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Concept in algebraic geometry
geometry, a generic point P of an algebraic variety X is a point in a general position, at which all generic properties are true, a generic property being
Generic_point
Topics referred to by the same term
Look up generic in Wiktionary, the free dictionary. Generic or generics may refer to: Generic term, a common name used for a range or class of similar
Generic
three lists of generic and genericized trademarks are: marks that were originally legally protected trademarks, but have been genericized and have lost
List of generic and genericized trademarks
List_of_generic_and_genericized_trademarks
Property holding for typical examples
manifolds, then a generic point of N is not a critical value of f." (This is by Sard's theorem.) There are many different notions of "generic" (what is meant
Generic_property
Concept in algebraic geometry
"two generic lines intersect in a point", which is formalized by the notion of a generic point. Similarly, three generic points in the plane are not collinear;
General_position
Pharmaceutical equivalent to a brand-name product
A generic drug is a pharmaceutical drug that contains the same chemical substance as a proprietary drug that was originally protected by chemical patents
Generic_drug
Topological space whose topology is fully captured by its lattice of open sets
is the closure of exactly one point of X: that is, every nonempty irreducible closed subset has a unique generic point. Sober spaces have a variety of
Sober_space
Style of computer programming
Generic programming is a style of computer programming in which algorithms are written in terms of data types to-be-specified-later that are then instantiated
Generic_programming
Generalization of algebraic variety
used the somewhat foggy concept of the generic point of an algebraic variety. What is true for the generic point is true for "most" points of the variety
Scheme_(mathematics)
give some details of that computation: By a generic point of the cubic F goes 6 lines. Let s be a point of S and let Ls be the corresponding line on
Fano_surface
Cisco tunneling protocol
Generic routing encapsulation (GRE) is a tunneling protocol developed by Cisco Systems that can encapsulate a wide variety of network layer protocols
Generic_routing_encapsulation
Topics referred to by the same term
associated with the title Generic character. If an internal link incorrectly led you here, you may wish to change the link to point directly to the intended
Generic_character
Concept in abstract algebra
S\leftarrow s} where η {\displaystyle \eta } is the generic point and s {\displaystyle s} is the closed point. Given an algebraic curve ( X , O X ) {\displaystyle
Discrete_valuation_ring
Point not touching any other point
Zariski-closed subvariety of it is endowed with an additional point, which is generic in that subvariety. The original points of the variety are the
Closed_point
& Roth 1949, p.iii) generic 1. Not having some special properties, which are usually not stated explicitly. 2. A generic point is one having coordinates
Glossary of classical algebraic geometry
Glossary_of_classical_algebraic_geometry
Taxonomic rank above species and below family
the generic name of both golden peas and night monkeys; Oenanthe is the generic name of both wheatears and water dropworts; Prunella is the generic name
Genus
Topology on prime ideals and algebraic varieties
spectrum consists of one closed point for every element a {\displaystyle a} of k {\displaystyle k} and a generic point, corresponding to the zero ideal
Zariski_topology
Field arising from a quotient ring by a maximal ideal
having residue field k {\displaystyle k} , whereas the second point is the generic point, having transcendence degree 1 over k {\displaystyle k} . A morphism
Residue_field
Space homeomorphic to some ring spectrum
sober, i.e., every nonempty irreducible closed subset of X has a unique generic point. From that X is sober it follows that X is T0. Indeed the definition
Spectral_space
Topics referred to by the same term
Look up generic name in Wiktionary, the free dictionary. Generic name may refer to: Generic name (biology), the name of a biological genus Placeholder
Generic_name
Features of the Java programming language
Generics are a facility of generic programming that were added to the Java programming language in 2004 within version J2SE 5.0. They were designed to
Generics_in_Java
Topics referred to by the same term
Generic access may refer to: Generic Access Network Generic access profile This disambiguation page lists articles associated with the title Generic access
Generic_access
