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Operator Grammar
Operator grammar is a mathematical theory of human language that explains how language carries information. This theory is the culmination of the life work of Zellig Harris, with major publications toward the end of the last century. Operator grammar proposes that each human language is a self-organizing system in which both the syntactic and semantic properties of a word are established purely in relation to other words. Thus, no external system ( metalanguage) is required to define the rules of a language. Instead, these rules are learned through exposure to usage and through participation, as is the case with most social behavior. The theory is consistent with the idea that language evolved gradually, with each successive generation introducing new complexity and variation. Operator grammar posits three universal constraints: dependency (certain words depend on the presence of other words to form an utterance), likelihood (some combinations of words and their dependents are ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Argument (linguistics)
In linguistics, an argument is an expression that helps complete the meaning of a predicate, the latter referring in this context to a main verb and its auxiliaries. In this regard, the ''complement'' is a closely related concept. Most predicates take one, two, or three arguments. A predicate and its arguments form a ''predicate-argument structure''. The discussion of predicates and arguments is associated most with (content) verbs and noun phrases (NPs), although other syntactic categories can also be construed as predicates and as arguments. Arguments must be distinguished from adjuncts. While a predicate needs its arguments to complete its meaning, the adjuncts that appear with a predicate are optional; they are not necessary to complete the meaning of the predicate. Most theories of syntax and semantics acknowledge arguments and adjuncts, although the terminology varies, and the distinction is generally believed to exist in all languages. Dependency grammars sometimes call arg ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paraphrase
A paraphrase () is a restatement of the meaning of a text or passage using other words. The term itself is derived via Latin ', . The act of paraphrasing is also called ''paraphrasis''. History Although paraphrases likely abounded in oral traditions, paraphrasing as a specific educational exercise dates back to at least Roman times, when the author Quintilian recommended it for students to develop dexterity in language. In the Middle Ages, this tradition continued, with authors such as Geoffrey of Vinsauf developing schoolroom exercises that included both rhetorical manipulations and paraphrasing as a way of generating poems and speeches. Paraphrasing seems to have dropped off as a specific exercise that students learn, a drop off that largely coincides with the removal of Classical texts from the core of Western education. There is, however, renewed interest in the study of paraphrases, given concerns around plagiarism and original authorship. Analysis A paraphrase typicall ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Transposition (mathematics)
In mathematics, and in particular in group theory, a cyclic permutation (or cycle) is a permutation of the elements of some set ''X'' which maps the elements of some subset ''S'' of ''X'' to each other in a cyclic fashion, while fixing (that is, mapping to themselves) all other elements of ''X''. If ''S'' has ''k'' elements, the cycle is called a ''k''-cycle. Cycles are often denoted by the list of their elements enclosed with parentheses, in the order to which they are permuted. For example, given ''X'' = , the permutation (1, 3, 2, 4) that sends 1 to 3, 3 to 2, 2 to 4 and 4 to 1 (so ''S'' = ''X'') is a 4-cycle, and the permutation (1, 3, 2) that sends 1 to 3, 3 to 2, 2 to 1 and 4 to 4 (so ''S'' = and 4 is a fixed element) is a 3-cycle. On the other hand, the permutation that sends 1 to 3, 3 to 1, 2 to 4 and 4 to 2 is not a cyclic permutation because it separately permutes the pairs and . The set ''S'' is called the orbit of the cycle. Every permutation on finitely many eleme ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Relative Pronoun
A relative pronoun is a pronoun that marks a relative clause. It serves the purpose of conjoining modifying information about an antecedent referent. An example is the word ''which'' in the sentence "This is the house which Jack built." Here the relative pronoun ''which'' conjoins the relative clause "Jack built," which modifies the noun ''house'' in the main sentence. ''Which'' has an anaphoric relationship to its antecedent "house" in the main clause. In the English language, the following are the most common relative pronouns: ''which'', ''that'', ''whose'', ''whoever'', ''whomever'', ''who'' and ''whom''. According to some dependency grammar theories, a relative pronoun does not simply mark the subordinate (relative) clause but also may be considered to play the role of a noun within that clause. For example, in the relative clause "that Jack built," "that" is deemed a pronoun functioning as the object of the verb "built." Compare this with "Jack built the house after he m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Semicolon
The semicolon or semi-colon is a symbol commonly used as orthographic punctuation. In the English language, a semicolon is most commonly used to link (in a single sentence) two independent clauses that are closely related in thought. When a semicolon joins two or more ideas in one sentence, those ideas are then given equal rank. Semicolons can also be used in place of commas to separate the items in a list, particularly when the elements of that list contain commas. The semicolon is one of the least understood of the standard marks, and so it is not as frequently used by many English speakers. In the QWERTY keyboard layout, the semicolon resides in the unshifted homerow beneath the little finger of the right hand and has become widely used in programming languages as a statement separator or ''terminator''. History In 1496, the semicolon is attested in Pietro Bembo's book ' printed by Aldo Manuzio. The punctuation also appears in later writings of Bembo. Moreover, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Subordinate Clause
