π−N\pi-N Drell-Yan process in TMD factorization

This article presents the review of the current understanding on the pion-nucleon Drell-Yan process from the point of view of the TMD factorization. Using the evolution formalism for the unpolarized and polarized TMD distributions developed recently, we provide the theoretical expression of the relevant physical observables, namely, the unpolarized cross section, the Sivers asymmetry, and the $\cos2\phi$ asymmetry contributed by the double Boer-Mulders effects. The corresponding phenomenology, particularly at the kinematical configuration of the COMPASS $\pi N$ Drell-Yan facility, is displayed numerically.Comment: Version published in Advances in High Energy Physic

Stochastic Trust Region Methods with Trust Region Radius Depending on Probabilistic Models

We present a stochastic trust-region model-based framework in which its radius is related to the probabilistic models. Especially, we propose a specific algorithm, termed STRME, in which the trust-region radius depends linearly on the latest model gradient. The complexity of STRME method in non-convex, convex and strongly convex settings has all been analyzed, which matches the existing algorithms based on probabilistic properties. In addition, several numerical experiments are carried out to reveal the benefits of the proposed methods compared to the existing stochastic trust-region methods and other relevant stochastic gradient methods

The Influences of Parental Expectations on Children\u27s Academic Achievements: A Comparative Analysis of the United States and China

Parenting is very important to children, and it directly or indirectly influences children\u27s outcomes in schools. Parents express passions and strong desires to help their children to succeed regardless of race, ethnicity, or socioeconomic status, and they are highly interested in their children\u27s education in school. This paper is concerned with parental expectations for school-aged children in the United States and China under the influences of historical, cultural and social context. I will comprehensively compare relevant literature parts in both America and China, determining the distinctions in terms of various parenting patterns. Research about parental expectations in the two countries will help me to better understand the differences of parental involvement in education and understand some problems and phenomena in current society. The methodology is based on theoretical/conceptual literature, and it is not an empirical study