Temporal freedom in mathematical thought: A philosophical–empirical enquiry

This paper seeks to introduce and elaborate on the notion of ‘temporal freedom’ in the context of mathematical thinking.The intention is to merge a philosophical and empirical discussion on this topic, and findings will be presented from a qualitative study in which 29 high-school students were invited to explore the symmetry group of a square during clinical interviews. The data indicate how the interviewees – who were given the opportunity to freely explore an unseen mathematical system – repeatedly brought past and future together in a tangible present during their investigations. In doing so they were exceptionally successful in engaging with advanced abstract algebra, far beyond what might have been expected at the outset.By using empirical data to exemplify an otherwise highly philosophical discussion, I hope to draw explicit attention to the temporal aspect of the human mind in mathematical action which instructional methods frequently fail to recognise, value and utilise.     

建模思想在化学原理教学中的运用

通过竞争反应与海水晒盐2个案例,阐述了在化学原理教学过程中运用建模思想,可以使复杂的过程变得简洁、抽象,从而明晰现象背后的原理、规律。     

对称相位函数掩模化的研究

本文对各种连续对称相位函数及其特性进行了分析,讨论了相位函数的2π调制、2^N和N-1法量化等问题及数据处理过程,提出二元衍射元件CIF(Caltech Intermediate Form)格式掩模数据的生成方法,并建立了实用软件,为激光直写技术实现二元衍射光学元件制作提供了有效的手段.     

激光直写邻近效应的校正

邻近效应是限制光刻系统分辨力的一个重要因素,它也限制了激光直写在亚微米和亚半微米光刻中的应用。分析了激光直写邻近效应产生的原因,指出它和电子束直写及投影光刻的区别,提出了一种简便有效的邻近校正方法。实验表明,通过光学邻近校正（ＯＰＣ）,利用微米级激光直写系统,制作出了０．６μｍ的实用光刻线条     

极坐标激光直写系统原点定位的实验研究

分析了旋转线性光栅法对准光轴与旋转机械轴中心的理论准确度,实验研究了极坐标激光直写系统的原点定位.在极坐标激光直写系统下进行了圆环线条写入实验,得出了原点定位的准确度,原点定位准确度优于0.5 μm,实验与理论定位准确度基本一致.     

A study on theoretical predictive model and experimental findings of melt-electrospinning process

The current study extends a previous work published by the authors in which an analytical predictive model is proposed to simulate the melt-electrospinning process. The analytical model is specifically designed to predict the various behaviors of the melt-electrospun fiber under different material and processing conditions. A brief discussion of this model is presented here to establish context and help the reader capture the modeling philosophy employed. The current study complements the previous work by focusing on the experimental aspects of the research. Correlations between the independent process parameters and the topological attributes of the melt-electrospun fibers are investigated and compared with findings from the theoretical model. The effects of changes in the process parameters on average fiber diameters and the collection diameter are experimentally analyzed using the design of experiments (DOE) techniques. Toward this end, polylactic acid (PLA) is melt-electrospun at different treatment levels of the processing parameters in a controlled environment. Two regression-based models—one for predicting the collection diameter and the other for the fiber diameter—are derived from the DOE data for benchmarking and quantitative evaluation of the predictive performance of the theoretical model. The theoretical model is run based on the same treatment levels as the experiment. The elastic parameter values used in the theoretical simulation are extracted from rheological tests. Comparison between the simulated and the observed fiber characteristics revealed that the collector diameter predictions by the theoretical model exhibited approximately a 16.7% difference compared to 24.2% for the average fiber diameter. Finally, a discussion is presented on the challenges and potential factors contributing to the observed differences. Overall, given the identified challenges and gaps in material characterization, the results of the theoretical predictive model are encouraging.     

思想实验及其对化学仿真实验教学的启示

思想实验作为一种研究方法和阐明科学理论的表述方法,广泛应用于各个学科。其基本特征为:思想实验是在头脑中进行的实验,具有非实际的可操作性;思想实验,全凭思维中的抽象形式和抽象运动展开,具有严密的逻辑性;思想实验是人们在长期实验的经验基础上的产物,具有实践性。在化学教学中,随着信息技术的发展,仿真实验逐渐被教学一线所接受。考察仿真实验的相关研究和思想实验的特征可见:仿真实验具有思想实验的特质,仿真实验可视为思想实验在化学实验教学领域的特定表现。有限度地使用仿真实验,有利于促进化学教学手段的现代化和化学实验观念的更新。但仿真实验不能承载所有的实验教学功能,搞好仿真实验教学需以真实场景的实验教学为基础。     

Optical studies of two dimensional gratings in fused silica, GE 124, and Foturan glasses fabricated using femtosecond laser pulses

Herein we present results on the femtosecond laser direct writing and optical characterization studies of two dimensional gratings in fused silica, GE 124, and Foturan^™ glasses. Varieties of structures were achieved with varying input energy and spatial orientation of the samples. Various characterization techniques including fluorescence spectroscopy, micro-Raman spectroscopy, and laser confocal microscopy were employed to analyze the structural and physical modifications at the focal volume resulting in change of refractive index. Diffraction efficiencies of 9–12% were observed from the grating structures. A broad-band emission was observed in the laser-modified region of the Foturan glass. The obtained results are analyzed in the light of recent work in similar glasses and exploring the applications of such structures in the fields of photonics.     

大学物理中微积分思想和方法教学浅谈

分析了微积分思想和方法在大学物理教学中需要讲清的有关问题．     

离子微束技术及其多学科应用

通过微米孔准直或电磁聚焦技术可将加速器产生的MeV离子束形成微米尺寸的离子束斑(微束), 从而用来研究固体和生物样品的微米空间分辨的材料信息和辐照响应。 结合MeV离子微束的发展历史综述了微束技术和跨学科应用, 包括利用微束开展具有空间分辨的离子束分析、 单粒子效应、 微纳加工和细胞辐射响应等研究。 介绍了中国科学院近代物理研究所的高能重离子微束辐照装置, 该装置成功地将总能量为1 GeV的C离子在大气中聚焦为1 μm×2 μm的微米束斑。 Beam of MeV ions from particle accelerators can be confined by collimators or focused by electrical/magnetic quadruples into micrometer size, and this microbeam can be used to obtain spatial information or radiation effect in solids and biological samples. This paper reviews the technical developments and the multi disciplinary applications of microbeam, including ion beam analysis, single event effect in semiconductor devices, proton beam writing and cellular response to targeted particle irradiations. Finally, the high energy heavy ion microbeam facility at the Institute of Modern Physics of Chinese Academy of Sciences is introduced, which has successfully focused 1 GeV Carbon ions into a beam spot of 1 μm×2 μm in air.