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Klein Disk Model
Klein may refer to: People *Klein (surname) * Klein (musician) Places *Klein (crater), a lunar feature * Klein, Montana, United States *Klein, Texas, United States * Klein (Ohm), a river of Hesse, Germany, tributary of the Ohm *Klein River, a river in the Western Cape province of South Africa Business *Klein Bikes, a bicycle manufacturer *Klein Tools, a manufacturer *S. Klein, a department store * Klein Modellbahn, an Austrian model railway manufacturer Arts *Klein + M.B.O., an Italian musical group * Klein Award, for comic art *Yves Klein, French artist Mathematics * Klein bottle, an unusual shape in topology *Klein geometry *Klein configuration, in geometry * Klein cubic (other) *Klein graphs, in graph theory *Klein model, or Beltrami–Klein model, a model of hyperbolic geometry *Klein polyhedron, a generalization of continued fractions to higher dimensions, in the geometry of numbers *Klein surface, a dianalytic manifold of complex dimension 1 Other uses * Kleins, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Klein (surname)
Klein is the Dutch, German and Afrikaans word for "small", which came to be used as a surname, and thence passed into the names of places, concepts and discoveries associated with bearers of this surname. It is also a common Jewish surname in the United States, Europe and Brazil. Politics and government * Aaron Klein (born 1979), senior adviser, chief strategist for Prime Minister Benjamin Netanyahu * Arthur George Klein (1904–1968), United States Representative from New York * Clayton Klein (born 1949), American politician in Oregon * Ezra Klein (born 1984), American political writer * Herb Klein (journalist) (1918–2009), American journalist, President Nixon's communications director * Herb Klein (politician) (born 1930), American politician * Herbert G. Klein (1918–2009), American political aide * Jacob Theodor Klein ("Plinius Gedanensium") (1685–1759), Prussian jurist, historian, botanist, mathematician and diplomat * Jacques Paul Klein (born 1939), French-born Unit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Klein Geometry
In mathematics, a Klein geometry is a type of geometry motivated by Felix Klein in his influential Erlangen program. More specifically, it is a homogeneous space ''X'' together with a transitive action on ''X'' by a Lie group ''G'', which acts as the symmetry group of the geometry. For background and motivation see the article on the Erlangen program. Formal definition A Klein geometry is a pair where ''G'' is a Lie group and ''H'' is a closed Lie subgroup of ''G'' such that the (left) coset space ''G''/''H'' is connected. The group ''G'' is called the principal group of the geometry and ''G''/''H'' is called the space of the geometry (or, by an abuse of terminology, simply the ''Klein geometry''). The space of a Klein geometry is a smooth manifold of dimension :dim ''X'' = dim ''G'' − dim ''H''. There is a natural smooth left action of ''G'' on ''X'' given by :g \cdot (aH) = (ga)H. Clearly, this action is transitive (take ), so that one may then regard ''X'' as a homogeneo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kleine
Kleine is a German and Dutch surname meaning "small". Notable people with the surname include: * Andrea Kleine (born 1970), American writer, choreographer, and performance artist * Christian Kleine (born 1974), German musician and DJ * Cindy Kleine (born ), American film director, producer and video artist * George Kleine (1864–1931), American film producer and pioneer * Hal Kleine (1923–1957), American baseball pitcher * Joe Kleine (born 1962), American basketball player * Lil' Kleine (born 1994), stage name of Jorik Scholten (born 1994), Dutch rapper * Megan Kleine (born 1974), American swimmer * Piet Kleine (born 1951), Dutch speed skater * Robert Kleine (born 1941), American Michigan State Treasurer * Theodor Kleine (1924–2014), German sprint canoer * Thomas Kleine (born 1977), German football defender and manager See also * Klein (surname) * Kleijn Kleijn is a Dutch surname meaning "small". The ij digraph is often replaced with a "y" (''Kleyn''). [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Garry Stewart
Garry Stewart (born 1962) is an Australian dancer and choreographer. He was the longest-serving artistic director of the Australian Dance Theatre, taking over from Meryl Tankard in 1999 and finishing his term at the end of 2021. He is renowned for his unusual, post-modern interpretations of classical ballets. Early life and education Garry Stewart was born in 1962. After abandoning his university studies in social work when he was 20, Stewart studied first in Sydney at the Sydney City Ballet Academy (1983), and then at the Australian Ballet School in Melbourne (1984–1985). Dance career He has danced with the Australian Dance Theatre (ADT), the Queensland Ballet, Expressions Dance Company and The One Extra Dance Company (Onex), and has performed in acting roles with the Sydney Theatre Company. He also worked on many independent projects, and in 1989 performed the role of Luke in production of ''Harold in Italy''. He retired from professional dancing at the end of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Klein Technique
Klein may refer to: People *Klein (surname) *Klein (musician) Places * Klein (crater), a lunar feature * Klein, Montana, United States *Klein, Texas, United States *Klein (Ohm), a river of Hesse, Germany, tributary of the Ohm *Klein River, a river in the Western Cape province of South Africa Business * Klein Bikes, a bicycle manufacturer * Klein Tools, a manufacturer * S. Klein, a department store * Klein Modellbahn, an Austrian model railway manufacturer Arts *Klein + M.B.O., an Italian musical group *Klein Award, for comic art * Yves Klein, French artist Mathematics *Klein bottle, an unusual shape in topology *Klein geometry * Klein configuration, in geometry * Klein cubic (other) * Klein graphs, in graph theory *Klein model, or Beltrami–Klein model, a model of hyperbolic geometry * Klein polyhedron, a generalization of continued fractions to higher dimensions, in the geometry of numbers * Klein surface, a dianalytic manifold of complex dimension 1 Other uses * Kl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lineman's Pliers
