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外文期刊>Journal of mathematical chemistry
>Definition and quantum chemical applications of nested summation symbols and logical functions: Pedagogical artificial intelligence devices for formulae writing, sequential programming and automatic parallel implementation
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Definition and quantum chemical applications of nested summation symbols and logical functions: Pedagogical artificial intelligence devices for formulae writing, sequential programming and automatic parallel implementation
Two useful symbolic conventions: Nested summation symbols and logical functions have been defined, discussed and some examples given. Apart from being able to simplify typographical structures, they constitute the cornerstone of a completely general framework, allowing to write mathematical formulae, in such a manner that immediate translation to any high level programming language is feasible, producing a complete general code, which in turn can be kept sequential or simply parallelized. Pedagogical and in many cases mnemotechnical formula structures appear to be also deduced at a very generic level as a consequence of the use of this kind of device. The obtained mathematical patterns seem to be also fairly well adapted to artificial intelligence formula writing programming philosophy. An assorted set of quantum chemical and purely mathematical application examples prove the generalization power and flexibility of this presently described symbolic framework.
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