and manners, with courses bearing very little resemblance to real-world natural trails.

A typical trail course requires horse and rider to open and pass through a small gate while mounted; walk across a fake bridge; cross over a set of rails or logs at a walk, trot or lope; back up, often with a turn while backing; sidepass, often over a rail or log; turn on the forehand or hindquarters within a confined area; and tolerate some type of "spooky" obstacle, such as having the rider put on a vinyl raincoat. The horse is asked to perform all three gaits in the process of completing the course.

Additional obstacles or tests may include walking over a plastic tarp or through water; having the horse ground-tie (remain standing in one spot while the rider walks away); to walk, trot or lope in very tight quarters, such as traveling through a series of cones or markers in a serpentine pattern; or take a small jump (usually under 18 inches, as riders are in western saddles and cannot easily get off the horse's back into a jumping position).

400 Trail

The 400 Bike Trail is a 22-mile (35 km) rail trail between Reedsburg and Elroy, Wisconsin. It is designed for foot, bicycle, equestrian, snowmobile traffic. It is designated as a multiuse trail, offering recreational access to the routes, and is open to the public.

It is one of four connecting bike trails in west-central Wisconsin that spans approximately one-third of the state. The trail is known for its rural scenery of the Baraboo River which it crosses eleven times. It is part of the larger Wisconsin bike trail system, operated by the state of Wisconsin.

The four connecting west central Wisconsin trails, known as the Bike 4 Trails, going from southeast to northwest are:

  • the 400 Trail (22 mi or 35 km)
  • the Elroy-Sparta State Trail (32 mi or 51 km)
  • the La Crosse River Trail (22 mi or 35 km)
  • the Great River Trail (24 mi or 39 km)
  • The 400 trail connects to the Elroy-Sparta State Trail in Elroy.

    The trail headquarters is located in a historic depot in Reedsburg and is open from May 1 through October 31. There is a $4.00 per day fee for use of the trail if one does not have the $20.00 yearly Wisconsin bike trail pass. Bike lights are advisable even on the brightest summer days when going into the long unlit tunnels. Camping, lodging, food, parking, bike rentals and information are available at many points along the trail.

    Force

    In physics, a force is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity (which includes to begin moving from a state of rest), i.e., to accelerate. Force can also be described by intuitive concepts such as a push or a pull. A force has both magnitude and direction, making it a vector quantity. It is measured in the SI unit of newtons and represented by the symbol F.

    The original form of Newton's second law states that the net force acting upon an object is equal to the rate at which its momentum changes with time. If the mass of the object is constant, this law implies that the acceleration of an object is directly proportional to the net force acting on the object, is in the direction of the net force, and is inversely proportional to the mass of the object

    Related concepts to force include: thrust, which increases the velocity of an object; drag, which decreases the velocity of an object; and torque, which produces changes in rotational speed of an object. In an extended body, each part usually applies forces on the adjacent parts; the distribution of such forces through the body is the so-called mechanical stress. Pressure is a simple type of stress. Stress usually causes deformation of solid materials, or flow in fluids.

    Force (Superfly album)

    Force is the fourth studio album by Japanese pop-rock unit Superfly. It was released on September 19, 2012. Force commemorates the group's fifth anniversary and was released in several formats, including a special fifth anniversary edition which includes a bonus CD (included with the first-press releases), a vinyl version of the album, and a commemorative poster. Japanese convenience store Lawson will also exclusively sell a special edition of the album which includes a bonus DVD. On the iTunes Store, the album will be packaged with one bonus track, with a second reserved for those who pre-ordered the album.

    The album's title comes from both the English word "force" as well as the similarity between the Japanese pronunciations of "force" and "fourth".

    To support Force, Superfly is going on two separate tours, the "Live Force" national concert hall tour from October 2012 through January 2013 and the tentatively titled "Superfly Arena Tour 2013" in March and April 2013.

    Force (song)

    "Force" is a song by Japanese rock unit Superfly. It is a song from the album of the same name, serving as its title track. It is being released as a re-cut single on October 31, 2012. The song, on its own, is used as the theme song for the TV Asahi drama Doctor X, and as a radio single reached 46 on the Billboard Japan Hot 100.

    Track listing

    References

    External links

  • "Force" on Superfly-web.com
  • Podcasts:

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