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Look up projective in Wiktionary, the free dictionary. Projective may refer to Projective geometry Projective space Projective plane Projective variety...

In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that...

the complex projective plane, and finite, such as the Fano plane. A projective plane is a 2-dimensional projective space. Not all projective planes can...

In algebraic geometry, a projective variety is an algebraic variety that is a closed subvariety of a projective space. That is, it is the zero-locus in...

concept of a projective space originated from the visual effect of perspective, where parallel lines seem to meet at infinity. A projective space may thus...

the property of lifting that carries over from free to projective modules: a module P is projective if and only if for every surjective module homomorphism...

Projective identification is a term introduced by Melanie Klein and then widely adopted in psychoanalytic psychotherapy. Projective identification may...

mathematical logic, projective determinacy is the special case of the axiom of determinacy applying only to projective sets. The axiom of projective determinacy...

In psychology, a projective test is a personality test designed to let a person respond to ambiguous stimuli, presumably revealing hidden emotions and...

especially in the group theoretic area of algebra, the projective linear group (also known as the projective general linear group or PGL) is the induced action...

category theory, a projective cover of an object M is in a sense the best approximation of M by a projective object P. Projective covers are the dual...

In supersymmetry, a theory of particle physics, projective superspace is one way of dealing with N = 2 {\displaystyle {\mathcal {N}}=2} supersymmetric...

In projective geometry and mathematics more generally, a projective line is, roughly speaking, the extension of a usual line by a point called a point...

real projective plane, denoted ⁠ R P 2 {\displaystyle \mathbf {RP} ^{2}} ⁠ or ⁠ P 2 {\displaystyle \mathbb {P} _{2}} ⁠, is a two-dimensional projective space...

quasi-projective variety in algebraic geometry is a locally closed subset of a projective variety, i.e., the intersection inside some projective space...

mathematics, a projective representation of a group G on a vector space V over a field F is a group homomorphism from G to the projective linear group P...

a projective hypersurface, called its projective completion, whose equation is obtained by homogenizing p. That is, the equation of the projective completion...

called a projective algebraic set if V = Z(S) for some S. An irreducible projective algebraic set is called a projective variety. Projective varieties...

In projective geometry, a homography is an isomorphism of projective spaces, induced by an isomorphism of the vector spaces from which the projective spaces...

standard round metric, the measure of projective space is exactly half the measure of the sphere. Real projective spaces are smooth manifolds. On Sn, in...

In mathematics, a projective bundle is a fiber bundle whose fibers are projective spaces. By definition, a scheme X over a Noetherian scheme S is a Pn-bundle...

duality and beyond that to duality in any finite-dimensional projective geometry. A projective plane C may be defined axiomatically as an incidence structure...

In geometry, a (globally) projective polyhedron is a tessellation of the real projective plane. These are projective analogs of spherical polyhedra – tessellations...

dimension of the projective space being considered. For example, two homogeneous coordinates are required to specify a point on the projective line and three...

{\displaystyle \pi } . A projective mapping is a finite sequence of perspective mappings. As a projective mapping in a projective plane over a field (pappian...

manifolds. In projective geometry, the sphere is an example of a complex projective space and can be thought of as the complex projective line P 1 ( C...

In category theory, the notion of a projective object generalizes the notion of a projective module. Projective objects in abelian categories are used...

In mathematics, quaternionic projective space is an extension of the ideas of real projective space and complex projective space, to the case where coordinates...

In algebraic geometry, a weighted projective space P(a0,...,an) is the projective variety Proj(k[x0,...,xn]) associated to the graded ring k[x0,...,xn]...

complex projective space is the projective space with respect to the field of complex numbers. By analogy, whereas the points of a real projective space...

the solution of a single linear equation. Projective hyperplanes are used in projective geometry. A projective subspace is a set of points with the property...

Look up project in Wiktionary, the free dictionary. A project is a type of assignment, typically involving research or design, that is carefully planned...

mathematics, a projective range is a set of points in projective geometry considered in a unified fashion. A projective range may be a projective line or a...

having the same unparametrized geodesics. Projective connections are modeled on the geometry of projective space. In modern terms, they may be described...

the oldest part of the theory (for the projective line), namely the Schwarzian derivative, the simplest projective differential invariant. Further work...

and more specifically in projective geometry, a projective frame or projective basis is a tuple of points in a projective space that can be used for...

In projective geometry an ovoid is a sphere like pointset (surface) in a projective space of dimension d ≥ 3. Simple examples in a real projective space...

Freud, projective identification occurs when the other person introjects, or unconsciously adopts, that which is projected onto them. In projective identification...

form only in projective space. For these reasons, projective space plays a fundamental role in algebraic geometry. Nowadays, the projective space Pn of...

In projective geometry and linear algebra, the projective orthogonal group PO is the induced action of the orthogonal group of a quadratic space V = (V...

planes. In projective geometry, a specific instance of this problem that has numerous applications is determining whether, and how, a projective space can...

with the above definition since in the unique projective extension of the affine plane to a projective plane a single point (point at infinity) is added...

In projective geometry, the harmonic conjugate point of a point on the real projective line with respect to two other points is defined by the following...

In mathematics, noncommutative projective geometry is a noncommutative analog of projective geometry in the setting of noncommutative algebraic geometry...

resolutions, projective resolutions and flat resolutions, which are left resolutions consisting, respectively of free modules, projective modules or flat...

06222; -71.87389 The Montauk Project is a conspiracy theory that alleges there were a series of United States government projects conducted at Camp Hero or...

isometry group of complex projective space, just as the projective orthogonal group is the isometry group of real projective space. In terms of matrices...

generalized flag variety is defined to mean a projective homogeneous variety, that is, a smooth projective variety X over a field F with a transitive action...

is projective iff it is definable in the language of second-order arithmetic from some real parameter. A similar relationship between the projective hierarchy...

In geometry, a real projective line is a projective line over the real numbers. It is an extension of the usual concept of a line that has been historically...

among them. The word projective comes from the game's relation to projective spaces over the finite field with two elements. Projective Set has been studied...

In projective geometry, a correlation is a transformation of a d-dimensional projective space that maps subspaces of dimension k to subspaces of dimension...

Project 2025 (also known as the 2025 Presidential Transition Project) is a political initiative published in April 2023 by the Heritage Foundation with...

a fake projective plane (or Mumford surface) is one of the 50 complex algebraic surfaces that have the same Betti numbers as the projective plane, but...

A projective cone (or just cone) in projective geometry is the union of all lines that intersect a projective subspace R (the apex of the cone) and an...

is essentially the only projective invariant of a quadruple of collinear points; this underlies its importance for projective geometry. The cross-ratio...

finite projective plane of even order. A k-arc which can not be extended to a larger arc is called a complete arc. In the Desarguesian projective planes...

Galois geometries, since any finite projective space of dimension three or greater is isomorphic to a projective space over a finite field (that is, the...

the octonionic projective plane – FII, dimension 16 = 2 × 8, F4 symmetry, Cayley projective plane P2(O), the bioctonionic projective plane – EIII, dimension...

geometry, smooth projective planes are special projective planes. The most prominent example of a smooth projective plane is the real projective plane E {\displaystyle...

a projective space. A generalization of the oval concept is an abstract oval, which is a structure that is not necessarily embedded in a projective plane...

Oriented projective geometry is an oriented version of real projective geometry. Whereas the real projective plane describes the set of all unoriented...

The Manhattan Project was a research and development program undertaken during World War II to produce the first nuclear weapons. It was led by the United...

zero set of a polynomial in two variables. A projective algebraic plane curve is the zero set in a projective plane of a homogeneous polynomial in three...

the complex projective plane, and finite, such as the Fano plane. A projective plane is a 2-dimensional projective space. Not all projective planes can...

