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Tilting Helmet
Tilting may refer to: * Tilt (camera), a cinematographic technique * Tilting at windmills, an English idiom * Tilting theory, an algebra theory * Exponential tilting, a probability distribution shifting technique * Tilting three-wheeler, a vehicle which leans when cornering while keeping all of its three wheels on the ground * Tilting train, a train with a mechanism enabling increased speed on regular railroad tracks * Tilting, Newfoundland and Labrador, a town on Fogo Island, Canada * Tilting, a type of jousting Jousting is a martial game or hastilude between two horse riders wielding lances with blunted tips, often as part of a tournament (medieval), tournament. The primary aim was to replicate a clash of heavy cavalry, with each participant trying t ...
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Tilt (camera)
Tilting is a cinematographic technique in which the camera stays in a fixed position but rotates up/down in a vertical plane. Tilting the camera results in a motion similar to someone raising or lowering their head to look up or down. It is distinguished from panning in which the camera is horizontally pivoted left or right. Pan and tilt can be used simultaneously. In some situations the lens itself may be tilted with respect to the fixed camera body in order to generate greater depth of focus. The camera's tilt will change the position of the horizon, changing the amount of sky or ground that is seen. Tilt downward is usually required for a high-angle shot and bird's-eye view while a tilt upward is for a low-angle shot and worm's-eye view. The vertical offset between subjects can reflect differences in power, with superior being above. Tilting can be used as a reveal as in tilting up from seeing the murder victim, to the weapon, to the identity of the killer. It can also ...
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Tilting At Windmills
is a Spanish epic novel by Miguel de Cervantes. Originally published in two parts, in 1605 and 1615, its full title is ''The Ingenious Gentleman Don Quixote of La Mancha'' or, in Spanish, (changing in Part 2 to ). A founding work of Western literature, it is often labelled as the first modern novel and one of the greatest works ever written. ''Don Quixote'' is also one of the most-translated books in the world. The plot revolves around the adventures of a member of the lowest nobility, an hidalgo from La Mancha named Alonso Quijano, who reads so many chivalric romances that he either loses or pretends to have lost his mind in order to become a knight-errant () to revive chivalry and serve his nation, under the name . He recruits a simple farmer, Sancho Panza, as his squire, who often employs a unique, earthy wit in dealing with Don Quixote's rhetorical monologues on knighthood, already considered old-fashioned at the time, and representing the most droll realism in contrast ...
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Tilting Theory
In mathematics, specifically representation theory, tilting theory describes a way to relate the module categories of two algebras using so-called tilting modules and associated tilting functors. Here, the second algebra is the endomorphism algebra of a tilting module over the first algebra. Tilting theory was motivated by the introduction of reflection functors by ; these functors were used to relate representations of two quivers. These functors were reformulated by , and generalized by who introduced tilting functors. defined tilted algebras and tilting modules as further generalizations of this. Definitions Suppose that ''A'' is a finite-dimensional unital associative algebra over some field. A finitely-generated right ''A''-module ''T'' is called a tilting module if it has the following three properties: *''T'' has projective dimension at most 1, in other words it is a quotient of a projective module by a projective submodule. * Ext(''T'',''T'' ) = 0. *The righ ...
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Exponential Tilting
Exponential Tilting (ET), Exponential Twisting, or Exponential Change of Measure (ECM) is a distribution shifting technique used in many parts of mathematics. The different exponential tiltings of a random variable X is known as the natural exponential family of X. Exponential Tilting is used in Monte Carlo Estimation for rare-event simulation, and rejection and importance sampling in particular. In mathematical finance Exponential Tilting is also known as Esscher tilting (or the Esscher transform), and often combined with indirect Edgeworth approximation and is used in such contexts as insurance futures pricing. The earliest formalization of Exponential Tilting is often attributed to Esscher with its use in importance sampling being attributed to David Siegmund. Overview Given a random variable X with probability distribution \mathbb, density f, and moment generating function (MGF) M_X(\theta) = \mathbb ^. Example The exponentially tilted measure in many cases has the ...
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Tilting Three-wheeler
A tilting three-wheeler, tilting trike, leaning trike, or even just tilter, is a three-wheeled vehicle and usually a narrow-track vehicle whose body and or wheels tilt in the direction of a turn. Such vehicles can corner without rolling over despite having a narrow axle track because they can balance some or all of the roll moment caused by centripetal acceleration with an opposite roll moment caused by gravity, as bicycles and motorcycles do. This also reduces the lateral acceleration experienced by the rider, which some find more comfortable than the alternative. The narrow profile can result in reduced aerodynamic drag and increased fuel efficiency. These types of vehicles have also been described as "man-wide vehicles" (MWV). As with tricycles that do not tilt, there are a variety of feasible choices of how the wheels are arranged, which wheels are steered, and which wheels are driven. In addition, there are a variety of feasible choices for which wheels tilt and whic ...
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Tilting Train
A tilting train is a train that has a mechanism enabling increased speed on regular rail tracks. As a train (or other vehicle) rounds a curve at speed, objects inside the train experience centrifugal force. This can cause packages to slide about or seated passengers to feel squashed by the outboard armrest, and standing passengers to lose their balance. Tilting trains are designed to counteract this by tilting the carriages towards the inside of the curve, thus compensating for the g-force. The train may be constructed such that inertial forces cause the tilting (''passive tilt''), or it may have a computer-controlled powered mechanism (''active tilt''). The first passive tilting car design was built in the US in 1937, and