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BPL (complexity), BPL
BPL may refer to: Places * Bhopal Junction railway station, India (by station code) * Bole Alashankou Airport, China (by IATA airport code) * The contractional slang for Blackpool, UK Economics and finance * Bank pool loan, a type of loan * Below Poverty Line (India), an economic indicator * Bloomberg_L.P.#Bloomberg_PolarLake, Bloomberg Polarlake, a subsidiary of Bloomberg L.P Enterprises * BPL Group, an electronics conglomerate in India Public libraries * Birmingham Public Library, in Alabama, United States * Boston Public Library, in Massachusetts, United States * Brooklyn Public Library, in New York, United States * Burnaby Public Library, in British Columbia, Canada * Bloomington Public Library, in Illinois, United States * Busolwe Public Library, in Busolwe, Uganda Science and technology * beta-Propiolactone, a compound used for virus deactivation, and as a precursor for synthesis of other compounds. * Bio Products Laboratory, UK blood plasma products company * BPL (comple ...
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Bhopal Junction Railway Station
Bhopal Junction railway station (station code: BPL) is a major railway junction of India and main railway station of Bhopal, the capital of the central Indian state of Madhya Pradesh. This station also serves as a connecting point for various pilgrims from Asia to visit the Stupa of Sanchi, an important Buddhist stupa, which is about from this station. Infrastructure The station has 6 platforms in addition to enough waiting halls, refreshment centre, passenger ticket counter and ticket vending machines, vehicle parking, communication facility, sanitary facility and dedicated Government Railway Police force to ensure security. History The Bhopal–Itarsi section of New Delhi–Chennai main line was opened in 1884. Jhansi–Bhopal section was opened in 1889. In 1895, the Ujjain–Bhopal section was opened. The station building was constructed in year 1910. In 1984, the station was affected by the Bhopal disaster, when toxic gas fumes from a nearby chemical plant leaked. In t ...
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BPL (complexity)
In computational complexity theory, BPL (Bounded-error Probabilistic Logarithmic-space), sometimes called BPLP (Bounded-error Probabilistic Logarithmic-space Polynomial-time), is the complexity class of problems solvable in logarithmic space and polynomial time with probabilistic Turing machines with two-sided error. It is named in analogy with BPP, which is similar but has no logarithmic space restriction. Error model The probabilistic Turing machines in the definition of BPL may only accept or reject incorrectly less than 1/3 of the time; this is called ''two-sided error''. The constant 1/3 is arbitrary; any ''x'' with 0 ≤ ''x'' < 1/2 would suffice. This error can be made 2−''p''(''x'') times smaller for any polynomial ''p''(''x'') without using more than polynomial time or logarithmic space by running the algorithm repeatedly.


Related classes

Since two-sided error is more general than one-sided error,
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Barclays Premier League
The Premier League is a professional association football league in England and the highest level of the English football league system. Contested by 20 clubs, it operates on a system of promotion and relegation with the English Football League (EFL). Seasons usually run from August to May, with each team playing 38 matches: two against each other team, one home and one away. Most games are played on weekend afternoons, with occasional weekday evening fixtures. The competition was founded as the FA Premier League on 20 February 1992, following the decision of clubs from the First Division (the top tier since 1888) to break away from the English Football League. Teams are still promoted and relegated to and from the EFL Championship each season. The Premier League is a corporation managed by a chief executive, with member clubs as shareholders. The Premier League takes advantage of a £5 billion domestic television rights deal, with Sky and BT Group broadcasting 128 an ...
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Brisbane Premier League
The Brisbane Premier League was the first tier of senior soccer in Brisbane, Queensland (fourth tier in Queensland and fifth overall in Australia). It was run and administered by Football Queensland Metro. The competition folded and was revamped in 2021 with Football Queensland's takeover of the league structure from Football Brisbane, where they formed the Football Queensland Premier League – Metro. Honours : 1 Challenge Cup held as a knockout competition (see section on Charity Cup competition). : 2 Ipswich and West Moreton Association competition continued during these seasons. : 3 Competition restricted to Second and Third Divisions and Junior competitions. References : Media The league and its lower divisions are covered by several local newspapers throughout the city, suburbs and surrounding areas including Ipswich and Toowoomba. Highlights of matches, often at least 2 matches per round, in the league are put together by FB Media (the Media arm of Foo ...
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Belarusian Premier League
The Belarusian Premier League (, ''Vyšejšaja Liha'' or ''Vysheyshaya Liga''; ; "Top League"), also called the BETERA Premier League for sponsorship reasons, is a professional association football league in Belarus and the highest level of the Belarusian football league system. It is organized by the Belarusian Football Federation. The number of teams in the competition has varied over the years from as high as 17 (1992–93 season) to as low as 11 (2012). the league included 16 teams. Each team plays every other team twice during the course of the season. At the end of the season, the two teams with the fewest points are automatically relegated to the Belarusian First League, while the third worst team plays a promotion-relegation playoff against the third best team from the second tier. The top two teams from the Belarusian First League automatically win promotion to the Premier League. FC Dinamo Minsk, Dinamo Minsk are the current champions, after winning their ninth champions ...
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Bangladesh Premier League (football)
The Bangladesh Premier League (), simply known as the BPL and officially Bashundhara Group, ABG Bashundhara Bangladesh Premier League since 2023 for sponsorship reasons, is the top tier of the Bangladeshi football league system#Current system, Bangladeshi football league system. It is run by the Bangladesh Football Federation (BFF). The Dhaka Derby between Abahani Limited Dhaka, Abahani Dhaka and Mohammedan SC (Dhaka), Mohammedan SC is one of the league's most popular matches. The BPL superseded the Dhaka Premier Division Football League, Dhaka Premier Division League which had functioned as the top tier from 1948 to 2006. History Founded in 2007 as the country's first professional national football league, the BPL was originally known as the 2007 B.League, B.League and was renamed the 2009–10 Bangladesh League, Bangladesh League in 2009. In 2012, it was rebranded as the Bangladesh Premier League (BPL). The first B League match took place on 2 March 2007 between Abahani Limi ...
