In this task, you are given a set of context paragraphs, some supporting facts and an answer of a question. Your task is to generate question for given answer based on set of context paragraphs, supporting facts and an answer.
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Question: Context_1 : Rail Users Ireland (previously Platform 11) is a rail transport pressure group in Ireland whose agenda is centred on the idea that there is an economic case for expanding rail transport in Ireland through better utilisation of existing infrastructure with only justified expansion of existing routes. Through press releases, lobbying and leafleting they have promoted the DART Underground, a proposal to build a tunnel south of the Liffey to link up Dublin's Heuston Station with the existing DART and Luas lines. The group is a member of the European Passengers Federation a European level representative body for rail users which shares the same outlook in terms of sustainable transport provision and improving standards on public transport. Context_2 : The history of rail transport in El Salvador began in 1882, with the opening of El Salvador's first line. All rail transport was suspended in 2002. However, limited services were resumed in 2007, between San Salvador, Ciudad Delgado and Apopa. Context_3 : Rail transport can be found in every theme park resort property owned or licensed by Walt Disney Parks and Resorts, the theme park and vacation resort segment of the larger Walt Disney Company. The origins of Disney theme park rail transport can be traced back to Walt Disney himself and his personal fondness for railroads, who insisted that they be included in the first Disney park, the original Disneyland (a key component of the Disneyland Resort) in California in the United States, which opened on July 17, 1955. The Disney tradition of including transport by rail in its parks has since been extended to other Disney properties with the opening of Walt Disney World in Florida in the United States, Tokyo Disney Resort in Japan, Disneyland Paris in France, Hong Kong Disneyland Resort in China, and Shanghai Disney Resort in China. Context_4 : Rail transport in Malaysia comprises heavy rail (including commuter rail), light rapid transit (LRT), monorail, airport rail link and a funicular railway line. Heavy rail is mostly used for intercity passenger and freight transport as well as some urban public transport, while LRTs are used for intra-city urban public transport and some special uses, such as transporting passengers between airport buildings. There are two commuter rail services linking Kuala Lumpur with the Kuala Lumpur International Airport. The sole monorail line in the country is also used for public transport in Kuala Lumpur, while the only funicular railway line is in Penang. Context_5 : A valve shim is a disc of hardened metal of precisely calibrated height, used to adjust the clearance (US: lash) between the back side of the cam-lobe and the valve on which it operates, where the cam-lobe operates directly on the valve without an intermediate rocker arm. The shim sits atop a shim bucket which itself sits atop the valve-stem, and moves up and down within a machined bore. While hydraulically self-adjusting valves are sometimes preferred, because they require no adjustment, they do not work well in engines capable of high RPMs. In those, shims are most often used. As an example, most motorcycle engines capable of 8000RPM+ use shim-adjustable valves. Context_6 : Hohensalzburg Castle (German: "Festung Hohensalzburg" , literally "High Salzburg Fortress") sits atop the Festungsberg, a small hill in the Austrian city of Salzburg. Erected at the behest of the Prince-Archbishops of Salzburg with a length of 250 m and a width of 150 m , it is one of the largest medieval castles in Europe. Hohensalzburg Castle is situated at an altitude of 506 m. Context_7 : Transport in Greater Nagoya (Chūkyō) is similar to that of the Tokyo and Osaka, but is more automobile oriented, as the urban density is less than Japan's two primary metropolises, and major automobile manufacturers like Toyota are based here. Still, compared to most cities of its size worldwide it has a considerable rail transport network with 3 million passenger trips daily, with a similar density and extent of passenger rail to London or New York City, (as of May 2014, the article Nagoya rail list lists 59 lines, 16 operators, 1,547.8 km of operational track and 654 stations [although stations recounted for each operator], note this data does not include any high speed rail) complemented with highways and surface streets for private motor transport. It includes public and private rail and highway networks; airports for international, domestic, and general aviation; buses; motorcycle delivery services, walking, bicycling, and commercial shipping. The nexus of the public transport system is Nagoya Station. Every region of Greater Nagoya, also known as the Chūkyō Metropolitan Area (中京圏 ) , has rail or road transport services, and the area as a whole is served by sea and air links. Context_8 : Rail transport in Central America consists of several isolated railroad lines with freight or passenger service. The most famous one is the Panama Canal Railway, the oldest transcontinental railroad in the world, connecting Panama City with Colón since 1855. Other railroads in Belize, Guatemala, Honduras, El Salvador, Nicaragua, Costa Rica and Panama