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Residual (other)
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 proper ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Residual (entertainment Industry)
Residuals are financial compensations that are paid to the actors, film or television directors, and others involved in making TV shows and movies in cases of reruns, syndication, DVD release, or online streaming release. Residuals are calculated 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 initially used to make recordings to send to radio stations t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Residually Finite Group
{{unsourced, date=September 2022 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.\, 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 residually finite if and only if the intersection of all its normal subgroups of finite index is trivial. *A group is residually finite if and only if it can be embedded inside the direct product of a family of finite groups. Examples Examples of groups that are residually finite are finite groups, free groups, finitely generated nilpotent groups, polycyclic-by-finite groups, finite ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Residual Neural Network
A residual neural network (ResNet) is an artificial neural network (ANN). It is a gateless or open-gated variant of the HighwayNet, the first working very deep feedforward neural network A feedforward neural network (FNN) is an artificial neural network wherein connections between the nodes do ''not'' form a cycle. As such, it is different from its descendant: recurrent neural networks. The feedforward neural network was the ... with hundreds of layers, much deeper than previous neural networks. ''Skip connections'' or ''shortcuts'' are used to jump over some layers ( HighwayNets may also learn the skip weights themselves through an additional weight matrix for their gates). Typical ''ResNet'' models are implemented with double- or triple- layer skips that contain nonlinearities ( ReLU) and batch normalization in between. Models with several parallel skips are referred to as ''DenseNets''. In the context of residual neural networks, a non-residual network may be described ... [...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 sin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mesa
A mesa is an isolated, flat-topped elevation, ridge or hill, which is bounded from all sides by steep escarpments and stands distinctly above a surrounding plain. Mesas characteristically consist of flat-lying soft sedimentary rocks capped by a more resistant layer or layers of harder rock, e.g. shales overlain by sandstones. The resistant layer acts as a caprock that forms the flat summit of a mesa. The caprock can consist of either sedimentary rocks such as sandstone and limestone; dissected lava flows; or a deeply eroded duricrust. Unlike ''plateau'', whose usage does not imply horizontal layers of bedrock, e.g. Tibetan Plateau, the term ''mesa'' applies exclusively to the landforms built of flat-lying strata. Instead, flat-topped plateaus are specifically known as '' tablelands''.Duszyński, F., Migoń, P. and Strzelecki, M.C., 2019. ''Escarpment retreat in sedimentary tablelands and cuesta landscapes–Landforms, mechanisms and patterns.'' ''Earth-Science Reviews, no. ... [...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 sin ... [...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. Background The song originally did not appear on the standard edition of Brown's album ''11:11'', being released on April 11, 2024, as the thirteenth track of the deluxe edition of the album. After "Residuals" charted on the ''Billboard'' Hot 100, it was serviced to rhythmic contemporary radio on September 10, 2024 as ''11:11s fourth single. Critical reception '' Rated R&B'' highlighted "Residuals", defining it a "heartfelt song". Live performances The song was included on the set list of Brown's 2024 "The 11:11 Tour". Chart performance Following the release of the deluxe edition of Brown's ''11:11 11:11, 11-11, or 11/11 may refer to: * 11:11 (numerology) *''Eleven Eleven'', the literary journal of Califor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Solow Residual
The Solow residual is a number describing empirical productivity growth in an economy from year to year and decade to decade. Robert Solow, the Nobel Memorial Prize in Economic Sciences-winning economist, defined rising productivity as rising output with constant capital and labor input. It is a " residual" because it is the part of growth that is not accounted for by measures of capital accumulation or increased labor input. Increased physical throughput – i.e. environmental resources – is specifically excluded from the calculation; thus some portion of the residual can be ascribed to increased physical throughput. The example used is for the intracapital substitution of aluminium fixtures for steel during which the inputs do not alter. This differs in almost every other economic circumstance in which there are many other variables. The Solow residual is procyclical and measures of it are now called the rate of growth of multifactor productivity or total factor productivity, th ... [...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 ''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 algebras, Heyting algebras, residuated Boolean algebras, relation algebras, and MV-algebras. Residuated semilattices omit the meet operation ∧, for example Kleene algebras and action algebras. Definition In mathematics, a residuated lattice is an algebraic structure L = (''L'', ≤, •, I) such that : (i) (''L'', ≤) is a lattice. : (ii) (''L'', •, I) is a monoid. :(iii) For all ''z'' there ... [...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 it is, ''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 arities) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Residual Property (mathematics)
In the 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 homomorphism ''h'' from ''G'' to a group with property ''X'' such that h(g)\neq e. More 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 * Residually nilpotent * Residually solvable * Residually free Free may refer to: Concept * Freedom, having the ability to do something, without having to obey anyone/anything * Freethought, a position that beliefs should be formed only on the basis of logic, reason, and empiricism * Emancipate, to pr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
