Supporting disciplinary and interdisciplinary knowledge development and design thinking in an informal,pre‐engineering program: A Workplace Simulation Project

In this paper, we examined students’ engagement in an implementation of a Workplace Simulation Project (WSP). The WSP was designed to actively engage students in learning disciplinary content by inviting engineers from industry to have a physical presence within the school building to collaborate with teachers and students to complete projects which simulate the tasks authentic to their work. We focus on the first year implementation of the program that partnered a high school in the rural Midwest with an engineering unit of a government organization. Using a multiple methods study design, we analyzed disciplinary and interdisciplinary pre and posts test along with students’ interviews to determine learning gains as well as students’ interpretations of creative and critical thinking as experienced in the project and their knowledge of the engineering design process. Effect sizes showed that students in the WSP group had notable gains over the control group participants. Additionally, students’ knowledge of core elements of the design process were identified in inductive analyses of the interviews. Findings from this study will provide usable knowledge about effective ways to support systems and design thinking and ways to support expert‐novice collaboration to ensure success.     

A limit field for orthogonal range searches in two-dimensional random point search trees

We consider the cost of general orthogonal range queries in random quadtrees. The cost of a given query is encoded into a (random) function of four variables which characterize the coordinates of two opposite corners of the query rectangle. We prove that, when suitably shifted and rescaled, the random cost function converges uniformly in probability towards a random field that is characterized as the unique solution to a distributional fixed-point equation. We also state similar results for 2-d trees. Our results imply for instance that the worst case query satisfies the same asymptotic estimates as a typical query, and thereby resolve an open question of Chanzy et al. (2001).     

Stochastically forced cardiac bidomain model

The bidomain system of degenerate reaction–diffusion equations is a well-established spatial model of electrical activity in cardiac tissue, with “reaction” linked to the cellular action potential and “diffusion” representing current flow between cells. The purpose of this paper is to introduce a “stochastically forced” version of the bidomain model that accounts for various random effects. We establish the existence of martingale (probabilistic weak) solutions to the stochastic bidomain model. The result is proved by means of an auxiliary nondegenerate system and the Faedo–Galerkin method. To prove convergence of the approximate solutions, we use the stochastic compactness method and Skorokhod–Jakubowski a.s. representations. Finally, via a pathwise uniqueness result, we conclude that the martingale solutions are pathwise (i.e., probabilistic strong) solutions.     

Stationary solitons of a three-wave model generated by Type II second-harmonic generation in quadratic media

In this paper, we prove the uniqueness of stationary standing wave solutions of an optical model generated by Type II Second Harmonic Generation (SHG) with behaviors tending to zero at infinity under certain conditions on parameters. In addition, we provide the same issues for the Dirichlet boundary value problems on the ball centered at the origin. A classification of solutions for radial case is also established.     

On Eisenstein polynomials and zeta polynomials

Eisenstein polynomials, which were defined by Oura, are analogues of the concept of an Eisenstein series. Oura conjectured that there exist some analogous properties between Eisenstein series and Eisenstein polynomials. In this paper, we provide new analogous properties of Eisenstein polynomials and zeta polynomials. These properties are finite analogies of certain properties of Eisenstein series.     

Two criteria to check whether ideals are direct sums of cyclically presented modules

A famous theorem of commutative algebra due to I. M. Isaacs states that “if every prime ideal of R is principal, then every ideal of R is principal”. Therefore, a natural question of this sort is “whether the same is true if one weakens this condition and studies rings in which ideals are direct sums of cyclically presented modules?” The goal of this paper is to answer this question in the case R is a commutative local ring. We obtain an analogue of Isaacs's theorem. In fact, we give two criteria to check whether every ideal of a commutative local ring R is a direct sum of cyclically presented modules, it suffices to test only the prime ideals or structure of the maximal ideal of R. As a consequence, we obtain: if R is a commutative local ring such that every prime ideal of R is a direct sum of cyclically presented R-modules, then R is a Noetherian ring. Finally, we describe the ideal structure of commutative local rings in which every ideal of R is a direct sum of cyclically presented R-modules.     

GNSS抗干扰技术的现状与发展

对全球导航卫星系统(GNSS)抗干扰技术的现状和发展趋势进行了分析研究,研究了组合导航、自适应阵列天线、抗干扰新型信号体制、区域功率增强和空基伪卫星组网增强等多种适用有效的抗干扰手段,探讨了GNSS抗干扰技术的发展趋势。     

非接触电能传输系统松耦合变压器传输特性的研究

本文是对基于非接触感应电能传输技术的全桥谐振变换器的传输特性进行的研究.松耦合变压器是非接触电能传输系统中的关键部件,本文首先分析了松耦合变压器与传统紧耦合变压器的区别进而提出原副边补偿问题,其次计算出串串补偿和串并补偿电容的选取,再次计算当系统工作在谐振状态时电压的放大倍数并得出负载特性,最后通过PSpice软件搭建电路并仿真,证明分析和结论的正确性.     

基于项目教学的课程系统的特征及其设计原则

本文从项目教学的需求与系统设计的矛盾入手提出问题,从基于项目教学课程管理系统的概念入手,分析了项目教学系统特征,并结合一般课程管理系统的共性,最终提出了基于项目教学的系统开发原则,用于指导项目化教学平台的开发。     

图书管理系统设计研究

图书管理系统是一个常用的系统,书店、图书馆等都会用到这个系统。在系统开发的教学过程中,图书管理系统也作为一个经典的开发实例,引导学生进入到真正的开发实践中,并从中逐步掌握软件开发的过程。图书管理系统主要包括图书信息、图书管理、用户设置和报表打印等功能。图书管理系统需要记录存储相应的图书数据,并且还要能根据各功能的使用来调用或者更新当前数据。本文详细介绍了图书管理系统的总体设计原理以及部分子功能的操作步骤,最后对应用系统的开发进行了总结。