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Limit
Limit or Limits may refer to: Arts and media * ''Limit'' (manga), a manga by Keiko Suenobu * ''Limit'' (film), a South Korean film * Limit (music), a way to characterize harmony * "Limit" (song), a 2016 single by Luna Sea * "Limits", a 2019 song by Paenda; see Austria in the Eurovision Song Contest 2019 * ''Limits'' (collection), a collection of short stories and essays by Larry Niven * The Limit, a Dutch band *The Limit, an episode from ''The Amazing World of Gumball'' Mathematics * Limit (mathematics), the value that a function or sequence "approaches" as the input or index approaches some value ** Limit of a function ***(ε,_δ)-definition of limit, formal definition of the mathematical notion of limit ** Limit of a sequence ** One-sided limit, either of the two limits of a function as a specified point is approached from below or from above * Limit of a net * Limit point, in topological spaces * Limit (category theory) ** Direct limit ** Inverse limit Other uses * ...
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Speed Limit
Speed limits on road traffic, as used in most countries, set the legal maximum speed at which vehicles may travel on a given stretch of road. Speed limits are generally indicated on a traffic sign reflecting the maximum permitted speed - expressed as kilometres per hour (km/h) and/or miles per hour (mph). Speed limits are commonly set by the legislative bodies of national or provincial governments and enforced by national or regional police and judicial authorities. Speed limits may also be variable, or in some places nonexistent, such as on most of the Autobahnen in Germany. The first numeric speed limit for automobiles was the limit introduced in the United Kingdom in 1861. the highest posted speed limit in the world is , applied on two motorways in the UAE. Speed limits and safety distance are poorly enforced in the UAE, specifically on the Abu Dhabi to Dubai motorway - which results in dangerous traffic, according to a French-government travel-advisory. Additionally, ...
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Limitless (other)
Limitless may refer to: Arts and entertainment * ''Limitless'' (book), the republished title of the novel ''The Dark Fields'' ** ''Limitless'' (film), a 2011 film based on the book ** ''Limitless'' (TV series), a 2015 American television series based on the film * "Limitless", a sculpture by Avtarjeet Singh Dhanjal Music Albums * ''Limitless'' (Crown the Empire EP), 2011 * ''Limitless'' (NCT 127 EP), 2017 * ''Limitless'' (Planetshakers album), 2013 * ''Limitless'' (Temperance album), 2015 (or its title song) * ''Limitless'' (Tonight Alive album), 2016 * ''Limitless'' (The Piano Guys album), 2018 * ''Limitless'', a 2020 album by Richard Marx Songs * " Limitless (Burns song)", a 2013 song performed by British record producer Burns * " Limitless (Megan Washington song)", a 2014 single by Megan Washington * " Limitless (Jennifer Lopez song)", a 2018 song performed by American singer Jennifer Lopez * "Limitless", a 2012 song by French singer Nolwenn Leroy on her album ''Ô ...
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Limit (film)
''Limit'' () is a 2022 South Korean crime thriller film directed by Lee Seung-Jun, starring Lee Jung-hyun, Moon Jeong-hee, Choi Deok-moon and Park Myung-hoon. The film revolves around life safety policewoman So-eun, who as an undercover officer plays the mother of a serial kidnapping victim, faces the extreme crisis while solving the worst kidnapping ever case. It was released on August 31, 2022. Cast * Lee Jung-hyun as So-eun, a police officer from the Life Safety Department, playing role of a mother of serial kidnapping victim * Moon Jeong-hee as Hye-jin, a friendly elementary school health teacher during the day, but a vicious villain * Jin Seo-yeon as Yeon-joo, a strong mother, who is the starting point of a child serial kidnapping case * Choi Deok-moon as Seong-chan, a detective in the homicide squad * Park Myung-hoon as Joon-yong, a maniac with a ruthless personality and a member of a criminal group * Park Kyung-hye as Myeong-seon, vicious villain duo with Joon-yong * ...
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Limit Of A Function
Although the function (sin ''x'')/''x'' is not defined at zero, as ''x'' becomes closer and closer to zero, (sin ''x'')/''x'' becomes arbitrarily close to 1. In other words, the limit of (sin ''x'')/''x'', as ''x'' approaches zero, equals 1. In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input. Formal definitions, first devised in the early 19th century, are given below. Informally, a function ''f'' assigns an output ''f''(''x'') to every input ''x''. We say that the function has a limit ''L'' at an input ''p,'' if ''f''(''x'') gets closer and closer to ''L'' as ''x'' moves closer and closer to ''p''. More specifically, when ''f'' is applied to any input ''sufficiently'' close to ''p'', the output value is forced ''arbitrarily'' close to ''L''. On the other hand, if some inputs very close to ''p'' are taken to outputs that stay a fixed distance apart, ...
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Limits
Limit or Limits may refer to: Arts and media * ''Limit'' (manga), a manga by Keiko Suenobu * ''Limit'' (film), a South Korean film * Limit (music), a way to characterize harmony * "Limit" (song), a 2016 single by Luna Sea * "Limits", a 2019 song by Paenda; see Austria in the Eurovision Song Contest 2019 * ''Limits'' (collection), a collection of short stories and essays by Larry Niven * The Limit, a Dutch band *The Limit, an episode from ''The Amazing World of Gumball'' Mathematics * Limit (mathematics), the value that a function or sequence "approaches" as the input or index approaches some value ** Limit of a function ***(ε,_δ)-definition of limit, formal definition of the mathematical notion of limit ** Limit of a sequence ** One-sided limit, either of the two limits of a function as a specified point is approached from below or from above * Limit of a net * Limit point, in topological spaces * Limit (category theory) ** Direct limit ** Inverse limit Other uses * Limi ...
