神经元的形态分类和识别——2010年全国研究生数学建模竞赛C题论文

根据神经元的空间几何特征参数,研究神经元的空间形态分类方法,将神经元根据几何形态分类识别.首次提出利用模糊C均值算法(FCM)建立了模糊聚类分析模型,对所给的神经元样本进行了分类,这一模型用来对神经元进行分类比较合理,且计算结果准确.同时,还利用相关分析原理分析了不同动物神经系统中同一类神经元的形态特征有着很高的相似度.     

纳滤膜的研究进展

纳滤膜是一种新型分离膜,其截流分子量介于反渗透膜和超滤膜之间,且对无机盐有一定的截流率。国内外纳滤膜制备方法有L-S相转化法、复合法、荷电化法和无机改性等。纳滤膜研究中存在着膜通量小、膜制作成本较高及抗污染性差等问题,因此选择和制备纳滤膜的材料,优化纳滤技术水处理工艺设计,提高纳滤性能,降低制膜成本,减轻膜污染等已成为当今科学研究的重要课题。     

Deformation and long-term damage of particulate composites with stress-rupture microstrength described by a fractional-power function

The theory of long-term damage of homogeneous materials is generalized to particulate composite materials. The damage of the composite components is modeled by randomly dispersed micropores. The damage criterion for a microvolume is characterized by its stress-rupture strength. It is determined by the dependence of the time to brittle failure on the difference between the equivalent stress and its limit, which is the tensile strength, according to the Huber-Mises criterion, and assumed to be a random function of coordinates. An equation of damage (porosity) balance in the composite components at an arbitrary time is formulated. Algorithms of calculating the time dependence of microdamage and macrostresses or macrostrains are developed and corresponding curves are plotted in the case of limited microdurability Translated from Prikladnaya Mekhanika, Vol. 44, No. 10, pp. 3–12, October 2008.     

On testing of parameters in modulated power law process

The modulated power law process (MPLP) is often used to model failure data from repairable system, when both renewal type behaviour and time trends are present. The MPLP allows for the failure rate of a system to be affected by the failure and repair. Since the MLEs of the estimates do not have closed form expressions, they have to be approximated, and hence deriving a test procedure will be difficult. Black and Rigdon (1996) have proposed asymptotic MLEs and asymptotic likelihood ratio tests for the parameters which also do not have closed form expressions and hence are not easy for application. In this paper, we derive a closed form expression for the test statistics which is simple and easy to apply for testing (i) H₀: β=1 versus H₁: β≠1 when κ is known and (ii) H₀: (β=1 and κ=1) versus H₁: (β≠1 or κ≠1). The simulation study for percentiles and powers are given. We also compare the performance of the test with that of Black and Rigdon's (1996) test. Some numerical examples are also provided to illustrate the testing procedures. Copyright © 2001 John Wiley & Sons, Ltd.     

基于基金项目的“一带一路”研究格局与态势分析

以国家和有关部委的资助项目库为数据来源,检索2014-2016年“一带一路”的相关基金立项,运用文献计量和空间分析的方法从项目的负责人、科研单位、所属地域、学科、研究内容等多个角度进行解析,旨在揭示 “一带一路”研究的格局与态势.结果表明：（1）“一带一路”相关基金立项数目总体呈逐年上升趋势,增速平缓,国家社科基金主体地位明显.（2）项目所属单位、省份在空间上呈现集中分布趋势,体现了一定的区位优势、空间关联与地理邻近效应.（3）单个负责人的立项数目差异不大,分布较为平均.（4）“一带一路”、丝绸之路经济带、21世纪海上丝绸之路为目前学者主要的研究对象和议题.（5）各类基金高频词汇基本保持同步,五类基金研究的热门领域大体趋于一致,包括经济学、国际问题研究、民族问题研究和交叉学科研究等.最后,从研究数据、时间、空间及学科与合作前景上,对未来的研究趋势做了总结和展望.     

