珠心算开发少儿智力潜能及教育创新研究

珠心算是在珠算基础上创新发展起来的一门新兴学科,是对中华优秀传统珠算文化的继承和弘扬。珠心算具有计算、教育和开智等多元功能。本文重点就珠心算具有开发少儿智力潜能作用进行了论述。对珠心算开智功能的进一步研究,将有可能会对我国乃至整个人类文明进步产生积极影响。     

Coupling of Acoustical Plane p-Wave to a Cased Borehole

Theoretical and numerical study on the coupling acoustic field of the plane p-wave to a cased borehole is carried out. The medium outside the cased borehole is modeled as the porous medium. The scattering field characteristics in the cased borehole are investigated when a plane fast p-wave is incident in tilt to the cased borehole from the porous medium. The scattering fields inside and outside the cased borehole are analyzed and deduced by Biot＇s theory under the boundary conditions on each interface, and they are numerically studied. It is found that the scattering field has strong resonant characteristics and there exists a series of resonant frequencies and peaks. The effects of the frequency, radii of each interface, incident angle, porosity, and other parameters on the resonant acoustic field have been investigated in detail in the fast and slow formations respectively. The resonant characteristics of the scattering field are also analyzed from the physical sense.     

黑洞质量被严重低估

天文学家在窥视银河系附近的一个最大星系的“心脏”时发现,位于其中心的黑洞的质量是之前预测的两到三倍,这也使它成为迄今为止在附近的宇宙中发现的最大黑洞。天文学家在2009年6月8日于加利福尼亚州帕萨迪纳市召开的美国天文学学会半年会上报告了这一发现。它意味着研究人员一直严重低估了附近宇宙中的黑洞质量。     

SOME COMPARISONS BETWEEN GENERALIZED ORDER STATISTICS

Some stochastic comparisons of generalized order statistics under the right spread order,the location independent riskier order and the total time transform order are investigated in this paper.The underlying distributions and parameters on which generalized order statistics are based are also surveyed to obtain the conditions for increasing the expectations of spacings between the first two generalized order statistics and between the last two generalized order statistics.     

《数学研究与评论》征稿简则

一、本刊是综合性数学学术刊物,其宗旨是推进数学研究,评论数学研究,及时报道数学理论成果与应用数学成果。二、本刊主要刊载有关数学的创造性论文、研究简报、研究通讯;国内外数学著作的评论;数学方法论、数理哲学方面的文章。还介绍某些新兴边缘学科的数学研究方法及数学新分支,反映国内外数学工作者提出的未解决问题及国内外重要数学学术研究动态。还辟有综述及专题论述等栏目。     

Effects of self-fields on electron trajectory and gain in planar wiggler free-electron lasers with two-stream and ion-channel guiding

The effects of self-fields on electron trajectories and gain in planar wiggler free-electron lasers with two-stream and ion-channel guiding are investigated. An analysis of the two-stream quasi-steady-state electron trajectories is given by solving the equation of motion in the presence of ion-channel guiding and the planar wiggler. The electron trajectories and the gain are derived. The stability of the trajectories, the characteristics of the linear gain, and the normalized maximum gain are studied numerically. The numerical calculations show that there are eight group trajectories rather than the two groups reported in the absence of the self-fields. It is also shown that the normalized gain group seven （G7） decreases while the rest increases with the increase in normalized ion-channel frequency. The two-stream instability and the self-field lead to a decrease in the maximum gain, except for G7.     

考虑高阶横向剪切正交各向异性板非线性弯曲的微分求积分析

采用微分求积方法（DQ方法）讨论了计及高阶横向剪切的正交各向异性弹性板的非线性弯曲问题．导出了非线性控制方程的DQ形式,利用推广的DQWB技巧处理了高阶矩的边界条件．进一步推广并运用新的分析技术简化了非线性方程的计算．为说明该方法的可靠性和有效性,将考虑剪切变形及不计剪切变形的薄板的数值结果与三维弹性解析解及其它数值解进行了比较,同时研究了数值结果的收敛性,并考察了不同的节点分布对收敛速度的影响A·D2还考察了几何、材料参数及横向剪切效应对正交各向异性板非线性弯曲的影响．分析结果表明横向剪切效应对正交各向异性中厚板的影响是显著的．     

偶氮接枝的聚氨酯薄膜光谱响应特性的实验研究

利用旋涂法，通过接枝共聚的方法制备了具有偶氮侧基的聚氮酯高分子聚合物薄膜。并利用二倍频YAG激光（532nm）作为激发光，白光光源作为参考光，在室温下测试了该薄膜在激发光作用前后的吸收光谱，发现该薄膜在430nm-530nm内有较强的吸收。以及随着激光能量的增大和撤去激发光后，随着无光照时间的延长，360nm与500nm波长处吸收强度的变化趋势。     

A theoretical study about the chirped pulse amplification laser

Starting from the Maxwell‘s equation,and using the resonant-dipole equation together with the multilevel rate equations which take the effects of energy relaxation into consideration,we have derived a more realistic numerical model of the chirped pulse amplification for an ultra-broad band width laser amplifier.Numerical simulations of this model show that both the intensity profile and the energy fluence of the amplified chirped pulse are closely connected with the two relaxation effects:the relaxation of the thermalization among the components of the laser multiplets and the depletion of the lower laser level.The results are valuable for the design of ultra-broad bandwidth chirped pulse amplification lasers.     

杨振宁学术成就——量子不可积相位因子和规范场的积分表示

简要介绍杨振宁的一项重要学术贡献。一般物理学界人士都熟悉杨振宁在现代物理学中的三项伟大贡献：（1）非阿贝尔规范场理论；（2）杨－Baxter方程；（3）弱互作用宇称不守恒。文章介绍的是在这三大贡献之外的一项较少为人知的重要贡献：量子不可积相位因子和规范场的积分表示。