Pattern transition and regulation in a subthalamopallidal network under electromagnetic effect

Although the significant roles of magnetic induction and electromagnetic radiation in the neural system have been widely studied, their influence on Parkinson's disease (PD) has yet to be well explored. By virtue of the magnetic flux variable, this paper studies the transition of firing patterns induced by magnetic induction and the regulation effect of external magnetic radiation on the firing activities of the subthalamopallidal network in basal ganglia. We find: (i) The network reproduces five typical waveforms corresponding to the severity of symptoms: weak cluster, episodic, continuous cluster, episodic, and continuous wave. (ii) Magnetic induction is a double-edged sword for the treatment of PD. Although the increase of magnetic coefficient may lead the physiological firing activity to transfer to pathological firing activity, it also can regulate the pathological intensity firing activity with excessive β-band power transferring to the physiological firing pattern with weak β-band power. (iii) External magnetic radiation could inhibit continuous tremulous firing and β-band power of subthalamic nucleus (STN), which means the severity of symptoms weakened. Especially, the bi-parameter plane of the regulation region shows that a short pulse period of magnetic radiation and a medium level of pulse percentage can well regulate pathological oscillation. This work helps to understand the firing activity of the subthalamopallidal network under electromagnetic effect. It may also provide insights into the mechanisms behind the electromagnetic therapy of PD-related firing activity.     

Finite‐size corrections at the hard edge for the Laguerre β ensemble

A fundamental question in random matrix theory is to quantify the optimal rate of convergence to universal laws. We take up this problem for the Laguerre β ensemble, characterized by the Dyson parameter β, and the Laguerre weight , in the hard edge limit. The latter relates to the eigenvalues in the vicinity of the origin in the scaled variable . Previous work has established the corresponding functional form of various statistical quantities—for example, the distribution of the smallest eigenvalue, provided that . We show, using the theory of multidimensional hypergeometric functions based on Jack polynomials, that with the modified hard edge scaling , the rate of convergence to the limiting distribution is , which is optimal. In the case , general the explicit functional form of the distribution of the smallest eigenvalue at this order can be computed, as it can for and general . An iterative scheme is presented to numerically approximate the functional form for general .     

图书馆大流通服务模式的特点及对策

随着图书馆服务模式不断升级，新型服务管理模式得到推广与使用，既方便了师生查阅文献资料，也降低了管理人员的工作难度。阐述了大流通服务的概念，分析了大流通服务模式的特点，提出了推进图书馆大流通服务的对策。     

一种自适应步长的复合梯度加速优化算法

自适应步长加速(Adam)类算法由于其计算效率高、兼容性好的特点，成为近期相关领域的研究热点.针对Adam收敛速度慢的问题，本文基于当前梯度、预测梯度以及历史动量梯度，提出一种新型Adam类一阶优化算法——复合梯度下降法(C-Adam)，并对其收敛性进行了理论证明.与其他加速算法的区别之处在于，C-Adam将预测梯度与历史动量区别开，通过一次真实的梯度更新找到下一次迭代更精准的搜索方向.利用两组常用测试数据集及45钢静拉伸破坏实验的实验数据对所提算法进行验证，实验结果表明C-Adam与其他流行算法相比较具有更快的收敛速度及更小的训练损失.     

不可微多目标数学规划的高阶对偶性

引入了一类不可微多目标数学规划的高阶对偶模型。在广义凸性条件下,建立了弱对偶性定理。其结果推广和统一了近期文献上出现的结果。     

高校开设数学实验课的探索

阐述了开设数学实验课的必要性和意义，探索了数学实验课程的教学内容、教学方法、师资队伍建设、实验室建设及其对学生学习的影响．     

关于高师院校计算机专业教学改革的几点建议

本文以高等师范院校计算机专业教学改革为例,从教育观念的更新、教学模式的转变、教学手段的更新、教学对象的再认识、教学中的教材教法等多个方面分析以网络为主的现代教育模式改革的思想,目的在于探索出一条以多媒体和网络为主体的教学环境下的教育新思路。     

多媒体网络环境下数学建模过程探讨

在社会高度信息化的今天 ,多媒体网络为学生的数学建模提供了一个应用现代信息技术的机会 .在多媒体网络环境下开展数学建模可以按照查阅资料 ,模型准备、模拟实验 ,建立模型、数学模型的解、实际问题的解、撰写论文 ,展示成果这样的步骤进行     

Permutation Analysis of Track and Column Braiding

Introduction Trackandcolumnbraidingisanavailable3D braidingmethod[1～3],whichperformsbraidingprocessbymovingbraidingcarriersalongroworcolumndirection alternatively.LiandDing[4]examinethebraidingmethod andconcentratetheirstudyonthemovementofbraiding carriersonthebraidingplatform,onwhichthebraiding tracksarelocated.Accordingtothebraidingprinciple,a studyofbraidingprocessisactuallyastudyofthemovingpatternofyarnendsonthebraidingplatform.Intheiranotherpaper[6],thepositionsofbraidingcarriersare r…     

图析宁波电视收视格局

文章对宁波的电视收视总体格局、晚间时段各电视频道的竞争态势,以及电视剧在宁波的收视情况作了由总及分的探讨和分析,将数据做成图表的形式形象、科学地解构了宁波电视的收视格局,对了解宁波电视收视情况和促进各台竞争提供了实际的参考价值.