generic views assumption, and should be rejected. (The question of what constitutes a qualitative or categorical difference is an interesting point of
Generic_views
Mathematical concept in algebraic geometry
stalk of the generic point of X {\displaystyle X} . Thus the function field of X {\displaystyle X} is just the stalk of its generic point. If V is a variety
Function field of an algebraic variety
Function_field_of_an_algebraic_variety
Concept in algebraic geometry
locally of finite type over k and X is regular. A scheme X is said to be generically smooth of dimension n over k if X contains an open dense subset that
Smooth_scheme
equilibrium point Ideal point Inflection point Integral point Isolated point Generic point Heegner point Lattice hole, Lattice point Lebesgue point Midpoint
List of mathematical properties of points
List_of_mathematical_properties_of_points
Number of times an object must be counted for making true a general formula
it may be defined by looking at what occurs in a neighborhood of any generic point of this component. It follows that without loss of generality, we may
Multiplicity_(mathematics)
Generic-case complexity is a subfield of computational complexity theory that studies the complexity of computational problems on "most inputs". Generic-case
Generic-case_complexity
In algebra, a generic matrix ring is a sort of a universal matrix ring. We denote by F n {\displaystyle F_{n}} a generic matrix ring of size n with variables
Generic_matrix_ring
Branch of algebraic geometry
can be interpreted as k generic points on C, where k = C · C. More properly, the self-intersection point of C is the generic point of C, taken with multiplicity
Intersection_theory
Term in algebraic geometry
X(R)} . (Stacks project Tags 01KF and 01KY). Noting that Spec K is the generic point of Spec R and discrete valuation rings are precisely the regular local
Proper_morphism
Pursuit of competitive advantage
Porter's generic strategies describe how a company can pursue competitive advantage across its chosen market scope. There are three generic strategies:
Porter's_generic_strategies
A and X' denotes the generic point of Y' , then for every morphism Y' → Y and every morphism X' → X which lifts the generic point, then there exists at
Valuative_criterion
Structure in algebraic geometry
t^{-1}])} If we look at the associated morphism of residue fields for the generic point of the base, we see that this is a degree 2 extension C ( t ) → C (
Nisnevich_topology
Canadian pharmaceutical company
Founded in 1974 by Barry Sherman, the company is the largest producer of generic drugs in Canada, with annual sales exceeding CA$2.5 billion. By 2023, Apotex
Apotex
Theorem in projective geometry
is the cubic vanishing on the other three lines BC, DE, FA. Pick a generic point P on the conic and choose λ so that the cubic h = f + λg vanishes on
Pascal's_theorem
Concept in algebraic geometry
} A rational map is dominant if and only if it sends the generic point to the generic point. A ring homomorphism between function fields need not induce
Morphism_of_schemes
set. Generic point A generic point for a closed set is a point for which the closed set is the closure of the singleton set containing that point. Hausdorff
Glossary_of_general_topology
In the mathematical field of set theory, a generic filter is a kind of object used in the theory of forcing, a technique used for many purposes, but especially
Generic_filter
Mathematical idealization of the surface of a body
technical condition, which allows an accurate definition of the concept of generic point. Gauss 1902. "The Fractal Geometry of Nature". Archived from the original
Surface_(mathematics)
IEEE network service
external networks beyond an AP (Access Point) before they associate to the wireless LAN. GAS defines a generic container to advertise network services
Generic_Advertisement_Service
Simple curve of Euclidean geometry
r , θ ) {\displaystyle (r,\theta )} are the polar coordinates of a generic point on the circle, and ( r 0 , ϕ ) {\displaystyle (r_{0},\phi )} are the
Circle
Web design tool
a generic HTML editor. The 2010 release became part of the Microsoft SharePoint family, and could no longer operate in the absence of a SharePoint site
Microsoft_SharePoint_Designer
Discrete mathematics decomposition
} If no four rectangles meet in a point the rectangulation is called generic (or mosaic). Furthermore, every generic rectangulation of size n {\displaystyle
Rectangulations
Canadian line of generic brand grocery and household products by the Loblaw Companies
(stylized in all lowercase as no name, French: sans nom) is a line of generic brand grocery and household products sold by Loblaw Companies Limited.
