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Duality (Darker Half Album)
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), rega ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Duality (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 vecto ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Holographic Duality
The holographic principle is an axiom in string theories and a supposed property of quantum gravity that states that the description of a volume of space can be thought of as encoded on a lower-dimensional boundary to the region — such as a light-like boundary like a gravitational horizon. First proposed by Gerard 't Hooft, it was given a precise string-theory interpretation by Leonard Susskind, who combined his ideas with previous ones of 't Hooft and Charles Thorn. Leonard Susskind said, “The three-dimensional world of ordinary experience––the universe filled with galaxies, stars, planets, houses, boulders, and people––is a hologram, an image of reality coded on a distant two-dimensional surface." As pointed out by Raphael Bousso, Thorn observed in 1978 that string theory admits a lower-dimensional description in which gravity emerges from it in what would now be called a holographic way. The prime example of holography is the AdS/CFT correspondence. The ho ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Duality (Ra Album)
''Duality'' is the second studio album by American alternative metal band Ra. This is the band's first album with bassist/backing vocalist P.J. Farley and drummer Andy Ryan. The style from this album has noticeably changed since Ra's debut album of ''From One''. The album boasts a hard rock and melodic vibe whereas their first album had more of a nu metal feel. The middle-eastern influences in the CD are still present, but are noticeably pushed back. Akin to their former album, ''Duality'' only claimed one charting single, which was the song "Fallen Angels", a song that was inspired by the Kevin Smith film Dogma. The tenth track "Got Me Going" was played on the radio in the background of the movie ''Hot Rod''. Early pressings of the album were immediately recalled from stores because of a manufacturing glitch, as skipping could be heard on track 2. The problem has since been corrected, and latest pressings of the album feature a sticker on the front of the case stating it to be ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Duality (Set It Off Album)
''Duality'' is the second studio album by American band Set It Off. The album was released on October 14, 2014 through record labels Equal Vision Records and Rude Records. The album was announced on August 13, 2014, alongside the announcement of a tour with rock bands Black Veil Brides and Falling in Reverse. Track listing All tracks are produced by Brandon Paddock Brandon Paddock is an American Pop and Rock musician and producer and member of Electronic Pop/Dance duo Fancy Cars. Commercial success Paddock has received two RIAA Platinum Records (awarded for the shipment of 1,000,000 units) for his work on ..., except where noted. Charts References 2014 albums Set It Off (band) albums Equal Vision Records albums {{2010s-album-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Duality (Lisa Gerrard And Pieter Bourke Album)
''Duality'' is a collaborative album by Lisa Gerrard and Pieter Bourke released in 1998. It was Lisa Gerrard's second post-Dead Can Dance album after ''The Mirror Pool'' from 1995. Lisa Gerrard and Brendan Perry released their last album in 1996 and had officially disbanded Dead Can Dance earlier in 1998. At the ARIA Music Awards of 1998, the album was nominated for ARIA Award for Best World Music Album.ARIA Award previous winners. Overview The beginning of the song "Shadow Magnet" influenced, in part, the music at the beginning of the ''Gladiator'' soundtrack (music by Hans Zimmer and Lisa Gerrard). The track "Nadir (Synchronicity)" was initially intended for use at the end of that film. However, due to copyright issues, a song 'influenced' by this track was used instead. "Tempest" and "Sacrifice" were used for the ''Insider ''Insider'', previously named ''Business Insider'' (''BI''), is an American financial and business news website founded in 2007. Since 2015, a maj ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Duality (Peter Leitch And John Hicks Album)
''Duality'' is an album by guitarist Peter Leitch and pianist John Hicks that was recorded in 1994. Recording and music The album was recorded at Rudy Van Gelder Studio, Englewood Cliffs, New Jersey, on June 1 and 2, 1994."RSR CD 134" Reservoir Music. Retrieved July 31, 2017. It is a duet album played by guitarist Peter Leitch and pianist . The material is a mix of standards, relatively unknown compositions, and pieces written by each of the musicians. Release and reception ''Duality'' was released by |
Wave–particle Duality
Wave–particle duality is the concept in quantum mechanics that every particle or quantum entity may be described as either a particle or a wave. It expresses the inability of the classical concepts "particle" or "wave" to fully describe the behaviour of quantum-scale objects. As Albert Einstein wrote: Through the work of Max Planck, Albert Einstein, Louis de Broglie, Arthur Compton, Niels Bohr, Erwin Schrödinger and many others, current scientific theory holds that all particles exhibit a wave nature and vice versa. This phenomenon has been verified not only for elementary particles, but also for compound particles like atoms and even molecules. For macroscopic particles, because of their extremely short wavelengths, wave properties usually cannot be detected. Although the use of the wave–particle duality has worked well in physics, the meaning or interpretation has not been satisfactorily resolved; see interpretations of quantum mechanics. Bohr regarded the "duality ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
U-duality
In physics, U-duality (short for unified duality)S. Mizoguchi,On discrete U-duality in M-theory, 2000. is a symmetry of string theory or M-theory combining S-duality and T-duality transformations. The term is most often met in the context of the "U-duality (symmetry) group" of M-theory as defined on a particular background space (topological manifold In topology, a branch of mathematics, a topological manifold is a topological space that locally resembles real ''n''-dimensional Euclidean space. Topological manifolds are an important class of topological spaces, with applications throughout mathe ...). This is the union of all the S-duality and T-duality available in that topology. The narrow meaning of the word "U-duality" is one of those dualities that can be classified neither as an S-duality, nor as a T-duality - a transformation that exchanges a large geometry of one theory with the strong coupling of another theory, for example. References String theory {{string-theo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
