The Effects of an Integrative, Universally Designed Motor Skill Intervention for Young Children With and Without Disabilities

Many interventions feature a singular component approach to targeting children’s motor competency and proficiency. Yet, little is known about the use of integrative interventions to meet the complex developmental needs of children aged 3–6 years. The purpose of this study was to examine the effects of an integrative universally designed intervention on children with and without disabilities’ motor competency and proficiency. We selected children (N = 111; disability = 24; no disability = 87) to participate in either a school-based integrative motor intervention (n = 53) or a control condition (n = 58). Children in the integrative motor intervention both with and without disabilities showed significant improvement in motor competency and proficiency (p < .001) as compared with peers with and without disabilities in a control condition. Early childhood center directors (e.g., preschool and kindergarten) should consider implementing integrative universally designed interventions targeting multiple aspects of motor development to remediate delays in children with and without disabilities.

Solving the 4NLS with white noise initial data

We construct global-in-time singular dynamics for the (renormalized) cubic fourth-order nonlinear Schrödinger equation on the circle, having the white noise measure as an invariant measure. For this purpose, we introduce the ‘random-resonant / nonlinear decomposition’, which allows us to single out the singular component of the solution. Unlike the classical McKean, Bourgain, Da Prato-Debussche type argument, this singular component is nonlinear, consisting of arbitrarily high powers of the random initial data. We also employ a random gauge transform, leading to random Fourier restriction norm spaces. For this problem, a contraction argument does not work, and we instead establish the convergence of smooth approximating solutions by studying the partially iterated Duhamel formulation under the random gauge transform. We reduce the crucial nonlinear estimates to boundedness properties of certain random multilinear functionals of the white noise.

Research on Rolling Bearing Fault Feature Extraction Based on Singular Value Decomposition considering the Singular Component Accumulative Effect and Teager Energy Operator

The extraction of impulsive signatures from a vibration signal is vital for fault diagnosis of rolling element bearings, which are always whelmed by noise, especially in the early stage of defect development. Aiming at the weak defect diagnosis, kurtosis of Teager energy operator (KTEO) spectrum is employed to indicate the fault information capacity of a spectrum, and considering the accumulative effect of a singular component, accumulative kurtosis of TEO (AKTEO) is firstly proposed to determine the proper signal reconstructed order during vibration signal processing using singular value decomposition (SVD). Then, a vibration processing scheme named SVD-AKTEO is designed where an iteration is employed to reflect an accumulative singular effect by kurtosis of TEO spectrum. Finally, the fault diagnosis results can be extracted from the TEO spectrum output by SVD-AKTEO. Simulation data and real data from a run-to-failure experiment of a rolling bearing are adopted to validate the efficiency, and comparative analysis demonstrates the feasibility to detect the early defect of the rolling bearing.

Some Observations on Name Rings: towards a Typology

Research to date on name rings, which form a singular component of topographical lists, has primarily focused on the toponyms enclosed in the rings and their subsequent relevance to military campaigns. This article aims to explore another valuable facet of this phenomenon. It details the results of an investigation into the development of the iconography of the personages attached to these name rings during the Eighteenth Dynasty and early Nineteenth Dynasty on Egyptian royal monuments. Clear trends were discernible, from accoutrements to coiffures, that may be able to assist in the dating of royal monuments within sacred spaces.

On the singular components of a copula

We analyze copulas with a nontrivial singular component by using their Markov kernel representation. In particular, we provide existence results for copulas with a prescribed singular component. The constructions not only help to deal with problems related to multivariate stochastic systems of lifetimes when joint defaults can occur with a nonzero probability, but even provide a copula maximizing the probability of joint default.

On the singular components of a copula

We analyze copulas with a nontrivial singular component by using their Markov kernel representation. In particular, we provide existence results for copulas with a prescribed singular component. The constructions not only help to deal with problems related to multivariate stochastic systems of lifetimes when joint defaults can occur with a nonzero probability, but even provide a copula maximizing the probability of joint default.