No_Name_(brand)
Equilibrium points near two orbiting bodies
Lagrange points of planetary systems. Objects that inhabit those points are generically referred to as 'trojans' or 'trojan asteroids'. The name derives from
Lagrange_point
Family of geometric shapes
the sine and cosine terms are raised to arbitrary powers. Namely, the generic point P(u, v) of the surface is given by P ( u , v ) = ( X ( u , v ) Y ( u
Supertoroid
definitions to include the idea of abstract algebraic variety over K, and generic point relative to K. Reference to a ground field may be common in the theory
Ground_field
Mathematical technique in algebraic geometry
subset Y of X′, there exists a coherent sheaf G in C whose fiber at the generic point y of Y is a one-dimensional vector space over the residue field k(y)
Dévissage
Type of geometric transformation
the x-axis) is a function that takes a generic point with coordinates ( x , y ) {\displaystyle (x,y)} to the point ( x + m y , y ) {\displaystyle (x+my
Shear_mapping
Sheaf cohomology on the étale site
the injection of the generic point, ix is the injection of a closed point x, Gm,K is the sheaf Gm on Spec K (the generic point of X), and Zx is a copy
Étale_cohomology
semisimple part of the stabilizer of a point, and V is the corresponding tangent representation). In each case a generic point in V identifies it with the complexification
Prehomogeneous_vector_space
Axioms in topology defining notions of "separation"
there is a unique point p such that the closure of {p} equals C. More briefly, every irreducible closed set has a unique generic point. Any Hausdorff space
Separation_axiom
Type of commutative ring in mathematics
If the local ring A of V × X W {\displaystyle V\times _{X}W} at the generic point of Z is Cohen–Macaulay, then the intersection multiplicity of V and
Cohen–Macaulay_ring
Subject of study in ergodic theory
dynamical systems and their homomorphisms. A point x ∈ X is called a generic point if the orbit of the point is distributed uniformly according to the measure
Measure-preserving dynamical system
Measure-preserving_dynamical_system
Set of a ring's prime ideals
maximal ideals to all prime ideals therefore amounts to adjoining a generic point for each irreducible subvariety. The work of Wolfgang Krull anticipated
Spectrum_of_a_ring
2019 video game
|last= has generic name (help) Stroud, Allen; Kyratzes, Jonas; Turnbull-Ross, Thomas; Fellows, Chris (2017). "Phoenix Point Archives". Phoenix Point. Archived
Phoenix_Point
Finite topological space with two points, only one of which is closed
p} ). The generic point of Spec ( R ) , {\displaystyle \operatorname {Spec} (R),} coming from the zero ideal, corresponds to the open point 1, while
Sierpiński_space
define the function field in this case to be the local ring of the generic point. The trouble starts when X is no longer integral. Then it is possible
Function field (scheme theory)
Function_field_(scheme_theory)
American serial killer (1946–1989)
innocence. Other significant obstacles for law enforcement were Bundy's generic, essentially anonymous physical features, and a curious chameleon-like
Ted_Bundy
American publicly traded generics and specialty pharmaceutical company
traded pharmaceutical company that develops, manufactures and distributes generics and specialty pharmaceutical products. The company is headquartered in
Amneal_Pharmaceuticals
