Zeta Functions of the Complement and xyz-Transformations of a Regular Graph

Let Z(λ,G)denote the zeta function of a graph G.In this paper the complement G^Cand the G^(xyz)-transformation G^(xyz)of an r-regular graph G with n vertices and m edges for x,y,z∈{0,1,+,-},are considerd.The relationship between Z(λ,G)and Z(λ,G^C)is obtained.For all x,y,z∈{0,1,+,-},the explicit formulas for the reciprocal of Z(λ,G^(xyz))in terms of r,m,n and the characteristic polynomial of G are obtained.Due to limited space,only the expressions for G^(xyz)with z=0,and xyz∈{0++,+++,1+-}are presented here.

A Regularization Method for Approximating the Inverse Laplace Transform

A new method for approximating the inerse Laplace transform is presented. We first change our Laplace transform equation into a convolution type integral equation, where Tikhonov regularization techniques and the Fourier transformation are easily applied. We finally obtain a regularized approximation to the inverse Laplace transform as finite sum

Laplacian Energies of Regular Graph Transformations

Let LE(G) denote the Laplacian energy of a graph G. In this paper the xyz-transformations G^(xyz) of an r-regular graph G for x,y,z∈{0,1, +,-} are considered. The explicit formulas of LE(G^(xyz)) are presented in terms of r,the number of vertices of G for any positive integer r and x,y,z∈{ 0,1},and also for r = 2 and all x,y,z∈{0,1,+,-}. Some Laplacian equienergetic pairs of G^(xyz) for r = 2 and x,y,z∈{0,1, +,-} are obtained. This also provides several ways to construct infinitely many pairs of Laplacian equienergetic graphs.

Asymptotics for Nonlinear Transformations of Fractionally Integrated Time Series

The asymptotic theory for nonlinear transformations of fractionally integrated time series is developed. By the use of fractional Occupation Times Formula, various nonlinear functions of fractionally integrated series such as ARFIMA time series are studied, and the asymptotic distributions of the sample moments of such functions are obtained and analyzed. The transformations considered in this paper includes a variety of functions such as regular functions, integrable functions and asymptotically homogeneous functions that are often used in practical nonlinear econometric analysis. It is shown that the asymptotic theory of nonlinear transformations of original and normalized fractionally integrated processes is diffent from that of fractionally integrated processes, but is similar to the asymptotic theory of nonlinear transformations of integrated processes.

CONVERGENCE ANALYSIS OF THE LOPING OS-EM ITERATIVE VERSION OF THE CIRCULAR RADON TRANSFORM

The loping OS-EM iteration is a numerically efficient regularization method for solving ill-posed problems. In this article we investigate the loping OS-EM iterative method in connection with the circular Radon transform. We show that the proposed method converges weakly for the noisy data. Numerical tests are presented for a linear problem related to photoacoustic tomography.

青虾transformer-2基因RNA干扰规律的研究

通过对青虾性别调控相关基因transformer-2(tra-2)的RNA干扰规律进行研究,探讨了tra-2基因RNA干扰的最适注射部位、注射剂量、干扰效果以及干扰规律等。通过对青虾肌肉、心脏、围心腔和眼柄基部注射比较发现,围心腔注射死亡率最低,适宜RNA干扰研究。采用4μg/g的dsRNA剂量进行时间依赖性干扰试验,RT-PCR检验注射后第1,7,14天的卵巢tra-2表达量,结果显示第7天基因表达量出现显著降低(P<0.05)。不同剂量水平(0.4μg/g、4μg/g以及12μg/g)干扰研究发现,0.4μg/g dsRNA没有干扰结果,4μg/g和12μg/g剂量的干扰效果均显著。与4μg/g的剂量相比,12μg/g的dsRNA能在较短时间内起到明显的干扰效果,且能持续较长的时间,表明干扰规律会随着剂量的改变而变化。但两组tra-2的最低表达量分别为正常水平的23%和21%,无显著差异(P>0.05)。

Thermodynamic analysis of β → α(α_2) phase transformation temperature in a Ti-Al-H alloy system

The T0 face equation of a Ti-Al-H alloy system was set up by the regular solution model,and the relationship between the β phase stabilizing parameter of hydrogen and the equilibrium phase compositions was attained.According to the T0 face equation and the thermodynamic parameters from literature,the effect of hydrogen on the β→α（α2） transformation temperature was evaluated.The calculated results were in a better consistence with the measured ones.

