Egelstaff–Widom correlation length, 198 ensemble dependence of PDT, 43 entropy convergence of hydrophobicities, 187 entropy from the trajectory, 103 equilibrium ratios ideal, 24 non-ideal, 146 Ewald lattice sums, 112 Ewald potential, 108 examples bacterial Cl− channel structure, 15 Be2+(aq), 149 ion channels, 13 K+(aq), 157 Nafion®, 9 reversed phase liquid chromatography (RPLC), 5 triflic acid,...

In this paper, we introduce and study the concepts of I2-convergence, I∗ 2 -convergence for double sequences of fuzzy real numbers, where I2 denotes the ideal of subsets of N× N. Also, we study some properties and relations of them.

In this paper, we introduce the concepts of weighted ideal statistical convergence or SN (I)-convergence and I − (N, pn)-summability. We also establish the relations between our new methods. Further, we determine a Korovkin type approximation theorem through I − (N, pn)-summability. −−−−−−−−−−−−−−−−−−−−−−−−−−−−

The purpose of this article is to research the concept Fibonacci lacunary ideal convergence double sequences in intuitionistic fuzzy normed linear spaces (IFNS). Additionally, a new concept, called convergence, examined. Also, I?-limit points and I?-cluster for IFNS have been defined significant results given. Cauchy I?-Cauchy are worked.

In Model Reference Adaptive Control (MRAC) the modeling uncertainty is often assumed to be parameterized with time-invariant unknown ideal parameters. The convergence of parameters of the adaptive element to these ideal parameters is beneficial, as it guarantees exponential stability, and makes an online learned model of the system available. Most MRAC methods however, require Persistent Excita...