were built by private and public investors mainly to facilitate the transport of local agricultural produce (bananas, coconuts, coffee) to export markets and harbors. Their market share and profitability went into decline in the second half of the twentieth century and most lines have been decommissioned by the end of the 1990s. As of 2010, railroads operate locally in El Salvador, Honduras, Costa Rica and Panama only; all rail transport has been suspended in Belize, Guatemala and Nicaragua. None of the operating railways crosses national borders. Context_9 : Rail transport in Puerto Rico currently consists of a 10.7 mi passenger metro system in the island's metropolitan area of San Juan. Its history can be traced back to the mid-19th century with the construction of a limited passenger line in Mayagüez. Between the late 19th and early 20th centuries, Puerto Rico's rail transport system expanded significantly, becoming one of the largest rail systems in the Caribbean at the time thanks to an economic boom in agriculture industries, especially the sugar cane industry. The rail system was expanded to include passenger travel with a direct line from the island's northern capital of San Juan to the western and southern cities and towns, greatly improving travel and communication within the island. However, the entire system was soon overshadowed by the arrival of the automobile, and by the 1950s was completely abandoned. Small remnants of this system still exist in some parts of Puerto Rico, some conserved for tourism purposes. Context_10 : The history of rail transport in Austria began with the Reisszug, a private funicular serving the Fortress of Salzburg. Built at the end of the 15th century and first documented in 1515, it is the oldest known funicular in the world, and possibly the oldest existing railway line. fact_1 : The history of rail transport in Austria began with the Reisszug, a private funicular serving the Fortress of Salzburg. fact_2 :  Hohensalzburg Castle is situated at an altitude of 506 m. Answer: 506 m.

Answer: What is the altitude of the castle that sits atop of a hill in the city where the history of rail transport in Austria began?


Question: Context_1 : A commencement speech or commencement address is a speech given to graduating students, generally at a university, generally in the United States, although the term is also used for secondary education institutions. The "commencement" is a ceremony in which degrees or diplomas are conferred upon graduating students. A commencement speech is typically given by a notable figure in the community, during the "commencement exercise". The person giving such a speech is known as a commencement speaker. Very commonly, colleges or universities will invite politicians, important citizens, or other noted speakers to come and address the graduating class. Context_2 : The Jeremiah Wright controversy gained national attention in the United States, in March 2008 when ABC News, after reviewing dozens of U.S. Presidential candidate Barack Obama's pastor Jeremiah Wright's sermons, excerpted parts which were subject to intense media scrutiny. Wright is a retired senior pastor of Trinity United Church of Christ in Chicago and former pastor of President Obama. Obama denounced the statements in question, but critics continued to press the issue of his relationship with Wright. In response to this, he gave a speech titled "A More Perfect Union", in which he sought to place Wright's comments in a historical and sociological context. In the speech, Obama again denounced Wright's remarks, but did not disown him as a person. The controversy began to fade, but was renewed in late April when Wright made a series of media appearances, including an interview on "Bill Moyers Journal", a speech at the NAACP, and a speech at the National Press Club. After the last of these, Obama spoke more forcefully against his former pastor, saying that he was "outraged" and "saddened" by his behavior, and in May he resigned his membership in the church. Context_3 : Wallace John Challens, {'1': ", '2': ", '3': ", '4': "} (14 May 1915 – 1 March 2002) was a British scientist and civil servant. A graduate of University College, Nottingham, he began working at the Royal Arsenal in Woolwich in 1936. In 1939, he was transferred to the rocket department. After the defeat of Germany, he was sent to the United States as part of the British Scientific Mission to work on the V-1 flying bomb and the V-2 rocket. On returning to the United Kingdom in 1947, he was recruited by William Penney for the British atomic bomb project. He led the team that developed the firing circuits for the bomb used in Operation "Hurricane", the first British nuclear test. He later developed a neutron generator. He took part in most of the British nuclear tests at Maralinga, and was the scientific director of the Operation "Grapple" tests in 1957. He subsequently became the AWRE's Assistant Director in 1965, Deputy Director in 1972, and Director from 1976 until his retirement in 1978. Context_4 : Operation Grapple was the codeword used to cover UK defence operations in support of the UN peacekeeping missions in the former Yugoslavia (authorised by UNSCR 776 of September 1992); including the deployment of British forces in Bosnia and Croatia from October 1992 until December 1995 as part of the United Nations Protection Force (UNPROFOR). UNPROFOR would eventually hand over the peacekeeping