Link Grammar
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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 ...
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Syntax
In linguistics, syntax () is the study of how words and morphemes combine to form larger units such as phrases and sentences. Central concerns of syntax include word order, grammatical relations, hierarchical sentence structure ( constituency), agreement, the nature of crosslinguistic variation, and the relationship between form and meaning (semantics). There are numerous approaches to syntax that differ in their central assumptions and goals. Etymology The word ''syntax'' comes from Ancient Greek roots: "coordination", which consists of ''syn'', "together", and ''táxis'', "ordering". Topics The field of syntax contains a number of various topics that a syntactic theory is often designed to handle. The relation between the topics is treated differently in different theories, and some of them may not be considered to be distinct but instead to be derived from one another (i.e. word order can be seen as the result of movement rules derived from grammatical relations). Se ...
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Predicative Adjective
A predicative expression (or just predicative) is part of a clause predicate, and is an expression that typically follows a copula (or linking verb), e.g. ''be'', ''seem'', ''appear'', or that appears as a second complement of a certain type of verb, e.g. ''call'', ''make'', ''name'', etc. The most frequently acknowledged types of predicative expressions are predicative adjectives (also ''predicate adjectives'') and predicative nominals (also ''predicate nominals''). The main trait of all predicative expressions is that they serve to express a property that is assigned to a "subject", whereby this subject is usually the clause subject, but at times it can be the clause object. A primary distinction is drawn between predicative (also ''predicate'') and attributive expressions. Further, predicative expressions are typically ''not'' clause arguments, and they are also typically ''not'' clause adjuncts. There is hence a three-way distinction between predicative expressions, arguments, ...
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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''. ...
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Markov Property
In probability theory and statistics, the term Markov property refers to the memoryless property of a stochastic process. It is named after the Russian mathematician Andrey Markov. The term strong Markov property is similar to the Markov property, except that the meaning of "present" is defined in terms of a random variable known as a stopping time. The term Markov assumption is used to describe a model where the Markov assumption is assumed to hold, such as a hidden Markov model. A Markov random field extends this property to two or more dimensions or to random variables defined for an interconnected network of items. An example of a model for such a field is the Ising model. A discrete-time stochastic process satisfying the Markov property is known as a Markov chain. Introduction A stochastic process has the Markov property if the conditional probability distribution of future states of the process (conditional on both past and present values) depends only upon the present ...
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Floating-point
In computing, floating-point arithmetic (FP) is arithmetic that represents real numbers approximately, using an integer with a fixed precision, called the significand, scaled by an integer exponent of a fixed base. For example, 12.345 can be represented as a base-ten floating-point number: 12.345 = \underbrace_\text \times \underbrace_\text\!\!\!\!\!\!^ In practice, most floating-point systems use base two, though base ten (decimal floating point) is also common. The term ''floating point'' refers to the fact that the number's radix point can "float" anywhere to the left, right, or between the significant digits of the number. This position is indicated by the exponent, so floating point can be considered a form of scientific notation. A floating-point system can be used to represent, with a fixed number of digits, numbers of very different orders of magnitude — such as the number of meters between galaxies or between protons in an atom. For this reason, floating-poi ...
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Planar Graph
In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints. In other words, it can be drawn in such a way that no edges cross each other. Such a drawing is called a plane graph or planar embedding of the graph. A plane graph can be defined as a planar graph with a mapping from every node to a point on a plane, and from every edge to a plane curve on that plane, such that the extreme points of each curve are the points mapped from its end nodes, and all curves are disjoint except on their extreme points. Every graph that can be drawn on a plane can be drawn on the sphere as well, and vice versa, by means of stereographic projection. Plane graphs can be encoded by combinatorial maps or rotation systems. An equivalence class of topologically equivalent drawings on the sphere, usually with additional assumptions such as the absence of isthmuses, is called a pl ...
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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 ...
