Adaptive procedures using t and Wilcoxon-based tests for testing for treatment difference in mixed paired and two-sample designs are studied. Previous studies have found [...]

We give an overview of methods used to track moving objects in video and describe how information about animal behavior can be extracted from tracking data. We discuss ho[...]

We prove extension-dimensional versions of finite dimensional selection and approximation theorems. As applications, we obtain several results on extension dimension.

The arithmetic of the natural numbers N can be extended to arithmetic operations on planar binary trees. This gives rise to a noncommutative arithmetic theory. In this ex[...]

The Lasso is an attractive approach to variable selection in sparse, highdimensional regression models. Much work has been done to study the selection and estimation prop[...]

In this paper, the convolution theorem and the minimax theorem for estimating the survival function in the partial Koziol–Green model (PKG) are presented. The result indi[...]

The study of binary quadratic forms arose as a natural generalization of questions about the integers posed by the ancient Greeks. A major milestone of understanding occu[...]

We propose a direct method of partitioning the particulate spectral scattering coefficient of the marine hydrosol based on the concurrent determination of the concentrati[...]

The ecological consequences of hybridization of microbial symbionts are largely unknown. We tested the hypothesis that hybridization of microbial symbionts of plants can [...]

We investigate the structure of the singular part of the second bounded cohomology group of amalgamated products of groups by constructing an analog of the initial segmen[...]

Let f be a nondegenerate quadratic form in n ¾ 5 variables over a number field K and let S be a finite set of valuations of K containing all Archimedean ones. We prove th[...]

We introduce a concept of the bounded rank (with respect to a positive constant) for unital C * -algebras as a modification of the usual real rank and present a series of[...]

The goal of this short note is to observe that the singular part of the second bounded cohomology group of boundedly simple groups constructed in [3] is trivial. Recall t[...]

This note considers an extension of the concept of linear recurrence to recurrences on ranked posets. Some results on growth rates in the linear case are then extended to[...]

We introduce the notion of weakly (strongly) infinite real rank for unital C *-algebras. It is shown that a compact space X is weakly (strongly) infine-dimensional if and[...]

Among the unsolved problems in mathematics listed on Wolfram Mathworld's website is finding a formula for the probability that two permutations chosen at random generate [...]

We give a topological characterization of the n-dimensional pseudoboundary of the (2n + 1)-dimensional Euclidean space.

Nonparametric combinations of permutation tests for pairwise comparison of scale parameters, based on deviances, are examined. Permutation tests for comparing two or more[...]

We say that a C *-algebra X has the approximate n-th root property (n = 2) if for every a ? X with kak = 1 and every " > 0 there exits b ? X such that kbk = 1 and ka -[...]

We compute commutativity degrees of wreath products AoB of finite abelian groups A and B. When B is fixed of order n the asymptotic commutativity degree of such wreath pr[...]

The objective of this work is to compare particle size distributions (PSD) measured by automated scanning electron microscopy (ASEM) and acoustic attenuation spectroscopy[...]

We show that a complemented subspace of a locally convex direct sum of an uncountable collection of Banach spaces is a locally convex direct sum of complemented subspaces[...]

We show that complemented subspaces of uncountable products of Banach spaces are products of complemented subspaces of countable subproducts.

This dissertation focuses on the computational analysis for classes of nonlinear elliptic equations, namely, around three interconnected themes: high-order finite differe[...]

This paper develops a new framework for designing and analyzing convergent finite difference methods for approximating both classical and viscosity solutions of second or[...]