We summarize several limit results for the profile of random plane-oriented recursive trees. These include the limit distribution of the normalized profile, asymptotic bimodality of the variance, asymptotic approximations of the expected width and the correlation coefficients of two level sizes. We also unveil an unexpected connection between the profile of plane-oriented recursive trees (with ...

Let (n, M)R denote any binary code with length n, cardinality M and covering radius R. The classification of (2R+3, 7)R codes is settled for any R = 1, 2, . . . , and a characterization of these (optimal) codes is obtained. It is shown that, for R = 1, 2, . . . , the numbers of inequivalent (2R+3, 7)R codes form the sequence 1, 3, 8, 17, 33, . . . identified as A002625 in the Encyclopedia of In...

The reader will find in [2] a survey of the different proofs of (1.2), properties of the coefficients dl,m in [6] and an introduction to the many issues involved in the evaluation of definite integrals in [7]. The study of combinatorial aspects of the sequence dl,m was initiated in [3] where the authors show that dl,m forms a unimodal sequence, that is, there exists an index l∗ such that d0,m ≤...

ion Recovery from Binary Code, Tech. Report No. 448, Dept. of Computer Science, Univ. of Queensland, Brisbane, Australia, 1999. 4. D. Ung and C. Cifuentes, “SRL—A Simple Retargetable Loader,” Proc. Australian Software Eng. Conf., IEEE CS Press, Los Alamitos, Calif., 1997, pp. 60-69.

We use the results of our paper p-Fractals and power series I—Some 2 variable results (Journal of Algebra 280, 2004, pp. 505–536) to prove the rationality of the Hilbert-Kunz series of a large family of power series, including those of the form ∑ i fi(xi, yi), where the fi(xi, yi) are power series with coefficients in a finite field. The methods are effective, as we illustrate with examples. In...

Multivalent ions can induce condensation of like-charged polyelectrolytes into compact states, a process that requires different ion valences for different polyelectrolyte species. In this work we examine the condensation behavior in binary anionic polyelectrolyte mixtures consisting of DNA coils and F-actin rods in the presence of monovalent, divalent, and trivalent ions. As expected, monovale...

The formation equilibria for the binary complexes of Effortil with Cu, Co, Ni, and Zn metal ions were investigated using potentiometric technique in aqueous medium (t= 37 Co, I= 0.15 mil. dm NaNO3). The formation of binary complexes was inferred from the pH-metric titration curve. The overall stability constants of the complexes formed were obtained using HYPERQUAD 2008 program using from poten...

BACKGROUND In this paper we propose the use of the within-subject coefficient of variation as an index of a measurement's reliability. For continuous variables and based on its maximum likelihood estimation we derive a variance-stabilizing transformation and discuss confidence interval construction within the framework of a one-way random effects model. We investigate sample size requirements f...

We report comprehensive simulations of the critical dynamics of a symmetric binary Lennard-Jones mixture near its consolute point. The self-diffusion coefficient exhibits no detectable anomaly. The data for the shear viscosity and the mutual-diffusion coefficient are fully consistent with the asymptotic power laws and amplitudes predicted by renormalization-group and mode-coupling theories prov...