Numerical Solutions of the Regularized Long-Wave (RLW) Equation Using New Modification of Laplace-Decomposition Method

In this paper the new modification of Laplace Adomian decomposition method (ADM) to obtain numerical solution of the regularized long-wave (RLW) equation is presented. The performance of the method is illustrated by solving two test examples of the problem. To see the accuracy of the method, L2 and L∞ error norms are calculated.

Method for Caution Values Calculation of Dissolved Gases in Transformers Based on Statistical Distribution and Correlation Analysis

Before diagnosed by DGA (dissolved gas analysis) methods, gas caution values, which index the level of gas formation, must be used to evaluate the possibility of incipient faults to reduce the misdiagnosis in the normal state. However, the calculation of these values is now only based on cumulative percentile method without taking into account operating conditions. To overcome this disadvantage, a new approach to calculate the transformer caution values is presented. This approach is based on statistical distribution and correlation analysis, and it takes the individual variation and fluctuation caused by internal and external factors into consideration. Then 6550 transformer DGA data collected from North China Power Grid are analyzed in this paper. The results show that the volume fraction of TH (total hydrocarbon) approximately obeys normal distribution when the 3-sigma rule is used to calculate its caution value. The volume fraction of CO has a strong positive correlation with oil temperature. For H2, the negative correlation with oil temperature is significant when the volume fraction is not very low. The caution value curves for CO and H2 are obtained by regression analyses. Thus, the gas caution values/curves obtained using the new method are not always constant, but vary with oil temperature, which is an advantage of the proposed method compared with cumulative percentile method. The variation of gas caution values/curves also reflects the influence of the external factors, for instance, va- rying with monitoring time ensures that the gas caution values are always consistent with operating status.

Experiments on Transformation and Run-Up of Wave Trains

This paper. details experiments undertaken in the UK Coastal Research Facility (CRF)at Hy draulies Research (HR), Wallingford, on transformation and run-up of wave trains. The purpose of these experiments is to provide verification data for numerical models of wave transformation in shoaling. surf and swash zones. This is the kind of data ih:lt flume experiments are unable to provide, and is collected in the highly controlled environment of CRF where extrinsic factors present in the field are not an issue. The experiments concerning wave trains are undertaken by use of existing wave generation software, and the run-up measurements are made with large experimental run-up gauges.

保持等价关系的变换半群的一些结果

给出了保持等价关系的变换半群上的格林关系L,R,H和格林*-关系L^(*),R^(*),H^(*)相容的充要条件,刻画了这类半群的左(右,完全)正则性,得到了这类半群的全体幂等元(正则元,富足元)构成子半群的等价描述.

A Study of the Elastodynamic Problem by Meshless Local Petrov-Galerkin Method Using the Laplace-Transform

The Meshless Local Petrov-Galerkin (MLPG) with Laplace transform is used for solving partial differential equation. Local weak form is developed using the weighted residual method locally from the dynamic partial differential equation and using the moving least square (MLS) method to construct shape function. This method is a more effective alternative than the finite element method for computer modelling and simulation of problems in engineering;however, the accuracy of the present method depends on a number of parameters deriving from local weak form and different subdomains. In this paper, the meshless local Petrov-Galerkin (MLPG) formulation is proposed for forced vibration analysis. First, the results are presented for different values of as, and aq?with regular distribution of nodes nt=55. After, the results are presented with fixed values of?as?and aq?for different time-step.

基于自然语言句法信息的正则表达式生成

正则表达式由一系列字符和元字符组成,定义了一种匹配规则,可以用来检查一个字符串是否与所需的模式匹配。在软件开发过程中,很多开发人员发现编写正则表达式较为困难。因此,根据自然语言需求描述生成正则表达式成为研究热点。近年来,将自然语言描述转化为正则表达式的系统取得了一些研究成果,但往往只针对简单的序列化文本。探讨了将自然语言查询转化为可以执行其功能的正则表达式的方法。鉴于自然语言处理中句法解析的成功应用,模型使用自然语言的结构信息,以分层聚合的方式对语法解析树进行嵌入,并使用适用于输入树结构的Tree-transformer架构对自然语言描述进行自注意编码。解码器使用交叉注意力来预测正则表达式。在两个公共数据集上对模型进行了验证。实验证明,所提模型有效地提高了生成的正则表达式的质量,并在DFA-Equal-Acc评估指标中优于现有模型。