Generic Framing Procedure (GFP) is a multiplexing technique defined by ITU-T G.7041. This allows mapping of variable length, higher-layer client signals
Generic_Framing_Procedure
General-purpose programming language
Features adopted from modern languages include the addition of compile time generic programming data types, allowing functions to work on a variety of data
Zig_(programming_language)
for a generic point. The tangent plane would be tangent to the quartic along the conic, implying that the Gauss map would have a singular point. (Dolgachev
Trope_(mathematics)
Concept in mathematics
(More abstractly, this is the induced map from the residue field of the generic point of Y to that of X.) Conversely, every inclusion of fields k ( Y ) ↪
Morphism of algebraic varieties
Morphism_of_algebraic_varieties
Spiritual and Cultural Hindu temple in Gujarat, India
Temple – History and Travel guide". TFIGlobal. {{cite web}}: |last= has generic name (help) "NILKANTHDHAM POICHA | District Narmada, Government of Gujarat
Nilkanth_Dham
[kp(a0,a1,...) : kp] is finite then the formal fiber of A over the generic point is not geometrically regular so A is not a G-ring. Here kp denotes the
G-ring
discrete valuation ring whose spectrum has one closed point and one open (generic) point. We glue these spectra together by identifying their open points to
Flat_topology
Obsolete typographical construction
often to have been called (generically) compound points and (specifically) the comma dash, semicolon dash, colon dash, and point dash. Houston, in his book
Compound_point
Non-alcoholic beverages company
Fame". Mirage News. Retrieved 4 November 2024. {{cite web}}: |last= has generic name (help) Contributed (10 June 2024). "King's Birthday Honour for Cliff
Bundaberg_Brewed_Drinks
Canadian actor (born 1964)
16% and described it as "a man-on-the-run thriller that mostly sticks to generic formula". Reeves's film choices after Chain Reaction were also critical
Keanu_Reeves
the traditional use of generic points in algebraic geometry, in which closed points are the most specific, while a generic point of a space is one contained
Specialization_preorder
For interchange of Lidar point cloud data
format is a file format designed for the interchange and archiving of Lidar point cloud data. It is an open, binary format specified by the American Society
LAS_file_format
Israeli pharmaceutical company
Israeli multinational pharmaceutical company. Teva specializes primarily in generic drugs, but other business interests include branded-drugs, active pharmaceutical
Teva_Pharmaceuticals
2021 Indian documentary series
IWMBuzz. Retrieved 2 October 2021. {{cite web}}: |first= has generic name (help) "Break Point Review: Leander Paes And Mahesh Bhupathi's Doubles-Journey
Break_Point_(2021_TV_series)
The Geiringer–Laman theorem gives a combinatorial characterization of generically rigid graphsnot defined at the linked page in 2 {\displaystyle 2} -dimensional
Geiringer–Laman_theorem
Scheme theory concept
of f(T) is an irreducible component of Y. If Y is irreducible with generic point y, and if f−1(y) is irreducible, then X is irreducible. If f is also
Flat_morphism
Presentation application, part of Microsoft 365 and Microsoft Office
Microsoft PowerPoint, or simply PowerPoint, is a presentation program developed by Microsoft. It was originally created by Robert Gaskins, Tom Rudkin
Microsoft_PowerPoint
Typographic character indicating a question (?)