Project management is the process of supervising the work of a team to achieve all project goals within the given constraints. This information is usually...

affine algebraic set. Quadrics may also be defined in projective spaces; see § Normal form of projective quadrics, below. In coordinates x1, x2, ..., xD+1...

projective space of dimension three over the field of the complex numbers (or over an algebraic closure of ⁠ k {\displaystyle k} ⁠), whose projective...

map induces a projectivity. The converse of this observation (except for the projective line) is the fundamental theorem of projective geometry. Thus...

v ] {\displaystyle [v]} are also referred to as rays or projective rays. Each such projective ray is a copy of the nonzero complex numbers, which is topologically...

projector. Projective texture mapping is useful in a variety of lighting techniques and it is the starting point for shadow mapping. Projective texture mapping...

of the real projective plane, RP2 by a smooth map. That is, the parametrization of the Boy's surface is an immersion of the real projective plane into...

Look up projection, projecting, projective, or projector in Wiktionary, the free dictionary. Projection or projections may refer to: Projection (physics)...

egg. The term is not very specific, but in some areas of mathematics (projective geometry, technical drawing, etc.), it is given a more precise definition...

Project A may refer to: Project A (film), 1983 martial arts action-comedy film Project A Part II, 1987 Hong Kong martial arts action-comedy film Project...

(also known as Brocard's theorem) is a theorem on poles and polars in projective geometry commonly used in Olympiad mathematics. It is named after French...

subvarieties of X. A projective complex manifold is a complex manifold which can be embedded in complex projective space. Because projective space carries a...

homogeneous coordinates in the traditional sense of projective geometry. The Betti numbers of the complex projective plane are 1, 0, 1, 0, 1, 0, 0, ..... The middle...

mathematics, the projective line over a ring is an extension of the concept of projective line over a field. Given a ring A (with 1), the projective line P1(A)...

abstract algebra, Kaplansky's theorem on projective modules, first proven by Irving Kaplansky, states that a projective module over a local ring is free; where...

complex projective manifold, meaning that X is a closed complex submanifold of some complex projective space CPN. By Chow's theorem, complex projective manifolds...

fundamental geometric statement on projective spaces: the Euler sequence. The negativity of the canonical line bundle makes projective spaces prime examples of...

Pegasus Project may refer to: A highway construction project on Interstate 30 and Interstate 35E (Texas) in Dallas, Texas The Pegasus Project, an episode...

commutative ring assigned to any projective variety. If V is an algebraic variety given as a subvariety of projective space of a given dimension N, its...

In mathematics, a fake projective space is a complex algebraic variety that has the same Betti numbers as some projective space, but is not isomorphic...

In mathematics, the Cayley plane (or octonionic projective plane) P2(O) is a projective plane over the octonions. The Cayley plane was discovered in 1933...

{\displaystyle Y} gives a norm, called the projective norm, on X ⊗ Y {\displaystyle X\otimes Y} which generates the projective topology. Throughout, all spaces...

In tropical geometry, a tropical projective space is the tropical analog of the classic projective space. Given a module M over the tropical semiring...

Stargate Project may refer to: Stargate Project (U.S. Army unit), a secret United States Army unit established in 1977 Stargate LLC, an American multinational...

x_{i,1},\ldots ,x_{i,{n_{i}}}.} A multi-projective variety is a projective subvariety of the product of projective spaces P n 1 × ⋯ × P n k , {\displaystyle...

a projective plane, the theorem (which in this case is referred to as the Bruck–Ryser theorem) can be stated as follows: If a finite projective plane...

A projective vector field (projective) is a smooth vector field on a semi Riemannian manifold (p.ex. spacetime) M {\displaystyle M} whose flow preserves...

line {0,3,4,9,11}. Any finite projective plane of order n, PG(2,n), is an [(n2+n+1)n+1] configuration. Since projective planes are known to exist for...

The Mindy Project is an American romantic comedy television series created by and starring Mindy Kaling that began airing on Fox in September 2012 and...

Project Grayburn (Stylised as Project GRAYBURN) is the current effort by the United Kingdom’s Ministry of Defence to replace the SA80 family of rifles...

Project A119, also known as A Study of Lunar Research Flights, was a top-secret plan developed in 1958 by the United States Air Force. The aim of the...

of vector bundles with projective modules to formulate Serre's conjecture, which states that every finitely generated projective module over a polynomial...

is the P 1 {\displaystyle \mathbb {P} ^{1}} -bundle (a projective bundle) over the projective line P 1 {\displaystyle \mathbb {P} ^{1}} , associated to...

dimensions, all the points at infinity form a projective subspace of one dimension less than that of the whole projective space to which they belong. A point at...

schemes, which produces objects with the typical properties of projective spaces and projective varieties. The construction, while not functorial, is a fundamental...

then it is a projective representation G → PGL(H) in the mathematical sense, while its representative on Hilbert space is a projective representation...

1970s. Project SHAMROCK was the sister project to Project MINARET, an espionage exercise started in August 1945.[clarification needed] Project MINARET...

Project 985 (Chinese: 985工程) was a higher education development and sponsorship scheme of the government of China for creating world-class higher education...

mathematics, projective group may refer to: Projective linear group or one of the related linear groups Projective orthogonal group Projective unitary group...

1795, occurs in projective geometry: not only ellipses, but also parabolas and hyperbolas, turn into circles under appropriate projective transformations;...

that if the points of the projective line P1 are depicted by a rational normal curve in Pn, then the group of the projective transformations of Pn that...

During World War II, Project Pigeon (later Project Orcon, for "organic control") was American behaviorist B. F. Skinner's attempt to develop a pigeon-controlled...

The Wonder Project is an American independent film and television studio in partnership with Amazon MGM Studios specializing in the production of Christian-themed...

a projective plane. Since a projective plane is a self-dual configuration, the dual configuration of an affine plane is obtained from a projective plane...

A WikiProject is an affinity group for contributors with shared goals within the Wikimedia movement. WikiProjects are prevalent within the largest wiki...

In projective geometry, Qvist's theorem, named after the Finnish mathematician Bertil Qvist [de], is a statement on ovals in finite projective planes...

of some projective space (or a more general projective scheme), refining the Chow variety. The Hilbert scheme is a disjoint union of projective subschemes...

The Polymath Project is a collaboration among mathematicians to solve important and difficult mathematical problems by coordinating many mathematicians...

the area of an arbitrary Riemannian surface homeomorphic to the real projective plane with the lengths of the closed curves contained in it. A student...

is projective, there exist nonsingular complete varieties in dimension 3 and higher which are not projective. The first examples of non-projective complete...

the statement: Any oval in a finite pappian projective plane of odd order is a nondegenerate projective conic section. This statement was assumed 1949...

Euclidean group Poincaré group Galilean group Projective space Projective transformation Projective geometry Projective linear group Quadric and conic section...

is an indecomposable, projective, cyclic module. Principal indecomposable modules are also called PIMs for short. The projective indecomposable modules...

{\displaystyle d} hypersurfaces of projective space P n {\displaystyle \mathbb {P} ^{n}} . This is given by the projective bundle H i l b d ( P n ) = P (...

In mathematics, a stunted projective space is a construction on a projective space of importance in homotopy theory, introduced by Ioan James (1959). Idea...

in a projective plane. If P is a finite set, the projective plane is referred to as a finite projective plane. The order of a finite projective plane...

{CP} ^{n})} , valid for an arbitrary Riemannian metric on the complex projective space, where the optimal bound is attained by the symmetric Fubini–Study...

a Galois geometry may be defined as a projective space over a finite field. Objects of study include affine and projective spaces over finite fields and various...

Associated to ( Q , T ) {\displaystyle (Q,T)} is its corresponding projective plane. The projective planes constructed this way are characterized as follows; the...

Project Gutenberg (PG) is a volunteer effort to digitize and archive cultural works, as well as to "encourage the creation and distribution of eBooks...

offer anything for new players. Episode 4 – Dangeresque 3: The Criminal Projective received positive reviews. Aggregating review websites GameRankings and...

embedding is a map used in projective geometry to consider the cartesian product of two projective spaces as a projective variety. It is named after Corrado...

use of computer-generated imagery (CGI). Batman Begins was the biggest project Nolan had undertaken to that point, and it was released to critical acclaim...

surface in five-dimensional projective space, and is realized by the Veronese embedding, the embedding of the projective plane given by the complete linear...

Project Mercury was the first human spaceflight program of the United States, running from 1958 through 1963. An early highlight of the Space Race, its...

