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Symmetry groups are groups consisting of symmetries of given mathematical objectsbe they of geometric nature, such as the introductory symmetry group of the square, or of algebraic nature, such as polynomial equations and their solutions. Conceptually, group theory can be thought of as the study of symmetry.t["] Symmetries in mathematics greatly simplify the study of geometrical or analytical objects. A group is said to act on another mathematical object X if every group element performs some operation on X compatibly to the group law. In the rightmost example below, an element of order 7 of the (2,3,7) triangle group acts on the tiling by permuting the highlighted warped triangles (and the other ones, too). By a group action, the group pattern is connected to the structure of the object being acted on.
What is the name of the rule that must be met for a group operation to occur?
A: group law

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Politically, The Sun in the early Murdoch years, remained nominally Labour. It supported the Labour Party led by Harold Wilson in the 1970 General Election, with the headline "Why It Must Be Labour" but by February 1974 it was calling for a vote for the Conservative Party led by Edward Heath while suggesting that it might support a Labour Party led by James Callaghan or Roy Jenkins. In the October election an editorial asserted: "ALL our instincts are left rather than right and we would vote for any able politician who would describe himself as a Social Democrat."
Who led the Labour Party in the 1970 General Election?
A: Harold Wilson

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In 1996, Marvel had some of its titles participate in "Heroes Reborn", a crossover that allowed Marvel to relaunch some of its flagship characters such as the Avengers and the Fantastic Four, and outsource them to the studios of two of the former Marvel artists turned Image Comics founders, Jim Lee and Rob Liefeld. The relaunched titles, which saw the characters transported to a parallel universe with a history distinct from the mainstream Marvel Universe, were a solid success amidst a generally struggling industry, but Marvel discontinued the experiment after a one-year run and returned the characters to the Marvel Universe proper. In 1998, the company launched the imprint Marvel Knights, taking place within Marvel continuity; helmed by soon-to-become editor-in-chief Joe Quesada, it featured tough, gritty stories showcasing such characters as the Inhumans, Black Panther and Daredevil.
How was the setting for the Image versions of Marvel characters different from the official comics?
A: a parallel universe with a history distinct from the mainstream

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In Belgium, the sanction royale has the same legal effect as royal assent; the Belgian constitution requires a theoretically possible refusal of royal sanction to be countersignedas any other act of the monarchby a minister responsible before the House of Representatives. The monarch promulgates the law, meaning that he or she formally orders that the law be officially published and executed. In 1990, when King Baudouin advised his cabinet he could not, in conscience, sign a bill decriminalising abortion (a refusal patently not covered by a responsible minister), the Council of Ministers, at the King's own request, declared Baudouin incapable of exercising his powers. In accordance with the Belgian constitution, upon the declaration of the sovereign's incapacity, the Council of Ministers assumed the powers of the head of state until parliament could rule on the King's incapacity and appoint a regent. The bill was then assented to by all members of the Council of Ministers "on behalf of the Belgian People". In a joint meeting, both houses of parliament declared the King capable of exercising his powers again the next day.
Both houses declared King Baudouin incapable of exercising his powers in what type of meeting?
A:
unanswerable