Girth Of A Nation
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Girth Of A Nation
Girth may refer to: ;Mathematics * Girth (functional analysis), the length of the shortest centrally symmetric simple closed curve on the unit sphere of a Banach space * Girth (geometry), the perimeter of a parallel projection of a shape * Girth (graph theory), the length of a shortest cycle contained in a graph * Matroid girth, the size of the smallest circuit in a matroid ;Music and entertainment * ''Girth'' (album), 1997 album by heavy metal band Winters Bane * Girth (Pushing Daisies), an episode of the TV show ''Pushing Daisies'' * Girth (song), the former name of the Guns N' Roses song "Coma" ;Other * Girth (tack) A girth, sometimes called a cinch (Western riding), is a piece of equipment used to keep the saddle in place on a horse or other animal. It passes under the barrel of the equine, usually attached to the saddle on both sides by two or three leathe ...
, a piece of equipment used to keep a saddle in place on a horse {{disambig ...
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Girth (functional Analysis)
In functional analysis, the girth of a Banach space is the infimum of lengths of centrally symmetric simple closed curves in the unit sphere of the space. Equivalently, it is twice the infimum of distances between opposite points of the sphere, as measured within the sphere... See in particulap. 16 Every finite-dimensional Banach space has a pair of opposite points on the unit sphere that achieves the minimum distance, and a centrally symmetric simple closed curve that achieves the minimum length. However, such a curve may not always exist in infinite-dimensional spaces. The girth is always at least four, because the shortest path on the unit sphere between two opposite points cannot be shorter than the length-two line segment connecting them through the origin of the space. A Banach space for which it is exactly four is said to be ''flat''. There exist flat Banach spaces of infinite dimension in which the girth is achieved by a minimum-length curve; an example is the space '' ...
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Girth (geometry)
In three-dimensional geometry, the girth of a geometric object, in a certain direction, is the perimeter of its parallel projection in that direction... For instance, the girth of a unit cube in a direction parallel to one of the three coordinate axes is four: it projects to a unit square, which has four as its perimeter. Surfaces of constant girth The girth of a sphere in any direction equals the circumference of its equator, or of any of its great circles. More generally, if is a surface of constant width , then every projection of is a curve of constant width, with the same width . All curves of constant width have the same perimeter, the same value as the circumference of a circle with that width (this is Barbier's theorem). Therefore, every surface of constant width is also a surface of constant girth: its girth in all directions is the same number . Hermann Minkowski proved, conversely, that every convex surface of constant girth is also a surface of constant width. Proje ...
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Girth (graph Theory)
In graph theory, the girth of an undirected graph is the length of a shortest cycle contained in the graph. If the graph does not contain any cycles (that is, it is a forest), its girth is defined to be infinity. For example, a 4-cycle (square) has girth 4. A grid has girth 4 as well, and a triangular mesh has girth 3. A graph with girth four or more is triangle-free. Cages A cubic graph (all vertices have degree three) of girth that is as small as possible is known as a -cage (or as a -cage). The Petersen graph is the unique 5-cage (it is the smallest cubic graph of girth 5), the Heawood graph is the unique 6-cage, the McGee graph is the unique 7-cage and the Tutte eight cage is the unique 8-cage. There may exist multiple cages for a given girth. For instance there are three nonisomorphic 10-cages, each with 70 vertices: the Balaban 10-cage, the Harries graph and the Harries–Wong graph. Image:Petersen1 tiny.svg, The Petersen graph has a girth of 5 Image:Heawood_Graph ...
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Matroid Girth
In matroid theory, a mathematical discipline, the girth of a matroid is the size of its smallest circuit or dependent set. The cogirth of a matroid is the girth of its dual matroid. Matroid girth generalizes the notion of the shortest cycle in a graph, the edge connectivity of a graph, Hall sets in bipartite graphs, even sets in families of sets, and general position of point sets. It is hard to compute, but fixed-parameter tractable for linear matroids when parameterized both by the matroid rank and the field size of a linear representation. Examples The "girth" terminology generalizes the use of girth in graph theory, meaning the length of the shortest cycle in a graph: the girth of a graphic matroid is the same as the girth of its underlying graph.. The girth of other classes of matroids also corresponds to important combinatorial problems. For instance, the girth of a co-graphic matroid (or the cogirth of a graphic matroid) equals the edge connectivity of the underlying graph ...
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Girth (album)
''Girth'' is Winters Bane's second album. It was released in 1997 as an Independent music, independent recording. It was later re-released by DCA Recordings (record label), DCA Recordings with the artist as ''Kill Procedure''. Track listing #"C4" - 2:48 #"Kill Procedure" - 3:26 #"Away" - 5:19 #"Color" - 3:17 #"X-iled" - 4:33 #"Alexandria" - 4:04 #"Porcelain God" - 4:10 #"Hunting Time" - 3:02 #"Download" - 3:41 #"Spells Death" - 4:48 #"Dark Paradise" - 3:22 Credits *Lou St. Paul - Vocals/Guitars *Dennis Hayes (bassist), Dennis Hayes - Bass *Todd Bertolette - Drums References 1997 albums Winter's Bane albums {{1990s-thrash-metal-album-stub ...
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Girth (Pushing Daisies)
''Pushing Daisies'' is an American comedy-drama television series created by Bryan Fuller that aired on American Broadcasting Company, ABC. It premiered in the United States on ABC on October 3, 2007; in Canada on October 2, 2007 on CTV Television Network, CTV; and aired in the UK on ITV Network, ITV. Series overview Episodes Season 1 (2007) Due to the 2007–08 Writers Guild of America strike, this season consisted of only nine episodes. The episodes aired a day earlier in Canada on CTV Television Network, CTV before their air dates in the United States. Season 2 (2008–09) ''Pushing Daisies'' was renewed for a second season in February 2008 by American Broadcasting Company, ABC for the 2008–09 United States network television schedule, 2008–09 television season. On November 20, 2008, after six episodes were broadcast, ABC canceled the show. A total of thirteen episodes were produced for the season, with four of them broadcast in November and December. The final three ...
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Girth (song)
"Coma" is a song by the hard rock band Guns N' Roses. It is the final song on their album ''Use Your Illusion I''. At 10 minutes and 14 seconds, it is the longest track released by the band, and has no chorus (song), choruses. Composition Slash (musician), Slash states that he wrote the music to this song in a house he and Izzy Stradlin rented in Hollywood Hills, following the ''Appetite for Destruction'' tours. In a 2011 interview, he stated he wrote the song in a "heroin delirium". In an interview, Axl Rose talks about writing "Coma": In an interview, on August 31, 1990, with MTV's Kurt Loder on ''Famous Last Words'', Axl talks about the song "Coma": Reception Coma was ranked the 19th best Guns N' Roses song by Kerrang!. Live performances From 1991-1993 the song was performed only four times. A rare live version was featured on Japanese and vinyl record, vinyl copies of the Guns N' Roses live album ''Live Era: '87-'93''. On April 8, 2016, the song was performed for the f ...
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