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Indefinite Quantity
Indefinite may refer to: * the opposite of definite in grammar ** indefinite article ** indefinite pronoun * Indefinite integral, another name for the antiderivative * Indefinite forms in algebra, see definite quadratic forms * an indefinite matrix See also * Eternity Eternity, in common parlance, is an Infinity, infinite amount of time that never ends or the quality, condition or fact of being everlasting or eternal. Classical philosophy, however, defines eternity as what is timeless or exists outside tim ... * NaN * Undefined (other) {{disambig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Definiteness
In linguistics, definiteness is a semantic feature of noun phrases that distinguishes between referents or senses that are identifiable in a given context (definite noun phrases) and those that are not (indefinite noun phrases). The prototypical definite noun phrase picks out a unique, familiar, specific referent such as ''the sun'' or ''Australia'', as opposed to indefinite examples like ''an idea'' or ''some fish''. There is considerable variation in the expression of definiteness across languages, and some languages such as Japanese do not generally mark it, so the same expression can be definite in some contexts and indefinite in others. In other languages, such as English, it is usually marked by the selection of determiner (e.g., ''the'' vs. ''a''). Still other languages, such as Danish, mark definiteness morphologically by changing the noun itself (e.g. Danish ''en'' ''mand'' (a man), ''manden'' (the man)). Definiteness as a grammatical category There are times whe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indefinite Article
In grammar, an article is any member of a class of dedicated words that are used with noun phrases to mark the identifiability of the referents of the noun phrases. The category of articles constitutes a part of speech. In English, both "the" and "a(n)" are articles, which combine with nouns to form noun phrases. Articles typically specify the grammatical definiteness of the noun phrase, but in many languages, they carry additional grammatical information such as gender, number, and case. Articles are part of a broader category called determiners, which also include demonstratives, possessive determiners, and quantifiers. In linguistic interlinear glossing, articles are abbreviated as . Types of article Definite article A definite article is an article that marks a definite noun phrase. Definite articles, such as the English '' the,'' are used to refer to a particular member of a group. It may be something that the speaker has already mentioned, or it may be ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indefinite Pronoun
An indefinite pronoun is a pronoun which does not have a specific, familiar referent. Indefinite pronouns are in contrast to definite pronouns. Indefinite pronouns can represent either count nouns or noncount nouns. They often have related forms across these categories: universal (such as ''everyone'', ''everything''), assertive existential (such as ''somebody'', ''something''), elective existential (such as ''anyone'', ''anything''), and negative (such as ''nobody'', ''nothing''). Many languages distinguish forms of indefinites used in affirmative contexts from those used in non-affirmative contexts. For instance, English "something" can be used only in affirmative contexts while "anything" is used otherwise. Indefinite pronouns are associated with indefinite determiners of a similar or identical form (such as ''every'', ''any'', ''all'', ''some''). A pronoun can be thought of as ''replacing'' a noun phrase, while a determiner ''introduces'' a noun phrase and precedes any ad ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Antiderivative
In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral of a continuous function is a differentiable function whose derivative is equal to the original function . This can be stated symbolically as . The process of solving for antiderivatives is called antidifferentiation (or indefinite integration), and its opposite operation is called ''differentiation'', which is the process of finding a derivative. Antiderivatives are often denoted by capital Roman letters such as and . Antiderivatives are related to definite integrals through the second fundamental theorem of calculus: the definite integral of a function over a closed interval where the function is Riemann integrable is equal to the difference between the values of an antiderivative evaluated at the endpoints of the interval. In physics, antiderivatives arise in the context of rectilinear motion (e.g., in explaining the relationship between position, veloc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Definite Quadratic Form
In mathematics, a definite quadratic form is a quadratic form over some real vector space that has the same sign (always positive or always negative) for every non-zero vector of . According to that sign, the quadratic form is called positive-definite or negative-definite. A semidefinite (or semi-definite) quadratic form is defined in much the same way, except that "always positive" and "always negative" are replaced by "never negative" and "never positive", respectively. In other words, it may take on zero values for some non-zero vectors of . An indefinite quadratic form takes on both positive and negative values and is called an isotropic quadratic form. More generally, these definitions apply to any vector space over an ordered field. Associated symmetric bilinear form Quadratic forms correspond one-to-one to symmetric bilinear forms over the same space.This is true only over a field of characteristic other than 2, but here we consider only ordered fields, which necessari ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indefinite Matrix
In mathematics, a symmetric matrix M with real entries is positive-definite if the real number \mathbf^\mathsf M \mathbf is positive for every nonzero real column vector \mathbf, where \mathbf^\mathsf is the row vector transpose of \mathbf. More generally, a Hermitian matrix (that is, a complex matrix equal to its conjugate transpose) is positive-definite if the real number \mathbf^* M \mathbf is positive for every nonzero complex column vector \mathbf, where \mathbf^* denotes the conjugate transpose of \mathbf. Positive semi-definite matrices are defined similarly, except that the scalars \mathbf^\mathsf M \mathbf and \mathbf^* M \mathbf are required to be positive ''or zero'' (that is, nonnegative). Negative-definite and negative semi-definite matrices are defined analogously. A matrix that is not positive semi-definite and not negative semi-definite is sometimes called ''indefinite''. Some authors use more general definitions of definiteness, permitting the matrices to b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
