## Abstract The discrete Lotka power function describes the number of sources (e.g., authors) with __n__ = 1, 2, 3, β¦ items (e.g., publications). As in econometrics, informetrics theory requires functions of a continuous variable __j__, replacing the discrete variable __n__. Now __j__ represents it
On the Relations Between Discrete and Continuous Complexity Theory
β Scribed by Klaus Meer
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 389 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
β¦ Synopsis
A b s t r a c t . Relations between discrete and continuous complexity models are considered. The present paper is devoted to combine both models. In particular we analyze the 3-Satisfiability problem. The existence of fast decision procedures for this problem over the reds is examined based on certain conditions on the discrete setting. Moreover we study the behaviour of exponential time computations over the reals depending on the real complexity of 3-Satisfiability. This will be done using tools from complexity theory over the integers.
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In this paper, metric complexities of certain classes of continuous-time systems are studied, using the time-domain sampling approach and the concepts of Kolmogorov, Gel'fand and sampling n-widths for certain classes of Sobolev space. A sampling theorem is obtained which extends Shannon's sampling t