mission in Bosnia to NATO's Implementation Force (IFOR) in winter 1995. The British participation in the IFOR was called Operation Resolute; the whole NATO mission was called Operation Joint Endeavour. The IFOR mission would last approximately a year, before it transitioned to the follow-on Stabilisation Force in Bosnia and Herzegovina (SFOR). Context_5 : United States v. New Wrinkle, Inc., 342 U.S. 371 (1952), is a 1952 Supreme Court decision in which the Court held that a claim of conspiracy to fix uniform minimum prices and to eliminate competition throughout substantially all of the wrinkle finish industry of the United States by means of patent license agreements was, if proved, a violation of § 1 of the Sherman Act. That one of the defendants, a patent-holding company, abstained from manufacturing activities, did not ship goods in commerce, and engaged solely in patent licensing did not insulate its activity from § 1. Making these license contracts for the purpose of regulating distribution and fixing prices of commodities in interstate commerce is subject to the Sherman Act, even though the isolated act of contracting for the licenses occurs within a single state. Patents give no protection from the prohibitions of the Sherman Act when the patent licensing agreements are used to restrain interstate commerce and fix prices of goods shipped in commerce. Context_6 : Midway Stock Farm Barn is a historic building located north of Keosauqua, Iowa, United States. The barn was built by William A. Barker around 1880. It gained historical significance when his son Webb installed equipment made by the Louden Machinery Company of Fairfield, Iowa. By doing so he converted the facility from one that raised livestock to a dairy operation. Around 1918 Barker built an addition onto the south side of the barn and installed a litter carrier with tracks and switches on the ground floor, a hay carrier with a steel track and grapple hook hay fork also on the main floor, and a metal aerator on the roof. It is one of few local operations that still has the Louden equipment. The barn was listed on the National Register of Historic Places in 1999. Context_7 : "Imminent lawless action" is a standard currently used that was established by the United States Supreme Court in "Brandenburg v. Ohio" (1969), for defining the limits of freedom of speech. "Brandenburg" clarified what constituted a "clear and present danger", the standard established by "Schenck v. United States" (1919), and overruled "Whitney v. California" (1927), which had held that speech that merely advocated violence could be made illegal. Under the imminent lawless action test, speech is not protected by the First Amendment if the speaker intends to incite a violation of the law that is both imminent and likely. While the precise meaning of "imminent" may be ambiguous in some cases, the court provided later clarification in "Hess v. Indiana" (1973). In this case, the court found that Hess's words did not fall outside the limits of protected speech, in part, because his speech "amounted to nothing more than advocacy of illegal action at some indefinite future time," and therefore did not meet the imminence requirement. Context_8 : Operation Grapple was the name of four series of British nuclear weapons tests of early atomic bombs and hydrogen bombs carried out in 1957 and 1958 at Malden Island and Christmas Island in the Pacific Ocean as part of the British hydrogen bomb programme. Nine nuclear explosions were initiated, culminating in the United Kingdom becoming the third recognised possessor of thermonuclear weapons, and the restoration of the nuclear Special Relationship with the United States with the 1958 US-UK Mutual Defence Agreement. Context_9 : USS "Grapple" (ARS-53) is a "Safeguard"-class salvage ship in the United States Navy. Her home port is Norfolk, Virginia. On 13 July 2006 "Grapple" was decommissioned from US Navy service and converted to civilian operation by Military Sealift Command. She was redesignated as USNS "Grapple" (T-ARS 53). Context_10 : The Special Relationship is an unofficial term for the political, diplomatic, cultural, economic, military, and historical relations between the United Kingdom and the United States, which has been used to different degrees in different times in history. It was used in a 1946 speech by Winston Churchill. Although both the UK and US have close relationships with many other nations, the level of cooperation between them in economic activity, trade and commerce, military planning, execution of military operations, nuclear weapons technology, and intelligence sharing has been described as "unparalleled" among major powers. The existence of a "special relationship" has sometimes been described as a myth. US president Barack Obama considered Germany to be his "closest international partner" and said the UK would be at the "back of the queue" in any trade deal with the US if it left the European Union. fact_1 :  Nine nuclear explosions were initiated, culminating in the United Kingdom becoming the third recognised possessor of thermonuclear weapons, and the restoration of the nuclear Special Relationship with the United States with the 1958 US-UK Mutual Defence Agreement. fact_2 :  It was used in a 1946 speech by Winston Churchill. Answer: Winston Churchill

Answer: Operation Grapple helped fix something with the United States, which was used by which notable person in a speech?


