Context: A definition is a statement of the meaning of a term (a word, phrase, or other set of symbols). Definitions can be classified into two large categories, intensional definitions (which try to give the essence of a term) and extensional definitions (which proceed by listing the objects that a term describes). Another important category of definitions is the class of ostensive definitions, which convey the meaning of a term by pointing out examples. A term may have many different senses and multiple meanings, and thus require multiple definitions., In mathematics , the codomain or target set of a function is the set Y into which all of the output of the function is constrained to fall . It is the set Y in the notation f : X  Y. The codomain is also sometimes referred to as the range but that term is ambiguous as it may also refer to the image . The codomain is part of a function f if it is defined as described in 1954 by Nicolas Bourbaki , namely a triple ( X , Y , F ) , with F a functional subset of the Cartesian product X × Y and X is the set of first components of the pairs in F ( the domain ) . The set F is called the graph of the function . The set of all elements of the form f ( x ) , where x ranges over the elements of the domain X , is called the image of f. In general , the image of a function is a subset of its codomain . Thus , it may not coincide with its codomain . Namely , a function that is not surjective has elements y in its codomain for which the equation f ( x ) = y does not have a solution . An alternative definition of function by Bourbaki ( Bourbaki , op. cit. , p. 77 ) , namely as just a functional graph , does not include a codomain and is also widely used . For example in set theory it is desirable to permit the domain of a function to be a proper class X , in which case there is formally no such thing as a triple ( X , Y , F ) . With such a definition functions do not have a codomain , although some authors still use it informally after introducing a function in the form f : X  Y., Space is the boundless three-dimensional extent in which objects and events have relative position and direction. Physical space is often conceived in three linear dimensions, although modern physicists usually consider it, with time, to be part of a boundless four-dimensional continuum known as spacetime. The concept of space is considered to be of fundamental importance to an understanding of the physical universe. However, disagreement continues between philosophers over whether it is itself an entity, a relationship between entities, or part of a conceptual framework., Quantity is a property that can exist as a magnitude or multitude. Quantities can be compared in terms of "more", "less", or "equal", or by assigning a numerical value in terms of a unit of measurement. Quantity is among the basic classes of things along with quality, substance, change, and relation. Some quantities are such by their inner nature (as number), while others are functioning as states (properties, dimensions, attributes) of things such as heavy and light, long and short, broad and narrow, small and great, or much and little. A small quantity is sometimes referred to as a quantulum., Mathematics (from Greek  "máthma", knowledge, study, learning) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics., Subject: codomain, Relation: instance_of, Options: (A) class (B) concept (C) definition (D) four (E) framework (F) mathematics (G) may (H) measurement (I) part (J) phrase (K) quantity (L) range (M) relation (N) relationship (O) set (P) space (Q) statement (R) study (S) three (T) two (U) understanding (V) value
Output: concept