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Satisfiability
In mathematical logic, a formula is ''satisfiable'' if it is true under some assignment of values to its variables. For example, the formula x+3=y is satisfiable because it is true when x=3 and y=6, while the formula x+1=x is not satisfiable over the integers. The dual concept to satisfiability is validity; a formula is ''valid'' if every assignment of values to its variables makes the formula true. For example, x+3=3+x is valid over the integers, but x+3=y is not. Formally, satisfiability is studied with respect to a fixed logic defining the syntax of allowed symbols, such as first-order logic, second-order logic or propositional logic. Rather than being syntactic, however, satisfiability is a semantic property because it relates to the ''meaning'' of the symbols, for example, the meaning of + in a formula such as x+1=x. Formally, we define an interpretation (or model) to be an assignment of values to the variables and an assignment of meaning to all other non-logical symbols, ...
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Preposition
Prepositions and postpositions, together called adpositions (or broadly, in traditional grammar, simply prepositions), are a class of words used to express spatial or temporal relations (''in'', ''under'', ''towards'', ''before'') or mark various semantic roles (''of'', ''for''). A preposition or postposition typically combines with a noun phrase, this being called its complement, or sometimes object. A preposition comes before its complement; a postposition comes after its complement. English generally has prepositions rather than postpositions – words such as ''in'', ''under'' and ''of'' precede their objects, such as ''in England'', ''under the table'', ''of Jane'' – although there are a few exceptions including "ago" and "notwithstanding", as in "three days ago" and "financial limitations notwithstanding". Some languages that use a different word order have postpositions instead, or have both types. The phrase formed by a preposition or postposition together with its comp ...
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Grammatical Particle
In grammar, the term ''particle'' (abbreviated ) has a traditional meaning, as a part of speech that cannot be inflected, and a modern meaning, as a function word associated with another word or phrase, generally in order to impart meaning. Although a particle may have an intrinsic meaning, and indeed may fit into other grammatical categories, the fundamental idea of the particle is to add context to the sentence, expressing a mood or indicating a specific action. In English, for instance, the phrase "oh well" has no purpose in speech other than to convey a mood. The word 'up' would be a particle in the phrase to 'look up' (as in the phrase ''"''look up this topic''"''), implying that one researches something, rather than literally gazing skywards. Many languages use particles, in varying amounts and for varying reasons. In Hindi, for instance, they may be used as honorifics, or to indicate emphasis or negation. In some languages they are more clearly defined, such as Chinese, whic ...
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Determiner
A determiner, also called determinative (abbreviated ), is a word, phrase, or affix that occurs together with a noun or noun phrase and generally serves to express the reference of that noun or noun phrase in the context. That is, a determiner may indicate whether the noun is referring to a definite or indefinite element of a class, to a closer or more distant element, to an element belonging to a specified person or thing, to a particular number or quantity, etc. Common kinds of determiners include definite and indefinite articles (''the'', ''a''), demonstratives (''this'', ''that''), possessive determiners (''my,'' ''their''), cardinal numerals (''one'', ''two''), quantifiers (''many'', ''both''), distributive determiners (''each'', ''every''), and interrogative determiners (''which'', ''what''). Description Most determiners have been traditionally classed either as adjectives or pronouns, and this still occurs in traditional grammars: for example, demonstrative and possessi ...
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Common Noun
A proper noun is a noun that identifies a single entity and is used to refer to that entity (''Africa'', ''Jupiter'', ''Sarah'', ''Microsoft)'' as distinguished from a common noun, which is a noun that refers to a class of entities (''continent, planet, person, corporation'') and may be used when referring to instances of a specific class (a ''continent'', another ''planet'', these ''persons'', our ''corporation''). Some proper nouns occur in plural form (optionally or exclusively), and then they refer to ''groups'' of entities considered as unique (the ''Hendersons'', the ''Everglades'', ''the Azores'', the ''Pleiades''). Proper nouns can also occur in secondary applications, for example modifying nouns (the ''Mozart'' experience; his ''Azores'' adventure), or in the role of common nouns (he's no ''Pavarotti''; a few would-be ''Napoleons''). The detailed definition of the term is problematic and, to an extent, governed by convention. A distinction is normally made in current ling ...
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