Question: Context_1 : The Indiana University Mathematics Journal (ISSN 0022-2518  ) is a journal of mathematics published by Indiana University. Its first volume was published in 1952, under the name Journal of Rational Mechanics and Analysis and edited by Václav Hlavatý and Clifford Truesdell. In 1957, Eberhard Hopf became editor, the journal name changed to the Journal of Mathematics and Mechanics, and Truesdell founded a separate successor journal, the "Archive for Rational Mechanics and Analysis", now published by Springer-Verlag. The "Journal of Mathematics and Mechanics" later changed its name again to the present name. s of 2013 , the managing editor is Chris Judge. Context_2 : Alexandru Froda (July 16, 1894, Bucharest, Romania – October 7, 1973, Bucharest, Romania) was a well-known Romanian mathematician with important contributions in the field of mathematical analysis, algebra, number theory and rational mechanics. In his 1929 thesis he proved what is now known as Froda's theorem. Context_3 : Some programming languages provide a built-in (primitive) rational data type to represent rational numbers like 1/3 and -11/17 without rounding, and to do arithmetic on them. Examples are the codice_1 type of Common Lisp, and analogous types provided by most languages for algebraic computation, such as Mathematica and Maple. Many languages that do not have a built-in rational type still provide it as a library-defined type. Context_4 : In mathematics, the rational points on the unit circle are those points ("x", "y") such that both "x" and "y" are rational numbers ("fractions") and satisfy "x" + "y" = 1. The set of such points turns out to be closely related to primitive Pythagorean triples. Consider a primitive right triangle, that is, with integral side lengths "a", "b", "c", with "c" the hypotenuse, such that the sides have no common factor larger than 1. Then on the unit circle there exists the rational point ("a"/"c", "b"/"c"), which, in the complex plane, is just "a"/"c" + "ib"/"c", where "i" is the imaginary unit. Conversely, if ("x", "y") is a rational point on the unit circle in the 1st quadrant of the coordinate system (i.e. "x" > 0, "y" > 0), then there exists a primitive right triangle with sides "xc", "yc", "c", with "c" being the least common multiple of "x" and "y" denominators. There is a correspondence between points ("x","y") in the "x"-"y" plane and points "x" + "iy" in the complex plane which will be used below, with ("a", "b") taken as equal to "a" + "ib". Context_5 : The .LBR file format was an archive file format used on CP/M and DOS operating systems during the early 1980s. .LBR files were created by the LU program; later programs like NULU arrived for .LBR creation, and many tools such as LT and QL were capable of extracting from .LBR archives. .LBR is an abbreviation of "Library", and, resembling the .tar file format, member files were only stored in the .LBR file, not compressed. As transfer of LBR files by modem was common, it was typical practice for archiving a collection of files to compress them using the SQ or CRUNCH programs then store them in an .LBR archive, or else (more rarely) store the files in the LBR archive, then use SQ or CRUNCH to compress the archive. A compressed LBR archive file was given the extension ".LQR" (if squeezed) or ".LZR" (if crunched); however, it was more common to compress the members of the archive than to compress the archive as a whole. Context_6 : Damage mechanics is concerned with the representation, or modeling, of damage of materials that is suitable for making engineering predictions about the initiation, propagation, and fracture of materials without resorting to a microscopic description that would be too complex for practical engineering analysis. Damage mechanics illustrates the typical engineering approach to model complex phenomena. To quote Dusan Krajcinovic, "It is often argued that the ultimate task of engineering research is to provide not so much a better insight into the examined phenomenon but to supply a rational predictive tool applicable in design". Damage mechanics is a topic of applied mechanics that relies heavily on continuum mechanics. Most of the work on damage mechanics uses state variables to represent the "effects" of damage on the stiffness and remaining life of the material that is damaging as a result of thermomechanical load and ageing. The state variables may be measurable, e.g., crack density, or inferred from the "effect" they have on some macroscopic property, such as stiffness, coefficient of thermal expansion, remaining life, etc. The state variables have conjugate thermodynamic forces that motivate further damage. Initially the material