Reflexive Relations
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Reflexive Relations
Reflexive, or the property reflexivity, may refer to: Fiction *Metafiction Grammar * Reflexivity (grammar): **Reflexive pronoun, a pronoun with a reflexive relationship with its self-identical antecedent **Reflexive verb In grammar, a reflexive verb is, loosely, a verb whose direct object is the same as its subject, for example, "I wash myself". More generally, a reflexive verb has the same semantic agent and patient (typically represented syntactically by the s ..., where a semantic agent and patient are the same Mathematics and computer science * Reflexive relation, a relation where elements of a set are self-related * Reflexive user interface, an interface that permits its own command verbs and sometimes underlying code to be edited * Reflexive operator algebra, an operator algebra that has enough invariant subspaces to characterize it * Reflexive space, a subset of Banach spaces * Reflexive bilinear form, a bilinear form for which the order of a pair of vectors does not a ...
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Metafiction
Metafiction is a form of fiction that emphasizes its own narrative structure in a way that inherently reminds the audience that they are reading or viewing a fictional work. Metafiction is self-conscious about language, literary form, and storytelling, and works of metafiction directly or indirectly draw attention to their status as artifacts. Metafiction is frequently used as a form of parody or a tool to undermine literary conventions and explore the relationship between literature and reality, life and art. Although metafiction is most commonly associated with postmodern literature that developed in the mid-20th century, its use can be traced back to much earlier works of fiction, such as '' The Canterbury Tales'' (Geoffrey Chaucer, 1387), ''Don Quixote'' Part Two (Miguel de Cervantes, 1615), '' Chymical Wedding of Christian Rosenkreutz'' ( Johann Valentin Andreae, 1617), '' The Cloud Dream of the Nine'' ( Kim Man-jung, 1687), '' The Life and Opinions of Tristram Shandy, G ...
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Reflexivity (grammar)
In grammar, reflexivity is a property of syntactic constructs whereby two arguments (actual or implicit) of an action or relation expressed by a single predicate have the same reference.Routledge dictionary of language and linguistics By Hadumod Bussmann, Gregory Trauth, Kertin Kazzaz"Reflexivity/ref> Reflexivity may be expressed by means of: reflexive pronouns or reflexive verb In grammar, a reflexive verb is, loosely, a verb whose direct object is the same as its subject, for example, "I wash myself". More generally, a reflexive verb has the same semantic agent and patient (typically represented syntactically by the s ...s. The latter ones may be constructed with the help of reflexive affixes (e.g., in Russian) or reflective particles (e.g., in Polish). References Generative syntax {{syntax-stub ...
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Reflexive Pronoun
A reflexive pronoun is a pronoun that refers to another noun or pronoun (its antecedent) within the same sentence. In the English language specifically, a reflexive pronoun will end in ''-self'' or ''-selves'', and refer to a previously named noun or pronoun (''myself'', ''yourself'', ''ourselves'', ''themselves'', etc.). English intensive pronouns, used for emphasis, take the same form. In generative grammar, a reflexive pronoun is an anaphor that must be bound by its antecedent (see binding). In a general sense, it is a noun phrase that obligatorily gets its meaning from another noun phrase in the sentence. Different languages have different binding domains for reflexive pronouns, according to their structure. Origins and usage of reflexive pronouns In Indo-European languages, the reflexive pronoun has its origins in Proto-Indo-European. In some languages, some distinction exists between normal object and reflexive pronouns, mainly in the third person: whether ...
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Reflexive Verb
In grammar, a reflexive verb is, loosely, a verb whose direct object is the same as its subject, for example, "I wash myself". More generally, a reflexive verb has the same semantic agent and patient (typically represented syntactically by the subject and the direct object). For example, the English verb ''to perjure'' is reflexive, since one can only perjure ''oneself''. In a wider sense, the term refers to any verb form whose grammatical object is a reflexive pronoun, regardless of semantics; such verbs are also more broadly referred to as pronominal verbs, especially in the grammar of the Romance languages. Other kinds of pronominal verbs are reciprocal (''they killed each other''), passive (''it is told''), subjective, and idiomatic. The presence of the reflexive pronoun changes the meaning of a verb, e.g., Spanish , . There are languages that have explicit morphology or syntax to transform a verb into a reflexive form. In many languages, reflexive constructions are rend ...
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Reflexive Relation
In mathematics, a binary relation R on a set X is reflexive if it relates every element of X to itself. An example of a reflexive relation is the relation " is equal to" on the set of real numbers, since every real number is equal to itself. A reflexive relation is said to have the reflexive property or is said to possess reflexivity. Along with symmetry and transitivity, reflexivity is one of three properties defining equivalence relations. Etymology The word ''reflexive'' is originally derived from the Medieval Latin ''reflexivus'' ('recoiling' reflex.html" ;"title="f. ''reflex">f. ''reflex'' or 'directed upon itself') (c. 1250 AD) from the classical Latin ''reflexus-'' ('turn away', 'reflection') + ''-īvus'' (suffix). The word entered Early Modern English in the 1580s. The sense of the word meaning 'directed upon itself', as now used in mathematics, surviving mostly by its use in philosophy and grammar (cf. ''Reflexive verb'' and ''Reflexive pronoun''). The first e ...
