in this study, we modify an iterative non-optimal without memory method, in such a way that is becomes optimal. therefore, we obtain convergence order eight with the some functional evaluations. to justify our proposed method, some numerical examples are given.

in this errata, we reconsider and modify two propositions and their corollaries which were written on epi-retractable and co-epi-retractable modules.

The debate on whether language influences cognition is sometimes seen as a simple dichotomy: cognitive development is governed either by innate predispositions or by influences of language and culture. In two recent papers on spatial cognition, Haun and colleagues break new ground in bringing together a comparative cognition approach with a cross-linguistic framework to arrive at a third positi...

in the present paper, we rst modify the concepts of weakly fuzzy boundedness, strongly fuzzy boundedness, fuzzy continuity, strongly fuzzy continuity and weakly fuzzy continuity. then, we try to nd some relations by making a comparative study of the fuzzy norms of linear operators.

In a multiple linear regression model, there are instances where one has to update the regression parameters. In such models as new data become available, by adding one row to the design matrix, the least-squares estimates for the parameters must be updated to reflect the impact of the new data. We will modify two existing methods of calculating regression coefficients in multiple linear regres...

In the previous class, we had looked at the RMW algorithm. In this setting, the actions/decisions are referred to as experts. Assume that we have N experts. On any given day t, we choose an expert to use from among the N experts (like choosing a function h ∈ H). The adversary/world returns a loss vector lt = (lt 1, · · · lt N ). If the expert it is chosen on day t, then the performance after T ...

Fig. 13.5 The effect of noise: fP (t) vs. t for representative lattices N 2 f31; 36; 42; 45; 66; 94; 190; 213; 536; 693g from each class, with minimal stochastic perturbations in the domains. All curves are labeled by lattice size. Lattices N 2 f536; 693g were halted at t = 30; 000 before they reached their asymptotic values; all other lattices decayed to fP = 0 and are plotted to t = Tc 1. As ...

Three fast mutual exclusion algorithms using read-modify-write and atomic read/write registers are presented in a sequence, with an improvement from one to the next. The last algorithm is shown to be optimal in minimizing the number of remote memory accesses required in a resource busy period. Remote memory access is the key factor of memory access bottleneck in large shared-memory multiprocess...

Early vigour is an important physiological trait to improve establishment, water-use efficiency, and grain yield for wheat. Phenotyping large numbers of lines is challenging due to the fast growth and development of wheat seedlings. Here we developed a new photo-based workflow to monitor dynamically the growth and development of the wheat canopy of two wheat lines with a contrasting early vigou...