This Article is brought to you for free and open access by the STEM Education & Professional Studies at ODU Digital Commons. It has been accepted for inclusion in STEMPS Faculty Publications by an authorized administrator of ODU Digital Commons. For more information, please contact [email protected]. Repository Citation Romero-Hall, Enilda; Watson, Ginger S.; Papelis, Yiannis; and Garcia, ...

A non-crossing tree (NC-tree) is a tree drawn on the plane having as vertices a set of points on the boundary of a circle, and whose edges are straight line segments that do not cross. In this paper, we show that NC-trees with size n are conditioned Galton–Watson trees. As corollaries, we give the limit law of depth-first traversal processes and the limit profile of NC-trees.

Background Accurate assessment of total body water (TBW) is essential for the evaluation of dialysis adequacy (Kt/Vurea). The Watson formula, which is recommended for the calculation of TBW, was derived in healthy volunteers thereby leading to potentially inaccurate TBW estimates in maintenance hemodialysis recipients. Bioimpedance spectroscopy (BIS) may be a robust alternative for the measurem...

Often lost in the controversy over John B. Watson's later life are his major contributions to the study of instinctive behavior earlier in his career. As Samelson and Todd (both this volume) describe, he was pivotal in the development of comparative psychology and merits recognition as a proto-ethologist. Samelson's and Todd's analyses clarify how this work was compatible with early Watsonian b...

Watson-Crick D0L systems, introduced in 1997 by V. Mihalache and A. Salomaa, arise from two major principles: the Lindenmayer rewriting and the Watson-Crick complementarity principle. Complementarity can be viewed as a purely language-theoretic operation. Majority of a certain type of symbols in a string (purines vs. pyrimidines) triggers a transition to the complementary string. The paper deal...

A little-known procedure for porphobilinogen screening, the Hoesch test, was examined for sensitivity, specificity, and utility as compared to the Watson-Schwartz test. The data demonstrate that its sensitivity is similar to that of the Watson-Schwartz test. The Hoesch test, however, is without false-positive reactions secondary to urobilinogen, and its simplicity makes it easier to use and mor...

Abstract : In this paper, we prove large deviations principle for the Nadaraya-Watson estimator and for the semi-recursive kernel estimator of the regression in the multidimensional case. Under suitable conditions, we show that the rate function is a good rate function. We thus generalize the results already obtained in the unidimensional case for the Nadaraya-Watson estimator. Moreover, we giv...

Evaluations of series of the q-Watson, q-Dixon, and q-Whipple type Chuanan Wei1∗ Xiaoxia Wang2† 1 Department of Medical Informatics, Hainan Medical University, China 2 Department of Mathematics, Shanghai University, China received 16th Apr. 2016, revised 1st May 2017, accepted 6th June 2017. Using q-series identities and series rearrangement, we establish several extensions of q-Watson formulas...

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We give a necessary and sufficient condition for the convergence in distribution of a conditioned Galton-Watson tree to Kesten’s tree. This yields elementary proofs of Kesten’s result as well as other known results on local limits of conditioned Galton-Watson trees. We then apply this condition to get new results in the critical case (with a general offspring distribution) and in the sub-critic...