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Reflexive User Interface
Reflexive, or the property reflexivity, may refer to: Fiction *Metafiction Grammar * Reflexivity (grammar): **Reflexive pronoun, a pronoun with a reflexive relationship with its self-identical antecedent **Reflexive verb, where a semantic agent and patient are the same Mathematics and computer science *Reflexive relation In mathematics, a binary relation R on a set X is reflexive if it relates every element of X to itself. An example of a reflexive relation is the relation " is equal to" on the set of real numbers, since every real number is equal to itself. A ..., a relation where elements of a set are self-related * Reflexive user interface, an interface that permits its own command verbs and sometimes underlying code to be edited * Reflexive operator algebra, an operator algebra that has enough invariant subspaces to characterize it * Reflexive space, a subset of Banach spaces * Reflexive bilinear form, a bilinear form for which the order of a pair of vectors does not aff ...
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Reflexive Operator Algebra
In functional analysis, a reflexive operator algebra ''A'' is an operator algebra that has enough invariant subspaces to characterize it. Formally, ''A'' is reflexive if it is equal to the algebra of bounded operators which leave invariant each subspace left invariant by every operator in ''A''. This should not be confused with a reflexive space. Examples Nest algebras are examples of reflexive operator algebras. In finite dimensions, these are simply algebras of all matrices of a given size whose nonzero entries lie in an upper-triangular pattern. In fact if we fix any pattern of entries in an ''n'' by ''n'' matrix containing the diagonal, then the set of all ''n'' by ''n'' matrices whose nonzero entries lie in this pattern forms a reflexive algebra. An example of an algebra which is ''not'' reflexive is the set of 2 × 2 matrices :\left\. This algebra is smaller than the Nest algebra :\left\ but has the same invariant subspaces, so it is not reflexive. If ''T'' is ...
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Reflexive Space
In the area of mathematics known as functional analysis, a reflexive space is a locally convex topological vector space for which the canonical evaluation map from X into its bidual (which is the strong dual of the strong dual of X) is a homeomorphism (or equivalently, a TVS isomorphism). A normed space is reflexive if and only if this canonical evaluation map is surjective, in which case this (always linear) evaluation map is an isometric isomorphism and the normed space is a Banach space. Those spaces for which the canonical evaluation map is surjective are called semi-reflexive spaces. In 1951, R. C. James discovered a Banach space, now known as James' space, that is reflexive (meaning that the canonical evaluation map is not an isomorphism) but is nevertheless isometrically isomorphic to its bidual (any such isometric isomorphism is necessarily the canonical evaluation map). So importantly, for a Banach space to be reflexive, it is not enough for it to be isometri ...
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Reflexive Bilinear Form
In mathematics, a bilinear form is a bilinear map on a vector space (the elements of which are called '' vectors'') over a field ''K'' (the elements of which are called '' scalars''). In other words, a bilinear form is a function that is linear in each argument separately: * and * and The dot product on \R^n is an example of a bilinear form which is also an inner product. An example of a bilinear form that is not an inner product would be the four-vector product. The definition of a bilinear form can be extended to include modules over a ring, with linear maps replaced by module homomorphisms. When is the field of complex numbers , one is often more interested in sesquilinear forms, which are similar to bilinear forms but are conjugate linear in one argument. Coordinate representation Let be an - dimensional vector space with basis . The matrix ''A'', defined by is called the ''matrix of the bilinear form'' on the basis . If the matrix represents a ve ...
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Reflexive Antagonism
Reciprocal inhibition is a neuromuscular process in which muscles on one side of a joint relax to allow the contraction of muscles on the opposite side, enabling smooth and coordinated movement. This concept, introduced by Charles Sherrington, a pioneering neuroscientist, is also referred to as ''reflexive antagonism'' in some allied health fields. Sherrington, one of the founding figures in neurophysiology, observed that when the central nervous system signals an agonist muscle to contract, inhibitory signals are sent to the antagonist muscle, encouraging it to relax and reduce resistance. This mechanism, known as reciprocal inhibition, is essential for efficient movement and helps prevent muscle strain by balancing forces around a joint. Mechanics Joints are controlled by two opposing sets of muscles called extensors and flexors, that work in synchrony for smooth movement. When a muscle spindle is stretched, the stretch reflex is activated, and the opposing muscle gro ...
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Self-reference
Self-reference is a concept that involves referring to oneself or one's own attributes, characteristics, or actions. It can occur in language, logic, mathematics, philosophy, and other fields. In natural or formal languages, self-reference occurs when a sentence, idea or formula refers to itself. The reference may be expressed either directly—through some intermediate sentence or formula—or by means of some encoding. In philosophy, self-reference also refers to the ability of a subject to speak of or refer to itself, that is, to have the kind of thought expressed by the first person nominative singular pronoun "I" in English. Self-reference is studied and has applications in mathematics, philosophy, computer programming, second-order cybernetics, and linguistics, as well as in humor. Self-referential statements are sometimes paradoxical, and can also be considered recursive. In logic, mathematics and computing In classical philosophy, paradoxes were created b ...
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Reflexive Entertainment
Reflexive Entertainment was an American video game developer based in Lake Forest, California. The company was cofounded by Lars Brubaker, Ernie Ramirez, James C. Smith and Ion Hardie in 1997. They developed nineteen games independently (for Microsoft Windows, Xbox and Mac platforms), published two games, started distribution of downloadable casual games on their online Arcade, created a division of their Arcade entirely devoted to Mac games for Mac users and started hosting ad supported free online web browser games. In 2005, Reflexive's '' Wik and the Fable of Souls'' won three awards at the 2005 Independent Games Festival which included Innovation in Visual Art, Innovation in Game Design and the Seumas McNally Award For Independent Game Of The Year. On October 20, 2008, Reflexive Entertainment was acquired by Amazon. On February 3, 2009, Amazon.com began hosting casual game content for internet download. On March 31, 2010, Reflexive announced plans to stop selling games ...
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