The question mark ? (also known as interrogation point, query, or eroteme in journalism) is a punctuation mark that indicates a question or interrogative
Question_mark
National Poll: Democrats Start Midterm Election Year with Six-Point Advantage on Generic Congressional Ballot". Emerson College Polling. January 22, 2026
2026_United_States_elections
C standard library header file
not part of the standard library. The header <tgmath.h> defines a type-generic macro for each mathematical function defined in <math.h> and <complex.h>
C_mathematical_functions
subscheme to its generic point, and in the other direction, takes each point to the unique reduced subscheme supported on the closure of the point. Consequently
Algebraic_cycle
Domain at the highest level of the DNS hierarchy
domain structure as consisting of generic top-level domains and two-letter country code top-level domains. The generic domains listed at that time were
Top-level_domain
Top-level Internet domain for Spain
are permitted at the second level or at the third level beneath various generic second level categories. Some qualifications and restrictions apply to
.es
Algebraic variety defined within an affine space
more well-defined notion of the "generic point" of an affine variety, by assigning to each closed subvariety an open point that is dense in the subvariety
Affine_variety
In mathematics, dimension of a ring
prime ideal p {\displaystyle {\mathfrak {p}}} of R corresponds to a generic point of the closed subset associated to p {\displaystyle {\mathfrak {p}}}
Krull_dimension
Glyph to denote an unspecified currency
the symbol at that code point to the euro sign in Mac OS 8.5. In pre-Unicode Windows character sets (Windows-1252), the generic currency sign was retained
Currency_sign_(generic)
Bollywood Festival in Mississauga
Square". Mississauga.com. Retrieved 2026-06-16. {{cite web}}: |last= has generic name (help) "National Post". June 21, 2011. Vikas Kohli (2011-07-26). OMNI
Bollywood_Monster_Mashup
Vietnamese singer-songwriter
tặng riêng U23 Việt Nam – VTC News". Báo VTC. {{cite web}}: |last= has generic name (help) ONLINE, TUOI TRE (March 22, 2018). "Vũ Cát Tường tung MV You
Vũ_Cát_Tường
Programming language
functions were in fact type-generic, but are treated as special cases; Pike called this a weakness that might be changed at some point. The Google team built
Go_(programming_language)
U V W XYZ See also References η {\displaystyle \eta } A generic point. For example, the point associated to the zero ideal for any integral affine scheme
Glossary of algebraic geometry
Glossary_of_algebraic_geometry
Image processing programming library
The Generic Graphics Library (GEGL) is a programming library under development for image processing applications. It is mainly developed for GIMP in order
GEGL
Species naming system
error, meaning "two-name naming system". The first part of the name – the generic name – identifies the genus to which the species belongs, whereas the second
Binomial_nomenclature
Pharmaceutical company (Viatris since 2020)
Mylan N.V. was a global generic and specialty pharmaceuticals company. In November 2020, Mylan merged with Upjohn, Pfizer's off-patent medicine division
Mylan
French philosopher (born 1937)
ontological situation cannot comment – to nominate this indiscernible, this generic point; and thus nominate, and give name to, the undecidable event. Badiou
Alain_Badiou
Computer network protocol
many well known security issues. PPTP uses a TCP control channel and a Generic Routing Encapsulation tunnel to encapsulate PPP packets. Many modern VPNs
Point-to-Point Tunneling Protocol
Point-to-Point_Tunneling_Protocol
boundaries point into the (t,x) solution space (see Figure 2). The goal of three-detector problem is calculating the vehicle at a generic point (P) on the
Three-detector problem and Newell's method
Three-detector_problem_and_Newell's_method
2005 book by Thomas Sowell
the British Isles to the Antebellum South. The second essay, "Are Jews Generic?", discusses middleman minorities. The third essay, "The Real History of
Black Rednecks and White Liberals
Black_Rednecks_and_White_Liberals
Screamin' Swing ride at Cedar Point
{{cite web}}: |author= has generic name (help) JASON WERLING (July 28, 2014). "2 injured by Skyhawk ride at Cedar Point; ride closed indefinitely". AP
Skyhawk_(Cedar_Point)
In algebra, integer associated to a module
equivalently, the stalk of O X {\displaystyle {\mathcal {O}}_{X}} at the generic point of V {\displaystyle V} page 22. If X {\displaystyle X} is an affine
Length_of_a_module
GENERIC POINT
GENERIC POINT
Boy/Male
Teutonic
Rules an estate.
Girl/Female
French German
Of the race of women.
Girl/Female
Australian, French, German
Of the Race of Women; White Wave
Biblical
Naamah can refer to a figure in , the wife of Solomon or a demon, beautiful; agreeable
Girl/Female
Shakespearean
Tragedy of King Lear' Daughter to King Lear.
Boy/Male
Scottish Welsh
Royal chieftain. Surname.
