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Projective (other)
Projective may refer to Mathematics *Projective geometry *Projective space *Projective plane *Projective variety *Projective linear group *Projective module *Projective line *Projective object *Projective transformation *Projective hierarchy *Projective connection *Projective Hilbert space *Projective morphism *Projective polyhedron *Projective resolution Psychology *Projective test *Psychological projection#Projective techniques, Projective techniques See also * Projection (other) * Projector (other) * Project (other) * Proform, which covers proadjective * Adjective * Injective * Surjective {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Projective Geometry
In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that, compared to elementary Euclidean geometry, projective geometry has a different setting, projective space, and a selective set of basic geometric concepts. The basic intuitions are that projective space has more points than Euclidean space, for a given dimension, and that geometric transformations are permitted that transform the extra points (called "points at infinity") to Euclidean points, and vice-versa. Properties meaningful for projective geometry are respected by this new idea of transformation, which is more radical in its effects than can be expressed by a transformation matrix and translations (the affine transformations). The first issue for geometers is what kind of geometry is adequate for a novel situation. It is not possible to refer to angles in projective geometry as it is in Euclidean geometry, because angle is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Projective Morphism
This is a glossary of algebraic geometry. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory. For the number-theoretic applications, see glossary of arithmetic and Diophantine geometry. For simplicity, a reference to the base scheme is often omitted; i.e., a scheme will be a scheme over some fixed base scheme ''S'' and a morphism an ''S''-morphism. !$@ A B C D E F G H I J K L M N O P ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Adjective
In linguistics, an adjective (list of glossing abbreviations, abbreviated ) is a word that generally grammatical modifier, modifies a noun or noun phrase or describes its referent. Its semantic role is to change information given by the noun. Traditionally, adjectives were considered one of the main part of speech, parts of speech of the English language, although historically they were classed together with Noun, nouns. Nowadays, certain words that usually had been classified as adjectives, including ''the'', ''this'', ''my'', etc., typically are classed separately, as Determiner (class), determiners. Here are some examples: * That's a funny idea. (attributive) * That idea is funny. (predicate (grammar), predicative) * * The good, the bad, and the funny. (substantive adjective, substantive) Etymology ''Adjective'' comes from Latin ', a calque of grc, ἐπίθετον ὄνομα, epítheton ónoma, additional noun (whence also English ''epithet''). In the grammatical traditi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proform
In linguistics, a pro-form is a type of function word or expression that stands in for (expresses the same content as) another word, phrase, clause or sentence where the meaning is recoverable from the context. They are used either to avoid repetitive expressions or in quantification (limiting the variables of a proposition). Pro-forms are divided into several categories, according to which part of speech they substitute: * A pronoun substitutes a noun or a noun phrase, with or without a determiner: ''it'', ''this''. * A pro-adjective substitutes an adjective or a phrase that functions as an adjective: ''so'' as in "It is less ''so'' than we had expected." * A pro-adverb substitutes an adverb or a phrase that functions as an adverb: ''how'' or ''this way''. * A pro-verb substitutes a verb or a verb phrase: ''do'', as in: "I will go to the party if you do". * A prop-word: ''one'', as in "the blue one" * A pro-sentence substitutes an entire sentence or subsentence: ''Yes'', or '' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Project (other)
A project is an undertaking planned and carried out to achieve a particular aim. (The) Project may also refer to: Arts, entertainment, and media Music * ''Project'' (album), a 1997 music album by Greg Howe and Richie Kotzen * DJ Project, a Romanian dance music group * ''The Project'' (Lindsay Ell album), a 2017 music album by Lindsay Ell * ''The Project'' (Rishi Rich album), a 2006 music album by British producer Rishi Rich Television * ''The Project'' (Australian TV program), an Australian talk show * ''The Project'' (New Zealand TV programme), a New Zealand talk show * ''The Mindy Project'', an American television series Other uses in arts, entertainment, and media * ''The Project'' (film), a British drama * Proekt, a Russian media outlet Brands and enterprises * Microsoft Project, project management software * Rubicon Project, an American online advertising technology firm * Pro-Ject, an Austrian audio equipment manufacturer See also * * * Projection (disambig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Projector (other)
A projector is a device that projects an image on a surface. Projector may also refer to: Computing * Projector PSA, a software and cloud-computing company * Projector, a version control system used in the Macintosh Programmer's Workshop Weaponry * Projector, a type of mortar ** Livens Projector ** PIAT (Projector, Infantry, Anti Tank), British Second World War spigot mortar * Holman Projector * Northover Projector Other uses * ''Projector'' (album), a 1999 album by Dark Tranquillity * Projector (patent), the original inventor to reduce an invention to practice * In mathematics, a projection operator *The Projector, a Singaporean cinema chain See also * Corporate promoter or projector, e.g. in the phrase "railway projectors" * Projection (other) Projection, projections or projective may refer to: Physics * Projection (physics), the action/process of light, heat, or sound reflecting from a surface to another in a different direction * The display of images by a pro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Projection (other)