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Bangladesh Premier League
Bangladesh Premier League (), also known as Dutch-Bangla Bank BPL for sponsorship reasons, is a professional Twenty20 cricket league in Bangladesh organised by the Bangladesh Cricket Board (BCB). It was formed in 2011 by the BCB, after the suspension of its predecessor organisation, 2009/10 National Cricket League Twenty20. The first season was held in February 2012, and the games were held across Dhaka and Chittagong. The BPL is headed by the chairman of its Governing Council. Following the success of franchise Twenty20 cricket leagues such as the Indian Premier League around the world, the Bangladesh Cricket Board announced a plan to replace the National Cricket League with a franchise-based league. On 18 January 2012, the board entered a 6-year, 350-crore deal with Game on Sports Group to establish a franchise tournament. The deal gave the group exclusive management rights to manage the tournament. The league was founded with six franchises from the largest cities of Bangl ...
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Piecewise Linear Manifold
In mathematics, a piecewise linear manifold (PL manifold) is a topological manifold together with a piecewise linear structure on it. Such a structure can be defined by means of an atlas, such that one can pass from chart to chart in it by piecewise linear functions. This is slightly stronger than the topological notion of a triangulation. An isomorphism of PL manifolds is called a PL homeomorphism. Relation to other categories of manifolds PL, or more precisely PDIFF, sits between DIFF (the category of smooth manifolds) and TOP (the category of topological manifolds): it is categorically "better behaved" than DIFF — for example, the Generalized Poincaré conjecture is true in PL (with the possible exception of dimension 4, where it is equivalent to DIFF), but is false generally in DIFF — but is "worse behaved" than TOP, as elaborated in surgery theory. Smooth manifolds Smooth manifolds have canonical PL structures — they are uniquely ''triangulizable,'' by Whitehead's t ...
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Classifying Space
In mathematics, specifically in homotopy theory, a classifying space ''BG'' of a topological group ''G'' is the quotient of a weakly contractible space ''EG'' (i.e., a topological space all of whose homotopy groups are trivial) by a proper free action of ''G''. It has the property that any ''G'' principal bundle over a paracompact manifold is isomorphic to a pullback of the principal bundle EG \to BG. As explained later, this means that classifying spaces represent a set-valued functor on the homotopy category of topological spaces. The term classifying space can also be used for spaces that represent a set-valued functor on the category of topological spaces, such as Sierpiński space. This notion is generalized by the notion of classifying topos. However, the rest of this article discusses the more commonly used notion of classifying space up to homotopy. For a discrete group ''G'', ''BG'' is a path-connected topological space ''X'' such that the fundamental group of ...
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Bone Phosphate Of Lime
Tricalcium phosphate (sometimes abbreviated TCP), more commonly known as Calcium phosphate, is a calcium salt of phosphoric acid with the chemical formula Ca3(PO4)2. It is also known as tribasic calcium phosphate and bone phosphate of lime (BPL). It is a white solid of low solubility. Most commercial samples of "tricalcium phosphate" are in fact hydroxyapatite. It exists as three crystalline polymorphs α, α′, and β. The α and α′ states are stable at high temperatures. Nomenclature ''Calcium phosphate'' refers to numerous materials consisting of calcium ions (Ca2+) together with orthophosphates (), metaphosphates or pyrophosphates () and occasionally oxide and hydroxide ions. Especially, the common mineral apatite has formula Ca5(PO4)3''X'', where ''X'' is F, Cl, OH, or a mixture; it is hydroxyapatite if the extra ion is mainly hydroxide. Much of the "tricalcium phosphate" on the market is actually powdered hydroxyapatite. Preparation Tricalcium phosphate is produc ...
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Biological Pollution
Biological pollution (impacts or bio pollution) is the impact of humanity's actions on the quality of aquatic and terrestrial environment. Specifically, biological pollution is the introduction of non-indigenous and invasive species, otherwise known as Invasive Alien Species (IAS). When the biological pollution is introduced to an aquatic environment, it contributes to water pollution. Biopollution may cause adverse effects at several levels of biological organization: * an individual organism (internal pollution by parasites or pathogens), * a population (by genetic change, i.e. hybridization of IAS with a native species), * a community or biocoenosis (by structural shifts, i.e. dominance of IAS, replacement or elimination of native species), * a habitat (by modification of physical-chemical conditions), * an ecosystem (by alteration of energy and organic material flow). Biopollution may also cause decline in naturalness of nature conservation areas, adverse economic consequences ...
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Broadband Over Power Lines
Broadband over power lines (BPL) is a method of power-line communication (PLC) that allows relatively high-speed digital data transmission over public electric power distribution wiring. BPL uses higher frequencies, a wider frequency range, and different technologies compared to other forms of power-line communications to provide high-rate communication over longer distances. BPL uses frequencies that are part of the radio spectrum allocated to over-the-air communication services; therefore, the prevention of interference to, and from, these services is a very important factor in designing BPL systems. There are two main categories of BPL: in-house and access. In-house BPL is broadband access within a building or structure using the electric lines of the structure to provide the network infrastructure. Access BPL is the use of electrical transmission lines to deliver broadband to the home. Access BPL is considered a viable alternative to Cable or DSL to provide the 'final mile' of ...
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