input question: Information: - 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 "mathma", 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. Given the paragraphs above, decide what entity has the relation 'instance of' with 'concept'.???
output answer: codomain

input question: Information: - The Magic Flute ( Swedish : Trollflojten ) is Ingmar Bergman 's 1975 film version of Mozart 's opera Die Zauberflote . It was intended as a television production and was first shown on Swedish television on 1 January 1975 , but was followed by a cinema release later that year . The film was shown at the 1975 Cannes Film Festival , but was not entered into the main competition . The film is notable as the first made - for - television film ( and filmed in then - standard 1:1.33 television aspect ratio ) with a stereo soundtrack . - Wolfgang Amadeus Mozart (; 27 January 1756 5 December 1791), baptised as Johannes Chrysostomus Wolfgangus Theophilus Mozart, was a prolific and influential composer of the Classical era. - Emanuel Schikaneder (1 September 1751 21 September 1812), born Johann Joseph Schickeneder, was a German impresario, dramatist, actor, singer and composer. He wrote the libretto of Wolfgang Amadeus Mozart's opera "The Magic Flute" and was the builder of the Theater an der Wien. Branscombe called him "one of the most talented theatre men of his era". - Ernst Ingmar Bergman (14 July 1918 30 July 2007) was a Swedish director, writer, and producer who worked in film, television, theatre and radio. He is recognized as one of the most accomplished and influential auteurs of all time, and is most famous for films such as "The Seventh Seal" (1957), "Wild Strawberries" (1957), "Persona" (1966), "Cries and Whispers" (1972) and "Fanny and Alexander" (1982). - The Seventh Seal is a 1957 Swedish drama-fantasy film written and directed by Ingmar Bergman. Set in Sweden during the Black Death, it tells of the journey of a medieval knight (Max von Sydow) and a game of chess he plays with the personification of Death (Bengt Ekerot), who has come to take his life. Bergman developed the film from his own play "Wood Painting". The title refers to a passage from the Book of Revelation, used both at the very start of the film, and again towards the end, beginning with the words "And when the Lamb had opened the seventh seal, there was silence in heaven about the space of half an hour". Here the motif of silence refers to the "silence of God," which is a major theme of the film. - The Magic Flute (German: ), K.620, is an opera in two acts by Wolfgang Amadeus Mozart to a German libretto by Emanuel Schikaneder. The work is in the form of a "Singspiel", a popular form that included both singing and spoken dialogue. The work premiered on 30 September 1791 at Schikaneder's theatre, the Freihaus-Theater auf der Wieden in Vienna, just two months before the composer's premature death. Given the paragraphs above, decide what entity has the relation 'composer' with 'wolfgang amadeus mozart'.???
output answer:
the magic flute