instruction:
In this task, you are given a context, a subject, a relation, and many options. Based on the context, from the options select the object entity that has the given relation with the subject. Answer with text (not indexes).
question:
Context: Mary Antoinette "Tony" Perry (June 27, 1888June 28, 1946) was an actress, director and co-founder of the American Theatre Wing. She is the namesake of the Tony Awards., Howard Bay ( May 3 , 1912 -- November 21 , 1986 , New York City , New York ) was an American scenic , lighting and costume designer for stage , opera and film . He won the Tony Award for Best Scenic Design twice ., The Antoinette Perry Award for Excellence in Theatre, more commonly known as the Tony Award, recognizes achievement in live Broadway theatre. The awards are presented by the American Theatre Wing and The Broadway League at an annual ceremony in New York City. The awards are given for Broadway productions and performances, and an award is given for regional theatre. Several discretionary non-competitive awards are also given, including a Special Tony Award, the Tony Honors for Excellence in Theatre, and the Isabelle Stevenson Award. The awards are named after Antoinette "Tony" Perry, co-founder of the American Theatre Wing., Broadway theatre, commonly known as Broadway, refers to the theatrical performances presented in the 41 professional theatres with 500 or more seats located in the Theater District and Lincoln Center along Broadway, in Midtown Manhattan, New York City. Along with London's West End theatres, Broadway theatres are widely considered to represent the highest level of commercial theatre in the English-speaking world., The Broadway League, formerly the League of American Theatres and Producers and League of New York Theatres and Producers, is the national trade association for the Broadway theatre industry based in New York, New York. Its members include theatre owners and operators, producers, presenters, and general managers in New York and more than 250 other North American cities, as well as suppliers of goods and services to the theatre industry., The Tony Honors for Excellence in Theatre is a non-competitive award created by the American Theatre Wing in 1990. They are presented to institutions, individuals and/or organizations that have demonstrated extraordinary achievement in theatre, but are not eligible to compete in any of the established Tony Award categories. The Tony Honors "are announced in the autumn. They are bestowed at a separate ceremony that affords recipients a special moment in the spotlight." As explained in "Playbill", "In 2003, a new tradition began for the Tony Honors, which were previously announced during the Tony Awards broadcast. Last year, however, the Honors were presented in the fall...", The City of New York, often called New York City or simply New York, is the most populous city in the United States. With an estimated 2015 population of 8,550,405 distributed over a land area of just , New York City is also the most densely populated major city in the United States. Located at the southern tip of the state of New York, the city is the center of the New York metropolitan area, one of the most populous urban agglomerations in the world. A global power city, New York City exerts a significant impact upon commerce, finance, media, art, fashion, research, technology, education, and entertainment, its fast pace defining the term "New York minute". Home to the headquarters of the United Nations, New York is an important center for international diplomacy and has been described as the cultural and financial capital of the world., The American Theatre Wing, "the "Wing"" for short, is a New York City-based organization "dedicated to supporting excellence and education in theatre," according to its mission statement. Originally known as the Stage Women's War Relief during World War I, it later became a part of the World War II Allied Relief Fund under its current name. The ATW created and sponsors the Tony Awards in theatrical arts., The Special Tony Award category includes the Lifetime Achievement Award and Special Tony Award. These are non-competitive honorary awards, and the titles have changed over the years. The Tony Award for Lifetime Achievement in the Theatre is to "honor an individual for the body of his or her work." (The Tony Award for Best Special Theatrical Event was a competitive award, given from 2001 to 2009.) Another non-competitive Tony award is the Tony Honors for Excellence in Theatre, to "recognize the achievements of individuals and organizations that do not fit into any of the competitive categories.", Subject: howard bay , Relation: place_of_death, Options: (A) best (B) broadway (C) lincoln (D) london (E) manhattan (F) mary (G) media (H) mission (I) most (J) perry (K) stevenson (L) wing (M) york
answer:
manhattan


question:
Context: A record label or record company is a brand or trademark associated with the marketing of music recordings and music videos. Often, a record label is also a publishing company that manages such brands and trademarks, coordinates the production, manufacture, distribution, marketing, promotion, and enforcement of copyright for sound recordings and music videos; conducts talent scouting and development of new artists ("artists and repertoire" or "A&R"); and maintains contracts with recording artists and their managers. The term "record label" derives from the circular label in the center of a vinyl record which prominently displays the manufacturer's name, along with other information., The David Grisman Quintet is a self - styled alternative bluegrass / acoustic jazz band founded by David Grisman in 1975 in San Francisco , California , USA . Inspired by such diverse genres as Bill Monroe 's bluegrass legacy and Django Reinhard 's 1930s swing , the Quintet created an entirely new style of acoustic music , and has inspired countless other musicians to take similarly eclectic approaches to their music . Since its formation , the Quintet 's members have included guitar virtuoso Tony Rice and multiinstrumentalists Mark O'Connor , Mike Marshall , Darol Anger and Jon Sholle . The Quintet has performed and recorded with special guests such as violin great Stephane Grapelli , and remains active , with appearances scheduled at several music festivals around the U.S. in 2014 -- 2015 . The National Public Radio program Car Talk uses the band 's instrumental `` Dawggy Mountain Breakdown '' as its theme music ., A composer (Latin "compn"; literally "one who puts together") is a person who creates or writes music, which can be vocal music (for a singer or choir), instrumental music (e.g., for solo piano, string quartet, wind quintet or orchestra) or music which combines both instruments and voices (e.g., opera or art song, which is a singer accompanied by a pianist). The core meaning of the term refers to individuals who have contributed to the tradition of Western classical music through creation of works expressed in written musical notation (e.g., sheet music scores)., Jazz violin is the use of the violin or electric violin to improvise solo lines. The earliest references to jazz performance using the violin as a solo instrument was during the first decades of the 20th century. Early jazz violinists included Eddie South, who played violin with Jimmy Wade's Dixielanders in Chicago; Stuff Smith; Claude "Fiddler" Williams, who played with Andy Kirk and his Twelve Clouds of Joy. Joe Venuti was best known for his work with guitarist Eddie Lang during the 1920s. Georgie Stoll was a jazz violinist who became an orchestra leader and film music director., Folk music includes both traditional music and the genre that evolved from it during the 20th century folk revival. The term originated in the 19th century but is often applied to music that is older than that. Some types of folk music are also called world music. "Traditional folk music" has been defined in several ways: as music transmitted orally, music with unknown composers, or music performed by custom over a long period of time. It has been contrasted with commercial and classical styles., Chester Burton "Chet" Atkins (June 20, 1924  June 30, 2001) was an American musician, occasional vocalist, songwriter, and record producer, who along with Owen Bradley and Bob Ferguson, among others, created the country music style that came to be known as the Nashville sound, which expanded country music's appeal to adult pop music fans. He was primarily known as a guitarist. He also played the mandolin, fiddle, banjo, and ukulele., Mark O'Connor (born August 5, 1961, Seattle) is an American bluegrass, jazz and country violinist, fiddler, composer and music teacher. O'Connor has received numerous awards for both his playing and his composition. As a teenager he won national string instrument championships for his virtuoso playing of the guitar and mandolin as well as the fiddle. His mentors include Texas fiddler Benny Thomasson who taught O'Connor to fiddle as a teenager, French jazz violinist Stéphane Grappelli with whom O'Connor toured as a teenager, and guitarist Chet Atkins., Stéphane Grappelli (26 January 1908  1 December 1997) was a French jazz violinist who founded the Quintette du Hot Club de France with guitarist Django Reinhardt in 1934. It was one of the first all-string jazz bands. He has been called "the grandfather of jazz violinists" and continued playing concerts around the world well into his 80s., Texas is the second largest state in the United States by both area and population. Geographically located in the south central part of the country, Texas shares borders with the U.S. states of Louisiana to the east, Arkansas to the northeast, Oklahoma to the north, New Mexico to the west, and the Mexican states of Chihuahua, Coahuila, Nuevo León, and Tamaulipas to the southwest, while the Gulf of Mexico is to the southeast., Induction to the International Bluegrass Music Hall of Fame, called the International Bluegrass Music Hall of Honor from its creation in 1991 through 2006, is managed by the International Bluegrass Music Association, and the Hall itself is maintained at the International Bluegrass Music Museum in Owensboro, Kentucky.
