TASK DEFINITION: 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).
PROBLEM: Context: 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., In mathematics, a conjecture is a conclusion or proposition based on incomplete information, for which no proof has been found. Conjectures such as the Riemann hypothesis (still a conjecture) or Fermat's Last Theorem (which was a conjecture until proven in 1995) have shaped much of mathematical history as new areas of mathematics are developed in order to prove them., The Riemann zeta function or EulerRiemann zeta function, , is a function of a complex variable "s" that analytically continues the sum of the Dirichlet series , In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part . It was proposed by , after whom it is named. The name is also used for some closely related analogues, such as the Riemann hypothesis for curves over finite fields., 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., A complex number is a number that can be expressed in the form , where and are real numbers and is the imaginary unit, satisfying the equation . In this expression, is the ' and is the ' of the complex number. If formula_1, then formula_2, In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements. As with any field, a finite field is a set on which the operations of multiplication, addition, subtraction and division are defined and satisfy certain basic rules. The most common examples of finite fields are given by the integers mod when is a prime number., In mathematics, an L-function is a meromorphic function on the complex plane, associated to one out of several categories of mathematical objects. An L-series is a Dirichlet series, usually convergent on a half-plane, that may give rise to an L-function via analytic continuation., In mathematics , the grand Riemann hypothesis is a generalisation of the Riemann hypothesis and Generalized Riemann hypothesis . It states that the nontrivial zeros of all automorphic L - functions lie on the critical line 1/2 + it with t a real number variable and i the imaginary unit . The modified grand Riemann hypothesis is the assertion that the nontrivial zeros of all automorphic L - functions lie on the critical line or the real line ., 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., 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., The Riemann hypothesis is one of the most important conjectures in mathematics. It is a statement about the zeros of the Riemann zeta function. Various geometrical and arithmetical objects can be described by so-called global L-functions, which are formally similar to the Riemann zeta-function. One can then ask the same question about the zeros of these "L"-functions, yielding various generalizations of the Riemann hypothesis. Many mathematicians believe these generalizations of the Riemann hypothesis to be true. The only cases of these conjectures which have been proven occur in the function field case (not the number field case)., Subject: grand riemann hypothesis, Relation: instance_of, Options: (A) class (B) complex (C) complex number (D) conjecture (E) definition (F) division (G) equation (H) field (I) function (J) hypothesis (K) magnitude (L) mathematics (M) may (N) number (O) order (P) phrase (Q) plane (R) position (S) prime number (T) quantity (U) relation (V) relationship (W) series (X) space (Y) statement (Z) structure ([) study (\) sum (]) term (^) theorem (_) three (`) time (a) unit of measurement (b) variable

SOLUTION: conjecture

PROBLEM: Context: A lava field, also called a lava plain or lava bed, is a large expanse of nearly flat-lying lava flows. Such features are generally composed of highly fluid basalt lava, and can extend for tens or even hundreds of miles across the underlying terrain. The extent of large lava fields is most readily grasped from the air or in satellite photos, where their typically dark, nearly black color contrasts sharply with the rest of the landscape.
According to the US Geological Survey, monogenetic volcanic fields are collections of cinder cones, and/or Maar vents and associated lava flows and pyroclastic deposits. Sometimes a stratovolcano
is at the center of the field, as at the San Francisco Volcanic Field in Arizona. Monogenetic volcano fields have systematic growth patterns that suggest they represent single magmatic systems in the same way that stratovolcanoes do, but monogenetic volcanoes grow laterally rather than vertically (Wood and Shoan, 1984). Detailed mapping indicates that some cinder cones in monogenetic fields (e.g., Cima, California, and Timber Mountain Volcanic Field, Nevada) may have had multiple eruptions separated by tens to hundreds of thousands of years (Wells, et al., 1989). Thus, some monogenetic cones may actually be polygenetic. This possibility differs from observations of historic eruptions (Wood, 1979), and is physically difficult to understand because cinder cone conduits are narrow and must solidify within a few years of eruption. Nonetheless, such multiple eruptions appear to have happened at least twice: Other cinder cones need to be closely reexamined., Kiev or Kyiv is the capital and largest city of Ukraine, located in the north central part of the country on the Dnieper River. The population in July 2015 was (though higher estimated numbers have been cited in the press), making Kiev the 7th most populous city in Europe., "Wild Dances" is a single by Ukrainian singer-songwriter Ruslana. The song won the Eurovision Song Contest 2004 held in Turkey with an amount of 280 points. A Ukrainian version called "Dyki tantsi" was released in Russia and Ukraine., The Eurovision Song Contest 2005 was the 50th annual Eurovision Song Contest. The contest took place at the Palace of Sports in Kiev, Ukraine, following Ruslana's win in the 2004 Contest with the song "Wild Dances". The contest consisted of two shows: the semi-final and final, which took place on 19 and 21 May 2005, respectively. The shows were hosted by Maria Efrosinina and Pavlo Shylko. Thirty-nine countries participated, including the débuts of Bulgaria and Moldova and the return of Hungary, which was last represented in 1998., The Republic of Iceland, "Lýðveldið Ísland" in Icelandic, is a Nordic island country in the North Atlantic Ocean. It has a population of and an area of , making it the most sparsely populated country in Europe. The capital and largest city is Reykjavík. Reykjavík and the surrounding areas in the southwest of the country are home to over two-thirds of the population. Iceland is volcanically and geologically active. The interior consists of a plateau characterised by sand and lava fields, mountains and glaciers, while many glacial rivers flow to the sea through the lowlands. Iceland is warmed by the Gulf Stream and has a temperate climate, despite a high latitude just outside the Arctic Circle. Its high latitude and marine influence still keeps summers chilly, with most of the archipelago having a tundra climate., The Eurovision Song Contest, sometimes popularly called Eurovision but not to be confused with the Eurovision network that broadcasts it, is the longest-running annual international TV song competition, held, primarily, among the member countries of the European Broadcasting Union (EBU) since 1956. The competition was based upon the existing Sanremo Music Festival held in Italy since 1951., Maria "Masha" Efrosinina, (born 25 May 1979 in Kerch), is a Ukrainian television host., Ukraine (tr. ) is a sovereign state in Eastern Europe, bordered by Russia to the east and northeast, Belarus to the northwest, Poland and Slovakia to the west, Hungary, Romania, and Moldova to the southwest, and the Black Sea and Sea of Azov to the south and southeast, respectively. Ukraine is currently in territorial dispute with Russia over the Crimean Peninsula which Russia annexed in 2014 but which Ukraine and most of the international community recognise as Ukrainian. Including Crimea, Ukraine has an area of , making it the largest country entirely within Europe and the 46th largest country in the world. It has a population of about 44.5 million, making it the 32nd most populous country in the world., `` If I Had Your Love '' was the Icelandic entry in the Eurovision Song Contest 2005 , performed in English by Selma . The song is an up - tempo dance number , with Selma singing about what she would do `` If I had your love '' . She claims that it would inspire her above all other things . The song was criticised after the Contest for being somewhat musically confusing , as it featured a number of tempo and key changes in unusual places ., Subject: if i had your love, Relation: instance_of, Options: (A) 25 (B) area (C) broadcasting (D) capital (E) city (F) community (G) country (H) eurovision song contest (I) festival (J) italy (K) july (L) may (M) member (N) nine (O) palace (P) part (Q) population (R) river (S) sea (T) single (U) song (V) state