Project 100,000, also known as McNamara's 100,000, McNamara's Folly, McNamara's Morons, and McNamara's Misfits, was a controversial 1960s program by the...

quadrangle and the complete quadrilateral both form projective configurations; in the notation of projective configurations, the complete quadrangle is written...

Rationally equivalent cycles defined by hypersurfaces are easy to construct on projective space because they can all be constructed as the vanishing loci of the...

Cog was a project at the Humanoid Robotics Group of the Massachusetts Institute of Technology. It was based on the hypothesis that human-level intelligence...

for this plane, as a member of a family of projective spaces, is PG(2, 2). Here, PG stands for "projective geometry", the first parameter is the geometric...

Project Gemini (IPA: /ˈdʒɛmɪni/) was the second United States human spaceflight program to fly. It was conducted after the first American crewed space...

of projective tests are subjective in nature. The limitations of projective tests should be considered. It is generally a good idea to use projective tests...

is projectively unique (or projectively stable) if it has a unique convex realization up to projective transformations. The study of projectively unique...

Patrick Earl Houston (born February 8, 1973), known professionally as Project Pat, is an American rapper from Memphis, Tennessee. He is the older brother...

Project Esther is a project of the Heritage Foundation, a conservative think tank based in Washington, D.C., that aims to suppress pro-Palestinian protests...

projective polyhedra (tessellations of the real projective plane) – just as the sphere has a 2-to-1 covering map of the projective plane, projective polyhedra...

Project Plowshare was the overall United States program for the development of techniques to use nuclear explosives and large non-nuclear explosions for...

and metric between the two are considered. It turns out that complex projective 3-space C P 3 {\displaystyle \mathbb {CP} ^{3}} parametrizes such isomorphisms...

Linnaeus Wayland (1917-01-01). Projective Geometry. McGraw-Hill book Company, Incorporated. G. B. Halsted (1906) Synthetic Projective Geometry, page 20 Protter...

synthetic finite geometry. In projective geometry, affine space means the complement of a hyperplane at infinity in a projective space. Affine space can also...

one example of a complex algebraic manifold, since it is the complex projective line. Elliptic curves Grassmannian Algebraic geometry and analytic geometry...

The Negro Project, conceptualized by birth control activist Margaret Sanger and implemented by the Birth Control Federation of America (now Planned Parenthood...

peripheral equipment — operated by a limited group of IT users, and an IT project usually refers to the commissioning and implementation of an IT system...

Project Orion may refer to: Project Orion (nuclear propulsion), a U.S. Air Force study for a nuclear-powered spacecraft Orion (laser), built in the UK...

geometrically as a group of symmetries of the projective line P1(7); the full group of possibly orientation-reversing projective linear automorphisms is instead the...

generalizations of the genus of an algebraic curve or Riemann surface. Let X be a projective scheme of dimension r over a field k, the arithmetic genus p a {\displaystyle...

to result, D ′ ( S ) {\displaystyle D'(S)} . The projective Zariski topology is defined for projective algebraic sets just as the affine one is defined...

Project I.G.I. (released in North America as Project I.G.I.: I'm Going In) is a tactical first-person shooter video game. It was developed by Innerloop...

The Eden Project is a visitor attraction in Cornwall, England owned and operated by registered charity the Eden Trust. The project is located in a reclaimed...

Project 71 may refer to: Vikrant-class aircraft carrier, Indian indigenous aircraft carrier class, known as Project 71 Air Defence Ship INS Vikrant (2013)...

The Trevor Project is an American nonprofit organization founded in 1998. Focused on suicide prevention efforts for lesbian, gay, bisexual, transgender...

{\displaystyle X} into a projective space. A line bundle is ample if some positive power is very ample. An ample line bundle on a projective variety X {\displaystyle...

regular octahedron. It can be realized as a projective polyhedron (a tessellation of the real projective plane by 4 triangles and 3 square), which can...

The Esther Project is an Israeli social media campaign aimed at swaying American public opinion in the face of the ongoing Gaza war and genocide. According...

Project Panama is a destructive book scanning operation started in early 2024 by American artificial intelligence corporation Anthropic. Project Panama...

The Florida Project is a 2017 American drama film directed by Sean Baker, written by Baker and Chris Bergoch, and starring Bria Vinaite in her film debut...

Euler sequence is a particular exact sequence of sheaves on n-dimensional projective space over a ring. It shows that the sheaf of relative differentials is...

direction of periapsis and the current position of the body in the projective space. The projective anomaly is usually denoted by θ {\displaystyle \theta } and...

Poncelet. This results in a projective plane. Desargues's theorem is true for the real projective plane and for any projective space defined arithmetically...

Tata Projects is an Indian engineering, procurement and construction company. It is a part of Tata Group. The company was founded in 1979 by J. R. D. Tata...

In geometry, specifically projective geometry, a blocking set is a set of points in a projective plane that every line intersects and that does not contain...

in all projective spaces of dimension not 2; in other words, the only projective spaces of dimension not equal to 2 are the classical projective geometries...

being ruled or doubly ruled are preserved by projective maps, and therefore are concepts of projective geometry. In algebraic geometry, ruled surfaces...

Project 8 may refer to: Tony Hawk's Project 8, a skateboarding video game released in 2006 Northern Super League, a Canadian women's soccer league first...

a projectivity (projective transformation, projective collineation and homography are synonyms). There are several results concerning projectivities and...

of toric varieties are affine space, projective spaces, products of projective spaces and bundles over projective space. A precise definition is that a...

Shin's Project (Korean: 신사장 프로젝트) is a 2025 South Korean television series. It is directed by Shin Kyung-soo [ko] and written by Ban Ki-ri, and starring...

a ring R is called hereditary if all submodules of projective modules over R are again projective. If this is required only for finitely generated submodules...

equal to 1 is simple for all odd n > 1, when it is isomorphic to the projective special linear group. The first classification of simple Lie groups was...

The 1619 Project is a long-form journalistic revisionist historiographical work that takes a critical view of traditionally revered figures and events...

birational to a projective variety (Chow's lemma). So, for the purposes of birational classification, it is enough to work only with projective varieties,...

can effectively construct for any formula A its projective approximation Π(A): a finite set of projective formulas such that P ⊢ L A {\displaystyle P\vdash...

plane into its pole. In projective geometry, this affords a one-to-one correspondence between points and lines in the projective plane. This correspondence...

map is projective, and an isomorphism over a dense open set of X {\displaystyle X} , while ∐ Y i ′ {\displaystyle \coprod Y_{i}'} is a projective S {\displaystyle...

in the real projective line, seven in the real projective plane, and 18 in real projective space. All classical non-Euclidean projective spaces as hyperbolic...

This phenomenon is particularly apparent in the projective sets. These are defined via the projective hierarchy on a Polish space X: A set is declared...

so Kodaira's results states that Hodge manifolds are projective. The converse that projective manifolds are Hodge manifolds is more elementary and was...

property with respect to all injective trivial cofibrations. Projective fibrations and projective weak equivalences are the natural transformations, which...

Microsoft Project is a project management software product, developed and sold by Microsoft. It is designed to assist a project manager in developing...

The Belfast Project, also known as the Boston Tapes or the Boston College Tapes, was an oral history initiative based at Boston College in Massachusetts...

of degree three in projective 3-space P3. It is a fundamental example of a skew curve. It is essentially unique, up to projective transformation (the...

order of a projective plane as n = k − 1 and, from the displayed equation above, we obtain v = (n + 1)n + 1 = n2 + n + 1 points in a projective plane of...

often written just as E, and the projective cone Proj X ⁡ R {\displaystyle \operatorname {Proj} _{X}R} is the projective bundle of E, which is written as...

Project Hail Mary is a 2021 hard science fiction novel by American writer Andy Weir. It centers on science teacher and former biologist Ryland Grace,...

Project Sunrise may refer to: AstroFlight Sunrise, an early solar-powered aircraft project that first flew in California Project Sunrise (Qantas), a project...

infinity Projective line Projective plane Oval (projective plane) Roman surface Projective space Complex projective line Complex projective plane Fundamental...

