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Residual Entropy Scaling
A residual is generally a quantity left over at the end of a process. It may refer to: Business * Residual (entertainment industry), in business, one of an ongoing stream of royalties for rerunning or reusing motion pictures, television shows or commercials * Profit (accounting), residuals that shareholders, partners or other owners are entitled to, after debtors are covered **Residual in the bankruptcy of insolvent businesses, moneys that are left after all assets are sold and all creditors paid, to be divided among ''residual claimants'' * Residual (or balloon) in finance, a lump sum owed to the financier at the end of a loan's term; for example Balloon payment mortgage Mathematics, statistics and econometrics * Residual (statistics) ** Studentized residual * Residual time, in the theory of renewal processes * Residual (numerical analysis) ** Minimal residual method ** Generalized minimal residual method * Residual set, the complement of a meager set * Residual property (ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Residual (entertainment Industry)
Residuals are financial compensations that are paid to film or television actors, writers, directors, and others involved in making TV shows and movies in cases of the cable reruns, syndication, DVD release, or licensing to streaming media. Residuals are calculated by producers and studios, and administered by industry trade unions like SAG-AFTRA, the Directors Guild of America, and the Writers Guild of America. The word is typically used in the plural form. History Technological advances gave rise to residual payments, and their evolution can be traced in terms of those technologies. Radio Residuals were established in U.S. network radio. Live radio programs with nationwide audiences were generally performed either two or three times to account for different time zones between the east and west coasts of the United States. The performers were paid for each performance. After audio " transcription disc" technology became widely available in the late 1930s, it was init ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Residually Finite Group
In the mathematical field of group theory, a group ''G'' is residually finite or finitely approximable if for every element ''g'' that is not the identity in ''G'' there is a homomorphism ''h'' from ''G'' to a finite group, such that :h(g) \neq 1.\,{{Cite journal , last=Magnus , first=Wilhelm , date=March 1969 , title=Residually finite groups , url=https://projecteuclid.org/journals/bulletin-of-the-american-mathematical-society/volume-75/issue-2/Residually-finite-groups/bams/1183530287.full , journal=Bulletin of the American Mathematical Society , volume=75 , issue=2 , pages=305–316 , doi=10.1090/S0002-9904-1969-12149-X , issn=0002-9904, doi-access=free There are a number of equivalent definitions: *A group is residually finite if for each non-identity element in the group, there is a normal subgroup of finite index not containing that element. *A group is residually finite if and only if the intersection of all its subgroups of finite index is trivial. *A group is residuall ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Residual Neural Network
A residual neural network (also referred to as a residual network or ResNet) is a deep learning architecture in which the layers learn residual functions with reference to the layer inputs. It was developed in 2015 for image recognition, and won the ImageNet Large Scale Visual Recognition ChallengeILSVRC of that year. As a point of terminology, "residual connection" refers to the specific architectural motif of , where f is an arbitrary neural network module. The motif had been used previously (see Residual neural network#History, §History for details). However, the publication of ResNet made it widely popular for Feedforward neural network, feedforward networks, appearing in neural networks that are seemingly unrelated to ResNet. The residual connection stabilizes the training and convergence of deep neural networks with hundreds of layers, and is a common motif in deep neural networks, such as Transformer (deep learning architecture), transformer models (e.g., BERT (language ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Monadnock
An inselberg or monadnock ( ) is an isolated rock hill, knob, ridge, or small mountain that rises abruptly from a gently sloping or virtually level surrounding plain. In Southern Africa, a similar formation of granite is known as a koppie, an Afrikaans word ("little head") from the Dutch diminutive word ''kopje''. If the inselberg is dome-shaped and formed from granite or gneiss, it can also be called a bornhardt, though not all bornhardts are inselbergs. An inselberg results when a body of rock resistant to erosion, such as granite, occurring within a body of softer rocks, is exposed by differential erosion and lowering of the surrounding landscape. Etymology Inselberg The word ''inselberg'' is a loan word from German, and means "island mountain". The term was coined in 1900 by geologist Wilhelm Bornhardt (1864–1946) to describe the abundance of such features found in eastern Africa. At that time, the term applied only to arid landscape features. However, it has ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mesa
A mesa is an isolated, flat-topped elevation, ridge, or hill, bounded from all sides by steep escarpments and standing distinctly above a surrounding plain. Mesas consist of flat-lying soft sedimentary rocks, such as shales, capped by a resistant layer of harder rock, like sandstone or limestone, forming a caprock that protects the flat summit. The caprock may also include dissected lava flows or eroded duricrust. Unlike a ''plateau'', which is a broader, elevated region that may not have horizontal bedrock (e.g., Tibetan Plateau), a mesa is defined by flat-lying strata and steep-sided isolation. Large, flat-topped plateaus with horizontal strata, less isolated and often part of extensive plateau systems, are called '' tablelands''. A ''butte'' is a smaller, eroded mesa with a limited summit, while a '' cuesta'' has a gentle dip slope and one steep escarpment due to tilted strata.Duszyński, F., Migoń, P. and Strzelecki, M.C., 2019. ''Escarpment retreat in sedim ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Inselberg
