• In algebraic geometry, an algebraic variety or scheme X is normal if it is normal at every point, meaning that the local ring at the point is an integrally...
    7 KB (1,087 words) - 19:07, 14 June 2024
  • integrally closed domains Normal scheme, a scheme whose local rings are normal domains Normal sequence (disambiguation), either a normal function or a representation...
    5 KB (580 words) - 21:03, 25 April 2025
  • {\mathcal {O}}_{X}(D)} is the sheaf corresponding to a Weil divisor D (on a normal scheme). It need not be locally free, only reflexive. 4.  If D is a Q {\displaystyle...
    82 KB (12,496 words) - 15:44, 24 July 2025
  • the normal cone of a subscheme of a scheme is a scheme analogous to the normal bundle or tubular neighborhood in differential geometry. The normal cone...
    18 KB (3,349 words) - 02:04, 6 February 2025
  • duality takes the same form for Gorenstein schemes as it does for smooth schemes. Let X be a normal scheme of finite type over a field k. Then X is regular...
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  • crossing singularities are not usually normal schemes (in the sense of the local rings being integrally closed). Normal crossing divisors are a class of divisors...
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  • Thumbnail for Normal distribution
    In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued...
    149 KB (21,749 words) - 21:46, 22 July 2025
  • basic example is an integrally closed domain, i.e., a normal ring. For an example which is not normal, one can consider the non-integral ring Z [ x , y ]...
    2 KB (263 words) - 21:03, 28 September 2024
  • "normal" refers to projective normality (not normal schemes). A non-degenerate irreducible surface of degree m – 1 in Pm is either a rational normal scroll...
    2 KB (193 words) - 00:38, 11 January 2023
  • terminology, a coherent sheaf on an integral normal scheme is reflexive if and only if it is torsion-free and normal in the sense of Barth. A reflexive sheaf...
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  • A buffer stock scheme (commonly implemented as intervention storage, the "ever-normal granary") is a price stabilization scheme in which surplus commodities...
    11 KB (1,422 words) - 10:40, 26 April 2025
  • Thumbnail for IATA airport code
    prenasalized stop [ⁿd] For many reasons, some airport codes do not fit the normal scheme described above. Some airports, for example, cross several municipalities...
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  • geometry, integral closure is closely related with normalization and normal schemes. It is the first step in resolution of singularities since it gives...
    32 KB (5,304 words) - 12:28, 3 March 2025
  • Thumbnail for Dilras Banu Begum
    them were strong-willed, pious and comparatively indifferent to the normal scheme of material values. However, whereas Aurangzeb was a staunch Sunni,...
    22 KB (2,372 words) - 17:06, 21 July 2025
  • twisted cubic. The term "normal" refers to projective normality, not normal schemes. The intersection of the rational normal curve with an affine space...
    5 KB (918 words) - 22:07, 19 August 2020
  • varieties. Further versions of Roitman's theorem are available for normal schemes. Actually, the most general formulations of Roitman's theorem (i.e....
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  • a subgroup of the group of all Weil divisors. Let X be a normal integral Noetherian scheme. Every Weil divisor D determines a coherent sheaf O X ( D...
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  • Quetelet to define the average man as "an entire normal scheme"; that is, if one combines the normal curves of every measurable human characteristic,...
    54 KB (5,927 words) - 13:07, 24 June 2025
  • Thumbnail for Light-on-dark color scheme
    A light-on-dark color scheme, better known as dark mode, dark theme or night mode, is a color scheme that uses light-colored text, icons, and graphical...
    16 KB (1,569 words) - 14:40, 27 July 2025
  • Thumbnail for Vehicle registration plate
    get special white plates and black numbering with "CD" prefix. The normal scheme comprises a one or two letters identification for the regencies, followed...
    141 KB (16,865 words) - 11:27, 1 August 2025
  • the existing scheme for an age-dependent limited time, after which they must transition to the 2015 scheme unless they reach the normal retirement age...
    3 KB (387 words) - 11:01, 19 August 2023
  • Thumbnail for Scheme (programming language)
    Scheme is a dialect of the Lisp family of programming languages. Scheme was created during the 1970s at the MIT Computer Science and Artificial Intelligence...
    73 KB (8,139 words) - 20:41, 20 July 2025
  • comprises the mandatory provident fund, a basic pension scheme and a disability/death insurance scheme. It also manages social security agreements with other...
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  • Thumbnail for Blind signature
    Blind signature (category Digital signature schemes)
    (message/signature) of the blind signature scheme is identical to that of the normal signing protocol. Blind signature schemes see a great deal of use in applications...
    10 KB (1,535 words) - 16:00, 21 January 2025
  • Thumbnail for Group scheme
    restriction of this action to H is trivial, then H is said to be normal, and the quotient scheme admits a natural group law. Representability holds in many...
    21 KB (2,860 words) - 07:07, 25 June 2025
  • Étale fundamental group (category Scheme theory)
    valuative criterion of properness. For geometrically unibranch schemes (e.g., normal schemes), the two approaches agree, but in general the pro-étale fundamental...
    11 KB (1,679 words) - 22:02, 18 July 2025
  • Thumbnail for Half-normal distribution
    statistics, the half-normal distribution is a special case of the folded normal distribution. Let X {\displaystyle X} follow an ordinary normal distribution,...
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  • particular, a scheme X is smooth over a field k if and only if the morphism X → Spec k is smooth. A smooth scheme over a field is regular and hence normal. In particular...
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  • designed to be similar to Valve's SteamOS 3 while still functioning as a normal computer. It offers support for handheld PC devices, including the Steam...
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  • nature. The process starts with a base level polygonal mesh. A refinement scheme is then applied to this mesh. This process takes that mesh and subdivides...
    13 KB (1,373 words) - 20:30, 19 March 2024