Dual
Dual or Duals may refer to: Paired/two things * Dual (mathematics), a notion of paired concepts that mirror one another ** Dual (category theory), a formalization of mathematical duality *** see more cases in :Duality theories * Dual (grammatical number), a grammatical category used in some languages * Dual county, a Gaelic games county which in both Gaelic football and hurling * Dual diagnosis, a psychiatric diagnosis of co-occurrence of substance abuse and a mental problem * Dual fertilization, simultaneous application of a P-type and N-type fertilizer * Dual impedance, electrical circuits that are the dual of each other * Dual SIM cellphone supporting use of two SIMs * Aerochute International Dual a two-seat Australian powered parachute design Acronyms and other uses * Dual (brand), a manufacturer of Hifi equipment * DUAL (cognitive architecture), an artificial intelligence design model * DUAL algorithm, or diffusing update algorithm, used to update Internet protocol routing ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Dual (mathematics)
In mathematics, a duality translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of is , then the dual of is . Such involutions sometimes have fixed points, so that the dual of is itself. For example, Desargues' theorem is self-dual in this sense under the ''standard duality in projective geometry''. In mathematical contexts, ''duality'' has numerous meanings. It has been described as "a very pervasive and important concept in (modern) mathematics" and "an important general theme that has manifestations in almost every area of mathematics". Many mathematical dualities between objects of two types correspond to pairings, bilinear functions from an object of one type and another object of the second type to some family of scalars. For instance, ''linear algebra duality'' corresponds in this way to bilinear maps from pairs of vect ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Duality (other)
Duality may refer to: Mathematics * Duality (mathematics), a mathematical concept ** Dual (category theory), a formalization of mathematical duality ** Duality (optimization) ** Duality (order theory), a concept regarding binary relations ** Duality (projective geometry), general principle of projective geometry ** Duality principle (Boolean algebra), the extension of order-theoretic duality to Boolean algebras ** S-duality (homotopy theory) * Philosophy, logic, and psychology * Dualistic cosmology, a twofold division in several spiritual and religious worldviews * Dualism (philosophy of mind), where the body and mind are considered to be irreducibly distinct * De Morgan's laws, specifically the ability to generate the dual of any logical expression * Complementary duality of Carl Jung's functions and types in Socionics Science Electrical and mechanical * Duality (electrical circuits), regarding isomorphism of electrical circuits * Duality (mechanical engineering), regarding iso ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Dual SIM
Some mobile phones support use of two SIM cards, described as dual SIM operation. When a second SIM card is installed, the phone either allows users to switch between two separate mobile network services manually, has hardware support for keeping both connections in a "standby" state for automatic switching, or has individual transceivers for maintaining both network connections at once. Dual SIM phones are mainstream in many countries where phones are normally sold unlocked. Dual SIMs are popular for separating personal and business calls, in locations where lower prices apply to calls between clients of the same provider, where a single network may lack comprehensive coverage, and for travel across national and regional borders. In countries where dual SIM phones are the norm, people who require only one SIM simply leave the second SIM slot empty. Dual SIM phones will usually have two unique IMEI numbers, one for each SIM slot. Devices that use more than two SIM cards have als ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Dual (brand)
Dual is a brand name of audio and video electronics. History In 1907, brothers Christian and Joseph Steidinger began manufacturing clockwork and Phonograph, gramophone parts in the Black Forest town of Sankt Georgen im Schwarzwald, St. Georgen. In 1927, Gebrüder Steidinger (Steidinger Bros.) adopted the name ''Dual'' in reference to the dual-mode power supplies it pioneered. The power supplies allowed gramophones to be powered from mains electricity or with a Clockwork, wind-up mechanism. Soon thereafter, Dual began producing phonograph, turntables of its own. After World War II, Dual became the biggest manufacturer of turntables in Europe, with more than 3,000 employees working in several factories. Throughout the 1970s, 1980s, and 1990s, Dual introduced compact audio cassette, audio cassette players, videocassette recorder, VCRs, compact disc player, CD players, and other consumer electronics. But when Japanese consumer electronics started entering European markets in the 19 ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Dual! Parallel Trouble Adventure
is a Japanese anime series animated by AIC and created by Masaki Kajishima, best known for the ''Tenchi Muyo!'' franchise. It was originally broadcast on Wowow from April to July 1999 and was licensed in the US by Pioneer LDC, later known as Geneon. In addition to the original TV run, an OVA special was added to conclude the series as a de facto "14th episode". The title refers to the fact that the story takes place in two parallel universes, a concept loosely based on multiverse theory. Plot 22 years ago, a huge alien artifact is found on a construction site by a worker named Yotsuga. The foreman orders that the artifact be broken apart to avoid delays. As Yotsuga walks towards the dumpsters to dispose of a small piece of the artifact, the world splits into two. In one world, Yotsuga tosses away the piece and the artifact is destroyed. In the other world, Yotsuga keeps the artifact, leading to the discovery of extraterrestrial technology that changes history. In the pre ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Dual Diagnosis
Dual diagnosis (also called co-occurring disorders (COD) or dual pathology) is the condition of having a mental illness and a comorbid substance use disorder. There is considerable debate surrounding the appropriateness of using a single category for a heterogeneous group of individuals with complex needs and a varied range of problems. The concept can be used broadly, for example depression and alcohol use disorder, or it can be restricted to specify severe mental illness (e.g. psychosis, schizophrenia) and substance use disorder (e.g. cannabis use), or a person who has a milder mental illness and a drug dependency, such as panic disorder or generalized anxiety disorder and is dependent on opioids. Diagnosing a primary psychiatric illness in people who use substances is challenging as substance use disorder itself often induces psychiatric symptoms, thus making it necessary to differentiate between substance induced and pre-existing mental illness. Those with co-occurring diso ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Dual Impedance
