This paper investigates the initial time difference equi-boundedness criteria in terms of two measures, initial time difference boundedness and Lagrange Stability in terms of two measures. These are unified with Lyapunov-like functions to establish a variational comparison result. We support our new results with analytic examples and numerical applications.

The study of uniformly distributed measures was crucial in Preiss’ proof of his theorem on rectifiability of measures with positive density. It is known that the support of a uniformly distributed measure is an analytic variety. In this paper, we provide quantitative information on the rectifiability of this variety. Tolsa had already shown that n-uniform measures are uniformly rectifiable. Her...

Latent Growth Curve Models (LGCM) are discussed as a general data-analytic approach to the analysis of change. Conventional, but popular, methods of analyzing change over time, such as the paired t-test, repeated measures ANOVA, or MANOVA, have a tradition, which is quite different from the more recently developed latent growth curve models. While the former originated from the idea of variance...

An analytic cognitive style denotes a propensity to set aside highly salient intuitions when engaging in problem solving. We assess the hypothesis that an analytic cognitive style is associated with a history of questioning, altering, and rejecting (i.e., unbelieving) supernatural claims, both religious and paranormal. In two studies, we examined associations of God beliefs, religious engagemen...

In this paper, I formally deene uncertainty, diiculty, and complexity both as measures of problems and environments and as analytic paradigms and discuss the importance of the diiculty and uncertainty paradigms in the study of institutions.

In this paper we study the dependence of geometric properties Radon measures, such as Hausdorff dimension and rectifiability singular sets, on wavefront set. We prove our results by adapting method Brummelhuis to non-analytic case. As an application obtain a general form Uncertainty Principle for measures complex sphere. This instance UP generalizes celebrated theorem Aleksandrov Forelli concer...