Subset representations and eigenvalues of the universal intertwining matrix

We solve a combinatorial question concerning eigenvalues of the universal intertwining endomorphism of a subset representation.     

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.     

李雅普诺夫：逐梦唯美天空的俄罗斯数学家

 李雅普诺夫是圣彼得堡数学学派的中流砥柱，创立了运动稳定性理论、旋转液团平衡形状理论和微分方程定性理论，探索了概率论中心极限定理和一系列其他深刻数学力学问题，为俄罗斯跻身世界科技强国做出了卓越贡献。通过采撷李雅普诺夫的动人爱情诗篇和唯美科学奋斗目标，展示了其美丽的爱情观和追求卓越的科学精神、人生观和宇宙观。     

改进遗传算法及其在钻井液设计中的运用

在深井、超深井以及地层复杂等条件下，为了避免或减少钻井事故的发生，达到优质快速钻井的目的，选择合适的钻井液体系至关重要。基于案例推理（CBR，Case-Based Reasoning）的钻井液设计中，钻井液体系由岩性、井型和井深等属性推理得出，但属性权重的分配会对推理结果产生显著的影响；遗传算法在优化属性权重时，存在收敛速度慢、收敛精度低的缺点。针对上述问题，提出一种解决CBR中属性权重分配问题的改进遗传算法。首先，对遗传算子进行改进：选择算子方面，利用指数尺度变换法优化个体选择；交叉算子方面，对算术交叉中的比例因子进行自适应调整；变异算子方面，改进个体变异方向，保持种群多样性。其次，从个体适应度和交叉个体的差异程度两方面实现交叉概率自适应调整。最后，通过对UCI数据集的对比实验，证明了改进后的遗传算法能改善全局收敛性能，提高CBR的准确率。将该算法运用到基于CBR的钻井液设计中，实验结果表明，所提方法能够优化属性权重的分配，进而提高钻井液设计的质量。     

A unified theory for brittle and ductile shear mode fracture

A unified theory captures both brittle and ductile fracture. The fracture toughness is proportional to the applied stress squared and the length of the crack. For purely brittle solids, this criterion is equivalent to Griffith's theory. In other cases, it provides a theoretical basis for the Irwin-Orowan formula. For purely ductile solids, the theory makes direct contact with the Bilby-Cottrell-Swinden model. The toughness is highest in ductile materials because the shielding dislocations in the plastic zone provide additional resistance to crack growth. This resistance is the force opposing dislocation motion, and the Peach-Koehler force overcomes it. A dislocation-free zone separates the plastic zone from and the tip of the crack. The dislocation-free zone is finite because molecular forces responsible for the cohesion of the surfaces near the crack tip are not negligible. At the point of crack growth, the length of the dislocation-free zone is constant and the shielding dislocations advance in concert. As in Griffith's theory, the crack is in unstable equilibrium. The theory shows that a dimensionless variable controls the elastoplastic behaviour. A relationship for the size of the dislocation-free zone is derived in terms of the macroscopic and microscopic parameters that govern the fracture.     

桉树杂交种与其亲本的近红外光谱判别

研究桉树控制授粉后目标性状的基因作用方式是探索其基因重组规律的重要内容。常规的数量统计分析精度往往不高,而DNA分析的专业要求高,且费时费力。该研究利用近红外光谱(NIRs)研究不同基因型桉树杂交种、亲本及杂交种与亲本间近红外光谱信息的关系,探索NIRs用于桉树杂交种与其亲本判别的可行性和准确性。以控制授粉的桉树亲本及其杂交F1代材料为对象,每种基因型从各自田间试验分别选取10个单株,采集树冠中上部新鲜健康叶片。用手持式近红外仪Phazir Rx(1624)采集桉树杂交种与其亲本叶片的NIRs信息。每单株选10片完全生理成熟的健康叶片,避开叶脉扫描其正面光谱5次,以50条NIRs信息的均值代表单个叶片的NIRs信息,最终每个基因型获得10条NIRs信息。对原始NIRs采用二阶多项式S.G一阶导数预处理。预处理后的NIRs用于多元统计分析,首先对桉树杂交亲本和子代样本进行主成分分析(PCA),直观展示不同基因型的分类情况。然后运用簇类独立软模式(SIMCA)和偏最小二乘判别分析(PLS-DA)两种有监督的判别模式验证NIRs用于桉树杂交种与其亲本树种的分类判别效果。PCA结果显示,不同的亲本间、杂交种间及杂交种与亲本间样本的主因子得分可以清晰地将各基因型分开。SIMCA模式判别分析中,桉树杂交种样本到亲本PCA模型的样本距离显示,待判别样本能够形成单独的聚类,且能直观反映两者的遗传相似。PLS-DA判别结果显示,桉树杂交亲本的PLS模型能通过预测其杂交子代的响应变量将其与亲本准确分开。结果表明,桉树叶片的NIRs信息可以准确地反映桉树杂交子代遗传信息的传递规律,NIRs判别模型可以准确地将各种基因型予以区分。因此,NIRs信息不仅可用于桉树杂交种和纯种的定性判别,还可以分析桉树基因重组过程中加性遗传效应的大小,从而为桉树遗传基础分析及其育种改良研究提供理论支撑。     

基于Web of Science的河北大学科研论文统计分析

以Web of Science数据库为文献来源，利用文献计量学的方法，从文献年收录量、文献类型、语种、学科分布、作者分布、合作情况、来源期刊和引用情况等方面，对Web of Science收录河北大学2004—2013年的科研论文进行统计分析，结果表明：河北大学近10年来被Web of Science数据库收录的文献数量和被引频次呈现逐年上升的趋势，在化学、物理学、动物学和数学方面具有一定的科研能力和影响力，但同时应注重国际合作交流和文献的质量。     

从作者性别批评视角看简·爱和吕蓓卡的人物形象差异

简·爱与《名利场》中的女主角吕蓓卡是英国维多利亚时期文学中两个具有同样独立反叛意识但被作者赋予不同命运结局的女人。从作者的性别视角去解读这两个传统女性形象的本质差异,能看出男女作者对女性反抗压迫行为的不同理解和价值判断,并能更好地发掘出被别的批评视角忽略或误读的文本内涵。     

“百病生于气”疾病观的针灸临床应用

 “百病生于气”见于《素问·举痛论》，几千年来始终是中医临床认识疾病、防治疾病的重要理论依据之一。对气的含义及气机失调致病的机制进行了梳理，得出了“百病生于气”的基本含义可以概括为气机失调是疾病发生的基本病机的结论，情志因素、精神心理是导致疾病发生的重要内因。分析认为“百病生于气”的理论对于针灸临床有重要指导意义，针灸诊疗过程中应注重“调气”“调神”，这是针灸取得佳效的根本保障。