A subordinate clause, dependent clause, subclause, or embedded clause is a clause that is embedded within a complex sentence. For instance, in the English sentence "I know that Bette is a dolphin", the clause "that Bette is a dolphin" occurs as the complement of the verb "know" rather than as a freestanding sentence. Subtypes of dependent clauses include content clauses, relative clauses, and adverbial clauses. Content clause A content clause, also known as a "noun clause", provides content implied or commented upon by its main clause. It can be a subject, predicate nominative, direct object, appositive, indirect object, or object of the preposition. Some of the English words that introduce content clauses are ''that, who'' (and formal ''whom''), ''whoever'' (and formal ''whomever''), ''whether, why, what, how, when'', and ''where''. Notice that some of these words also introduce relative and adverbial clauses. A clause is a content clause if a pronoun (''he, she, it,'' or '' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prepositional Phrase
An adpositional phrase, in linguistics, is a syntactic category that includes ''prepositional phrases'', ''postpositional phrases'', and ''circumpositional phrases''. Adpositional phrases contain an adposition (preposition, postposition, or circumposition) as head (linguistics), head and usually a Complement (linguistics), complement such as a noun phrase. Language syntax treats adpositional phrases as units that act as Argument (linguistics), arguments or Adjunct (grammar), adjuncts. Prepositional and postpositional phrases differ by the order of the words used. Languages that are primarily Head-directionality parameter, head-initial such as English language, English predominantly use prepositional phrases whereas head-final languages predominantly employ postpositional phrases. Many languages have both types, as well as circumpositional phrases. Types There are three types of adpositional phrases: prepositional phrases, postpositional phrases, and circumpositional phrases. Pre ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Morphology (linguistics)
In linguistics, morphology () is the study of words, how they are formed, and their relationship to other words in the same language. It analyzes the structure of words and parts of words such as stems, root words, prefixes, and suffixes. Morphology also looks at parts of speech, intonation and stress, and the ways context can change a word's pronunciation and meaning. Morphology differs from morphological typology, which is the classification of languages based on their use of words, and lexicology, which is the study of words and how they make up a language's vocabulary. While words, along with clitics, are generally accepted as being the smallest units of syntax, in most languages, if not all, many words can be related to other words by rules that collectively describe the grammar for that language. For example, English speakers recognize that the words ''dog'' and ''dogs'' are closely related, differentiated only by the plurality morpheme "-s", only found bound to noun ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Link Grammar
Link grammar (LG) is a theory of syntax by Davy Temperley and Daniel Sleator which builds relations between pairs of words, rather than constructing constituents in a phrase structure hierarchy. Link grammar is similar to dependency grammar, but dependency grammar includes a head-dependent relationship, whereas Link Grammar makes the head-dependent relationship optional (links need not indicate direction). Colored Multiplanar Link Grammar (CMLG) is an extension of LG allowing crossing relations between pairs of words. The relationship between words is indicated with link types, thus making the Link grammar closely related to certain categorial grammars. For example, in a subject–verb–object language like English, the verb would look left to form a subject link, and right to form an object link. Nouns would look right to complete the subject link, or left to complete the object link. In a subject–object–verb language like Persian, the verb would look left to form an obj ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Selection (linguistics)
In linguistics, selection denotes the ability of predicates to determine the semantic content of their arguments. Predicates select their arguments, which means they limit the semantic content of their arguments. One sometimes draws a distinction between types of selection; one acknowledges both ''s(emantic)-selection'' and ''c(ategory)-selection''. Selection in general stands in contrast to subcategorization: predicates both select and subcategorize for their complement arguments, whereas they only select their subject arguments. Selection is a semantic concept, whereas subcategorization is a syntactic one. Selection is closely related to valency, a term used in other grammars than the Chomskian generative grammar, for a similar phenomenon. Examples The following pairs of sentences will illustrate the concept of selection: ::a. The plant is wilting. ::b. #The building is wilting. - The argument ''the building'' violates the selectional restrictions of the predicate ''is wilting''. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Part Of Speech
In grammar, a part of speech or part-of-speech (abbreviated as POS or PoS, also known as word class or grammatical category) is a category of words (or, more generally, of lexical items) that have similar grammatical properties. Words that are assigned to the same part of speech generally display similar syntactic behavior (they play similar roles within the grammatical structure of sentences), sometimes similar morphological behavior in that they undergo inflection for similar properties and even similar semantic behavior. Commonly listed English parts of speech are noun, verb, adjective, adverb, pronoun, preposition, conjunction, interjection, numeral, article, and determiner. Other terms than ''part of speech''—particularly in modern linguistic classifications, which often make more precise distinctions than the traditional scheme does—include word class, lexical class, and lexical category. Some authors restrict the term ''lexical category'' to refer only to a particular ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
