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).

Context: Wales is a country that is part of the United Kingdom and the island of Great Britain. It is bordered by England to the east, the Irish Sea to the north and west, and the Bristol Channel to the south. It had a population in 2011 of 3,063,456 and has a total area of . Wales has over of coastline and is largely mountainous, with its higher peaks in the north and central areas, including Snowdon, its highest summit. The country lies within the north temperate zone and has a changeable, maritime climate., The Isle of Wight is a county and the largest and second-most populous island in England. It is located in the English Channel, about 4 miles (6km) off the coast of Hampshire, separated by the Solent. The island has resorts that have been holiday destinations since Victorian times, and is known for its mild climate, coastal scenery, and verdant landscape of fields, downland and chines., The English Channel ("the Sleeve" [hence ] "Sea of Brittany" "British Sea"), also called simply the Channel, is the body of water that separates southern England from northern France, and joins the southern part of the North Sea to the rest of the Atlantic Ocean., England is a country that is part of the United Kingdom. It shares land borders with Scotland to the north and Wales to the west. The Irish Sea lies northwest of England and the Celtic Sea lies to the southwest. England is separated from continental Europe by the North Sea to the east and the English Channel to the south. The country covers five-eighths of the island of Great Britain (which lies in the North Atlantic) in its centre and south; and includes over 100 smaller islands such as the Isles of Scilly, and the Isle of Wight., John FitzAlan ( D ' Arundel ) , 1st Baron Arundel ( c. 1348 -- 16 December 1379 ) was a Lord Marshal or Marshal of England ., The Irish Sea (, , , Ulster-Scots: "Airish Sea"), separates the islands of Ireland and Great Britain. It is connected to the Celtic Sea in the south by St George's Channel, and to the Inner Seas off the West Coast of Scotland in the north by the North Channel. Anglesey is the largest island within the Irish Sea, followed by the Isle of Man. The sea is occasionally, but rarely, referred to as the Manx Sea., Great Britain, also known as Britain, is a large island in the north Atlantic Ocean off the northwest coast of continental Europe. With an area of , Great Britain is the largest European island and the ninth-largest in the world. In 2011 the island had a population of about 61million people, making it the world's third-most populous island after Java in Indonesia and Honshu in Japan. The island of Ireland is situated to the west of it, and together these islands, along with over 1,000 smaller surrounding islands, comprise the British Isles archipelago., Scotland (Scots: ) is a country that is part of the United Kingdom and covers the northern third of the island of Great Britain. It shares a border with England to the south, and is otherwise surrounded by the Atlantic Ocean, with the North Sea to the east and the North Channel and Irish Sea to the south-west. In addition to the mainland, the country is made up of more than 790 islands, including the Northern Isles and the Hebrides., The North Sea is a marginal sea of the Atlantic Ocean located between Great Britain, Scandinavia, Germany, the Netherlands, Belgium, and France. An epeiric (or "shelf") sea on the European continental shelf, it connects to the ocean through the English Channel in the south and the Norwegian Sea in the north. It is more than long and wide, with an area of around ., The Isles of Scilly (or "") are an archipelago off the south western tip of the Cornish peninsula of Great Britain. It is the southernmost location in England and the United Kingdom, as well as the most westerly in England., The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom (UK) or Britain, is a sovereign country in western Europe. Lying off the north-western coast of the European mainland, it includes the island of Great Britain (the name of which is also loosely applied to the whole country), the north-eastern part of the island of Ireland, and many smaller islands. Northern Ireland is the only part of the UK that shares a land border with another sovereign statethe Republic of Ireland. Apart from this land border, the UK is surrounded by the Atlantic Ocean, with the North Sea to its east, the English Channel to its south and the Celtic Sea to its south-south-west, giving it the 12th-longest coastline in the world. The Irish Sea lies between Great Britain and Ireland. With an area of , the UK is the 78th-largest sovereign state in the world and the 11th-largest in Europe. It is also the 21st-most populous country, with an estimated 65.1 million inhabitants. Together, this makes it the fourth most densely populated country in the European Union., The Celtic Sea (; ) is the area of the Atlantic Ocean off the south coast of Ireland bounded to the east by Saint George's Channel; other limits include the Bristol Channel, the English Channel, and the Bay of Biscay, as well as adjacent portions of Wales, Cornwall, Devon, and Brittany. The southern and western boundaries are delimited by the continental shelf, which drops away sharply. The Isles of Scilly are an archipelago of small islands in the sea., Subject: john fitzalan, Relation: place_of_death, Options: (A) anglesey (B) atlantic ocean (C) bristol (D) bristol channel (E) celtic sea (F) central (G) cornish (H) england (I) english channel (J) germany (K) ireland (L) irish sea (M) isle of man (N) isle of wight (O) isles of scilly (P) netherlands (Q) north atlantic ocean (R) north channel (S) north sea (T) northern ireland (U) scotland (V) sea (W) snowdon (X) southern england (Y) summit (Z) union ([) united kingdom (\) wales (]) westerly