Lineman's pliers (US English), Kleins (genericized trademark, US usage), linesman pliers (Canadian English), side cutting linesman pliers and combination pliers (UK / US English) are a type of pliers used by Lineworker, linemen, electricians, and other tradesmen primarily for gripping, twisting, bending and cutting wire, Wire rope, cable and small metalwork components. They owe their effectiveness to their plier design, which multiplies force through leverage. Lineman's pliers are distinguished by a flat gripping surface at their snub nose. Combination pliers have a shorter flat surface plus a concave / curved gripping surface which is useful in light engineering to work with metal bar, etc. Both usually have a bevelled cutting edge similar to that on Diagonal pliers in their craw, and each may include an additional gripping, Crimp (joining), crimping, or wire shearing (for a flat ended cut) device at the crux of the handle side of the pliers' joint. Designed for potentially heav ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Klein Surface
In mathematics, a Klein surface is a dianalytic manifold of complex dimension 1. Klein surfaces may have a boundary and need not be orientable. Klein surfaces generalize Riemann surfaces. While the latter are used to study algebraic curves over the complex numbers analytically, the former are used to study algebraic curves over the real numbers analytically. Klein surfaces were introduced by Felix Klein in 1882. A Klein surface is a surface (i.e., a differentiable manifold of real dimension 2) on which the notion of angle between two tangent vectors at a given point is well-defined, and so is the angle between two intersecting curves on the surface. These angles are in the range ,π since the surface carries no notion of orientation, it is not possible to distinguish between the angles α and −α. (By contrast, on Riemann surfaces are oriented and angles in the range of (-π,π] can be meaningfully defined.) The length of curves, the area of submanifolds and the notion of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Klein Polyhedron
In the geometry of numbers, the Klein polyhedron, named after Felix Klein, is used to generalize the concept of continued fractions to higher dimensions. Definition Let \textstyle C be a closed simplicial cone in Euclidean space \textstyle \mathbb^n. The ''Klein polyhedron'' of \textstyle C is the convex hull of the non-zero points of \textstyle C \cap \mathbb^n. Relation to continued fractions Suppose \textstyle \alpha > 0 is an irrational number. In \textstyle \mathbb^2, the cones generated by \textstyle \ and by \textstyle \ give rise to two Klein polyhedra, each of which is bounded by a sequence of adjoining line segments. Define the ''integer length'' of a line segment to be one less than the size of its intersection with \textstyle \mathbb^n. Then the integer lengths of the edges of these two Klein polyhedra encode the continued-fraction expansion of \textstyle \alpha, one matching the even terms and the other matching the odd terms. Graphs associated with the Klein ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Klein Model
Klein may refer to: People * Klein (surname) *Klein (musician) Places * Klein (crater), a lunar feature * Klein, Montana, United States *Klein, Texas, United States *Klein (Ohm), a river of Hesse, Germany, tributary of the Ohm *Klein River, a river in the Western Cape province of South Africa Business * Klein Bikes, a bicycle manufacturer * Klein Tools, a manufacturer * S. Klein, a department store * Klein Modellbahn, an Austrian model railway manufacturer Arts *Klein + M.B.O., an Italian musical group *Klein Award, for comic art * Yves Klein, French artist Mathematics *Klein bottle, an unusual shape in topology * Klein geometry * Klein configuration, in geometry * Klein cubic (other) * Klein graphs, in graph theory * Klein model, or Beltrami–Klein model, a model of hyperbolic geometry * Klein polyhedron, a generalization of continued fractions to higher dimensions, in the geometry of numbers * Klein surface, a dianalytic manifold of complex dimension 1 Other uses * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Klein Graphs
In the mathematical field of graph theory, the Klein graphs are two different but related regular graphs, each with 84 edges. Each can be embedded in the orientable surface of genus 3, in which they form dual graphs. The cubic Klein graph This is a 3- regular ( cubic) graph with 56 vertices and 84 edges, named after Felix Klein. It is Hamiltonian, has chromatic number 3, chromatic index 3, radius 6, diameter 6 and girth 7. It is also a 3- vertex-connected and a 3- edge-connected graph. It has book thickness 3 and queue number 2. It can be embedded in the genus-3 orientable surface (which can be represented as the Klein quartic), where it forms the Klein map with 24 heptagonal faces, Schläfli symbol 8. According to the ''Foster census'', the Klein graph, referenced as F056B, is the only cubic symmetric graph on 56 vertices which is not bipartite. It can be derived from the 28-vertex Coxeter graph. Algebraic properties The automorphism group of the Klein graph is the group ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Klein Configuration
In geometry, the Klein configuration, studied by , is a geometric configuration related to Kummer surface In algebraic geometry, a Kummer quartic surface, first studied by , is an irreducible nodal surface of degree 4 in \mathbb^3 with the maximal possible number of 16 double points. Any such surface is the Kummer variety of the Jacobian variet ...s that consists of 60 points and 60 planes, with each point lying on 15 planes and each plane passing through 15 points. The configurations uses 15 pairs of lines, 12 . 13 . 14 . 15 . 16 . 23 . 24 . 25 . 26 . 34 . 35 . 36 . 45 . 46 . 56 and their reverses. The 60 points are three concurrent lines forming an odd permutation, shown below. The sixty planes are 3 coplanar lines forming even permutations, obtained by reversing the last two digits in the points. For any point or plane there are 15 members in the other set containing those 3 lines. udson, 1905 Coordinates of points and planes A possible set of coordinates for points ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