An inselberg or monadnock ( ) is an isolated rock hill, knob, ridge, or small mountain that rises abruptly from a gently sloping or virtually level surrounding plain. In Southern Africa, a similar formation of granite is known as a koppie, an Afrikaans word ("little head") from the Dutch diminutive word ''kopje''. If the inselberg is dome-shaped and formed from granite or gneiss, it can also be called a bornhardt, though not all bornhardts are inselbergs. An inselberg results when a body of rock resistant to erosion, such as granite, occurring within a body of softer rocks, is exposed by differential erosion and lowering of the surrounding landscape. Etymology Inselberg The word ''inselberg'' is a loan word from German, and means "island mountain". The term was coined in 1900 by geologist Wilhelm Bornhardt (1864–1946) to describe the abundance of such features found in eastern Africa. At that time, the term applied only to arid landscape features. However, it has ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Residuals (song)
"Residuals" is a song by American singer Chris Brown, taken from the deluxe edition of his eleventh studio album, '' 11:11'', released on April 11, 2024. The song was later serviced to rhythmic contemporary radio on September 10, 2024, as the album's fourth single. Originally recorded during the sessions for Brown's tenth studio album '' Breezy'', "Residuals" is an R&B ballad about the emotional complexity that arises after the end of a relationship. The song became the highest charting single from the ''11:11'' album on the ''Billboard'' Hot 100, whilst topping ''Billboard''’s Rhythmic Airplay chart, becoming Brown's fourteenth track to do so. "Residuals" was met with critical praise, and was nominated at the 67th Annual Grammy Awards for Best R&B Performance. The song's music video was released on January 23, 2025, and features footage from Brown's 2024 "The 11:11 Tour", while also following a storyline about a lost love. Several artists, including Tank, Shawn Stockman, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Residue (complex Analysis)
In mathematics, more specifically complex analysis, the residue is a complex number proportional to the contour integral of a meromorphic function along a path enclosing one of its singularities. (More generally, residues can be calculated for any function f\colon \mathbb \setminus \_k \rightarrow \mathbb that is holomorphic except at the discrete points ''k'', even if some of them are essential singularities.) Residues can be computed quite easily and, once known, allow the determination of general contour integrals via the residue theorem. Definition The residue of a meromorphic function f at an isolated singularity a, often denoted \operatorname(f,a), \operatorname_a(f), \mathop_f(z) or \mathop_f(z), is the unique value R such that f(z)- R/(z-a) has an analytic antiderivative in a punctured disk 0<\vert z-a\vert<\delta. Alternatively, residues can be calculated by finding |
Residuated Lattice
In abstract algebra, a residuated lattice is an algebraic structure that is simultaneously a lattice (order), lattice ''x'' ≤ ''y'' and a monoid ''x''•''y'' which admits operations ''x''\''z'' and ''z''/''y'', loosely analogous to division or implication, when ''x''•''y'' is viewed as multiplication or conjunction, respectively. Called respectively right and left residuals, these operations coincide when the monoid is commutative. The general concept was introduced by Morgan Ward and Robert P. Dilworth in 1939. Examples, some of which existed prior to the general concept, include Boolean algebra (structure), Boolean algebras, Heyting algebras, residuated Boolean algebras, relation algebras, and MV-algebras. Residuated lattice#Residuated semilattice, Residuated semilattices omit the meet operation ∧, for example Kleene algebras and action algebras. Definition In mathematics, a residuated lattice is an algebraic structure such that : (i) (''L'', ≤) is a lattice (ord ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Residuated Mapping
In mathematics, the concept of a residuated mapping arises in the theory of partially ordered sets. It refines the concept of a monotone function. If ''A'', ''B'' are posets, a function ''f'': ''A'' → ''B'' is defined to be monotone if it is order-preserving: that is, if ''x'' ≤ ''y'' implies ''f''(''x'') ≤ ''f''(''y''). This is equivalent to the condition that the preimage under ''f'' of every down-set of ''B'' is a down-set of ''A''. We define a principal down-set to be one of the form ↓ = . In general the preimage under ''f'' of a principal down-set need not be a principal down-set. If all of them are, ''f'' is called residuated. The notion of residuated map can be generalized to a binary operator (or any higher arity) via component-wise residuation. This approach gives rise to notions of left and right division in a partially ordered magma, additionally endowing it with a quasigroup structure. (One speaks only of residuated algebra for higher a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Residual Property (mathematics)
In the mathematics, mathematical field of group theory, a group is residually ''X'' (where ''X'' is some property of groups) if it "can be recovered from groups with property ''X''". Formally, a group ''G'' is residually ''X'' if for every non-trivial element ''g'' there is a Group homomorphism, homomorphism ''h'' from ''G'' to a group with property ''X'' such that h(g)\neq e. More category theory, categorically, a group is residually ''X'' if it embeds into its pro-''X'' completion (see profinite group, pro-p group), that is, the inverse limit of the inverse system consisting of all morphisms \phi\colon G \to H from ''G'' to some group ''H'' with property ''X''. Examples Important examples include: * Residually finite group, Residually finite * Residually nilpotent group, nilpotent * Residually solvable group, solvable * Residually free group, free References * Infinite group theory Properties of groups {{Abstract-algebra-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