atlantic ocean

Context: The Reich Main Security Office (German: "Reichssicherheitshauptamt" or RSHA) was an organization subordinate to Heinrich Himmler in his dual capacities as "Chef der Deutschen Polizei" (Chief of German Police) and "Reichsfuhrer-SS", the head of the Nazi Party's "Schutzstaffel" (SS). The organization's stated duty was to fight all "enemies of the Reich" inside and outside the borders of Nazi Germany., Sicherheitsdienst ("Security Service"), full title Sicherheitsdienst des Reichsfuhrers-SS, or SD, was the intelligence agency of the SS and the Nazi Party in Nazi Germany. The organization was the first Nazi Party intelligence organization to be established and was considered a sister organization with the Gestapo, which the SS had infiltrated heavily after 1934. Between 1933 and 1939, the SD was administered as an independent SS office, after which it was transferred to the authority of the Reich Main Security Office ("Reichssicherheitshauptamt"; RSHA), as one of its seven departments/offices. Its first director, Reinhard Heydrich, intended for the SD to bring every single individual within the Third Reich's reach under "continuous supervision.", The National Socialist German Workers' Party (abbreviated NSDAP), commonly referred to in English as the Nazi Party, was a political party in Germany that was active between 1920 and 1945 and practised the ideology of Nazism. Its precursor, the German Workers' Party ("Deutsche Arbeiterpartei"; DAP), existed from 1919 to 1920. , Nazi Germany is the common English name for the period in German history from 1933 to 1945, when Germany was governed by a dictatorship under the control of Adolf Hitler and the Nazi Party (NSDAP). Under Hitler's rule, Germany was transformed into a fascist state in which the Nazi Party took totalitarian control over nearly all aspects of life. The official name of the state was "Deutsches Reich" from 1933 to 1943 and "Grodeutsches Reich" ("Greater German Reich") from 1943 to 1945. The period is also known under the names the Third Reich and the National Socialist Period (abbreviated as "NS-Zeit"). The Nazi regime came to an end after the Allied Powers defeated Germany in May 1945, ending World War II in Europe., Reinhard Tristan Eugen Heydrich (7 March 1904 4 June 1942) was a high-ranking German Nazi official during World War II, and a main architect of the Holocaust. He was an SS-"Obergruppenfuhrer und General der Polizei" (Senior Group Leader and Chief of Police) as well as chief of the Reich Main Security Office (including the Gestapo, Kripo, and SD). He was also "Stellvertretender Reichsprotektor" (Deputy/Acting Reich-Protector) of Bohemia and Moravia, in what is now the Czech Republic. Heydrich served as president of the International Criminal Police Commission (ICPC; later known as Interpol) and chaired the January 1942 Wannsee Conference, which formalised plans for the Final Solution to the Jewish Questionthe deportation and genocide of all Jews in German-occupied Europe., The Gestapo, abbreviation of Geheime Staatspolizei, or the Secret State Police, was the official secret police of Nazi Germany and German-occupied Europe., SS-Brigadefuhrer was an SS rank that was used in Nazi Germany between the years of 1932 and 1945. "Brigadefuhrer" was also an SA rank after briefly being known as "Untergruppenfuhrer" in late 1929 and 1930., Heinz Jost ( 9 July 1904 -- 12 November 1964 ) was an SS - Brigadefuhrer and a Generalmajor ( Brigadier General ) of Police . Jost was involved in espionage matters as the Sicherheitsdienst ( Security Service ) or ( SD ) section chief of office VI ( foreign intelligence ) of the Reichssicherheitshauptamt ( Reich Main Security Office ) or RSHA . Jost was also responsible for genocide in eastern Europe as commander of Einsatzgruppe A from March to September 1942 ., Subject: heinz jost, Relation: member_of, Options: (A) europe (B) group (C) interpol (D) s (E) schutzstaffel (F) the national
schutzstaffel

Context: In mathematics, a real number is a value that represents a quantity along a line. The adjective "real" in this context was introduced in the 17th century by Rene Descartes, who distinguished between real and imaginary roots of polynomials., In planar geometry, an angle is the figure formed by two rays, called the "sides" of the angle, sharing a common endpoint, called the "vertex" of the angle.
Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane. Angles are also formed by the intersection of two planes in Euclidean and other spaces. These are called dihedral angles. Angles formed by the intersection of two curves in a plane are defined as the angle determined by the tangent rays at the point of intersection. Similar statements hold in space, for example, the spherical angle formed by two great circles on a sphere is the dihedral angle between the planes determined by the great circles., Thierry Aubin ( 6 May 1942 -- 21 March 2009 ) was a French mathematician who worked at the Centre de Mathematiques de Jussieu , and was a leading expert on Riemannian geometry and non-linear partial differential equations . His fundamental contributions to the theory of the Yamabe equation led , in conjunction with results of Trudinger and Schoen , to a proof of the Yamabe Conjecture : every compact Riemannian manifold can be conformally rescaled to produce a manifold of constant scalar curvature . Along with Yau , he also showed that Kahler manifolds with negative first Chern classes always admit Kahler -- Einstein metrics , a result closely related to the Calabi conjecture . The latter result provides the largest class of known examples of compact Einstein manifolds . Aubin was a visiting scholar at the Institute for Advanced Study in 1979 . He was elected to the Academie des sciences in 2003 ., 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., 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 mathematics, curvature is any of a number of loosely related concepts in different areas of geometry. Intuitively, curvature is the amount by which a geometric object such as a surface deviates from being a "flat" plane, or a curve from being "straight" as in the case of a line, but this is defined in different ways depending on the context. There is a key distinction between "extrinsic curvature", which is defined for objects embedded in another space (usually a Euclidean space) in a way that relates to the radius of curvature of circles that touch the object and "intrinsic curvature", which is defined in terms of the lengths of curves within a Riemannian manifold. , In Riemannian geometry, the scalar curvature (or the Ricci scalar) is the simplest curvature invariant of a Riemannian manifold. To each point on a Riemannian manifold, it assigns a single real number determined by the intrinsic geometry of the manifold near that point. Specifically, the scalar curvature represents the amount by which the volume of a small geodesic ball in a Riemannian manifold deviates from that of the standard ball in Euclidean space. In two dimensions, the scalar curvature is twice the Gaussian curvature, and completely characterizes the curvature of a surface. In more than two dimensions, however, the curvature of Riemannian manifolds involves more than one functionally independent quantity., Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in geometry. The theory of plane and space curves and surfaces in the three-dimensional Euclidean space formed the basis for development of differential geometry during the 18th century and the 19th century. , The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years. The Fields Medal is sometimes viewed as the highest honor a mathematician can receive. The Fields Medal and the Abel Prize have often been described as the mathematician's "Nobel Prize". The Fields Medal differs from the Abel in view of the age restriction mentioned above., In mathematics, specifically differential geometry, the infinitesimal geometry of Riemannian manifolds with dimension greater than 2 is too complicated to be described by a single number at a given point. Riemann introduced an abstract and rigorous way to define curvature for these manifolds, now known as the Riemann curvature tensor. Similar notions have found applications everywhere in differential geometry., Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, smooth manifolds with a "Riemannian metric", i.e. with an inner product on the tangent space at each point that varies smoothly from point to point. This gives, in particular, local notions of angle, length of curves, surface area and volume. From those, some other global quantities can be derived by integrating local contributions., In differential geometry, a complex manifold is a manifold with an atlas of charts to the open unit disk in C, such that the transition maps are holomorphic., In mathematics, the Calabi conjecture was a conjecture about the existence of certain "nice" Riemannian metrics on certain complex manifolds, made by and proved by . Yau received the Fields Medal in 1982 in part for this proof., In differential geometry, the Gaussian curvature or Gauss curvature "" of a surface at a point is the product of the principal curvatures, "" and "", at the given point:
For example, a sphere of radius "r" has Gaussian curvature "1/r" everywhere, and a flat plane and a cylinder have Gaussian curvature 0 everywhere. The Gaussian curvature can also be negative, as in the case of a hyperboloid or the inside of a torus., In mathematics, the tangent space of a manifold facilitates the generalization of vectors from affine spaces to general manifolds, since in the latter case one cannot simply subtract two points to obtain a vector that gives the displacement of the one point from the other., In differential geometry, a (smooth) Riemannian manifold or (smooth) Riemannian space ("M","g") is a real smooth manifold "M" equipped with an inner product formula_1 on the tangent space formula_2 at each point formula_3 that varies smoothly from point to point in the sense that if "X" and "Y" are vector fields on "M", then formula_4 is a smooth function. The family formula_1 of inner products is called a Riemannian metric (tensor). These terms are named after the German mathematician Bernhard Riemann. The study of Riemannian manifolds constitutes the subject called Riemannian geometry., In mathematics, in particular in algebraic topology, differential geometry and algebraic geometry, the Chern classes are characteristic classes associated with complex vector bundles., Subject: thierry aubin, Relation: field_of_work, Options: (A) algebra (B) differential geometry (C) gas (D) geometry (E) mathematician (F) mathematics
differential geometry