In mathematics, the degree of an affine or projective variety of dimension n is the number of intersection points of the variety with n hyperplanes in...

structures on a projective space, and can be computed in the same way: The number of elements of P(Fn q) = Pn−1(Fq), the (n − 1)‑dimensional projective space over...

bundle over 3-dimensional projective space, and generalizes to give examples of vector bundles of higher ranks over other projective spaces. The Horrocks construction...

Project Magnet may refer to: Project Magnet (Canada), a Canadian unidentified flying object (UFO) study Project Magnet (USN), a U.S. Navy geomagnetic...

experimentally determined that projective planes of order ten do not exist via exhaustive computational searches. A finite projective plane of order n {\displaystyle...

passing through the origin. In the projective model of elliptic geometry, the points of n-dimensional real projective space are used as points of the model...

monoxide (PO), an unstable radical inorganic compound Projective orthogonal group, an action in projective geometry and linear algebra Per os or peroral, meaning...

projective, or torsion-free. In particular, every flat module is torsion-free, every projective module is flat, and every free module is projective....

The Touhou Project (Japanese: 東方Project, Hepburn: Tōhō Purojekuto; sometimes written in Japanese as 東方プロジェクト), also known simply as Touhou (東方; meaning...

Hesse, is a pair of points of the projective line canonically associated with a set of 3 points of the projective line. More generally, one can define...

course, also known as a synthesis and capstone project, senior synthesis, among other terms, is a project that serves as the culminating and usually integrative...

electric fields. In some projective planes, it is possible to find geometric transformations that map each point of the projective plane to a line, and each...

smooth complex projective varieties among all compact Kähler manifolds. Namely, a compact complex manifold X {\displaystyle X} is projective if and only...

points of the projective line over D are equivalence classes in B under this relation: P(D) = B/~. They are represented with projective coordinates [a...

transformation is the restriction to the field of a projective transformation or homography of the projective line. When a, b, c, d are integers (or, more generally...

Das Passagen-Werk or Arcades Project was an unfinished project of German philosopher and cultural critic Walter Benjamin, written between 1927 and his...

pairs (g, h); see Examples. If X is a quasi-projective variety; i.e., an open subvariety of a projective variety, then the function field k(X) is the...

infinity in the complex projective plane that are contained in the complexification of every real circle. A point of the complex projective plane may be described...

Moufang, is a type of projective plane, more specifically a special type of translation plane. A translation plane is a projective plane that has a translation...

{\displaystyle K} is a one-dimensional vector space over itself. The projective line over K , {\displaystyle K,} denoted P 1 ( K ) , {\displaystyle \mathbf...

as a projective polyhedron (a tessellation of the real projective plane by 10 triangles), which can be visualized by constructing the projective plane...

Project SUNSHINE was a series of research studies that began in 1953 to ascertain the impact of radioactive fallout on the world's population. The project...

Projective Set may refer to: A set in the Projective hierarchy, a sequence of subsets of a Polish space in descriptive set theory Projective Set (game)...

Projective determinacy is the assertion that every two-player perfect information game with moves being natural numbers, game length ω and projective...

describes the correspondence in more general and fundamental terms of projective geometry. This is captured mathematically by the relationship between...

largest p {\displaystyle p} -multinomial coefficients. In the finite projective space PG ⁡ ( d , q ) {\displaystyle \operatorname {PG} (d,q)} of dimension...

exactly one line. This geometric structure is an example of a finite projective plane. If there are 3 points in each line this creates a structure known...

Project Almanac is a 2015 American found footage science fiction film directed by Dean Israelite in his directorial debut, and written by Jason Harry...

that the projective plane RP2 is not the one-point compactification of the plane R2 since more than one point is added. Complex projective space CPn...

A project manager is a professional in the field of project management. Project managers have the responsibility of the planning, procurement and execution...

y 4 + z 4 + w 4 = 0 {\textstyle x^{4}+y^{4}+z^{4}+w^{4}=0} in complex projective 3-space. Together with two-dimensional compact complex tori, K3 surfaces...

Project Runway is an American reality television series that premiered on Bravo on December 1, 2004. The series focuses on fashion design. It was created...

Project Azorian (also called "Jennifer" by the press after its Top Secret Security Compartment) was a U.S. Central Intelligence Agency (CIA) project to...

A black project is a highly classified, top-secret military or defense project that is not publicly acknowledged by a government. In the United States...

Pandora Project may refer to: The Pandora Project a 1998 action thriller film Pandora's Project, a US nonprofit organization that provides support to...

Project Nike was a U.S. Army project proposed in May 1945 by Bell Laboratories to develop a line-of-sight anti-aircraft missile system. By 1953 the project...

{\displaystyle \nabla ^{2}} . When E {\displaystyle E} is a finitely generated projective module, it plays the role of the module of sections of a vector bundle...

be obtained from a projective plane of the same order by removing one block and all of the points in that block from the projective plane. Choosing different...

example projective geometry rightly talked about conic sections, but not about circles or angles because those notions were not invariant under projective transformations...

Project Jupyter (pronounced "Jupiter") is a project to develop open-source software, open standards, and services for interactive computing across multiple...

and the twist is provided by a field automorphism. An application in projective geometry requires that the scalars come from a division ring (skew field)...

The Barcode Project is a section of the Bjørvika portion of the Fjord City redevelopment on former dock and industrial land in central Oslo. It consists...

extendable to a finite projective plane of the same order, this equivalence can also be expressed in terms of the existence of these projective planes. As mentioned...

{\displaystyle L} . In this way, projective space acquires a universal property. The universal way to determine a map to projective space is to map to the projectivization...

Project 211 (Chinese: 211工程) was a higher education development and sponsorship scheme of the government of China for "preparing approximately 100 universities...

In linear algebra and projective geometry, Gerbaldi's theorem, proved by Gerbaldi (1882), states that one can find six pairwise apolar linearly independent...

number n, projective space Pn over a commutative ring R is proper over R. Projective morphisms are proper, but not all proper morphisms are projective. For...

a project that had been a longtime goal for him: The Last Temptation of Christ. In 1983, Scorsese began work on this long-cherished personal project. The...

projective. However, the simple modules with characteristic dividing the group order are rarely projective. Indeed, if a simple module is projective,...

transformations are the projective transformations of the complex projective line. They form a group called the Möbius group, which is the projective linear group...

BibleProject (previously known as The Bible Project) is a non-profit, crowdfunded organization based in Portland, Oregon, focused on creating free educational...

Jupiter Orbiter Probe (JOP) Project. John R. Casani, who had headed the Mariner and Voyager projects, became the first project manager. The JOP would be...

variety is a smooth projective variety, of maximal dimension among those whose k–1 secant varieties are not the whole of projective space. Scorza varieties...

The product of two projective lines is the Hirzebruch surface Σ0. It is the only surface with two different rulings. The projective plane Segre surface...

of the linear fractional group acting on a projective line. There are two embeddings into the projective line of homogeneous coordinates: z → [z:1] and...

roots. Pure injective and pure projective modules follow closely from the ideas of Prüfer's 1923 paper. While pure projective modules have not found as many...

The Rorschach test is a projective psychological test in which subjects' perceptions of inkblots are recorded and then analyzed using psychological interpretation...

tetrahemihexahedron is a non-orientable surface. It is projective polyhedron, yielding a representation of the real projective plane very similar to the Roman surface...

verbal and sexual abuse, and other forms of torture. Project MKUltra was preceded by Project Artichoke. It was organized through the CIA's Office of...

as a projective polyhedron (a tessellation of the real projective plane by 4 triangles), which can be visualized by constructing the projective plane...

rings can lead to the construction of isomorphic projective planes. Conversely, given any projective plane π, by choosing four points, labelled o, e,...

Points in a real projective space Pn are defined to be lines through the origin of the vector space Rn+1. For example, the projective plane P2 is the set...

The Venona project was a United States counterintelligence program initiated during World War II by the United States Army's Signal Intelligence Service...

degree 2 are called conic sections, and their projective completion are all isomorphic to the projective completion of the circle x 2 + y 2 = 1 {\displaystyle...

