Page 263 - Strategies and Applications in Quantum Chemistry From Molecular Astrophysics to Molecular Engineer

246 R. CARBÓ AND E. BESALÚ
6. Conclusions
A mathematical device, the NSS, which can be related to Artificial
Intelligence techniques, has been defined and applied in order to solve or reformulate
some quantum chemical problems. This symbol is related to computer formulae
generation. It has been shown that by means of the use of NSS’s many applications of
such symbols can be found in mathematics as well as in Mathematical Chemistry in
particular.

Apart of being able to simplify typographical structures, the NSS symbols
constitute the basic elements 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 can be kept
sequential or parallelized in a simple manner.
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
devices.
The obtained mathematical patterns seems to be also fairly well adapted to
Artificial Intelligence formula writing programming philosophy.
An assorted set of purely mathematical and Quantum Chemical application
examples prove the generalization power and flexibility of this presently described
symbolic framework.
When NSS’s together with LKD’s are adopted as working tools, both
structures appear to trigger some sort of thinking machine, in such a way that once a
given problem is solved, new study areas immediately appear to be a promising future
application field in the focus of the imagination eye.

One can conclude that a robust and powerful theoretical machinery has been
described, possessing general, far reaching imaginative possibilities.

Perhaps there are hidden in the symbolic limbo other possible similar tools,
even better than these described here. We are confident in that this paper will stimulate
the research interest in this direction.

7. Acknowledgments
This work is a contribution of the "Grup de Química Quàntica de l’Institut
d’Estudis Catalans" and it has been financed by the "Comissió Interdepartamental per a
la Recerca i Innovació Tecnològica" of the "Generalitat de Catalunya" through a grant:
#QFN91-4206. E. Besalú benefits of a grant of the "Departament d’Ensenyament de la
Generalitat de Catalunya".