Ques:Information:  - Heisuke Hironaka (   Hironaka Heisuke , born April 9 , 1931 ) is a Japanese mathematician . He entered Kyoto University in 1949 . After completing his undergraduate studies at Kyoto University , he received his Ph.D. in 1960 from Harvard while under the direction of Oscar Zariski . He was awarded the Fields Medal in 1970 . He is celebrated for proving in 1964 that singularities of algebraic varieties admit resolutions in characteristic zero . This means that any algebraic variety can be replaced by ( more precisely is birationally equivalent to ) a similar variety which has no singularities . He also introduced Hironaka 's example showing that a deformation of Kähler manifolds need not be Kähler . Hironaka was for many years a Professor of mathematics at Harvard University ( 1968 - 1992 ) but currently lives in Japan . He held teaching positions at Brandeis University ( 1960 - 1963 ) , Columbia University ( 1964 ) and Kyoto University ( 1975 - 1988 ) . He was a president of Yamaguchi University ( 1996 - 2002 ) . He has been active in raising funds for causes such as mathematical education .  - 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.  - Algebraic varieties are the central objects of study in algebraic geometry. Classically, an algebraic variety is defined as the set of solutions of a system of polynomial equations over the real or complex numbers. Modern definitions generalize this concept in several different ways, while attempting to preserve the geometric intuition behind the original definition.  - 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.  - Geometry (from the ; "geo-" "earth", "-metron" "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer.    'heisuke hironaka' is related to which object entity through the relation of 'field of work'?  Choices: - algebra  - algebraic geometry  - arabic  - economics  - geometry  - mathematician  - mathematics  - medicine  - number theory  - science

Ans:algebraic geometry
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Ques:Information:  - Atlantic Canada is the region of Canada comprising the four provinces located on the Atlantic coast, excluding Quebec: the three Maritime provinces  New Brunswick, Prince Edward Island, and Nova Scotia  and the easternmost province of Newfoundland and Labrador. The population of the four Atlantic provinces in 2011 was about 2,300,000 on half a million km.  - George Raymond Doucet ( born March 28 , 1939 ) is a former high school principal and political figure in Nova Scotia . He represented Halifax Cobequid in the Nova Scotia House of Assembly from 1974 to 1978 as a Liberal . He was born in Quebec City , Quebec , the son of Herbert Louis Doucet and Agnes Boudreau . He was educated there , at St. Francis Xavier University and at the École Normale in Laval , Quebec . In 1961 , he married Virginia Ann McMaster . Doucet entered provincial politics in the 1974 election , winning the Halifax Cobequid riding . He served as Speaker of the House of Assembly of Nova Scotia from 1977 to 1978 . In the 1978 election , Doucet ran in the new riding of Sackville , and was defeated by Progressive Conservative Malcolm A. MacKay .  - Responsible government is a conception of a system of government that embodies the principle of parliamentary accountability, the foundation of the Westminster system of parliamentary democracy. Governments (the equivalent of the executive branch) in Westminster democracies are responsible to parliament rather than to the monarch, or, in a colonial context, to the imperial government, and in a republican context, to the president, either in full or in part. If the parliament is bicameral, then the government is responsible first to the parliament's lower house, which is more numerous, always directly elected and thus more representative than the upper house. Responsible government of parliamentary accountability manifests itself in several ways. Ministers account to Parliament for their decisions and for the performance of their departments. This requirement to make announcements and to answer questions in Parliament means that ministers have to have the privileges of the "floor" which are only granted to those who are members of either house of Parliament. Secondly, and most importantly, although ministers are officially appointed by the authority of the head of state and can theoretically be dismissed at the pleasure of the sovereign, they concurrently retain their office subject to their holding the confidence of the lower house of Parliament. When the lower house has passed a motion of no confidence in the government, the government must immediately resign or submit itself to the electorate in a new general election.  - Nova Scotia (Latin for "New Scotland"; French: "Nouvelle-Écosse") is one of Canada's three Maritime provinces, and one of the four provinces which form Atlantic Canada. Its provincial capital is Halifax. Nova Scotia is Canada's second-smallest province, with an area of , including Cape Breton and another 3,800 coastal islands. As of 2011, the population was 921,727, making Nova Scotia the second most-densely populated province in Canada with almost .  - The Nova Scotia Legislature, formally, known as the General Assembly, consists of the Crown represented by a Lieutenant Governor and the House of Assembly, is the legislative branch of the provincial government of Nova Scotia, Canada. The assembly is the oldest in Canada, having first sat in 1758, and in 1848 was the site of the first responsible government in the British Empire.  - Halifax Bedford Basin was a provincial electoral district in Nova Scotia, Canada, that elected one member of the Nova Scotia House of Assembly. It existed from 1978 to 2003.  - Halifax Cobequid was a provincial electoral district in Nova Scotia, Canada, that elected one member of the Nova Scotia House of Assembly. It existed from 1967 to 1978. In 1978, it was redistributed into four new districts, Sackville, Halifax Bedford Basin, Bedford-Musquodoboit Valley, and Cole Harbour.    'george doucet' is related to which object entity through the relation of 'position held'?  Choices: - 3  - executive branch  - governor  - lieutenant governor  - member of the nova scotia house of assembly  - nova scotia house of assembly  - prince  - sovereign

Ans:
member of the nova scotia house of assembly
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