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Limit (mathematics)
In mathematics, a limit is the value that a function (or sequence) approaches as the input (or index) approaches some value. Limits are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals. The concept of a limit of a sequence is further generalized to the concept of a limit of a topological net, and is closely related to limit and direct limit in category theory. In formulas, a limit of a function is usually written as : \lim_ f(x) = L, (although a few authors may use "Lt" instead of "lim") and is read as "the limit of of as approaches equals ". The fact that a function approaches the limit as approaches is sometimes denoted by a right arrow (→ or \rightarrow), as in :f(x) \to L \text x \to c, which reads "f of x tends to L as x tends to c". History Grégoire de Saint-Vincent gave the first definition of limit (terminus) of a geometric series in his work ''Opus Geometricum'' (1647): "The ''terminus'' of ...
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Limit Of A Sequence
As the positive integer n becomes larger and larger, the value n\cdot \sin\left(\tfrac1\right) becomes arbitrarily close to 1. We say that "the limit of the sequence n\cdot \sin\left(\tfrac1\right) equals 1." In mathematics, the limit of a sequence is the value that the terms of a sequence "tend to", and is often denoted using the \lim symbol (e.g., \lim_a_n).Courant (1961), p. 29. If such a limit exists, the sequence is called convergent. A sequence that does not converge is said to be divergent. The limit of a sequence is said to be the fundamental notion on which the whole of mathematical analysis ultimately rests. Limits can be defined in any metric or topological space, but are usually first encountered in the real numbers. History The Greek philosopher Zeno of Elea is famous for formulating paradoxes that involve limiting processes. Leucippus, Democritus, Antiphon, Eudoxus, and Archimedes developed the method of exhaustion, which uses an infinite sequence o ...
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Limited (other)
Limited may refer to: Arts and media *''Limited Inc'', a 1988 book by Jacques Derrida *Limited series (comics), a comic book series with predetermined length Businesses *Limited Brands, an American company - owners of Victoria's Secret, Bath & Body Works and others * The Limited, an American apparel company Legal corporate structures *Limited company, a company in which the liability of its members is limited to what they have invested in the company *Limited liability company, a limited company that blends elements of partnership and corporate structures - primarily in the United States *Private company limited by shares, a limited company whose shares are not public - primarily in Commonwealth countries *Private company limited by guarantee, primarily for non-profit organisations - in Britain and Ireland *Public limited company, a limited company whose shares are sold to the public - primarily in Commonwealth countries * Limited partnership, a partially limited company where lia ...
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Limit Point
In mathematics, a limit point, accumulation point, or cluster point of a set S in a topological space X is a point x that can be "approximated" by points of S in the sense that every neighbourhood of x with respect to the topology on X also contains a point of S other than x itself. A limit point of a set S does not itself have to be an element of S. There is also a closely related concept for sequences. A cluster point or accumulation point of a sequence (x_n)_ in a topological space X is a point x such that, for every neighbourhood V of x, there are infinitely many natural numbers n such that x_n \in V. This definition of a cluster or accumulation point of a sequence generalizes to nets and filters. The similarly named notion of a (respectively, a limit point of a filter, a limit point of a net) by definition refers to a point that the sequence converges to (respectively, the filter converges to, the net converges to). Importantly, although "limit point of a set" is syno ...
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Limit (song)
"Limit" is the nineteenth single by Japanese rock band Luna Sea, released on June 22, 2016. It reached number 14 on the Oricon chart and number 19 on ''Billboard''s Japan Hot 100. Overview "Limit" was written to be the opening theme song of the ''Endride'' anime after Luna Sea were approached by its staff. Thus it is the band's first work to be tied to an anime. A 30-second commercial for the single utilizing footage of the song's music video was uploaded to YouTube on May 29. The full video was freely streamed on the band's website for only four hours from 20:00 to 24:00 during a full moon on June 20, 2016. As part of a promotion with the toy company Brokker, each band member had a Lego-like toy modeled after them. The figures served as the basis for a shortened, 3D animated recreation of the music video for "Limit" published on YouTube on September 21. The single's b-side, "I'll Stay With You", was written by Sugizo and features him playing the violin. Release The single was ...
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Limit (category Theory)
In category theory, a branch of mathematics, the abstract notion of a limit captures the essential properties of universal constructions such as products, pullbacks and inverse limits. The dual notion of a colimit generalizes constructions such as disjoint unions, direct sums, coproducts, pushouts and direct limits. Limits and colimits, like the strongly related notions of universal properties and adjoint functors, exist at a high level of abstraction. In order to understand them, it is helpful to first study the specific examples these concepts are meant to generalize. Definition Limits and colimits in a category C are defined by means of diagrams in C. Formally, a diagram of shape J in C is a functor from J to C: :F:J\to C. The category J is thought of as an index category, and the diagram F is thought of as indexing a collection of objects and morphisms in C patterned on J. One is most often interested in the case where the category J is a small or even fin ...
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Limit Of A Net
In mathematics, more specifically in general topology and related branches, a net or Moore–Smith sequence is a generalization of the notion of a sequence. In essence, a sequence is a function whose domain is the natural numbers. The codomain of this function is usually some topological space. The motivation for generalizing the notion of a sequence is that, in the context of topology, sequences do not fully encode all information about functions between topological spaces. In particular, the following two conditions are, in general, not equivalent for a map f between topological spaces X and Y: #The map f is continuous in the topological sense; #Given any point x in X, and any sequence in X converging to x, the composition of f with this sequence converges to f(x) (continuous in the sequential sense). While it is necessarily true that condition 1 implies condition 2 (The truth of the condition 1 ensures the truth of the conditions 2.), the reverse implication is not nec ...
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