is pristine, or "intact". A damage activation criterion is needed to predict damage initiation. Damage evolution does not progresses spontaneously after initiation, thus requiring a damage evolution model. In plasticity like formulations, the damage evolution is controlled by a hardening function but this requires additional phenomenological parameters that must be found through experimentation, which is expensive, time consuming, and virtually no one does. On the other hand, micromechanics of damage formulations are able to predict both damage initiation and evolution without additional material properties. Context_7 : An integer triangle or integral triangle is a triangle all of whose sides have lengths that are integers. A rational triangle can be defined as one having all sides with rational length; any such rational triangle can be integrally rescaled (can have all sides multiplied by the same integer, namely a common multiple of their denominators) to obtain an integer triangle, so there is no substantive difference between integer triangles and rational triangles in this sense. Note however, that other definitions of the term "rational triangle" also exist: In 1914 Carmichael used the term in the sense that we today use the term Heronian triangle; Somos uses it to refer to triangles whose ratios of sides are rational; Conway and Guy define a rational triangle as one with rational sides and rational angles measured in degrees—in which case the only rational triangle is the rational-sided equilateral triangle. Context_8 : Morton E. Gurtin is a mechanical engineer who became a mathematician and "de facto" mathematical physicist. He is an emeritus professor of mathematical sciences at Carnegie-Mellon University, where for many years he held an endowed chair as the Alumni Professor of Mathematical Science. His main work is in materials science, in the form of the mathematical, rational mechanics of non-linear continuum mechanics and thermodynamics, in the style of Clifford Truesdell and Walter Noll, a field also known under the combined name of "continuum thermomechanics". He has published over 250 papers, many among them in Archive for Rational Mechanics and Analysis, as well as a number of books. Context_9 : The Archive for Rational Mechanics and Analysis is a scientific journal that is devoted to research in mechanics as a deductive, mathematical science. The current editors in chief of the journal are John M. Ball and Richard D. James. It was founded in 1956 by Clifford Truesdell when he moved from Indiana University to Johns Hopkins and lost control of a similar journal he had founded a few years previously, the "Journal of Rational Mechanics and Analysis" (now the "Indiana University Mathematics Journal"). Context_10 : Lumped damage mechanics or LDM is a branch of structural mechanics that is concerned with the analysis of frame structures. It is based on continuum damage mechanics and fracture mechanics. It combines the ideas of these theories with the concept of plastic hinge LDM can be defined as the fracture mechanics of complex structural systems. In the models of LDM, cracking or local buckling as well as plasticity are lumped at the inelastic hinges. As in continuum damage mechanics, LDM uses state variables to represent the effects of damage on the remaining stiffness and strength of the frame structure. In reinforced concrete structures, the damage state variable quantifies the crack density in the plastic hinge zone; in unreinforced concrete components and steel beams, it is a dimensionless measure of the crack surface; in tubular steel elements, the damage variable measures the degree of local buckling The LDM evolution laws can be derived from continuum damage mechanics or fracture mechanics. In the latter case, concepts such as the energy release rate or the stress intensity factor of a plastic hinge are introduced. LDM allows for the numerical simulation of the collapse of complex structures with a fraction of the computational cost and human effort of its continuum mechanics counterparts. LDM is also a regularization procedure that eliminates the mesh-dependence phenomenon that is observed in structural analysis with local damage models fact_1 :  He is an emeritus professor of mathematical sciences at Carnegie-Mellon University, where for many years he held an endowed chair as the Alumni Professor of Mathematical Science. fact_2 : The Archive for Rational Mechanics and Analysis is a scientific journal that is devoted to research in mechanics as a deductive, mathematical science. Answer: mathematical science

Answer:
What type of studyn does Morton Gurtin and Archive for Rational Mechanics and Analysis have in common?