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Titlebook: Computer Aided Proofs in Analysis; Kenneth R. Meyer,Dieter S. Schmidt Book 1991 Springer-Verlag New York Inc. 1991 Mathematica.algebra.alg

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https://doi.org/10.1007/978-1-4939-6940-1d its associated compiler understanding the usual operations on such spaces is generated. Furthermore, based on the mathematical context, the relevant subroutines needed to implement the function calls are produced.
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Yuki Ohmuro-Matsuyama,Hiroshi Uedae computer programs that do symbolic manipulations for this purpose. There are now many such programs available, but since I happen to be the principal author of one of these, namely REDUCE [1], the examples I use will be biased towards this system. However, the ideas can be expressed equally well in other algebraic manipulation systems.
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https://doi.org/10.1007/978-3-540-73994-4After a review of Tsirelson space ., a reflexive Banach space containing no isomorphic copies of any .. space, the authors develop an efficient algorithm for computing the norm of . Properties of the algorithm, timings, and space considerations are discussed.
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https://doi.org/10.1007/978-3-540-73994-4We give an overview, from an analytical point of view, of decision procedures for determining whether an elementary function has an elementary antiderivative. We give examples of algebraic functions which are integrable and non-integrable in closed form, and mention the current implementation status of various computer algebra systems.
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Chufan Xiao,Xiufang Liu,Mingtao HuangWe review some recent progress in the study of Schrodinger equations for arbitrarily many fermions interacting via Coulomb forces. The goal is to prove lower bounds for the infimum of the spectrum which are reasonably close to optimal. Some of the key estimates are established with the help of a computer.
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Yuki Ohmuro-Matsuyama,Hiroshi UedaA brief survey of theory and software implementations of interval and related techniques for computing with machine representable sets is presented with applications to computer aided proofs in analysis. Recent work on variable precision software is discussed.
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