化学计量及分析测试技术发展动态

介绍国内外标准物质、分析测试技术的发展状况,重点介绍了美国、加拿大近几年在痕量有机分析、光谱化学分析、高准确度库仑分析、电感耦合等离子质谱、炉内原子化等离子体发射光谱等方面的研究动态。     

巴基斯坦Mw≥5.8地震时空对称与旋转规律研究及趋势判断

灾害预测是世界难题,选取1966年以来巴基斯坦M_w≥5.8地震数据,基于可公度理论和对称性原理,采用蝴蝶结构图和灾害统计方法分析了巴基斯坦M_w≥5.8地震的时空对称性,对下一次发生地震的位置进行趋势判断,并结合可能触发地震的主要天文因素,从地震触发机理上验证了判断结果的可靠性。 结果表明：（1）巴基斯坦M_w≥5.8历史地震可公度性良好,2018、2019年发震信号较强;（2）巴基斯坦M_w≥5.8地震在空间上呈三边形对称结构,震中空间变化具有两点线空间迁移规律和空间旋转规律,且在70.9 °E～77.7 °E,31.5 °N～37 °N发生M_w≥5.8地震的可能性较大;（3）巴基斯坦M_w≥5.8地震多发生在太阳黑子数下降段,这也进一步佐证了2018、2019年该地区发生地震的可能性。 该研究对完善统计方法,验证统计案例有重大意义,对巴基斯坦防灾减灾有参考价值。     

Time-dependent nonlinear optical properties of pyroelectric liquid crystalline polymers

Highly oriented pyroelectric liquid-crystalline polymers were prepared by photopolymerization under the influence of a static electric field from binary mixtures of two acrylate monomers exhibiting chiral smectic C mesomorphism. Both monomers contained nitro groups to yield second order nonlinear optical properties (second harmonic generation) and one of the monomers had two functional groups to yield a crosslinked polymer. The room temperature second order nonlinear susceptibility of the polymers showed during the first two hours a 10 % decrease after which it remained constant during the next 48 days. At elevated temperatures there was a significant difference in the nonlinear optical properties over time between crosslinked and uncrosslinked polymers. The uncrosslinked polymer showed a pronounced loss of second order nonlinear optical activity with time at ≥38°C. The crosslinked polymer showed a much smaller and basically a temperature independent decrease rate in the second order nonlinear optical properties at all the ageing temperatures (23-130°C). Both the loss in mesogen order parameter, very evident for the uncrosslinked polymer, and conformational changes occurring within the mesogens (β mechanism), may account for the observations made.     

水下声学浮标南中国海海洋环境噪声实测分析*

海洋环境噪声是多种自然噪声和人为噪声的复杂组合,其谱级大小和频率组成是影响声纳系统探测性能的重要参数,由于海洋环境噪声时空域特性是非常复杂的,因此需要对海洋环境噪声进行长时间和大范围的观测才足以分析其特性。本文通过在多剖面水下浮标平台基础上集成声学测量系统,研制出了一种具有海洋环境噪声监测能力的水下声学浮标平台,该浮标平台可多次上浮、下潜,具备原位坐底和定深漂流两种工作模式,能够连续观测海洋环境噪声时长多达几个月。利用2019年8月在南海海区组织的多台水下声学浮标组网试验数据,分析了不同频率海洋环境噪声谱级随时间变化特性,数据处理结果符合海洋环境噪声典型变化规律,试验表明,水下声学浮标可作为一种潜在的优势水下无人移动平台,用于长期监测海洋环境噪声特性。     

基于支持向量机的制造业结构变迁趋势预测

产业结构理论一直是我国学者研究的重点问题。然而,由于产业结构的影响因素众多,因而难以建立有效的计量经济模型。本文建立了微分进化算法的支持向量机模型,有效地解决了产业结构趋势预测问题。同时,以日本主导产业的时间序列数据为例,对制造业结构变迁趋势进行了较为准确的多步预测,从而为我国当前制造业发展趋势提供了有益的借鉴。