Dual impedance and dual network are terms used in electronic network analysis. The dual of an impedance Z is its reciprocal, or algebraic inverse Z'=\frac. For this reason the dual impedance is also called the inverse impedance. Another way of stating this is that the dual of Z is the admittance Y'=Z. The dual of a network is the network whose impedances are the duals of the original impedances. In the case of a black-box network with multiple ports, the impedance looking into each port must be the dual of the impedance of the corresponding port of the dual network. This is consistent with the general notion duality of electric circuits, where the voltage and current are interchanged, etc., since Z=\frac yields Z'=\frac __TOC__ Scaled and normalised duals In physical units, the dual is taken with respect to some nominal or characteristic impedance. To do this, Z and Z' are scaled to the nominal impedance Z0 so that : \frac=\frac Z0 is usually taken to be a purely rea ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Dual (grammatical Number)
Dual ( abbreviated ) is a grammatical number that some languages use in addition to singular and plural. When a noun or pronoun appears in dual form, it is interpreted as referring to precisely two of the entities (objects or persons) identified by the noun or pronoun acting as a single unit or in unison. Verbs can also have dual agreement forms in these languages. The dual number existed in Proto-Indo-European and persisted in many of its descendants, such as Ancient Greek and Sanskrit, which have dual forms across nouns, verbs, and adjectives, Gothic, which used dual forms in pronouns and verbs, and Old English (Anglo-Saxon), which used dual forms in its pronouns. It can still be found in a few modern Indo-European languages such as Irish, Scottish Gaelic, Lithuanian, Slovene, and Sorbian languages. The majority of modern Indo-European languages, including modern English, however, have lost dual through their development and only show residual traces of it. In all these ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Dual (2022 Film)
''Dual'' is a 2022 American satirical science fiction thriller film written, directed, and produced by Riley Stearns. It stars Karen Gillan, Beulah Koale, Theo James, and Aaron Paul. The plot follows a woman who has to fight a clone of herself to the death after she unexpectedly recovers from a terminal illness. The film premiered at the 2022 Sundance Film Festival on January 22, 2022. It was released in the United States on April 15, 2022, by RLJE Films. Plot In the near future, Sarah is a depressed alcoholic in a lackluster relationship with her boyfriend Peter and generally disconnected from her pestering mother. One day, Sarah awakens to find a pool of blood in her bed and later learns she is terminally ill, and is told that she will die with certainty. The doctor admits to a 2% margin of error, but insists that Sarah's death is certain. To save those she cares about from the pain of losing her, Sarah opts for a cloning procedure of herself to take her place. She soon dubs t ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Dual-Ghia
Dual-Ghia is a rare, short-lived, automobile make, produced in the United States between 1956 and 1958. The idea for a sporty limited production car came from Eugene Casaroll, who controlled specialized vehicle builder Dual-Motors Corporation based in Detroit, Michigan; the name Dual-Ghia is representative of the collaborative efforts between the builder and Carrozzeria Ghia. Design The design for a luxurious sports car was to be a modified version of the Ghia-built 1954 and 1955 Dodge-based concept cars known as the Firearrow I, II, III, IV and the nearly production-ready Firebomb; which had all been designed by Luigi Segre with some possible influence from Virgil Exner. With so many cars designed along the same theme, Chrysler may well have intended to produce the Firebomb and/or the Chrysler Falcon as a response to the Ford Thunderbird and Chevrolet Corvette; for whatever reason neither made it to production. After gaining rights to the Firearrow/Firebomb design, Casaroll a ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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The Duals
The Duals were an American surf rock duo formed in Los Angeles, California, in 1961. Much of the collaboration's music capitalized on the style of music popularized in Southern California in the early 1960s. They reached the national charts with their song "Stick Shift" which became the Duals' only Top 40 hit. A studio album named after the Duals' hit song was released the following year. History The Duals featured the partnership of Henry Bellinger ( lead guitar) and Johnny Lageman ( rhythm guitar), two friends who lived in the same neighborhood in Los Angeles. In 1961, the duo approached H.B. Barnum with hopes that the record producer would record them in Hollywood. Barnum, however, had little faith in the songs the Duals had written but recommended them to Ron Barrett, an aspiring producer who recently established his own record label, Star Revue. Barrett was more receptive to the duo's simple, but upbeat, sound influenced by California's burgeoning surf scene. After exte ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Dual (category Theory)
In category theory, a branch of mathematics, duality is a correspondence between the properties of a category ''C'' and the dual properties of the opposite category ''C''op. Given a statement regarding the category ''C'', by interchanging the source and target of each morphism as well as interchanging the order of composing two morphisms, a corresponding dual statement is obtained regarding the opposite category ''C''op. Duality, as such, is the assertion that truth is invariant under this operation on statements. In other words, if a statement is true about ''C'', then its dual statement is true about ''C''op. Also, if a statement is false about ''C'', then its dual has to be false about ''C''op. Given a concrete category ''C'', it is often the case that the opposite category ''C''op per se is abstract. ''C''op need not be a category that arises from mathematical practice. In this case, another category ''D'' is also termed to be in duality with ''C'' if ''D'' and ''C''op a ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |