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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).
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Context: Mark Daniel Ronson (born 4 September 1975) is an English musician, DJ, singer, songwriter and record producer. Although his debut album "Here Comes the Fuzz" failed to make an impact on the charts, his second album "Version" reached number two in the UK and included three top 10 singles. This earned him a Brit Award for Best British Male Solo Artist in 2008. His third studio album, "Record Collection", was released on 27 September 2010, peaking at number two in the UK., Michael Philip Batt LVO (born 6 February 1949) is an English singer-songwriter, musician, record producer, director, conductor and former Deputy Chairman of the British Phonographic Industry. He is best known for creating The Wombles pop act, writing the chart-topping "Bright Eyes", and discovering Katie Melua. He has also conducted Orchestras, including the London Symphony, Royal Philharmonic, London Philharmonic, Sydney Symphony and Stuttgart Philharmonic in both classical and pop recordings and performances., Fulham is part of the London Borough of Hammersmith and Fulham, in southwest London. It is an Inner London district located south-west of Charing Cross. It lies on the north bank of the River Thames, between Hammersmith and Kensington and Chelsea, facing Putney and Barnes and is bounded on the east by the West London Line, previously the course of a canal and creek. It was formerly a parish in the County of Middlesex. The area is identified in the London Plan as one of 35 major centres in Greater London. Until 1965 the former Metropolitan Borough of Fulham incorporated the areas of Sands End, Hurlingham, North End (Lillie), Baron's Court (Margravine), West Kensington, Fulham Broadway (Walham), 'Munstervillage' (Town) and along Fulham Palace Road. Fulham Palace, now a museum, served between 1900 and 1976 as the official residence of the Bishops of London., EMI (officially EMI Group Limited, originally an initialism for Electric and Musical Industries and often known as EMI Records and EMI Music) was a British multinational conglomerate founded in March 1931 and was based in London. At the time of its break-up in 2012, it was the fourth-largest business group and family of record labels in the recording industry and was one of the big four record companies (now the big three). Its EMI Records Ltd. group of record labels included EMI Records, Parlophone, Virgin Records and Capitol Records. EMI also had a major publishing arm, EMI Music Publishingalso based in London with offices globally., Dramatico is a record label founded by Mike Batt in 2000. Artists on the label include Mike Batt, Robert Meadmore, Sarah Blasko, Katie Melua, Leddra Chapman and Alistair Griffin. Dramatico have also established a publishing company based in New York City, and are also established in Germany. Artists signed to Dramatico Publishing include Reyna Larson, FL Jones and The Paper Scissors., The Last Shadow Puppets are an English supergroup consisting of Alex Turner (Arctic Monkeys, solo artist), Miles Kane (The Rascals, solo artist), James Ford (Simian, Simian Mobile Disco, producer), and Zach Dawes (Mini Mansions, session musician). The band released their debut album "The Age of the Understatement" in 2008. Following a lengthy hiatus, they returned with their album "Everything You've Come to Expect" in 2016., Take That are an English pop group formed in Manchester in 1990. The group currently consists of Gary Barlow, Howard Donald, and Mark Owen. The original line-up also featured Jason Orange and Robbie Williams. Barlow acts as the group's lead singer and primary songwriter, with Owen and Williams initially providing backing vocals and Donald and Orange serving primarily as dancers., Mattafix were an English electronic duo, consisting of vocalist Marlon Roudette and producer & keyboardist Preetesh Hirji. Their sound was a fusion of hip hop, R&B, reggae, dancehall, blues, jazz, soul and world. Best known for their 2005 hit single "Big City Life", they won the Sopot International Song Festival in 2006., The Australian Recording Industry Association (ARIA) is a trade group representing the Australian recording industry which was established in 1983 by six major record companies, EMI, Festival, CBS, RCA, WEA and Universal replacing the Association of Australian Record Manufacturers (AARM) which was formed in 1956. It oversees the collection, administration and distribution of music licenses and royalties., Guy Antony Chambers (born 12 January 1963 in Hammersmith, London) is an English songwriter, musician and record producer, best known for his work with Robbie Williams, although he has written songs with other artists including Caro Emerald, Rufus Wainwright, Katy B, Marlon Roudette, Miles Kane, Mark Ronson, John Newman, Kylie Minogue, Example, The Wanted, James Blunt, Katie Melua, Tina Turner and many others., Rufus McGarrigle Wainwright (born July 22, 1973) is an American-Canadian singer-songwriter and composer. He has recorded seven albums of original music and numerous tracks on compilations and film soundtracks. He has also written a classical opera and set Shakespeare sonnets to music for a theater piece by Robert Wilson., Guy Antony Chambers ( born January 12 , 1963 in Hammersmith , London ) is an English songwriter , musician and record producer , best known for his work with Robbie Williams , although he written songs with other artists including Rufus Wainwright , Katy B , Marlon Roudette , Miles Kane , Mark Ronson , John Newman , Kylie Minogue , Example , The Wanted , James Blunt , Katie Melua , Tina Turner and many others . He has been a part of 52 Gold / Platinum certified albums ( UK and US ) including 15 ( UK ) number 1 albums , and 22 ( UK ) Top 10 singles including 18 ( UK ) number 1 singles ., Jason Donovan (born 1 June 1968) is an Australian actor and singer. He initially achieved fame in the Australian soap "Neighbours", before beginning a career in music in 1988. In the UK he has sold over 3million records, and his debut album "Ten Good Reasons" was one of the highest-selling albums of 1989, with UK sales of over 1.5million copies. He has had four UK No. 1 singles, one of which was "Especially for You", his 1988 duet with fellow "Neighbours" co-star Kylie Minogue. He has also appeared in several stage musicals, most prominently in the lead role of "Joseph and the Amazing Technicolor Dreamcoat" in the early 1990s., Ketevan "Katie" Melua (born 16 September 1984) is a Georgian-British singer, songwriter and musician. She moved to Northern Ireland at the age of eight and then to England at fourteen. Melua is signed to the small Dramatico record label, under the management of composer Mike Batt, and made her musical debut in 2003. In 2006, she was the United Kingdom's best-selling female artist and Europe's highest selling European female artist., Robert Peter "Robbie" Williams (born 13 February 1974) is an English singer, songwriter and actor. He was a member of the pop group Take That from 1990 to 1995 and again from 2009 to 2012. He has also had commercial success as a solo artist., Kylie Ann Minogue, OBE (born 28 May 1968), often known simply as Kylie, is an Australian singer, songwriter, dancer and actress. She achieved recognition starring in the Australian soap opera "Neighbours", where she played tomboy mechanic Charlene Robinson. Appearing in the series for two years, Minogue's character married Scott Robinson (Jason Donovan) in an episode viewed by nearly 20 million people in the United Kingdom making it one of the most watched Australian TV episodes ever. Since then, Minogue has been a recording artist and has achieved commercial success and critical acclaim in the entertainment industry. Minogue has been recognised with several honorific nicknames including "Princess of Pop" and "Goddess of Pop". She is recognised as the highest-selling Australian artist of all time by the Australian Recording Industry Association (ARIA)., Northern Ireland (; Ulster Scots: "") is a top-level constituent unit of the United Kingdom in the northeast of Ireland. It is variously described as a country, province, region, or "part" of the United Kingdom, amongst other terms. Northern Ireland shares a border to the south and west with the Republic of Ireland. In 2011, its population was 1,810,863, constituting about 30% of the island's total population and about 3% of the UK's population. Established by the Northern Ireland Act 1998 as part of the Good Friday Agreement, the Northern Ireland Assembly holds responsibility for a range of devolved policy matters, while other areas are reserved for the British government. Northern Ireland co-operates with the Republic of Ireland in some areas, and the Agreement granted the Republic the ability to "put forward views and proposals" with "determined efforts to resolve disagreements between the two governments"., Miles Peter Kane (born 17 March 1986) is an English musician, best known as a solo artist and the co-frontman of the Last Shadow Puppets. He was also the former frontman of the Rascals, before the band announced their break-up in August 2009., Neighbours is an Australian television soap opera. It was first broadcast on the Seven Network on 18 March 1985. It was created by TV executive Reg Watson, who proposed the idea of making a show that focused on realistic stories and portrayed adults and teenagers who talk openly and solve their problems together. Seven decided to commission the show following the success of Watson's "Sons and Daughters", which aired on the network. Although successful in Melbourne, "Neighbours" underperformed in the Sydney market and struggled for months before Seven cancelled it. The show was immediately bought by rival network Ten. After taking over production of the show, the new network had to build replica sets because Seven destroyed the originals to prevent its rival from obtaining them. Ten began screening "Neighbours" on 20 January 1986, taking off where the previous series left off and commencing with episode 171. "Neighbours" has since become the longest running drama series in Australian television and in 2005, it was inducted collectively into the Logie Hall of Fame. On 11 January 2011, "Neighbours" moved to Ten's digital channel, Eleven., James Hillier Blount (born 22 February 1974), better known by his stage name James Blunt, is an English singer-songwriter and former reconnaissance officer for the British Army. He originally signed to EMI Music Publishing and is currently signed to Custard Records and Atlantic Records., Tina Turner (born Anna Mae Bullock; November 26, 1939), is an American born recording artist, dancer, actress, and author, whose career has spanned more than half a century, earning her widespread recognition and numerous awards. Born and raised in the Southeastern United States, Turner obtained Swiss citizenship in 2013 and relinquished her American citizenship., The British Army is the principal land warfare force of the United Kingdom. The force was initially administered by the War Office from London, which in 1964 was subsumed into the Ministry of Defence. The professional head of the British Army is the Chief of the General Staff., Hammersmith is a district in west London, located in the London Borough of Hammersmith and Fulham., Custard Records is an American record label, best known for its success with English singer-songwriter and Number 1 recording artist James Blunt. The label is run by former 4 Non Blondes member Linda Perry and has a partnership with Warner Music Group's Atlantic Records division., Marlon McVey-Roudette (born 5 January 1983) is a British/Vincentian musician. He is a former member of the band Mattafix. He is famous for his song "New Age", which was produced and co-written by hit-maker Guy Chambers, and which was an international hit, reaching number one in Austria, Switzerland and Germany., Charlene Edna "Lenny" Robinson (also Mitchell) is a fictional character from the Australian soap opera "Neighbours" played by Kylie Minogue. Charlene was introduced to the show along with several new characters, as part of a revamp by Network Ten to increase ratings. Minogue auditioned for the role in 1985, shortly after finishing her high school exams. She attended the audition dressed as the character and casting director Jan Russ cast her in the role. Minogue was initially contracted for a week, but this was later extended through to mid-1988. She made her first screen appearance during the episode broadcast on 17 April 1986., Here Comes the Fuzz is the debut studio album by British producer Mark Ronson. The album was released on 8 September 2003, led by the lead single, "Ooh Wee". Unlike Ronson's later releases, his debut album focuses more on the genre of hip-hop, with guest appearances from a number of famous rappers and hip-hop alumni, including Ghostface Killah, M.O.P., Nate Dogg, Saigon and Sean Paul. The album also features appearances from singers Rivers Cuomo and Daniel Merriweather, whose commercial breakthrough came with this album., Atlantic Recording Corporation (simply known as Atlantic Records) is an American record label founded in October 1947 by Ahmet Ertegun and Herb Abramson. Over its first 20 years of operation, Atlantic Records earned a reputation as one of the most important American recording labels, specializing in jazz, R&B and soul recordings by African-American musicians including Aretha Franklin, Ray Charles, Wilson Pickett, Sam and Dave, Ruth Brown and Otis Redding, a position greatly enhanced by its distribution deal with Stax Records. In 1967, Atlantic Records became a wholly owned subsidiary of Warner Bros.-Seven Arts, now the Warner Music Group, and expanded into rock and pop music with releases by bands such as Led Zeppelin and Yes., Subject: guy chambers, Relation: date_of_birth, Options: (A) 1 (B) 1 june 1968 (C) 11 (D) 12 (E) 12 january 1963 (F) 17 march 1986 (G) 18 (H) 18 march 1985 (I) 1931 (J) 1939 (K) 1947 (L) 1964 (M) 1965 (N) 1967 (O) 1973 (P) 1974 (Q) 1975 (R) 1976 (S) 1983 (T) 1985 (U) 1988 (V) 1990 (W) 1995 (X) 1998 (Y) 20 january 1986 (Z) 2000 ([) 2003 (\) 2005 (]) 2006 (^) 2008 (_) 22 (') 28 (a) 28 may 1968 (b) 35 (c) 4 (d) 4 september 1975 (e) 5 (f) 5 january 1983 (g) 6 (h) 6 february 1949 (i) 8 (j) 8 september 2003 (k) 810 (l) january 1963 (m) march 1931 (n) may 1968 (o) september 1975 (p) september 1984
answer:
12 january 1963

question:
Context: A film director is a person who directs the making of a film. Generally, a film director controls a film's artistic and dramatic aspects, and visualizes the script while guiding the technical crew and actors in the fulfillment of that vision. The director has a key role in choosing the cast members, production design, and the creative aspects of filmmaking. Under European Union law, the director is viewed as the author of the film., The German Shepherd is a breed of medium to large-sized working dog that originated in Germany. The breed's officially recognized name is German Shepherd Dog in the English language, sometimes abbreviated as "GSD" and was also formerly known as the Alsatian in Britain. The German Shepherd is a relatively new breed of dog, with their origin dating to 1899. As part of the Herding Group, German Shepherds are working dogs developed originally for herding sheep. Since that time, however, because of their strength, intelligence, trainability, and obedience, German Shepherds around the world are often the preferred breed for many types of work, including disability assistance, search-and-rescue, police and military roles, and even acting. The German Shepherd is the second-most registered breed by the American Kennel Club and fourth-most registered breed by The Kennel Club in the United Kingdom., Computer animation is the process used for generating animated images. The more general term computer-generated imagery (CGI) encompasses both static scenes and dynamic images, while computer animation "only" refers to the moving images. Modern computer animation usually uses 3D computer graphics, although 2D computer graphics are still used for stylistic, low bandwidth, and faster real-time renderings. Sometimes, the target of the animation is the computer itself, but sometimes film as well., An audience is a group of people who participate in a show or encounter a work of art, literature (in which they are called "readers"), theatre, music (in which they are called "listeners"), video games (in which they are called "players"), or academics in any medium. Audience members participate in different ways in different kinds of art; some events invite overt audience participation and others allowing only modest clapping and criticism and reception., Filmmaking (or in an academic context, film production) is the process of making a film. Filmmaking involves a number of discrete stages including an initial story, idea, or commission, through screenwriting, casting, shooting, sound recording and reproduction, editing, and screening the finished product before an audience that may result in a film release and exhibition. Filmmaking takes place in many places around the world in a range of economic, social, and political contexts, and using a variety of technologies and cinematic techniques. Typically, it involves a large number of people, and can take from a few months to several years to complete., The Roy Rogers Show is an American Western television series that broadcast 100 episodes on NBC for six seasons between December 30, 1951 and June 9, 1957. The show starred Roy Rogers as a ranch owner, Dale Evans as the proprietress of the Eureka Cafe in fictional Mineral City, and Pat Brady as Roys sidekick and Dale's cook. Brady's jeep Nellybelle had a mind of her own and often sped away driverless with Brady in frantic pursuit on foot. The Jeep was first called LuLubelle in the 1952 series. Animal stars were Roy's Palomino horse, Trigger, and his German Shepherd wonder dog, Bullet., In filmmaking, visual effects (abbreviated VFX) are the processes by which imagery is created and/or manipulated outside the context of a live action shot. , Days of Jesse James is a 1939 American film directed by Joseph Kane and starring Roy Rogers ., Andrew Vabre "Andy" Devine (October 7, 1905 February 18, 1977) was an American character actor and comic cowboy sidekick known for his distinctive whiny voice., Jasper Joseph Inman Kane (March 19, 1894, San Diego August 25, 1975, Santa Monica, California) was an American film director, film producer, film editor and screenwriter. He is best known for his extensive directorship and focus on Western films., Santa Monica is a beachfront city in western Los Angeles County, California, United States. Situated on Santa Monica Bay, it is bordered on three sides by the city of Los Angeles Pacific Palisades to the north, Brentwood on the northeast, Sawtelle on the east, Mar Vista on the southeast, and Venice on the south. The Census Bureau population for Santa Monica in 2010 was 89,736., Animation is the process of making the illusion of motion and the illusion of change by means of the rapid display of a sequence of images that minimally differ from each other. The illusionas in motion pictures in generalis thought to rely on the phi phenomenon. Animators are artists who specialize in the creation of animation. Animation can be recorded with either analogue media, a flip book, motion picture film, video tape, digital media, including formats with animated GIF, Flash animation, and digital video. To display animation, a digital camera, computer, or projector are used along with new technologies that are produced., A film, also called a movie, motion picture, theatrical film or photoplay, is a series of still images which, when shown on a screen, creates the illusion of moving images due to the phi phenomenon. This optical illusion causes the audience to perceive continuous motion between separate objects viewed rapidly in succession. The process of filmmaking is both an art and an industry. A film is created by photographing actual scenes with a motion picture camera; by photographing drawings or miniature models using traditional animation techniques; by means of CGI and computer animation; or by a combination of some or all of these techniques and other visual effects., Roy Rogers (born Leonard Franklin Slye, November 5, 1911 July 6, 1998) was an American singer and actor who was one of the most popular Western stars of his era. Known as the "King of the Cowboys", he appeared in over 100 films and numerous radio and television episodes of "The Roy Rogers Show". In many of his films and television episodes, he appeared with his wife, Dale Evans; his golden palomino, Trigger; and his German shepherd dog, Bullet. His show was broadcast on radio for nine years and then on television from 1951 through 1957. His productions usually featured a sidekick, often Pat Brady, Andy Devine, or George "Gabby" Hayes. In his later years, Rogers lent his name to the franchise chain of Roy Rogers Restaurants., Film producers fill a variety of roles depending upon the type of producer. Either employed by a production company or independent, producers plan and coordinate various aspects of film production, such as selecting script, coordinating writing, directing and editing, and arranging financing. During the "discovery stage", the producer has to find and acknowledge promising material. Then, unless the film is supposed to be based on an original script, the producer has to find an appropriate screenwriter., Art is a diverse range of human activities in creating visual, auditory or performing artifacts (artworks), expressing the author's imaginative or technical skill, intended to be appreciated for their beauty or emotional power. In their most general form these activities include the production of works of art, the criticism of art, the study of the history of art, and the aesthetic dissemination of art., Roy Rogers Franchise Company, LLC is a Mid-Atlantic and Northeastern United States chain of fast food restaurants founded by the Marriott Corporation in 1968 in Falls Church, Virginia. As of August 2015, Roy Rogers had 51 stores: 20 corporate and 31 franchised. In 2002, the Plamondon Companies purchased the trademark from Imasco, the former parent of Hardee's. Under the new owners the company is headquartered in Frederick, Maryland., A screenplay writer, screenwriter for short, scriptwriter or scenarist is a writer who practices the craft of screenwriting, writing screenplays on which mass media such as films, television programs, comics or video games are based., King of the Cowboys is a 1943 film directed by Joseph Kane and starring Roy Rogers and Smiley Burnette. It is set in Texas during World War II., The phi phenomenon is the optical illusion of perceiving a series of still images, when viewed in rapid succession, as continuous motion. Max Wertheimer, one of the three founders of Gestalt psychology, defined this phenomenon in 1912. The phi phenomenon and persistence of vision together formed the foundation of Hugo Munsterberg's theory of film and are part of the process of motion perception., A sidekick is a slang expression for a close companion or colleague (not necessarily in fiction) who is actually, or generally regarded as, subordinate to the one he accompanies. Some well-known fictional sidekicks are Don Quixote's Sancho Panza, Sherlock Holmes' Doctor Watson, The Lone Ranger's Tonto, The Green Hornet's Kato, Shrek's Donkey, Sonic's Tails and Batman's Robin., Subject: days of jesse james, Relation: genre, Options: (A) action (B) animation (C) art (D) book (E) comic (F) computer animation (G) criticism (H) design (I) dramatic (J) fiction (K) food (L) history (M) intelligence (N) law (O) march (P) military (Q) miniature (R) music (S) optical illusion (T) psychology (U) screenplay (V) shooting (W) skill (X) study (Y) television (Z) variety ([) video (\) war (]) western
answer:
western

question:
Context: 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., In measure theory, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure to subsets of "n"-dimensional Euclidean space. For "n" = 1, 2, or 3, it coincides with the standard measure of length, area, or volume. In general, it is also called n"-dimensional volume, n"-volume, or simply volume. It is used throughout real analysis, in particular to define Lebesgue integration. Sets that can be assigned a Lebesgue measure are called Lebesgue measurable; the measure of the Lebesgue measurable set "A" is denoted by ("A")., In mathematics, more specifically in functional analysis, a Banach space (pronounced ) is a complete normed vector space. Thus, a Banach space is a vector space with a metric that allows the computation of vector length and distance between vectors and is complete in the sense that a Cauchy sequence of vectors always converges to a well defined limit that is within the space., 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., In geometric measurements, length is the most extended dimension of an object. In the International System of Quantities, length is any quantity with dimension distance. In other contexts "length" is the measured dimension of an object. For example, it is possible to cut a length of a wire which is shorter than wire thickness., In mathematics, especially in set theory, a set "A" is a subset of a set "B", or equivalently "B" is a superset of "A", if "A" is "contained" inside "B", that is, all elements of "A" are also elements of "B". "A" and "B" may coincide. The relationship of one set being a subset of another is called inclusion or sometimes containment., In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces. It is named after the Ancient Greek mathematician Euclid of Alexandria. The term "Euclidean" distinguishes these spaces from other types of spaces considered in modern geometry. Euclidean spaces also generalize to higher dimensions., Salomon Bochner (20 August 1899 2 May 1982) was an American mathematician of Austrian-Hungarian origin, known for work in mathematical analysis, probability theory and differential geometry., Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains.
Volume is often quantified numerically using the SI derived unit, the cubic metre. The volume of a container is generally understood to be the capacity of the container, i. e. the amount of fluid (gas or liquid) that the container could hold, rather than the amount of space the container itself displaces., In the mathematical field of real analysis, a simple function is a real-valued function over a subset of the real line, similar to a step function. Simple functions are sufficiently 'nice' that using them makes mathematical reasoning, theory, and proof easier. For example simple functions attain only a finite number of values. Some authors also require simple functions to be measurable; as used in practice, they invariably are., In mathematics, the Bochner integral, named for Salomon Bochner, extends the definition of Lebesgue integral to functions that take values in a Banach space, as the limit of integrals of simple functions., Henri Leon Lebesgue (June 28, 1875 July 26, 1941) was a French mathematician most famous for his theory of integration, which was a generalization of the 17th century concept of integrationsumming the area between an axis and the curve of a function defined for that axis. His theory was published originally in his dissertation "Integrale, longueur, aire" ("Integral, length, area") at the University of Nancy during 1902., 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., Real analysis (traditionally, the theory of functions of a real variable) is a branch of mathematical analysis dealing with the real numbers and real-valued functions of a real variable. In particular, it deals with the analytic properties of real functions and sequences, including convergence and limits of sequences of real numbers, the calculus of the real numbers, and continuity, smoothness and related properties of real-valued functions., 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., Area is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane. Surface area is its analog on the two-dimensional surface of a three-dimensional object. Area can be understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the amount of paint necessary to cover the surface with a single coat. It is the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept)., In mathematics , the Pettis integral or Gelfand -- Pettis integral , named after I. M. Gelfand and B. J. Pettis , extends the definition of the Lebesgue integral to vector - valued functions on a measure space , by exploiting duality . The integral was introduced by Gelfand for the case when the measure space is an interval with Lebesgue measure . The integral is also called the weak integral in contrast to the Bochner integral , which is the strong integral ., Subject: pettis integral, Relation: part_of, Options: (A) august (B) class (C) continuum (D) curve (E) euclidean geometry (F) french (G) functional analysis (H) gas (I) geometry (J) july (K) june (L) learning (M) liquid (N) mathematical analysis (O) mathematics (P) may (Q) nature (R) part (S) phrase (T) reasoning (U) set theory (V) solid (W) system (X) theory (Y) university (Z) word
answer:
functional analysis