Selection method.
Each year a nominating committee creates a slate of 10-15 candidates. From these names, electors cast ballots to narrow the nominees to five finalists. There are over 200 electors who, themselves, must have participated actively in bluegrass for at least 10 years, and must merit respect and recognition for their accomplishments and/or knowledge in one or more aspects of the field., Danville is an independent city in the Commonwealth of Virginia. As of the 2010 census, the population was 43,055. It is bounded by Pittsylvania County, Virginia and Caswell County, North Carolina. It hosts the Danville Braves baseball club of the Appalachian League., The violin is a wooden string instrument in the violin family. It is the smallest and highest-pitched instrument in the family in regular use. Smaller violin-type instruments are known, including the violino piccolo and the kit violin, but these are virtually unused in the 2010s. The violin typically has four strings tuned in perfect fifths, and is most commonly played by drawing a bow across its strings, though it can also be played by plucking the strings with the fingers (pizzicato). Violins are important instruments in a wide variety of musical genres. They are most prominent in the Western classical tradition and in many varieties of folk music. They are also frequently used in genres of folk including country music and bluegrass music and in jazz. Electric violins are used in some forms of rock music; further, the violin has come to be played in many non-Western music cultures, including Indian music and Iranian music. The violin is sometimes informally called a fiddle, particularly in Irish traditional music and bluegrass, but this nickname is also used regardless of the type of music played on it., Tony Rice (born David Anthony Rice, June 8, 1951, Danville, Virginia, United States) is an American guitarist and bluegrass musician. He is perhaps the most influential living acoustic guitar player in bluegrass, progressive bluegrass, newgrass and flattop acoustic jazz. He was inducted into the International Bluegrass Music Hall of Fame in 2013., A mandolin (; literally "small mandola") is a musical instrument in the lute family and is usually plucked with a plectrum or "pick". It commonly has four courses of doubled metal strings tuned in unison (8 strings), although five (10 strings) and six (12 strings) course versions also exist. The courses are normally tuned in a succession of perfect fifths. It is the soprano member of a family that includes the mandola, octave mandolin, mandocello and mandobass., The City of New York, often called New York City or simply New York, is the most populous city in the United States. With an estimated 2015 population of 8,550,405 distributed over a land area of just , New York City is also the most densely populated major city in the United States. Located at the southern tip of the state of New York, the city is the center of the New York metropolitan area, one of the most populous urban agglomerations in the world. A global power city, New York City exerts a significant impact upon commerce, finance, media, art, fashion, research, technology, education, and entertainment, its fast pace defining the term "New York minute". Home to the headquarters of the United Nations, New York is an important center for international diplomacy and has been described as the cultural and financial capital of the world., Car Talk is a Peabody Award-winning radio talk show broadcast weekly on NPR stations and elsewhere. Its subjects were automobiles and automotive repair, discussed often in a humorous way. It was hosted by brothers Tom and Ray Magliozzi, known also as "Click and Clack, the Tappet Brothers". The show was produced from 1977 to October 2012, when the Magliozzi brothers retired. Edited reruns (which are introduced as "The Best of Car Talk") continue to be available for weekly airing on NPR affiliates., An instrumental is a musical composition or recording without lyrics, or singing, although it might include some inarticulate vocals, such as shouted backup vocals in a Big Band setting. The music is primarily or exclusively produced by musical instruments. An instrumental can exist in music notation, after it is written by a composer; in the mind of the composer (especially in cases where the composer herself will perform the piece, as in the case of a blues solo guitarist or a folk music fiddle player); as a piece that is performed live by a single instrumentalist or a musical ensemble, which could range in size from a duo or trio to a large Big Band, concert band or orchestra., Darol Anger is an American violinist and founding member of The David Grisman Quintet, The George Foster Peabody Awards (or simply Peabody Awards) program, named for American businessman and philanthropist George Peabody, recognizes distinguished and meritorious public service by American radio and television stations, networks, online media, producing organizations, and individuals., David Grisman (born March 23, 1945, in Hackensack, New Jersey) is an American bluegrass/newgrass mandolinist and composer of acoustic music. In the early 1990s, he