Mathematics – General Mathematics
Scientific paper
2001-01-03
Idempotency, J. Gunawardena (ed.), Cambridge University Press, Cambridge, 1998, 420-443
Mathematics
General Mathematics
24 pages, no figures
Scientific paper
This paper is devoted to heuristic aspects of the so-called idempotent calculus. There is a correspondence between important, useful and interesting constructions and results over the field of real (or complex) numbers and similar constructions and results over idempotent semirings in the spirit of N. Bohr's correspondence principle in Quantum Mechanics. Some problems nonlinear in the traditional sense (for example, the Bellman equation and its generalizations) turn out to be linear over a suitable semiring; this linearity considerably simplifies the explicit construction of solutions. The theory is well advanced and includes, in particular, new integration theory, new linear algebra, spectral theory and functional analysis. It has a wide range of applications. Besides a survey of the subject, in this paper the correspondence principle is used to develop an approach to object-oriented software and hardware design for algorithms of idempotent calculus.
Litvinov Grigori
Maslov Victor
No associations
LandOfFree
Correspondence principle for idempotent calculus and some computer applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Correspondence principle for idempotent calculus and some computer applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Correspondence principle for idempotent calculus and some computer applications will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-590036