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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 ...
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).
Boundary value problems are similar to initial value problems.A boundary value problem has conditions specified at the extremes ("boundaries") of the independent variable in the equation whereas an initial value problem has all of the conditions specified at the same value of the independent variable (and that value is at the lower boundary of the domain, thus the term "initial" value).
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.
The 1998 book Proofs from THE BOOK, inspired by Erdős, is a collection of particularly succinct and revelatory mathematical arguments. Some examples of particularly elegant results included are Euclid's proof that there are infinitely many prime numbers and the fast Fourier transform for harmonic analysis .
This concept has since been widely cited and the concept of a boundary object has been adopted in computer science (particularly computer supported cooperative work), information science, [4] and management, particularly when considering cross-disciplinary work and collaboration, [5] either within one organization or with the boundary object helping to focus the efforts of multiple organizations.
A grade 8 is also equivalent to an A*, however the grade 9 is the top end of the A*. The former C grade is set at grade 4 (known as a 'standard pass') and grade 5 (considered a 'strong pass') under the numerical scheme. Although fewer qualifications have tiered examinations than before, the tiering system still exists.
Decision boundaries are not always clear cut. That is, the transition from one class in the feature space to another is not discontinuous, but gradual. This effect is common in fuzzy logic based classification algorithms, where membership in one class or another is ambiguous. Decision boundaries can be approximations of optimal stopping boundaries.