Project Zomboid is an upcoming survival video game developed by British and Canadian independent developer The Indie Stone. The game is set in 1993 in...

the projective counterparts of the Platonic solids, and can be realized as (globally) projective polyhedra – they tessellate the real projective plane...

59.475688°W / 13.077306; -59.475688 (Project HARP Location) Project HARP, for high altitude research project, was a joint venture of the United States...

generalization in higher dimension may be stated as: Let n projective hypersurfaces be given in a projective space of dimension n over an algebraically closed...

Look up skunkworks in Wiktionary, the free dictionary. A skunkworks project is a project developed by a relatively small and loosely structured group of people...

Look up project in Wiktionary, the free dictionary. A project is an undertaking planned and carried out to achieve a particular aim. (The) Project may also...

del Pezzo surface is either a product of two projective lines (with d=8), or the blow-up of a projective plane in 9 − d points with no three collinear...

hyperplane at infinity of a projective space, the affine transformations are the projective transformations of that projective space that leave the hyperplane...

incident with line PQ. Desargues' theorem holds in a projective plane P if and only if P is the projective plane over some division ring (skewfield) D — P...

Project Veritas is an American far-right activist group founded by James O'Keefe in 2010. The group produced deceptively edited videos of its undercover...

The Glee Project is an American reality television series from Oxygen. It served as an audition for the Fox musical comedy series Glee, and the prize...

The GNU Project (/ɡnuː/ GNOO) is a free software, mass collaboration project announced by Richard Stallman on September 27, 1983. Its goal is to provide...

Grassmannian. X {\displaystyle X} is a projective variety because it is a closed subvariety of a product of projective varieties. It comes with a natural...

Project Cybersyn was a Chilean economic project developed from 1971 to 1973 during the presidency of Salvador Allende (1970–1973), with the purpose of...

conics in projective geometry and may be constructed as Steiner conics from a projectivity that is not a perspectivity. A symmetry of the projective plane...

incidence properties of the resulting projective plane. The line at infinity is also called the ideal line. In projective geometry, any pair of lines always...

-dimensional affine space R d {\displaystyle \mathbb {R} ^{d}} there is a projective transformation mapping these points into convex position (so they form...

Phoenix Project may refer to: Phoenix Project (Pentagon), a part of the Pentagon Renovation Program The Phoenix Project (film), a 2015 film directed by...

Project Phoenix may refer to: Project Phoenix, a secret Nazi Germany project in the Call of Duty: Vanguard in 2021 Project Phoenix (SETI), a search for...

by working in projective space rather than affine space. An example is the quadric surface x y = z w {\displaystyle xy=zw} in projective space P 3 {\displaystyle...

nonsingular projective variety, defined over an algebraically closed field k, which has ample tangent bundle, then M must be isomorphic to the projective space...

surface was defined by Dolgachev & Zhang (2001) to be a smooth rational projective surface with empty anti-canonical linear system |−K| and non-empty anti-bicanonical...

The Marshall Project is an American nonprofit news organization which covers the U.S. criminal justice system with an aim to spread awareness of inequities...

homogeneous ideals of polynomials and algebraic subsets of a projective space, called the projective Nullstellensatz, that is analogous to the affine one. To...

special skew-symmetric 4 × 4 matrix, which characterizes a straight line in projective space. The matrix is defined by 6 Plücker coordinates with 4 degrees of...

interrogation. Project Artichoke was succeeded by Project MKUltra, which began in 1953. Initially known as Project Bluebird, Project Artichoke officially...

The Lincoln Project is an American political action committee (PAC) founded in December 2019 by moderate conservatives and former Republican Party members...

vector bundles to the algebraic concept of projective modules, and for the Swan representation, an l-adic projective representation of a Galois group. His...

of this period was the systematic study of projective geometry by Girard Desargues (1591–1661). Projective geometry studies properties of shapes which...

Camp Century Thule Camp Fistclench Project Iceworm was a top secret United States Army program of the Cold War, which aimed to build a network of mobile...

linear group, while a projective representation is a homomorphism G → PGL(n, C) from G to a projective linear group. Projective representations of G correspond...

The Spamhaus Project is an international organisation based in Andorra, founded in 1998 by Steve Linford to track email spammers and spam-related activity...

(1623–1662) – projective geometry Christiaan Huygens (1629–1695) – evolute Giordano Vitale (1633–1711) Philippe de La Hire (1640–1718) – projective geometry...

typically R3. A surface that is contained in a projective space is called a projective surface (see § Projective surface). A surface that is not supposed to...

Project Pericles Inc. is a non-profit organization composed of liberal arts colleges and universities geared towards the ideas that social responsibility...

The Magnolia Projects, later the C. J. Peete Public Housing Development, was one of the Housing Projects of New Orleans. The area has been more recently...

The Tor Project, Inc. is a 501(c)(3) research-education nonprofit organization based in Winchester, Massachusetts. It is founded by computer scientists...

The Adam Project is a 2022 American science fiction action comedy film directed by Shawn Levy and written by Jonathan Tropper, T. S. Nowlin, Jennifer...

Project MUSE, a non-profit collaboration between libraries and publishers, is an online database of peer-reviewed academic journals and electronic books...

start this method with the projective arrangement of six lines and ten triangles described above, producing optimal projective arrangements whose numbers...

{\displaystyle |D|} is therefore a projective space. A linear system d {\displaystyle {\mathfrak {d}}} is then a projective subspace of a complete linear system...

geometry other than projective space was the projections of the hyperfinite type II factor. Menger and Birkhoff gave axioms for projective geometry in terms...

If X is a projective curve over k, then the divisor of a nonzero rational function f on X has degree zero. As a result, for a projective curve X, the...

Project Mc2 (pronounced Project M.C.–squared ) is an American comedy television series co-produced for Netflix by MGA Entertainment and – despite being...

for affine varieties, can be translated to projective varieties, by replacing An(kalg) with projective space of dimension n − 1 over kalg, and by requiring...

on the real projective line. This cannot be extended to 4-tuples of points, because the cross-ratio is invariant. The terminology projective line is appropriate...

formed a one-step projective resolution of a module, and remarked that if the kernel was projective in one resolution it was projective in all. I added...

In mathematics, the Hilbert metric, also known as the Hilbert projective metric, is an explicitly defined distance function on a bounded convex subset...

Riemann surface is stable if and only if it comes from an irreducible projective unitary representation of the fundamental group. The main case to understand...

projective polyhedron (a tessellation of the real projective plane by three quadrilaterals), which can be visualized by constructing the projective plane...

Project Tiger is a wildlife conservation movement initiated in India to protect the endangered tiger. The project was initiated in 1973 by the Ministry...

The Icarus Project (2002–2020) was an American network of peer-support groups and media projects with the stated aim of changing the social stigmas regarding...

Stile Project is a website founded by a writer and webmaster known by the pseudonym Jay Stile. Stile started the site in 1999 when he was in high school...

AllDay Project (Korean: 올데이 프로젝트, stylized in all caps or abbreviated to ADP) is a South Korean co-ed group formed and managed by The Black Label. The...

is known as "Projective" Geometric Algebra. It should be clarified that projective geometric algebra does not include the full projective group; this is...

proposals for other forms of body decomposition, including her ongoing projects "land AIR sea: We Are Sublime" and "land AIR sea: Pali-Pali Sari-Sari."...

Project Nimbus (Hebrew: פרויקט נימבוס) is a project by the American technology companies Google and Amazon providing the Israeli government with technology...

statement is true in a projective plane, though not true in the Euclidean plane where lines may be parallel. Historically, projective geometry was developed...

into the projective general linear group PGL ⁡ ( n , C ) {\displaystyle \operatorname {PGL} (n,\mathbb {C} )} . In other words, a projective representation...

than projective varieties partly so that he could construct the Jacobian of a curve. (It was not known at the time that Jacobians are always projective varieties...

produces a projective line extended to a wheel by adjoining a bottom element noted ⊥, where 0 / 0 = ⊥ {\displaystyle 0/0=\bot } . The projective line is...

