Mathematical modelling and the learning trajectory: tools to support the teaching of linear algebra

In this article we present a didactic proposal for teaching linear algebra based on two compatible theoretical models: emergent models and mathematical modelling. This proposal begins with a problematic situation related to the creation and use of secure passwords, which leads students toward the construction of the concepts of spanning set and span. The objective is to evaluate this didactic proposal by determining the level of match between the hypothetical learning trajectory (HLT) designed in this study with the actual learning trajectory in the second experimental cycle of an investigation design-based research more extensive. The results show a high level of match between the trajectories in more than half of the conjectures, which gives evidence that the HLT has supported, in many cases, the achievement of the learning objective, and that additionally mathematical modelling contributes to the construction of these linear algebra concepts.     

层状弹塑性板动力变形的数值研究(英文)

本文研究了搁置在任意形状轴承上的层状平板,加上脉冲载荷(如炸药爆炸),结果产生塑性流动,改变了板和轴承的接触和破坏了层状板之间的接合,使之发生滑移,最后板形成残余形变,强动载冲击板产生形变的实际过程可分为两个阶段:第一阶段为应力波的传播和在板内应力波的相互作用,主要是从自由面反射的应力波和从轴承面反射的应力波,波经重复几次反射后,造成板的屈曲状态,其间,板的中间层始终保持中线弹性状态。第二阶段为板内某些截面发生塑性形变,随厚度不同而不同地收缩,同时所有的板均拉伸而增加了板的弯曲,最后,塑性形变消耗掉能量后,板各单元变为弹性状态而产生某种模型的振动。     

粘贴碳纤维布加固混凝土管道试验研究

首次通过对14个素混凝土和14个钢筋混凝土环状试件外粘碳纤维布加固性能进行试验，研究了碳纤维布加固混凝土内压圆管的破坏特征、受力性能和破坏机理。对不同加固方法及一次或二次受力的混凝土管在内压力作用下的极限承载力、荷载一应变关系等方面进行了研究。试验结果表明，用碳纤维布加固混凝土内压管可以显著地提高极限承载力，明显的改善了构件的延性，能够获得良好的力学性能。加固后试件的开裂承载力与未加固试件相比，提高幅度不大，加固试件二次受力与一次受力相比，开裂荷载有所降低，但极限承载力基本相同。用碳纤维布加固内压管是一个新课题，具有很好的应用前景，用本文提出的加固方法具有优良的加固性能，可为工程应用提供参考。     

关于国家自然科学基金资助摩擦学基础研究的分析与讨论

本文首先对国家自然科学基金在１９８６－１９９１年间资助摩擦学基础研究的情况进行了简洁的分析，接着就其资助办法作了介绍，最后着重对如何利用科学基金促进摩擦学的发展问题作了讨论，指出应当把坚持应用摩擦学学科发展战略的研究成果、鼓励和支持创新性研究、积极支持交叉学科研究和注意扶植新的学科生长点、加强摩擦学研究与实际应用相结合和促进优秀青年摩擦学研究人才的迅速成长等作为国家自然科学基金资助摩擦学基础研究的     

Order and Pattern Formation in Psychotherapy

In an empirical analysis of the dynamics of psychotherapy processes, concepts and tools from self-organization theory are applied. Our focus is on pattern formation in the therapy system, i.e. the system constituted by the interaction dynamics of therapist and patient. The hypothesis of pattern formation explored is based on data sets of 28 psychotherapy courses (10 behavioral, 3 client-centered, 9 heuristic, 6 schema-oriented; 40 to 90 weekly sessions). Patients' and therapists' therapy session records are analyzed (33 variables addressing various aspects of the therapeutic relationship, of progress within and outside the therapy setting). Multivariate methods are implemented to test the key hypothesis of self-organization theory, namely the reduction of degrees of freedom of a system. Consistent with this hypothesis, a significant reduction of degrees of freedom is found when the initial and final sessions of the therapies are compared. Correspondingly, Landsberg order increased significantly in the course of therapies. Given these findings, the explorative question of how this self-organizing property relates to therapy outcome is investigated. We find a significant positive association with various outcome measures, such as: therapist's and client's evaluations of success (direct change measures), feelings of guilt, anxiety, social potence, depression (pre-post effect sizes), and others. These results suggest that order is related to therapy outcome. In our interpretation, order is a dynamical attribute of the therapeutic alliance to be considered as a promising therapy process variable.     

Determination of neopterin, kynurenine, tryptophan and creatinine in human serum by high throuput HPLC

A new HPLC method for simultaneous determination of neopterin, creatinine, kynurenine and tryptophan in human serum was developed and validated. Monolithic stationary phase's technology (two monolithic columns RP-18e were connected with guard monolithic cartridge 4.6 mm × 50 mm + 3.0 mm × 100 mm and 4.6 × 10 mm) and special auto sampler for micro titration plates (samples are storage in dark cooled place protected against evaporation) were combined with easy sample preparation step. As mobile phase 15 mmol/L phosphate buffer at pH 4.50 was used. Neopterin and tryptophan were detected using fluorescent detection and kynurenine and creatinine were detected by diode-array detection. This method may be suitable for large sequences of samples in clinical research and routine practice.     

化学酶法动态动力学拆分胺类化合物研究进展

论述了动态动力学拆分的原理,介绍了化学酶法拆分消旋体胺类化合物的反应和近年来的研究进展;指出手性胺是构成许多中间体的基础化合物,化学酶法动态动力学拆分是制备单一手性胺类化合物的重要方法.     

网络品牌忠诚驱动因素分类研究

将网络品牌分为传统品牌的网络延伸和网络新品牌两种形式,通过分析网络品牌忠诚的动态形成过程,构建了网络品牌忠诚驱动要素研究模型。实证研究发现,网络品牌的符号因素、属性因素、精神因素、价值观因素、传播因素、体验因素都与网络品牌忠诚正相关,但两类网络品牌忠诚的关键驱动因素存在差别。体验因素、价值观因素和属性因素是网络新品牌忠诚的关键驱动因素,而属性因素、体验因素和传播因素对网络化的传统品牌忠诚度有重要影响。     

基于语言评价信息的知识资本要素识别方法

知识资本是组织创造价值和获取竞争优势的关键资源, 其要素通常具有复杂的关联性, 如何识别知识资本的核心要素、原因要素和结果要素,对于组织进行知识资本管理具有重要意义.本文在构建了知识资本要素识别体系的基础上,借鉴决策试验和评价实验室报告的思想提出了一种基于语言评价信息的知识资本要素识别方法,通过处理和集结专家针对知识资本要素关联给出的语言评价信息,对知识资本要素进行排序与归类.最后通过一个实例分析说明了该方法的应用, 并说明了如何根据识别结果制定相应的策略以便进行知识资本的投资和控制.     

博弈论在通信对抗态势预测中的应用

本文首先提出了基于博弈论预测电磁态势演变的基本构想,设置了通信对抗的场景并构建了相应的数学模型.其次,分析了通信对抗电磁态势生成流程,最后结合一定的作战背景进行了仿真实验,基于双方博弈的原则预测了通信对抗态势的演变.仿真结果与理论分析相符,该研究成果已在多个作战仿真系统中得到了成功应用.