SOLUTION: single

PROBLEM: Context: Oxford is a city in the South East region of England and the county town of Oxfordshire. With a population of 159,994 it is the 52nd largest city in the United Kingdom, and one of the fastest growing and most ethnically diverse. The city is situated from London, from Bristol, from both Southampton and Birmingham and from Reading., A History of US is a ten-volume (and one sourcebook) historical book series for children, written by Joy Hakim and first published in its entirety in 1995. The series is published by the US branch of Oxford University Press and is currently in its third edition. Originally conceived as a trade children's series, the books quickly found fans among classroom teachers; in response to the prompting of educators Oxford University Press developed ancillary teaching materials to accompany the series. Branded as 'alternatives to traditional textbooks' the series is regularly used in both public and private schools, usually in middle school classes. The books are all written in a personal tone, as if the author were a storyteller. The texts have been released to ample praise by teachers, home-schoolers, students, and many others. The series has won the James A. Michener Award in Writing and the Parent's Choice Gold Award., The National Science Teachers Association (NSTA), founded in 1944 and headquartered in Arlington, Virginia, is an association of science teachers in the United States and is the largest organization of science teachers worldwide. NSTA's current membership of more than 57,000 includes science teachers, science supervisors, administrators, scientists, business and industry representatives, and others involved in and committed to science education. The organization's mission is "to promote excellence and innovation in science teaching and learning for all.", Cambridge University Press (CUP) is the publishing business of the University of Cambridge. Granted letters patent by Henry VIII in 1534, it is the world's oldest publishing house and the second-largest university press in the world (after Oxford University Press). It also holds letters patent as the Queen's Printer., Science education is the field concerned with sharing science content and process with individuals not traditionally considered part of the scientific community. The learners may be children, college students, or adults within the general public; the field of science education includes work in science content, science process (the scientific method), some social science, and some teaching pedagogy. The standards for science education provide expectations for the development of understanding for students through the entire course of their K-12 education and beyond. The traditional subjects included in the standards are physical, life, earth, space, and human sciences., Joy Hakim is an American author who has written a ten - volume history of the United States , A History of US , and Freedom : A History of US ( a trade book to accompany a 16 - part PBS series ) , all published by Oxford University Press . Hakim is also the author of The Story of Science , three volumes co-published by Smithsonian Books and the National Science Teachers Association ., The University of Oxford (informally Oxford University or simply Oxford) is a collegiate research university located in Oxford, England, United Kingdom. While having no known date of foundation, there is evidence of teaching as far back as 1096, making it the oldest university in the English-speaking world and the world's second-oldest university in continuous operation. It grew rapidly from 1167 when Henry II banned English students from attending the University of Paris. After disputes between students and Oxford townsfolk in 1209, some academics fled northeast to Cambridge where they established what became the University of Cambridge. The two "ancient universities" are frequently jointly referred to as "Oxbridge"., Joy Hakim (born January 16, 1931) is an American author who has written a ten-volume history of the United States, "A History of US", and "Freedom: A History of US" (a trade book to accompany a 16-part PBS series), all published by Oxford University Press. Hakim is also the author of "The Story of Science," three volumes co-published by Smithsonian Books and the National Science Teachers Association., Oxford University Press (OUP) is the largest university press in the world, and the second oldest after Cambridge University Press. It is a department of the University of Oxford and is governed by a group of 15 academics appointed by the vice-chancellor known as the delegates of the press. They are headed by the secretary to the delegates, who serves as OUP's chief executive and as its major representative on other university bodies. Oxford University has used a similar system to oversee OUP since the 17th century., Subject: joy hakim, Relation: date_of_birth, Options: (A) 1096 (B) 12 (C) 1209 (D) 15 (E) 1534 (F) 159 (G) 1931 (H) 1944 (I) 1995 (J) 994

SOLUTION:
1931