In project management, an executive or project executive is a person who has ultimate responsibility for a project, and is a role defined in the recognized...

work with projective planes, in this context several authors use the term translation plane to mean affine translation plane. Every projective plane can...

Louise (1970). "Great Man Award Dr. Marguerite R. Hertz". Journal of Projective Techniques and Personality Assessment. 34 (6): 445–448. doi:10.1080/0091651X...

minimal model program. Any quasi-smooth projective spherical variety (in particular, any quasi-smooth projective toric variety) as well as any log Fano...

mathematician, specializing in the theory of finite groups and finite projective planes. He is known for the Dembowski–Wagner theorem [de]. Ascher Wagner...

(GEBCO) is a publicly available bathymetric chart of the world's oceans. The project was conceived with the aim of preparing a global series of charts showing...

Project Sauron, also named ProjectSauron and Remsec, is a computer malware discovered in 2016, targeting only Windows systems. It had been spying on computers...

n-dimensional vector space V, either real or complex, in a projective space, thereby realizing it as a projective algebraic variety. More precisely, the Plücker map...

Tip Project was a business venture and organization which unsuccessfully pushed to introduce American practices of gratuity into Japanese culture. First...

group is projective if it has the lifting property for every extension. This is equivalent to saying that G {\displaystyle G} is projective if for every...

may be embedded in a projective plane of order n2 (the subsets of the design become sets of collinear points in the projective plane). In this case of...

m-sphere S m {\displaystyle S^{m}} and as complex conjugation on the complex projective space C P n {\displaystyle \mathbb {CP} ^{n}} . These manifolds were constructed...

AbCaBc} . It holds in a projective plane over any field, but fails for projective planes over any noncommutative division ring. Projective planes in which the...

charge. Projective testing originated in the first half of the 1900s. The idea animating projective tests is that the examinee is thought to project hidden...

group of a field K is that it classifies the projective varieties over K that become isomorphic to projective space over an algebraic closure of K. Such...

and Journal of Projective Techniques in 1936. This journal became the "Journal of Projective Techniques" in 1950, The Journal of Projective Techniques &...

there are no projective planes of those orders. The Bruck–Ryser–Chowla theorem provides further limitations on the order of a projective plane, and thus...

The Babli project / barrage is a controversial reservoir project being constructed by Maharashtra across the river Godavari, disputed by Telangana. The...

M. Coxeter in his textbook The Real Projective Plane. The relation may be used in showing the real projective plane is a complete space. The axiom of...

In projective geometry, a collineation is a one-to-one and onto map (a bijection) from one projective space to another, or from a projective space to...

be proved in the real projective plane, and with suitable modifications for special cases, in the Euclidean plane. Projective planes in which central...

known for his work in the field of algebra, especially in its relation to projective geometry and combinatorics. Bruck studied at the University of Toronto...

The Willow project is an oil drilling project by ConocoPhillips located on the plain of the North Slope of Alaska in the National Petroleum Reserve in...

are a generalization of quantum measurement described by PVMs (called projective measurements). In rough analogy, a POVM is to a PVM what a mixed state...

then Π {\displaystyle \Pi } descends to a projective representation of G {\displaystyle G} . A projective representation is one in which each Π ( g )...

Grassmannian was by Julius Plücker, who studied the set of projective lines in real projective 3-space, which is equivalent to G r 2 ( R 4 ) {\displaystyle...

Project Kusha, or Extended Range Air Defence System (ERADS), is a programme under the Defense Research and Development Organization for the Indian Air...

Ferriss' book Tools of Titans. In 1997, Favreau was working on a Miramax project The Marshal of Revelation, an offbeat Western featuring "a Hasidic Jewish...

Project CARS is a sim racing video game series developed by Slightly Mad Studios and published by Bandai Namco Entertainment. The franchise was introduced...

Project Xanadu (/ˈzænəduː/ ZAN-ə-doo) was the first hypertext project, founded in 1960 by Ted Nelson. Administrators of Project Xanadu declared it superior...

The GDELT Project, or Global Database of Events, Language, and Tone, created by Kalev Leetaru of Yahoo! and Georgetown University, along with Philip Schrodt...

Project HOPE (Health Opportunities for People Everywhere) is an international global health and humanitarian aid non-governmental organization founded...

Project Mariner was a research prototype developed by Google DeepMind that explored human-agent interactions, particularly within web browsers. It automated...

Project Daedalus (named after Daedalus, the Greek mythological designer who crafted wings for human flight) was a study conducted between 1973 and 1978...

Project Genesis may refer to: Project Genesis (Star Trek), a fictional technology from the Star Trek universe A project by Royal Caribbean International...

of projective spaces of geometrical dimension at least 3 are necessarily Desarguesian, see §1 or §16 or. Therefore, all compact connected projective spaces...

Brauer, Suzuki & Wall (1958), characterizes the one-dimensional unimodular projective groups over finite fields. Brauer, R.; Suzuki, Michio; Wall, G. E. (1958)...

known as Hopf fibrations. First, one can replace the projective line by an n-dimensional projective space. Second, one can replace the complex numbers by...

Project Sunrise is an initiative by Qantas to operate the world's first non-stop commercial flights from Australia's east coast to London, New York, and...

mathematics, the lines of a 3-dimensional projective space, S, can be viewed as points of a 5-dimensional projective space, T. In that 5-space, the points...

Sentence completion tests are a class of semi-structured projective techniques. Sentence completion tests typically provide respondents with beginnings...

of relativity was enunciated by E. T. Whittaker in 1910. Every line in projective geometry contains a point at infinity, also called a figurative point...

the "smaller" projective generators Using the characterisation in terms of projections from coproducts, having a family of projective generators along...

Operation V150, where 150 refers to a target speed in metres per second, was a series of high-speed trials carried out on the LGV Est. The V150 was a specially...

GL(V) acts on the projective space P(V) by automorphisms. A related procedure embeds a vector space V over a field K into the projective space P(V ⊕ K) of...

Inkblot Series. An ink blot test is a general category of projective tests. In projective tests, participants' interpretations of ambiguous stimuli are...

The GIMP Project is a New-York based modern dance project by the Heidi Latsky Dance company, and originally produced by Jeremy Alliger of Alliger Arts...

analysis and algebraic number theory, an abelian variety is a smooth projective algebraic variety that is also an algebraic group, i.e., has a group law...

afgesloten veld K. Thas showed how to extend projective geometry and cross-ratios with the concept of a projective line over a ring. Thas is an emeritus professor...

as a projective polyhedron (a tessellation of the real projective plane by 6 pentagons), which can be visualized by constructing the projective plane...

intersection theory in algebraic geometry, for the case of subvarieties of projective space with codimension large enough to make the intersection have components...

The Noun Project is a website that aggregates and catalogs symbols that are created and uploaded by graphic designers around the world. Based in Los Angeles...

Miami Project may refer to: Miami Project to Cure Paralysis, an American research center devoted to research and treatment of spinal cord injuries and...

that a projective module is a direct sum of countably generated modules. More generally, a module over a possibly non-commutative ring is projective if and...

surface in affine space A3. On the other hand, a projective quartic surface is a surface in projective space P3 of the same form, but now f is a homogeneous...

Sentinel Project may refer to: Sentinel Project for Genocide Prevention Satellite Sentinel Project Sentinel (FBI) Sentinel program This disambiguation...

algebraic surface. More precisely, let X {\displaystyle X} be a smooth projective surface over C {\displaystyle \mathbb {C} } and C {\displaystyle C} a...

and eponym of Boy's surface—a three-dimensional projection of the real projective plane without singularities, the first of its kind. He discovered it in...

The Hummingbird Project is a 2018 thriller drama film about high-frequency trading and ultra-low latency direct market access, written and directed by...

The Uzbekistan–Afghanistan–Pakistan (UAP) Railway Project is an extensive project undertaking with the objective of creating a direct railway link between...

Noetherian local ring. In this case, the depth of a module is related with its projective dimension by the Auslander–Buchsbaum formula. A more elementary property...

intersection of two quadrics in 4-dimensional projective space. They are rational surfaces isomorphic to a projective plane blown up in 5 points with no 3 on...

