On a novel expression of the field scattered by an arbitrary constant impedance plane

The electromagnetic field scattered by an impedance plane is generally given by its plane wave expansion (Fourier representation). Here we derive an alternative expression which is more suitable for point source illumination. For this, we consider an original expression of the Hertz potentials for the incident field and express the scattered potentials in a novel form. A special function then involved can be expressed in an integral which is in turn expanded in a convergent series. The expression presented also permits us to express complete asymptotics. Our development considers an arbitrary impedance, passive or active.     

On a mixed Kernel Hilbert‐type integral inequality and its operator expressions with norm

By using some real analysis techniques, we study the structural characteristics of a multi‐parameter Hilbert‐type integral inequality with the hybrid kernel and obtain some equivalent conditions for this inequality. We also consider the operator expression of the equivalent inequalities. The conclusions not only integrate some results of references but also find some new Hilbert‐type integral inequalities with simple form by choosing suitable parameter values.     

复合X光激光中复合阶段拉氏点的特性

给出了拉氏点在进入Ne/Te增益目标区域后,其电子密度、电子温度、裸核布居概率、类H离子2–1线逃逸概率和增益随时间变化的近似估计式,以及拉氏点进入Ne/Te增益目标区域的时间tg与电子温度Teg必须满足的关系。     

有限长密绕圆柱形螺线管自感系数的精确表达式

对于有限长密绕圆柱形螺线管,首先用贝塞尔函数展开法推导出自感系数的积分形式的表达式,然后用直接积分的方法得出两个级数形式的自感系数表达式,最后对这两个表达式作了简要的分析与比较.     

大学物理实验数据处理系统

本文用C#编写了“大学物理实验数据处理系统”软件,该软件包含：坏值的剔除、A类和B类不确定度的计算、实验结果的综合评定、曲线的拟合及显示等。该软件有助于学生处理物理实验数据,加深对实验的理解。     

层叠Blumlein线产生电压波的解析解

采用Laplace变换的方法求解了无损耗情况下层叠Blumlein线输出电压的解析表达式。从传输线两端口网络模型出发,分别求出了负载端短路和开路时传输线特征阻抗的频域表达式。简化了单Blumlein线电路结构,并求出了其输出电压的解析表达式。在此基础上,结合电路叠加原理,求解出了典型的2级层叠Blumlein线输出电压的时域解析表达式。采用递推法,推广得到任意级数情况下的输出电压波解析解。     

Cancer Segmentation by Entropic Analysis of Ordered Gene Expression Profiles

The availability of massive gene expression data has been challenging in terms of how to cure, process, and extract useful information. Here, we describe the use of entropic measures as discriminating criteria in cancer using the whole data set of gene expression levels. These methods were applied in classifying samples between tumor and normal type for 13 types of tumors with a high success ratio. Using gene expression, ordered by pathways, results in complexity–entropy diagrams. The map allows the clustering of the tumor and normal types samples, with a high success rate for nine of the thirteen, studied cancer types. Further analysis using information distance also shows good discriminating behavior, but, more importantly, allows for discriminating between cancer types. Together, our results allow the classification of tissues without the need to identify relevant genes or impose a particular cancer model. The used procedure can be extended to classification problems beyond the reported results.     

“由行动而生出情感”：杜威美学表现观解读

杜威拒绝接受传统美学表现论,反对在主体精神世界中寻求审美与艺术表现的奥秘,而是把视线转向现实的自然与人之生活,从作为“活的生物”的人与自然的长期的、动态的相互作用出发,提出生存论路向的美学表现观。杜威强调艺术表现首先是人在环境之中的一种行动,是对情境的积极回应,是当下的感觉激发了来自先前经验的态度与意义、新旧相互作用后产生的应变量。作为表现行动的结果,是借助媒介创造了一个新的经验,使得那些原先沉默的、未成熟发展的对象的意义得到了澄清与浓缩。杜威艺术表现观以行动中心论取代了流行的表现主义美学的情感中心论。审美情感不是先行存在的某种神秘实体,而是由情境所暗示,由行动而生出,由天然情感经变化而成。杜威更从社会心理学层面,揭示出表现打破了将人与人隔开的障碍,是一种积极的、建构性的社会文化改造力量。     

非傍轴矢量高斯光束的光强表示

基于瑞利-索末菲衍射积分,未使用任何近似,对非傍轴矢量光束的两种光强表示式,即传统光强公式和时间平均坡印廷矢量的z分量进行了研究。对非傍轴矢量高斯光束详细数值计算结果的比较表明,两种表示式之间的差异,即两者的相对误差与束腰宽度及传输距离和波长的比值有关。对非傍轴矢量高斯光束,若传输距离与波长的比值为10,束腰宽度与波长的比值大于等于0.8,则最大相对误差不到1.5%。因此,传统光强公式是可用的。