多元插值的Lagrange表达式

本文对于一般的Hermite插值算子的多元扩张算子,给出了线性独立的插值泛函组及相应的Lagrange基本多项式。     

带利率的更新风险模型的破产概率的上界估计

本研究了在常利率条件下普通更新风险模型的破产概率问题．采用一种递推的方法给出了这种情况下破产概率的一个上界估计．     

高分辨率电感耦合等离子体光谱谱线数据库 I.镧、铈、镨、钕、钐

讨论了高分辨率光谱实验的光谱仪参数。在带宽3pm条件下摄取了稀土元素La、Ce、Pr、Nd、Sm的高分辨率ICP光谱,鉴别了240～450mm波长范围内的谱线,估测了强度.观察到一些谱线的复杂物理轮郭。     

抽样调查的设计与分析(Ⅱ)

本文讨论抽样调查实践中有关设计和数据分析中的若干问题．第二部分主要涉及数据处理与统计分析问题．     

一类两个指标的非常系数齐次递推式之解

给出了两个指标的非常系数齐次递堆式的显式解．该解为其系数与初始值的显函数．它为求解组合计数中的有关问题，直接提供了一个具体的计算公式．     

ON A CLASS OF SIMPLE TABLE ALGEBRAS

§1.ＩｎｔｒｏｄｕｃｔｉｏｎＺ.ＡｒａｄａｎｄＨ.Ｂｌａｕｉｎｔｒｏｄｕｃｅｄｉｎ[1]ｔｈｅｃｏｎｃｅｐｔｏｆｔａｂｌｅａｌｇｅｂｒａｓａｎｄｕｓｅｄｔｈｉｓｔｏｄｉｓｃｕｓｓｔｈｅｃｈａｒａｃｔｅｒａｌｇｅｂｒａａｎｄｔｈｅｃｅｎｔｒａｌｃｌａｓｓａｌｇｅｂｒａｏｆａｆｉｎｉｔｅｇｒｏｕｐｉｎａｕｎｉｆｏｒｍｗａｙ.ＴｈｉｓｉｄｅａｇｏｅｓｂａｃｋｔｏＩ.Ｓｃｈｕｒ.ＡｌｉｔｔｌｅｅｘｔｅｎｄｅｄｎｏｔｉｏｎｏｆＣ-ａｌｇｅｂｒａｆｏｒｅｓｈａｄｏｗｅｄｔｈｅｄｅｖｅｌｏｐｍｅｎｔｏｆｃｏｍｍｕｔａ…     

双变量部分theta函数的乘积公式与性质

本文研究一类新的双变量部分theta函数,它是经典部分theta函数的推广,主要围绕这类函数的乘积公式、递推关系、级数展开等性质展开讨论.作为主要结果,我们建立了任意两个双变量部分theta函数的乘积公式,推广了Andrews-Warnaar经典部分theta函数的乘积公式,发现了双变量部分theta函数所满足的二阶递...     

一种可在线更新的PET实时查找表电路的设计与实现

介绍了一种正电子发射断层成像术实时查找表电路。该电路接收符合电路输出的位置信号和能量信号,用查表的方法完成重心法中的除法运算,然后再第二次查表得到该γ光子所入射到的晶格的离散化坐标值和能量阈值,并完成能量甄别以剔除部分散射事件。此外,该电路还结合了呼吸门控和心电门控功能。查找表存储在flash器件中,由CPLD控制读写。本设计的特点是利用硬件电路来完成查找表功能,效率更高,每次事件的查表寻址的延迟时间小于100ns,并且可以在线更新查找表的内容,使用方便。另外,还说明了用CPLD来读写NORflash的方法,以及该电路与系统中其它模块间的数据通信方法。     

Perturbation characteristics of ambient sea noise caused by submerged objects

The perturbation characteristics of ambient sea noise field caused by scattering of submerged objects are discussed theoretically. Based on the sea noise source model with Gaussian-correlation amplitude, and applying the integral expressions for arbitrary source distribution and the spherical wave expression of Green function for a monopole in half-infinite space, the expressions of direct-arrival noise fields, scattering fields and total noise fields of a rigid spherical object under the irradiation of monopole and dipole sources, as well as the covariance among those noise fields at two receiving points are obtained. The numerical results of scattering directional patterns of rigid spherical objects and the visibility are given. It is shown that the total noise field is affected by not only the impedance characteristics of the object, the direction of receiver, but also the correlation between surface sources, and the interference between direct-arrival and scattering fields greatly. The results show that the sound visibility of a rigid spherical object is about 4-5 dB in near range and the scattering directivity characteristics of a rigid spherical object under the irradiation of surface sources are different from those of plane wave incidence.     

Dynamical Behavior of an Atomic Beam Interacting with a Fock State Light Field

The collapse and revival of evolution with photon number of population inversion in the case of an atomic beam with velocity distribution interacting with a single-mode and Fock-state light field is investigated by full quantum theory. Compared to the previously reported coherent state case [Li B and Chen J B Chin. Phys. Lett. 26（2009）123203], which was induced by evolution with coupling strength of population inversion, in the case under consideration there exists Poisson distribution of photon numbers and atomic velocity distribution in the beam. Moreover, we prove that above, the collapse and revival have an analogy with conventional collapse and revival [Eberly J H et al. Phys. Rev. Lett. 44（1980）1323] in both the mathematical expression and physical significance.