Project X may refer to: Project X, a novel by Jim Shepard A fictional weapon in the novel Atlas Shrugged Project X Entertainment, a production/financing...

Project is an ongoing project aimed at modeling, simulating, and designing concurrent, real-time, embedded systems. The focus of the Ptolemy Project is...

establishment in 1997 to 2005, the program was sponsored by Nike and was called Project-40. Originally intended to improve the U.S. national team player pool,...

{\displaystyle M_{g,n}} , admits an embedding into a projective space, hence is a quasi-projective variety. This can be accomplished by looking at canonically...

Operation Project Freedom is a United States military operation launched on 4 May 2026 to escort merchant ships, in response to Iranian attacks on shipping...

is isomorphic to a projective space Pd(K) with −1 ≤ d ≤ (n − 1) and K a division ring. (That is, it is a Desarguesian projective geometry.) For each...

The Reproducibility Project is a series of crowdsourced collaborations aiming to reproduce published scientific studies, finding high rates of results...

Babylon Project may refer to: The Babylon Project, a FreeSpace 2 Source Code Project A fictional space station construction program in the Babylon 5 television...

sponsorship and project management. Firstly project sponsorship includes the identification and definition of the project whereas project management is...

headquartered in Perth, Western Australia. Its flagship project is the Nolans Rare Earths Project, located in Central Australia, which is dedicated to mining...

of locally free sheaves.) projective 1.  A projective variety is a closed subvariety of a projective space. 2.  A projective scheme over a scheme S is...

unreleased Kanye West projects in rough chronological order. During his career, American rapper Kanye West has developed several projects which were never...

Project Greenlight is an American documentary television series focusing on first-time filmmakers being given the chance to direct a feature film. It...

the sky over Hamilton, New Zealand. Zac Hobson, a scientist working on Project Flashlight (an experiment designed to create a wireless global energy grid)...

Control? Sanger and the Negro Project". Margaret Sanger Papers Project Newsletter (28). NYU Margaret Sanger Papers Project. Retrieved January 23, 2025....

Project Icarus may refer to: Project Icarus (interstellar), a study started in 2009 for the design of an interstellar space probe Project Icarus (photography)...

visited websites. It also hosts and operates 14 related open collaboration projects, and supports the development of MediaWiki, which is the wiki software...

Project Chanology (also called Operation Chanology) was a protest movement against the practices of the Church of Scientology by members of Anonymous...

insights into Superman that others don't. Michael is a powerful actor who can project both the intelligence and the malice of the character, making him perfect...

available for Windows, macOS, Linux distributions, and FreeBSD. The OBS Project raises funds on Open Collective and Patreon. OBS Studio is a free and open-source...

Jurala Project (PJP) or Jurala Project, is a dam on the Krishna River situated about 15 km from Gadwal, Jogulamba Gadwal district, Jurala Project is a dam...

to the algebraic concept of projective modules and gives rise to a common intuition throughout mathematics: "projective modules are like vector bundles"...

dualizing sheaf exists for any projective scheme. There is the following variant of Serre's duality theorem: for a projective scheme X of pure dimension n...

The Abyss was a Swedish black metal side project by members of the death metal band Hypocrisy. They were active from 1994 to 1998 and recorded two albums...

Cimino made only four subsequent films and grew infamous for the number of projects left unfinished due to his uncompromising artistry. In 2002, Cimino claimed...

company, Mythology Entertainment, started in 2011. It was reincorporated as Project X Entertainment in 2019. In May 2016, Mythology acquired intellectual property...

becomes a projective space bundle (the Picard bundle). It has been studied in detail, for example by Kempf and Mukai. Let C be a smooth projective curve of...

past funded projects for a term of no more than five years. Recently, the funding model has changed to 2 + 3 years. Two years after the project has been...

The Fedora Project is an independent project under a legal responsibility of Red Hat to coordinate the development of Fedora Linux, a Linux-based operating...

The Milford Wind Corridor Project, also called Milford Wind, is a 306 megawatt (MW) wind farm spanning Beaver and Millard County north of Milford, Utah...

The Kalpasar Project or the Gulf of Khambhat Development Project is a proposed water and transport infrastructure project in Gujarat, India. It envisages...

In mathematics, a Hughes plane is one of the non-Desarguesian projective planes found by Hughes (1957). There are examples of order p2n for every odd prime...

not in general affine or projective. By Serre's GAGA theorem, every projective complex analytic variety is actually a projective complex algebraic variety...

is a ruled surface of degree n in projective space of dimension n + 1. Here "rational" means birational to projective space, "scroll" is an old term for...

morphisms are in fact projective; but, examples of proper varieties which are not projective can be found using toric geometry. Projective morphisms define...

right-of-way between Newark Penn Station and New York Penn Station. The project is intended to build new rail bridges in the New Jersey Meadowlands, dig...

Project Sign or Project Saucer was an official U.S. government study of unidentified flying objects (UFOs) undertaken by the United States Air Force (USAF)...

Project Titan or Titan Project may refer to: Apple electric car project, with autonomous driving Project Titan (DEA), a 2004 international operation targeting...

Project Alpha can mean: Project Alpha (hoax), a parapsychology hoax Project Alpha (military), a discontinued U.S. military project Project Alpha (non-proliferation...

The Lazarus Project may refer to: The Lazarus Project (film), 2008 American drama/thriller film The Lazarus Project (novel), 2008 historical novel The...

the real projective plane. The field of real numbers is not algebraically closed, the geometry of even a plane curve C in the real projective plane. Assuming...

writer in the area of finite projective spaces. In his article on proving the independence of his set of axioms for projective n-space, among other things...

Projected dynamical systems is a mathematical theory investigating the behaviour of dynamical systems where solutions are restricted to a constraint set...

the projective special linear groups PSL2(p) for p a Fermat or Mersenne prime, and p≥5 the projective special linear groups PSL2(9) the projective special...

Bethesda Project is a nonprofit organization that provides shelter, housing, and programs reaching out to individuals experiencing homelessness in Philadelphia...

algebraic geometry, the other being projective geometry. A complex affine space can be obtained from a complex projective space by fixing a hyperplane, which...

examples arise from weighted projective spaces and weighted projective varieties. For instance, the weighted projective line P ( 2 , 3 ) {\displaystyle...

coordinate ring) is a sort of universal homogeneous coordinate ring for a projective variety, and is (roughly speaking) a direct sum of the spaces of sections...

two vertical angles defined by a pair of lines. In projective geometry double wedges are the projective duals of line segments. de Berg, Mark; Cheong, Otfried;...

to degree, there is a bijective correspondence between projective algebraic sets in projective n-space over k and homogeneous, radical ideals of R not...

independent water and power plant (IWPP) or an integrated water and power project is a combined facility which serves as both a desalination plant and a...

In geometry, a real point is a point in the complex projective plane with homogeneous coordinates (x,y,z) for which there exists a nonzero complex number...

numbers C to itself. It is helpful to view this as a map from the complex projective line C P 1 {\displaystyle \mathbf {CP} ^{1}} to itself, by adding a point...

disk such that the transition maps are holomorphic Complex projective space, a projective space with respect to the field of complex numbers Unitary space...

defined in projective geometry since there is no distinguished point to play the role of the point at infinity (any point in a projective range may be...

Project Russia is a Russian nonfiction book series written during the first decade of the 21st century. The books have placed highly on bestseller lists...

In geometry, a W-curve is a curve in projective n-space that is invariant under a 1-parameter group of projective transformations. W-curves were first...

maximal arc in a finite projective plane is a largest possible (k,d)-arc in that projective plane. If the finite projective plane has order q (there...

The Rosie Project is a 2013 Australian novel by Australian novelist Graeme Simsion. The novel centres on genetics professor Don Tillman, who struggles...

Reporter announced that the Fox Network had ordered a pilot of a new comedy project from Sherman-Palladino. The untitled comedy, which received a pilot commitment...

Project Prometheus (also known as Project Promethian) was established in 2003 by NASA to develop nuclear-powered systems for long-duration space missions...

CodeProject (formerly Code Project and The Code Project) was a community for computer programmers with articles on different topics and programming languages...

died. Projective geometry with Oswald Veblen, Ginn and co., 1910–1918 Lectures on Fundamental Concepts of Algebra and Geometry 1911 Projective Geometry...