Girl/Female
American, Australian, Biblical, Chinese, Christian, Greek, Hawaiian, Hebrew
Beginning; Origin
Boy/Male
Australian, Hawaiian, Hebrew
Origin
Biblical
beginning
Female
Welsh
Medieval Welsh name, probably GENERYS means "white lady."Â
Male
German
Old German name, GOMERIC means "man-power."
Boy/Male
British, English
Royal
Male
English
Middle English form of Anglo-Saxon Ceneric, CENRIC means "keen power."
Girl/Female
Hindu, Indian
Charming
Male
German
Altered form of German Almeric, EMERIC means "work-power."
Female
English
(ΓÎνεσις) English name of Greek origin, derived from the word genesis, GENESIS means "creation, generation, origin, source," from gignesthai "to be born," which is related to genos "birth, descent, race." In the bible, this is the name of the first book of the Old Testament.
Boy/Male
German, Teutonic
Estate Ruler; Rules an Estate
Girl/Female
Biblical American Hebrew
Beginning.
Male
Swedish
Swedish variant spelling of Scandinavian Henrik, HENRIC means "home-ruler."
Girl/Female
Indian
GENERIC POINT
GENERIC POINT
Boy/Male
Hindu, Indian, Tamil
God; Blessing of Saibaba
Girl/Female
Arabic, Muslim
Universe
Boy/Male
Tamil
Shatakanttamadapahate | ஷாதாகாநà¯à®¤à¯à®¤à®¾à®®à®¾à®‚தாபதே
Destroyer of shatakanttas arrogance
Boy/Male
Tamil
Vikramaditya | விகà¯à®°à®®à®¾à®¤à®¿à®¤à¯à®¯
A famous king
Boy/Male
Hindu
Dharamveer means, One who gets victory on religion
Surname or Lastname
English (frequent in eastern England)
English (frequent in eastern England) : ethnic name from Norman French aleman ‘German’ or alemayne ‘Germany’ (Late Latin Alemannus and Alemannia, from a Germanic tribal name that probably originally meant ‘all the men’). In some cases the surname may be from the region of Normandy known as Allemagne (south of Caen), probably named as a Germanic-speaking enclave in a Celtic area in Roman times. In North America, the form Allman has probably absorbed some cases of cognates from other languages, in particular Spanish Aleman and French Alleman.German (Allmann) : variant of Allemann (see Alleman) or in some cases probably an Americanized form of the same name.
Boy/Male
Hindu
Boy/Male
Hindu
Wealth
Female
English
Pet form of English Elizabeth, BETTIE means "God is my oath."
Girl/Female
Irish Celtic
pleasant.
GENERIC POINT
GENERIC POINT
GENERIC POINT
GENERIC POINT
GENERIC POINT
a.
Usual; common, on most occasions; as, his general habit or method.
a.
Same as Genetical.
n.
The quality of being generic.
a.
Relating to a genus or kind; pertaining to a whole class or order; as, a general law of animal or vegetable economy.
a.
Pertaining to, or derived from, the ivy (Hedera); as, hederic acid, an acid of the acetylene series.
a.
Having a relation to all; common to the whole; as, Adam, our general sire.
pl.
of Postmaster-general
n.
The chief officer of the post-office department of a government. In the United States the postmaster-general is a member of the cabinet.
a.
Pertaining to a genus or kind; relating to a genus, as distinct from a species, or from another genus; as, a generic description; a generic difference; a generic name.
a.
Not restrained or limited to a precise import; not specific; vague; indefinite; lax in signification; as, a loose and general expression.
a.
Comprehending many species or individuals; not special or particular; including all particulars; as, a general inference or conclusion.
n.
The second law officer in the government of Great Britain; also, a similar officer under the United States government, who is associated with the attorney-general; also, the chief law officer of some of the States.
a.
The roll of the drum which calls the troops together; as, to beat the general.
n.
Alt. of Gentrie
a.
Common to many, or the greatest number; widely spread; prevalent; extensive, though not universal; as, a general opinion; a general custom.
a.
Alt. of Generical