We consider the set Ω2 of double zeros in (0, 1) for power series with coefficients in {−1, 0, 1}. We prove that Ω2 is disconnected, and estimate minΩ2 with high accuracy. We also show that [2 − η, 1) ⊂ Ω2 for some small, but explicit η > 0 (this was only known for η = 0). These results have applications in the study of infinite Bernoulli convolutions and connectedness properties of self-affine...

This study aimed to examine the effects of child maltreatment subtypes (physical abuse, sexual abuse, neglect, and exposure to domestic violence) and cumulative child maltreatment on depressive symptoms in adulthood, and examine the protective effects of social connectedness in a sample of formerly institutionalized females. The sample consisted of 124 females who were institutionalized in a Du...

We calculate the fractal dimension d, , , of the shortest path I between two points on a percolation cluster, where 1 rd”n and r is the Pythagorean distance between the points. We find d , , ,= 1.130*0.002 for d = 2 and 1.34i0.01 for d =3 . What is the length 1 of the shortest path or ‘chemical distance’ between two points of a random material? In general, I is greater than r, the Pythagorean d...

Genetic connectedness refers to a measure of genetic relatedness across management units (e.g., herds and flocks). With the presence of high genetic connectedness in management units, best linear unbiased prediction (BLUP) is known to provide reliable comparisons between estimated genetic values. Genetic connectedness has been studied for pedigree-based BLUP; however, relatively little attentio...

The impact of types of social connectedness-family, other adult, and school-on suicide ideation and attempts among all youth, the relative impact of each type, and effect modification by sexual orientation was assessed. Data were from the 2007-2009 Milwaukee Youth Risk Behavior Surveys. Multivariable logistic regression analyses calculated the risk of suicide ideation and attempts by sexual ori...

We prove that any unicritical polynomial fc : z 7→ z+c which is at most finitely renormalizable and has only repelling periodic points is combinatorially rigid. It implies that the connectedness locus (the “Multibrot set”) is locally connected at the corresponding parameter values. It generalizes Yoccoz’s Theorem for quadratics to the higher degree case. Stony Brook IMS Preprint #2005/05 July 2005

Yeshun Sun & Yongcheng Yin [3] and H. Ishida & T. Itoh [2] presented a precise description of the real cross section of the connectedness locus of the family of bi-quadratic polynomials {(z2+a)2+b}. In this note, we shall give a precise description of the real cross section of the connectedness locus of the family of polynomials {(P2n+1,b ◦P2n+1,a)(z)} = {(z2n+1 + a)2n+1 + b}, where a, b are co...

Given an arbitrary spacetime (M, g), we prove a simple criterion to check when many of the good properties of the time-separation (Lorentzian distance) d valid in globally hyperbolic spacetimes hold for M . Concretely, when the product P = M × R, g̃ = g + dy is causally simple, then not only M is causally simple, but also d is continuous and AvezSeifert connectedness (each two causally related e...

The ubiquity of online programs in higher education requires continued focus on designing instructional environments that improve students’ learning. We examine students’ perceptions of sense of community and learning, as well as academic achievement, using grades obtained from a final project and participation in asynchronous discussion forums. Findings indicate a significant correlation betwe...

Let W 6= ã. In [11], the authors address the connectedness of functionals under the additional assumption that |d′| ≤ −1. We show that |WF | 3 e. Now in [11], it is shown that Hippocrates’s condition is satisfied. Next, this reduces the results of [11] to an approximation argument.