started the Acoustic Disc record label to help spread acoustic and instrumental music., Jazz is a music genre that originated amongst African Americans in New Orleans, United States, in the late 19th and early 20th centuries. Since the 1920s jazz age, jazz has become recognized as a major form of musical expression. It emerged in the form of independent traditional and popular musical styles, all linked by the common bonds of African American and European American musical parentage with a performance orientation. Jazz is characterized by swing and blue notes, call and response vocals, polyrhythms and improvisation. Jazz has roots in West African cultural and musical expression, and in African-American music traditions including blues and ragtime, as well as European military band music. Although the foundation of jazz is deeply rooted within the Black experience of the United States, different cultures have contributed their own experience and styles to the art form as well. Intellectuals around the world have hailed jazz as "one of America's original art forms"., Jon Sholle, born April 2, 1949 in New York City, is an American guitarist, multi-instrumentalist, and musician who plays mainly jazz, bluegrass, rock, country, roots music, and folk music., String instruments, stringed instruments, or chordophones are musical instruments that produce sound from vibrating strings when the performer plays or sounds the strings in some manner. , The guitar is a musical instrument classified as a string instrument with anywhere from four to 18 strings, usually having six. The sound is projected either acoustically, using a hollow wooden or plastic and wood box (for an acoustic guitar), or through electrical amplifier and a speaker (for an electric guitar). It is typically played by strumming or plucking the strings with the fingers, thumb and/or fingernails of the right hand or with a pick while fretting (or pressing against the frets) the strings with the fingers of the left hand. The guitar is a type of chordophone, traditionally constructed from wood and strung with either gut, nylon or steel strings and distinguished from other chordophones by its construction and tuning. The modern guitar was preceded by the gittern, the vihuela, the four-course Renaissance guitar, and the five-course baroque guitar, all of which contributed to the development of the modern six-string instrument., Subject: david grisman quintet, Relation: genre, Options: (A) art (B) baroque (C) baseball (D) big band (E) bluegrass music (F) choir (G) country (H) country music (I) education (J) family (K) fashion (L) information (M) instrumental (N) jazz (O) march (P) marketing (Q) military (R) music (S) musical (T) opera (U) orchestra (V) radio (W) ragtime (X) renaissance (Y) rock (Z) string quartet ([) swing (\) talk show (]) technology (^) television (_) urban (`) vocal music (a) western (b) world music
answer:
bluegrass music


question:
Context: Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical problems about these sets of zeros., In Algebraic number theory, an algebraic integer is a complex number that is a root of some monic polynomial (a polynomial whose leading coefficient is 1) with coefficients in formula_1 (the set of integers). The set of all algebraic integers, , is closed under addition and multiplication and therefore is a commutative subring of the complex numbers. The ring is the integral closure of regular integers formula_1 in complex numbers., Commutative algebra is the branch of algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent examples of commutative rings include polynomial rings, rings of algebraic integers, including the ordinary integers formula_1, and "p"-adic integers., Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size (enumerative combinatorics), deciding when certain criteria can be met, and constructing and analyzing objects 
meeting the criteria (as in combinatorial designs and matroid theory), finding "largest", "smallest", or "optimal" objects (extremal combinatorics and combinatorial optimization), and studying combinatorial structures arising in an algebraic context, or applying algebraic techniques to combinatorial problems (algebraic combinatorics)., An integer (from the Latin "integer" meaning "whole") is a number that can be written without a fractional component. For example, 21, 4, 0, and 2048 are integers, while 9.75, , and  are not., 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., Combinatorial design theory is the part of combinatorial mathematics that deals with the existence, construction and properties of systems of finite sets whose arrangements satisfy generalized concepts of "balance" and/or "symmetry". These concepts are not made precise so that a wide range of objects can be thought of as being under the same umbrella. At times this might involve the numerical sizes of set intersections as in block designs, while at other times it could involve the spatial arrangement of entries in an array as in Sudoku grids., Enumerative combinatorics is an area of combinatorics that deals with the number of ways that certain patterns can be formed. Two examples of this type of