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There are also subjects, such as Japanese and Chinese, with 200 UMS available for the A-level and 100 for the AS. Some A-levels (e.g. Mathematics and single sciences) retain the 600 UMS mark system. Raw marks awarded in an exam are converted to UMS marks according to the difficulty of the exam paper and the performance of candidates.
The following table lists many specialized symbols commonly used in modern mathematics, ordered by their introduction date. The table can also be ordered alphabetically by clicking on the relevant header title.
The second is that in number 9 of the multiple choice questions, the word “smooth” should be replaced with the word “differentiable”. The third is that the word “maximum” is missing from question 4 part f. A teacher called the problem in question 4, a “cheap knock-off of the 2009 maths methods exam [2 Section 2] question 3”.
In functional analysis, a uniform algebra A on a compact Hausdorff topological space X is a closed (with respect to the uniform norm) subalgebra of the C*-algebra C(X) (the continuous complex-valued functions on X) with the following properties: [1] the constant functions are contained in A
Each edition has a sheet of proofreader's marks that appears to be the same apart from the language used to describe the marks. The section cautions that "it should be realised that the typesetter may not understand the language in which the text is written". English; French; German; Italian; etc.
Abel's uniform convergence test is a criterion for the uniform convergence of a series of functions or an improper integration of functions dependent on parameters. It is related to Abel's test for the convergence of an ordinary series of real numbers, and the proof relies on the same technique of summation by parts. The test is as follows.
The leaked chapter could have created stricter laws for digital copyrights and freedom of speech. Critics of the draft called it a "Christmas wish-list for major corporations." [ 156 ] Matthew Rimmer, an intellectual property law expert, told The Sydney Morning Herald that "Hollywood, the music industry, big IT" and pharmaceutical companies ...
The question of when this happens is rather subtle: for example, for the localization of k[x, y, z]/(x 2 + y 3 + z 5) at the prime ideal (x, y, z), both the local ring and its completion are UFDs, but in the apparently similar example of the localization of k[x, y, z]/(x 2 + y 3 + z 7) at the prime ideal (x, y, z) the local ring is a UFD but ...