Killing No Murder, Killing, No Murder
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Killing No Murder, Killing, No Murder
Killing, Killings, or The Killing may refer to: Arts, entertainment, and media Films * ''Killing'' (film), a 2018 Japanese film * ''The Killing'' (film), a 1956 film noir directed by Stanley Kubrick Television * ''The Killing'' (Danish TV series), a police procedural drama first broadcast in 2007 * ''The Killing'' (U.S. TV series), a crime drama based on the Danish television series, first broadcast in 2011 Literature * ''Killing'' (comics), Italian photo comic series about a vicious vigilante-criminal * ''Killing'', a series of historical nonfiction books by Bill O'Reilly and Martin Dugard * "Killings" (short story), a short story by Andre Dubus * ''The Killing'' (Muchamore novel), a CHERUB series installment by Robert Muchamore * ''The Killing'', a 2012 novelization of the Danish TV series by David Hewson Music * "Killing", a song on the album ''Echoes'' by The Rapture * "Killing", a song from an untitled Korn album released in 2007 * ''The Killing'' (EP), by Hatesphe ...
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Killing (film)
is a 2018 Japanese drama film directed by Shinya Tsukamoto. It was selected to be screened in the main competition section of the 75th Venice International Film Festival. Plot Mokunoshin Tsuzuki is a young wandering samurai without a master. He stops in a village of poor peasants to protect them and help them harvest rice. He trains himself by crossing swords with Ichisuke, the teenage son of his host family. One day, an elderly samurai named Sawamura, comes to the village, determined to recruit other warriors to go to Kyoto and fight in the civil war. Tsuzuki agrees to follow him. Sawamura also welcomes the enthusiastic but inexperienced Ichisuke, even though Yu, the latter's sister, is against it. However, a group of disbanded outlaws also arrive at the village, led by Sezaemon Genda. Tsuzuki initially manages to maintain good relations with Genda, but Ichisuke provokes the outlaws, who beat him. Against the advice of Tsuzuki, who would like to keep the peace, Sawamura deci ...
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Killing Tensor
In mathematics, a Killing tensor or Killing tensor field is a generalization of a Killing vector, for symmetric tensor fields instead of just vector fields. It is a concept in pseudo-Riemannian geometry, and is mainly used in the theory of general relativity. Killing tensors satisfy an equation similar to Killing's equation for Killing vectors. Like Killing vectors, every Killing tensor corresponds to a quantity which is conserved along geodesics. However, unlike Killing vectors, which are associated with symmetries (isometries) of a manifold, Killing tensors generally lack such a direct geometric interpretation. Killing tensors are named after Wilhelm Killing. Definition and properties In the following definition, parentheses around tensor indices are notation for symmetrization. For example: :T_ = \frac(T_ + T_ + T_ + T_ + T_ + T_) Definition A Killing tensor is a tensor field K (of some order ''m'') on a (pseudo)-Riemannian manifold which is symmetric (that is, K_ = K_) and sat ...
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Kill (other)
Kill often refers to: *Homicide, one human killing another *cause death, to kill a living organism, to cause its death Kill may also refer to: Media *''Kill!'', a 1968 film directed by Kihachi Okamoto * ''Kill'' (Cannibal Corpse album), 2006 * ''Kill'' (Electric Six album), 2009 * "Kill" (song), a 2008 song by Mell Places in Ireland Republic of Ireland * Kill, County Dublin *Kill, County Kildare *Kill, County Waterford *Kill, Kilbixy, County Westmeath *Kill, Kilcar, County Donegal *Kill, Kilcleagh, County Westmeath United Kingdom * Kill, County Tyrone, a townland in County Tyrone Sports * Baserunner kill, a baseball term *Penalty kill, an ice hockey term *Kill, a type of attack in volleyball Other uses *Kill (body of water) *Kill (command), a computing command See also * * * Keal (other) * Keel (other) * Keele (other) * Kiel (other) * Kil (other) * Kile (other) * Kyl (other) * Kyle (other) * Kyll * T ...
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Claus Killing-Günkel
Claus Killing-Günkel (born Günkel; 9 October 1963), in Esperanto also known as Nikolao Günkel, is a German teacher and interlinguistics, interlinguist. Life Claus J. Killing-Günkel was born Claus J. Günkel in Eschweiler, a city in western Rhineland, where he grew up, attended Gymnasium (Germany), Städtisches Gymnasium Eschweiler and lived from 1963 to 1989 and from 1999 to 2009. From 1982 to 1992, he studied mathematics, computer science and French at the RWTH Aachen University and the University of Paderborn. At the latter, in 1993 and 1994, he was a lecturer in the Department of Education. Since 1997 he works as a Kolleg, berufskolleg teacher. He is also a city guide and until 2012 he was a member of the board of ''Eschweiler Geschichtsverein'' (EGV) (i.e. Eschweiler Historical Society) and of the ''Fördererverein Nothberger Burg'' (i.e. Nothberg Castle Sponsors' Society). He has two children and currently lives in Cologne; since 2010 he is called Killing-Günkel. A ...
