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The ABRSM (Associated Board of the Royal Schools of Music) is an examination board and registered charity [2] based in the United Kingdom. ABRSM is one of five examination boards accredited by Ofqual to award graded exams and diploma qualifications in music within the UK's National Qualifications Framework (along with the London College of Music, RSL Awards (Rockschool Ltd), Trinity College ...
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Geometric group theory grew out of combinatorial group theory that largely studied properties of discrete groups via analyzing group presentations, which describe groups as quotients of free groups; this field was first systematically studied by Walther von Dyck, student of Felix Klein, in the early 1880s, [2] while an early form is found in the 1856 icosian calculus of William Rowan Hamilton ...
For example, 5 is a lower bound for the set S = {5, 8, 42, 34, 13934} (as a subset of the integers or of the real numbers, etc.), and so is 4. On the other hand, 6 is not a lower bound for S since it is not smaller than every element in S. 13934 and other numbers x such that x ≥ 13934 would be an upper bound for S.
Understanding by Design, or UbD, is an educational theory for curriculum design of a school subject, where planners look at the desired outcomes at the end of the study in order to design curriculum units, performance assessments, and classroom instruction. [1]
Studies in boundary-work have also focused on how individual scientific disciplines are created. [5] Following the work of Pierre Bourdieu on the "scientific field", many have looked at ways in which certain "objects" are able to bridge the erected boundaries because they satisfy the needs of multiple social groups (boundary objects).
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