<p style='text-indent:20px;'>A set <inline-formula><tex-math id="M1">\begin{document}$ E \subset \mathbb{N} $\end{document}</tex-math></inline-formula> is an interpolation for nilsequences if every bounded function on id="M2">\begin{document}$ can be extended to a nilsequence id="M3">\begin{document}$ $\end{document}</tex-math></inline-formula>. F...

enzymes catalyze many biological reactions. the rates of chemical reaction in the presence ofenzymes are, in some cases, accelerated more than 10 orders of magnitude relative to thecorresponding rates in solution.in this paper a comparison between optimized structures of two enzyme molecules in aspect ofenergy and dipole moment in different conditions including presence of metallic ion, without...

December1999 Symposium Paper May 2000 final, revised version for IEEE Transactions on Plasma Science: July 13, 2001 This work was supported through the CRADA BG98-084(01) of the ER-LTR Program of the U.S. Department of Energy, under Contract No. DE-AC03-76SF00098, by CVC-Veeco, Inc., the CRADA Industrial Partner, by the National Storage Industry Consortium (NSIC), and the Computer Mechanics Lab...

This is the 5rst one of three articles that are intended to be published consecutively in this journal. Together they constitute a three-part work on the uni5ed subject of fuzzy T -neighbourhood spaces and their fuzzy T -proximities, where T stands for any continuous triangular norm. These new notions generalize, to arbitrary T , corresponding ones due to Artico, H8 ohle, Lowen and Moresco. In ...

Consensus is defined as a cooperative process in which a group of decision makers develops and agrees to support a decision in the best interest of the whole. It is a questioning process, more than an affirming process, in which the group members usually modify their choices until a high level of agreement within the group is achieved. Given the importance of forming an accepted decision by the...

Proof. Myhill has proved that any productive set is productive under a 1-1 total function. A corresponding result is easily established for any contraproductive set having at least one total contraproductive function. Letting h(x, y) be the recursive function of [2, Theorem 2.4, p. 69], consider the sequence s0 = h(0, 0), Sx — h(l, s0), s2 = h(0, Sx), Si = h(i, s2), Si = h(2, S3), and so on. Th...

In this paper, following the ideas of (continuous) t-norm and interval numbers, a concept of (continuous) interval-valued t-norm is proposed. Based on the interval-valued fuzzy set and the continuous interval-valued t-norm, we propose a notion of interval-valued fuzzy metric space, which is a generalization of fuzzy metric space in the sense of George and Veeramani [Fuzzy Sets and Systems 64 (1...