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Killings (surname)
Killings is a surname. Notable people with the surname include: * Cedric Killings (born 1977), American football player *Debra Killings (born 1966), American singer and bass guitarist * D. J. Killings (born 1995), American football player *Ron Killings (born 1972), American professional wrestler, actor and rapper See also *Killing (surname) Killing is a surname. Notable people with the surname include: * Alison Killing, British architect and urban designer * Laure Killing (1959–2019), French actress * Wesley Killing (born 1993), Canadian pair skater *Wilhelm Killing (1847–1923), G ...
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Killing (surname)
Killing is a surname. Notable people with the surname include: * Alison Killing, British architect and urban designer * Laure Killing (1959–2019), French actress *Wesley Killing (born 1993), Canadian pair skater *Wilhelm Killing (1847–1923), German mathematician See also *Killings (surname) Killings is a surname. Notable people with the surname include: * Cedric Killings (born 1977), American football player *Debra Killings (born 1966), American singer and bass guitarist * D. J. Killings (born 1995), American football player *Ron Kill ...
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Lie Algebra
In mathematics, a Lie algebra (pronounced ) is a vector space \mathfrak g together with an Binary operation, operation called the Lie bracket, an Alternating multilinear map, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow \mathfrak g, that satisfies the Jacobi identity. The Lie bracket of two vectors x and y is denoted [x,y]. The vector space \mathfrak g together with this operation is a non-associative algebra, meaning that the Lie bracket is not necessarily associative property, associative. Lie algebras are closely related to Lie groups, which are group (mathematics), groups that are also smooth manifolds: any Lie group gives rise to a Lie algebra, which is its tangent space at the identity. Conversely, to any finite-dimensional Lie algebra over real or complex numbers, there is a corresponding connected space, connected Lie group unique up to finite coverings (Lie's third theorem). This Lie group–Lie algebra correspondence, correspondence allows one ...
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Bilinear Form
In mathematics, a bilinear form is a bilinear map on a vector space (the elements of which are called '' vectors'') over a field ''K'' (the elements of which are called ''scalars''). In other words, a bilinear form is a function that is linear in each argument separately: * and * and The dot product on \R^n is an example of a bilinear form. The definition of a bilinear form can be extended to include modules over a ring, with linear maps replaced by module homomorphisms. When is the field of complex numbers , one is often more interested in sesquilinear forms, which are similar to bilinear forms but are conjugate linear in one argument. Coordinate representation Let be an -dimensional vector space with basis . The matrix ''A'', defined by is called the ''matrix of the bilinear form'' on the basis . If the matrix represents a vector with respect to this basis, and analogously, represents another vector , then: B(\mathbf, \mathbf) = \mathbf^\textsf A\mathbf = \ ...
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Killing Form
In mathematics, the Killing form, named after Wilhelm Killing, is a symmetric bilinear form that plays a basic role in the theories of Lie groups and Lie algebras. Cartan's criteria (criterion of solvability and criterion of semisimplicity) show that Killing form has a close relationship to the semisimplicity of the Lie algebras. History and name The Killing form was essentially introduced into Lie algebra theory by in his thesis. In a historical survey of Lie theory, has described how the term ''"Killing form"'' first occurred in 1951 during one of his own reports for the Séminaire Bourbaki; it arose as a misnomer, since the form had previously been used by Lie theorists, without a name attached. Some other authors now employ the term ''" Cartan-Killing form"''. At the end of the 19th century, Killing had noted that the coefficients of the characteristic equation of a regular semisimple element of a Lie algebra are invariant under the adjoint group, from which it follows tha ...
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Riemannian Manifold
In differential geometry, a Riemannian manifold or Riemannian space , so called after the German mathematician Bernhard Riemann, is a real manifold, real, smooth manifold ''M'' equipped with a positive-definite Inner product space, inner product ''g''''p'' on the tangent space ''T''''p''''M'' at each point ''p''. The family ''g''''p'' of inner products is called a metric tensor, Riemannian metric (or Riemannian metric tensor). Riemannian geometry is the study of Riemannian manifolds. A common convention is to take ''g'' to be Smoothness, smooth, which means that for any smooth coordinate chart on ''M'', the ''n''2 functions :g\left(\frac,\frac\right):U\to\mathbb are smooth functions. These functions are commonly designated as g_. With further restrictions on the g_, one could also consider Lipschitz continuity, Lipschitz Riemannian metrics or Measurable function, measurable Riemannian metrics, among many other possibilities. A Riemannian metric (tensor) makes it possible to ...
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Killing Vector Field
In mathematics, a Killing vector field (often called a Killing field), named after Wilhelm Killing, is a vector field on a Riemannian manifold (or pseudo-Riemannian manifold) that preserves the metric. Killing fields are the infinitesimal generators of isometries; that is, flows generated by Killing fields are continuous isometries of the manifold. More simply, the flow generates a symmetry, in the sense that moving each point of an object the same distance in the direction of the Killing vector will not distort distances on the object. Definition Specifically, a vector field ''X'' is a Killing field if the Lie derivative with respect to ''X'' of the metric ''g'' vanishes: :\mathcal_ g = 0 \,. In terms of the Levi-Civita connection, this is :g\left(\nabla_Y X, Z\right) + g\left(Y, \nabla_Z X\right) = 0 \, for all vectors ''Y'' and ''Z''. In local coordinates, this amounts to the Killing equation :\nabla_\mu X_\nu + \nabla_ X_\mu = 0 \,. This condition is expressed ...
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