水平层状横向同性地层中频率测深资料全参数快速迭代反演

提出水平层状横向同性地层中频率测深资料的全参数快速迭代反演算法,以便从测量资料中同时确定各个地层的横向、 纵向电导率及层界面深度.首先,利用水平层状介质中电磁场并矢Green函数在频率波数域中的解析解和Sommerfeld积分的 快速计算技术确定正演响应.然后,利用摄动理论和Fourier逆变换公式,研究建立一套快速求解全参数Fréchet导数的 有效算法,并利用规范化处理和奇异值分解技术给出迭代反演过程.最后,给出数值试验证明反演理论的有效性以及反演算法 的抗噪声能力.     

A prefix array for parameterized strings

A parameterized string (p-string) is a generalization of the traditional string over two alphabets: a constant alphabet and a parameter alphabet. A parameterized match (p-match) exists between two p-strings if the constants match exactly and if there exists a bijection between the parameter symbols. Historically, p-strings have been leveraged for source code cloning, plagiarism detection, and biological sequence structural similarity. In this work, we identify the connection between the p-match and music, one of several applications to motivate our study of holes in p-strings, and prefix array-based data structures for p-strings. First, we introduce the parameterized prefix array (pPA) for p-strings and its succinct representation, the compact parameterized prefix array (cpPA). We show an interesting construction of the cpPA via the parameterized longest previous factor (pLPF), a more recently proposed array with connections to various pattern matching data structures and LZ factorization. Next, we introduce the parameterized string with holes (hp-string), needed to address a special form of indeterminate pattern matching with p-strings. Then, we show how to construct the compact prefix array for hp-strings. Finally, we discuss applications for our data structures.     

Post-post-Newtonian deflection of light ray multiple systems with PPN parameters

The post-Newtonian scheme in multiple systems with post-Newtonian parameters presented by Klioner and Soffel is extended to the post-post-Newtonian （PPN） order for light propagation problem in the solar system. Under considering the solar system experiment requirement, a new parameter ε is introduced. This extension does not change the virtue of the scheme on the linear partial differential equations of the potential and vector potential mentioned in previous work. Furthermore, this extension is based on the former work done by Richter and Matzner in one global system theory. As an application, we also consider the deflection of light ray in the global coordinates. And the deflection angle of light ray is obtained with post-Newtonian parameters.     

The simplest parametrized normal forms of Hopf and generalized Hopf bifurcations

This paper considers the computation of the simplest parameterized normal forms (SPNF) of Hopf and generalized Hopf bifurcations. Although the notion of the simplest normal form has been studied for more than two decades, most of the efforts have been spent on the systems that do not involve perturbation parameters due to the restriction of the computational complexity. Very recently, two singularities – single zero and Hopf bifurcation – have been investigated, and the SPNFs for these two cases have been obtained. This paper extends a recently developed method for Hopf bifurcation to compute the SPNF of generalized Hopf bifurcations. The attention is focused on a codimension-2 generalized Hopf bifurcation. It is shown that the SPNF cannot be obtained by using only a near-identity transformation. Additional transformations such as time and parameter rescaling are further introduced. Moreover, an efficient recursive formula is presented for computing the SPNF. Examples are given to demonstrate the applicability of the new method.     

一类不确定非线性系统的适应输出反馈控制

针对一类存在有界干扰的线性参数化非线性系统，给出了一种新的适应输出反馈控制器．该控制器能保证闭环控制系统所有信号的全局有界性．该文将现有的非线性适应输出反馈控制方面的结果，从无扰动情形推广到了存在有界干扰的情形．仿真结果用来说明所设计控制器的有效性．     

Hypersingular parameterized Marcinkiewicz integrals with variable kernels on Sobolev and Hardy-Sobolev spaces

Let α≥ 0 and 0 〈 ρ ≤ n/2, the boundedness of hypersingular parameterized Marcinkiewicz integrals μΩ,α^ρ with variable kernels on Sobolev spaces Lα^ρ and HardySobolev spaces Hα^ρ is established.     

三维两粒子Calogero-Sutherland模型的代数解法

利用赝角动量算符方法给出了三维两粒子CSM的算符体系,研究了三维两粒子CSM谱空间上的对称性.得到归一化的本征函数和Glauber相干态的解析表达式.     

Variational equations for the eigenvalues and eigenvectors of nonsymmetric matrices

The tracking of eigenvalues and eigenvectors for parameterized matrices is of major importance in optimization and stability problems. In the present paper, we consider a one-parameter family of matrices with distinct eigenvalues. A complete system of differential equations is developed for both the eigenvalues and the right and left eigenvectors. The computational feasibility of the differential system is demonstrated by means of a numerical example.The work of R. Kalaba and L. Tesfatsion was partially supported by the National Science Foundation under Grant No. ENG-77-28432 and by the National Institutes of Health under Grant No. GM-23732-03.     

基于综合非线性优化方法的倒张型悬索桥非线性优化设计

提出随机优化、零阶优化和一阶优化相结合的综合非线性优化方法,并通过对ANSYS程序的二次开发编制全面优化设计和非线性有限元分析的综合辅助程序,从而对倒张型悬索桥进行非线性优化设计,以更合理地确定倒张型悬索桥设计中的关键因素,最终使倒张型悬索桥的受力和变形达到均匀合理的状态,以利于实际工程设计和应用.从优化设计前后的对比可以看出,本文的综合非线性优化方法和综合辅助程序简单有效,优化的效果显著.     

New Parameterized Inequalities for η-Quasiconvex Functions via (p,q)-Calculus

In this work, first, we consider novel parameterized identities for the left and right part of the (p,q)-analogue of Hermite–Hadamard inequality. Second, using these new parameterized identities, we give new parameterized (p,q)-trapezoid and parameterized (p,q)-midpoint type integral inequalities via η-quasiconvex function. By changing values of parameter μ∈[0,1], some new special cases from the main results are obtained and some known results are recaptured as well. Finally, at the end, an application to special means is given as well. This new research has the potential to establish new boundaries in comparative literature and some well-known implications. From an application perspective, the proposed research on the η-quasiconvex function has interesting results that illustrate the applicability and superiority of the results obtained.