problem are counting combinations and counting permutations. More generally, given an infinite collection of finite sets "S" indexed by the natural numbers, enumerative combinatorics seeks to describe a "counting function" which counts the number of objects in "S" for each "n". Although counting the number of elements in a set is a rather broad mathematical problem, many of the problems that arise in applications have a relatively simple combinatorial description. The twelvefold way provides a unified framework for counting permutations, combinations and partitions., In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra. Complementarily, noncommutative algebra is the study of noncommutative rings where multiplication is not or is not required to be commutative., In combinatorics, a branch of mathematics, a matroid is a structure that abstracts and generalizes the notion of linear independence in vector spaces. There are many equivalent ways to define a matroid, the most significant being in terms of independent sets, bases, circuits, closed sets or flats, closure operators, and rank functions., In applied mathematics and theoretical computer science, combinatorial optimization is a topic that consists of finding an optimal object from a finite set of objects. In many such problems, exhaustive search is not feasible. It operates on the domain of those optimization problems, in which the set of feasible solutions is discrete or can be reduced to discrete, and in which the goal is to find the best solution. Some common problems involving combinatorial optimization are the travelling salesman problem ("TSP") and the minimum spanning tree problem ("MST")., Algebra (from Arabic ""al-jabr"" meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. As such, it includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra, the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians., Combinatorial commutative algebra is a relatively new , rapidly developing mathematical discipline . As the name implies , it lies at the intersection of two more established fields , commutative algebra and combinatorics , and frequently uses methods of one to address problems arising in the other . Less obviously , polyhedral geometry plays a significant role . One of the milestones in the development of the subject was Richard Stanley 's 1975 proof of the Upper Bound Conjecture for simplicial spheres , which was based on earlier work of Melvin Hochster and Gerald Reisner . While the problem can be formulated purely in geometric terms , the methods of the proof drew on commutative algebra techniques . A signature theorem in combinatorial commutative algebra is the characterization of h - vectors of simplicial polytopes conjectured in 1970 by Peter McMullen . Known as the g - theorem , it was proved in 1979 by Stanley ( necessity of the conditions , algebraic argument ) and by Lou Billera and Carl W. Lee ( sufficiency , combinatorial and geometric construction ) . A major open question is the extension of this characterization from simplicial polytopes to simplicial spheres , the g - conjecture ., In mathematics, especially in the field of abstract algebra, a polynomial ring or polynomial algebra is a ring (which is also a commutative algebra) formed from the set of polynomials in one or more indeterminates (traditionally also called variables) with coefficients in another ring, often a field. Polynomial rings have influenced much of mathematics, from the Hilbert basis theorem, to the construction of splitting fields, and to the understanding of a linear operator. Many important conjectures involving polynomial rings, such as Serre's problem, have influenced the study of other rings, and have influenced even the definition of other rings, such as group rings and rings of formal power series., Algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algebra., Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers, finite fields, and function fields. These properties, such as whether a ring admits unique factorization, the behavior of ideals, and the Galois groups of fields, can resolve questions of primary importance in number theory, like the existence of solutions to Diophantine equations., Extremal combinatorics is a field of combinatorics, which is itself a part of mathematics. Extremal combinatorics studies how large or how small a collection of finite objects (numbers, graphs, vectors, sets, etc.) can be, if it has to satisfy certain restrictions., Subject: combinatorial commutative algebra, Relation: instance_of, Options: (A) 1 (B) algebra (C) algebraic number (D) area (E) area of mathematics (F) behavior (G) branch (H) change (I) collection (J) complex number (K) computer (L) construction (M) description (N) design (O) economics (P) equation (Q) field (R) framework (S) function (T) group (U) integer (V) mathematics (W) medicine (X) notion (Y) number (Z) object ([) operation (\) operator (]) part (^) problem (_) quantity (`) range (a) rank (b) ring (c) science (d) set (e) size (f) space (g) study (h) theorem (i) theoretical computer science (j) theory (k) thread (l) two (m) understanding (n) vector
answer:

area of mathematics