Projection, projections or projective may refer to: Physics * Projection (physics), the action/process of light, heat, or sound reflecting from a surface to another in a different direction * The display of images by a projector Optics, graphics, and cartography * Map projection, reducing the surface of a three-dimensional planet to a flat map * Graphical projection, the production of a two-dimensional image of a three-dimensional object Chemistry * Fischer projection, a two-dimensional representation of a three-dimensional organic molecule * Haworth projection, a way of writing a structural formula to represent the cyclic structure of monosaccharides * Natta projection, a way to depict molecules with complete stereochemistry in two dimensions in a skeletal formula * Newman projection, a visual representation of a chemical bond from front to back Mathematics * Projection (mathematics), any of several different types of geometrical mappings ** Projection (linear algebra), a l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Psychological Projection
Psychological projection is the process of misinterpreting what is "inside" as coming from "outside". It forms the basis of empathy by the projection of personal experiences to understand someone else's subjective world. In its malignant forms, it is a defense mechanism in which the ego defends itself against disowned and highly negative parts of the self by denying their existence in themselves and attributing them to others, breeding misunderstanding and causing untold interpersonal damage. A bully may project their own feelings of vulnerability onto the target, or a person who is confused may project feelings of confusion and inadequacy onto other people. Projection incorporates blame shifting and can manifest as shame dumping. Projection has been described as an early phase of introjection. Historical precursors A prominent precursor in the formulation of the projection principle was Giambattista Vico. In 1841, Ludwig Feuerbach was the first enlightenment thinker to employ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Projective Test
In psychology, a projective test is a personality test designed to let a person respond to ambiguous stimuli, presumably revealing hidden emotions and internal conflicts projected by the person into the test. This is sometimes contrasted with a so-called "objective test" / "self-report test", which adopt a "structured" approach as responses are analyzed according to a presumed universal standard (for example, a multiple choice exam), and are limited to the content of the test. The responses to projective tests are content analyzed for meaning rather than being based on presuppositions about meaning, as is the case with objective tests. Projective tests have their origins in psychoanalysis, which argues that humans have conscious and unconscious attitudes and motivations that are beyond or hidden from conscious awareness. Theory The general theoretical position behind projective tests is that whenever a specific question is asked, the response will be consciously formulated and so ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Projective Resolution
In mathematics, and more specifically in homological algebra, a resolution (or left resolution; dually a coresolution or right resolution) is an exact sequence of modules (or, more generally, of objects of an abelian category), which is used to define invariants characterizing the structure of a specific module or object of this category. When, as usually, arrows are oriented to the right, the sequence is supposed to be infinite to the left for (left) resolutions, and to the right for right resolutions. However, a finite resolution is one where only finitely many of the objects in the sequence are non-zero; it is usually represented by a finite exact sequence in which the leftmost object (for resolutions) or the rightmost object (for coresolutions) is the zero-object. Generally, the objects in the sequence are restricted to have some property ''P'' (for example to be free). Thus one speaks of a ''P resolution''. In particular, every module has free resolutions, projective resolut ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Projective Polyhedron
In geometry, a (globally) projective polyhedron is a tessellation of the real projective plane. These are projective analogs of spherical polyhedra – tessellations of the sphere – and toroidal polyhedra – tessellations of the toroids. Projective polyhedra are also referred to as elliptic tessellations or elliptic tilings, referring to the projective plane as (projective) elliptic geometry, by analogy with spherical tiling, a synonym for "spherical polyhedron". However, the term elliptic geometry applies to both spherical and projective geometries, so the term carries some ambiguity for polyhedra. As cellular decompositions of the projective plane, they have Euler characteristic 1, while spherical polyhedra have Euler characteristic 2. The qualifier "globally" is to contrast with ''locally'' projective polyhedra, which are defined in the theory of abstract polyhedra. Non-overlapping projective polyhedra (density 1) correspond to spherical polyhedra (equivalently, convex poly ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Projective Hilbert Space
In mathematics and the foundations of quantum mechanics, the projective Hilbert space P(H) of a complex Hilbert space H is the set of equivalence classes of non-zero vectors v in H, for the relation \sim on H given by :w \sim v if and only if v = \lambda w for some non-zero complex number \lambda. The equivalence classes of v for the relation \sim are also called rays or projective rays. This is the usual construction of projectivization, applied to a complex Hilbert space. Overview The physical significance of the projective Hilbert space is that in quantum theory, the wave functions \psi and \lambda \psi represent the same ''physical state'', for any \lambda \ne 0. It is conventional to choose a \psi from the ray so that it has unit norm, \langle\psi, \psi\rangle = 1, in which case it is called a normalized wavefunction. The unit norm constraint does not completely determine \psi within the ray, since \psi could be multiplied by any \lambda with absolute value 1 (the U(1) action ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
