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Function word. In linguistics, function words (also called functors) [ 1] are words that have little lexical meaning or have ambiguous meaning and express grammatical relationships among other words within a sentence, or specify the attitude or mood of the speaker. They signal the structural relationships that words have to one another and are ...
In mathematics, a functional is a certain type of function. The exact definition of the term varies depending on the subfield (and sometimes even the author). into the field of real or complex numbers. [ 2][ 3] In functional analysis, the term linear functional is a synonym of linear form; [ 3][ 4][ 5] that is, it is a scalar-valued linear map.
Some authors [13] reserve the word mapping for the case where the structure of the codomain belongs explicitly to the definition of the function. Some authors, such as Serge Lang, [12] use "function" only to refer to maps for which the codomain is a subset of the real or complex numbers, and use the term mapping for more general functions.
In chemistry, functionality is the presence of functional groups in a molecule. A monofunctional molecule possesses one functional group, a bifunctional (or difunctional) two, a trifunctional three, and so forth. In organic chemistry (and other fields of chemistry), a molecule's functionality has a decisive influence on its reactivity .
The most common use of the word prototype is a functional, although experimental, version of a non-military machine (e.g., automobiles, domestic appliances, consumer electronics) whose designers would like to have built by mass production means, as opposed to a mockup, which is an inert representation of a machine's appearance, often made of ...
Here F is a functional graph, meaning a set of pairs where no two pairs have the same first member. On p. 77 (op. cit.) Bourbaki states (literal translation): "Often we shall use, in the remainder of this Treatise, the word function instead of functional graph." Suppes (1960) in Axiomatic Set Theory, formally defines a relation (p.
In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by or , where f is the function. In layman's terms, the domain of a function can generally be thought of as "what x can be". [ 1] More precisely, given a function , the domain of f is X. In modern mathematical language, the domain is ...
Functional requirements may involve calculations, technical details, data manipulation and processing, and other specific functionality that define what a system is supposed to accomplish. [ 2] Behavioral requirements describe all the cases where the system uses the functional requirements, these are captured in use cases.