The GIPF Project is a series of nine abstract strategy games by designer Kris Burm. The series is named after the first game, GIPF. All the games take...

Gotan Project is a Franco-Swiss-Argentine musical group based in Paris (France), consisting of musicians Eduardo Makaroff (Argentinian), Philippe Cohen...

This is an alphabetical list of countries by past and projected gross domestic product (nominal) as ranked by the IMF. Figures are based on official exchange...

Project Z may refer to: Project Z (bomber project), a Japanese project of World War II Project Z (band), a band for which Jimmy Herring played Project...

coordinate-free definition of the projective completion of an affine space, and a definition of a projective frame. The projective completion of an affine space...

The Laramie Project is a 2000 American play by Moisés Kaufman and members of the Tectonic Theater Project (specifically, Leigh Fondakowski, writer-director;...

a limited-edition 1 TB Xbox One X Project Scorpio edition was made available on November 7, 2017. The words "Project Scorpio" are emblazoned in green on...

The Kagerou Project (カゲロウプロジェクト, Kagerō Purojekuto; lit. "Heat Haze Project" or "Mayfly Project"), also known as Kagerou Daze (カゲロウデイズ, Kagerō Deizu;...

structured projective technique in which the subject is asked to finish a sentence for which the first word or words are supplied. As in other projective devices...

The MILGEM project (Turkish: Milli Gemi Projesi; English: National Ship Project) is a national warship program of the Republic of Turkey. Managed by the...

Project Burgund refers to the plans developed in the early 1940s by Reichsführer-SS Heinrich Himmler to hive off part of the territory of occupied France...

Young (1908, 1910, 1917), states that a projective space of dimension at least 3 can be constructed as the projective space associated to a vector space over...

over a field K is an algebraic variety V which becomes isomorphic to a projective space over an algebraic closure of K. The varieties are associated to...

and in projective and differential geometries, including results important in modern physics. He introduced the Veblen axioms for projective geometry...

This is a list of public domain projects of software, algorithms, video games, and other digital works that are freely available for use, modification...

decomposition of a smooth projective hypersurface through Griffith's residue theorem. Porting this language to smooth non-projective varieties and singular...

of the complex projective plane C P 2 {\displaystyle \mathbb {CP} ^{2}} ( n = 4 {\displaystyle n=4} ), of the quaternionic projective plane H P 2 {\displaystyle...

Extension (algebra) Central extension Splitting lemma Projective module Injective module Projective resolution Injective resolution Koszul complex Exact...

Project Excalibur was a Lawrence Livermore National Laboratory (LLNL) Cold War–era research program to develop an X-ray laser system as a ballistic missile...

real projective plane. However, its statement in the affine plane is in a sense less informative and more complicated than that in the projective plane...

Ultimate Zero Tour – Live is a live album by Eddie Jobson and his U-Z Project. The album is compiled from 2009 performances in Poland, Russia, and the...

Ranjit Sagar Dam, also known as the Thein Dam, is part of a hydroelectric project constructed by the Punjab Irrigation Department on the Ravi River on the...

heterogeneity of the cellular diversity of an organism. The Human Cytome Project is aimed at the study of the biological system structure and function of...

cohomology. The general hope is that equations like [projective line] = [line] + [point] [projective plane] = [plane] + [line] + [point] can be put on increasingly...

term B is projective, whose first map A → B is injective, and whose second map B → C is surjective. Equivalently, a monad is a projective object together...

operating system kernel design. The project was started by Ken Sakamura of the University of Tokyo in 1984. The project's goal is to create an ideal computer...

Project 865 Piranha (Russian: Проект 865 «Пиранья») is a type of Russian (formerly Soviet) midget submarine. The NATO reporting name for the class is...

certain sets of lines in a projective plane by alternate sets in such a way that the new structure is still a projective plane is called derivation....

Journal of Projective Techniques and Personality Assessment, Journal of Projective Techniques, Rorschach Research Exchange and Journal of Projective Techniques...

A ghost project is a development or infrastructure initiative that is officially approved, announced, or funded but ends up never completed, substantially...

In mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point O. An elliptic curve is defined...

is non-singular and projective. Suppose there is a morphism φ from S to the projective line, with general fibre also a projective line. Then the theorem...

Project Madurai (மதுரை தமிழ் இலக்கிய மின்தொகுப்புத் திட்டம்) is an open and voluntary initiative aimed at publishing free versions of ancient Tamil literature...

Alien Project may refer to: Alien Project (musician), the stage name of Israeli trance music producer Ari Linker, active since 1994 Alien Project, a short-lived...

lines in Euclidean geometry meet at a single projective point. Lines are modeled as one-dimensional projective subspaces, and incidence relations are fundamental...

Project Vulcan is a NASA/DOE funded effort under the North American Carbon Program (NACP) to quantify North American fossil fuel carbon dioxide (CO2)...

The Isaiah Projects is a ministry and charity organization, based in Powder Springs, Georgia, dedicated to creating educational tools in order to help...

subvarieties. More precisely, the theorem says that for a variety X embedded in projective space and a hyperplane section Y, the homology, cohomology, and homotopy...

Chromium is a free and open-source web browser project, primarily developed and maintained by Google. It is a widely used codebase, providing the vast...

Baum test (also known as the "Tree test" or the "Koch test") is a projective test that is used extensively by psychologists around the world. "Baum" is...

Spanish Constitution". Constitute Project. Retrieved 15 April 2024. "Section 1 (3), Spanish Constitution". Constitute Project. Retrieved 15 April 2024. Shelley...

Wiluna, in the Mid West region of Western Australia. The Lake Maitland project was being pursued by Canadian company Mega Uranium. Mega teamed up with...

Project Rufus was a United States nuclear weapons program aimed at investigation and selection of sites within the United States and its possessions that...

examples of Lie groups. The projective linear group PGL ⁡ ( n , F ) {\displaystyle \operatorname {PGL} (n,F)} and the projective special linear group PSL...

The Harmony Project is a registered 501(c)(3) nonprofit organization based in Los Angeles, California, that provides free music instruction and instruments...

The Zeta Project is an American animated science fiction television series produced by Warner Bros. Television Animation, which originally aired on Kids'...

only; thus, it is the analog for Möbius planes of Desargues' Theorem for projective planes. If for eight different points A 1 , A 2 , A 3 , A 4 , B 1 , B...

The Baylor Project is an American jazz duo from New York City. Its members are husband and wife Marcus and Jean Baylor. Marcus Baylor is from St. Louis...

review of The Projective Cast, Architectural Review, vol. 198, no. 1181 (July 1995), p. 96. Andrew Ballantyne, review of The Projective Cast, Times Literary...

Hydroelectric Dam Project with 480 MW hydroelectric power generation capacity and the downstream under-construction Uri-I Stage-II Hydroelectric Dam Project with 240...

In projective geometry, Pascal's theorem (also known as the hexagrammum mysticum theorem, Latin for mystical hexagram) states that if six arbitrary points...

unique projective transform, since projective transforms are simply 3-transitive on lines (they are simply 3-transitive on points, hence by projective duality...

hypersurfaces in n-dimensional projective space is Fano if and only if the sum of their degrees is at most n. Weighted projective space P(a0,...,an) is a singular...

exist, their midcircle) and perform polar reciprocation in it. Under projective duality, the dual of a point is a line, and of a line is a point – thus...

Project Coldfeet was a 1962 Central Intelligence Agency (CIA) operation to extract intelligence from an abandoned Soviet Arctic drifting ice station....

The Adrenaline Project is a Canadian youth extreme sports reality television series produced by Canadian production company marblemedia and distributed...

The Quebec-class submarine was the NATO reporting name of the Soviet Project 615 submarine class, a small coastal submarine of the late 1950s. Prior to...

sold to date. By 2016, Segway no longer shared information about the PUMA project at Segway.com. However, it featured the PUMA at its new Chinese flagship...

geometric structure that generalizes the affine properties of a flat Projective subspace, a geometric structure that generalizes a linear subspace of...