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It is common convention to use greek indices when writing expressions involving tensors in Minkowski space, while Latin indices are reserved for Euclidean space. Well-formulated expressions are constrained by the rules of Einstein summation: any index may appear at most twice and furthermore a raised index must contract with a lowered index ...
As a collection, Problems and Other Stories is marked by the author’s growth as a writer, but the best stories in the book are best because they are about the subject which is most crucial to Updike. In those, form and feeling are one; the problem raised and the problem solved matter because the human heart is at stake; the drama is literally ...
Problems 1, 2, 5, 6, [a] 9, 11, 12, 15, and 22 have solutions that have partial acceptance, but there exists some controversy as to whether they resolve the problems. That leaves 8 (the Riemann hypothesis), 13 and 16 [b] unresolved. Problems 4 and 23 are considered as too vague to ever be described as solved; the withdrawn 24 would also be in ...
The book contains eight short stories, six featuring Miss Marple and two other stories, and did not originally appear in the United States because most of the stories had been published earlier in the US in magazines. In 2010, an audio book and the Kindle edition were released, which included six stories from the book, plus Greenshaw's Folly.
Some solutions of a differential equation having a regular singular point with indicial roots = and .. In mathematics, the method of Frobenius, named after Ferdinand Georg Frobenius, is a way to find an infinite series solution for a linear second-order ordinary differential equation of the form ″ + ′ + = with ′ and ″.
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The free indices in a tensor expression always appear in the same (upper or lower) position throughout every term, and in a tensor equation the free indices are the same on each side. Dummy indices (which implies a summation over that index) need not be the same, for example:
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