稀疏分解和图拉普拉斯正则化的图像前景背景分割方法

针对现有图像前景背景分割方法的分割结果存在孤立像素点的问题,利用图信号处理理论和稀疏分解模型,提出新的图像前景背景分割方法.将图像的内在结构建模为图,通过图模型有效地刻画像素之间的内在关联性.将图像的像素强度建模为图信号,其中图像背景作为平滑分量,由一组图傅里叶变换基函数线性表示,叠加在背景上的前景为稀疏分量,前景像素间的连通性可由图拉普拉斯正则化项进行刻画.将图像前景背景分割问题归结为包含稀疏分解模型和图拉普拉斯正则化项的约束优化问题,采用交替方向乘子法对该优化问题进行求解.实验结果表明,与现有的其他方法相比,所提方法具有更好的分割效果.

基于L_(1/2)正则化的抛物线Radon变换多次波压制方法

在地震数据处理中,多次波的存在会对地震数据成像和地震资料解释带来影响,如何有效地压制多次波干扰是地震勘探中的重要问题。抛物线Radon变换因其高效的特点被广泛应用于多次波压制中,但在野外地震数据采集时,炮检距的有限性会导致变换域中的能量扩散,产生假象,使多次波压制达不到理想的效果。针对此问题,提出一种基于L_(1/2)正则化的稀疏反演高分辨抛物线Radon变换,并应用广义迭代收缩算法(generalized iterated shrinkage algorithm,GISA)进行求解。研究结果表明,L_(1/2)正则化有很强的稀疏约束能力,能提高解的稀疏度,改进信噪分离的效果。与最小二乘反演和基于L_(1)正则化的稀疏反演相比,基于L_(1/2)正则化的稀疏反演高分辨抛物线Radon变换能更有效地压制多次波,并确保了重构数据与原始数据的一致性。

与弱正则高原平衡函数相关的线性码

运用两个弱正则高原平衡函数,设计适当的定义集,构造基于定义集的多种线性码.利用Walsh变换与指数和的性质确定线性码的重量分布.这些线性码都具有较少的非零重量,可应用于秘密共享方案和结合方案等领域.

先验岩石物性约束的地球物理正则化反演

随着勘探程度的深入,可用于正则化反演的先验信息越来越丰富和精确。在分析参数变换函数、模糊C均值聚类模型约束、交替方向乘子优化等引入岩石先验物性约束方法的基础上,提出了一种基于反演单元物性互异原则的模型约束方法。基于单元互异原则的模型约束从地质单元数量有限、每个离散反演单元只能属于某一种岩性的本质出发,通过限定离散反演单元的物性取值实现物性引入。将上述先验物性引入与经典正则化反演相结合,构建了统一的目标函数并通过高斯—牛顿法进行优化求解;对四种方案实现岩石物性引入的作用机理和数学本质进行了分析,提出了同时利用多种方案提高反演效果的组合策略;对比了L1和L2范数最小结构模型约束与先验岩石物性引入策略结合的反演效果。模型和实测数据反演结果均表明,充分利用岩石物性测量的先验信息可有效提高反演效果。

半群Р_(n)(r)的正则性

设Р_(n)是X_(n)={1,2,…,n}上的部分变换半群,对任意1≤r≤n-1,记X_(r)={1,…,r},令Р_(n)(r)={α∈Р_(n):X_(r)■dom(α),X_(r)α?X_(r)},则Р_(n)(r)是Р_(n)的子半群。考虑了半群Р_(n)(r)的正则元、左正则元、右正则元,以及这些元素之间的关系。此外,给出Р_(n)(r)是正则半群、左正则半群和右正则半群的充要条件。

有限递减变换半群的商半群的一个注记

令Sing n为X n={1,2,…,n}上的奇异变换半群,令S-n={α∈Sing n|xα≤x,x∈X n},这里1<2<…<n.本文得到富足半群S-n的一类同余ρ,其商半群S-n/ρ非正则且既不左富足也不右富足.

从发展向度看新时代文艺创作的理论与实践

在中西文化碰撞中反思中国文化,必须更加重视文化传统中的优秀内质和优秀传统文化,更加重视其中蕴含着的生命性、血脉性、基因性、恒久性、文明性、人类性、世界性、现代性。必须高度重视文化间的重要属性:文化与文化的类型差异和异同问题,即文化的个性与共性及其相异相同的贯穿性问题。在中国人民站起来、富起来、强起来的今天,文化自信是我们这个时代的骨气、志气和底气。习近平总书记提出的“中华优秀传统文化创造性转化、创新性发展”的理念,是我们解答这个时代命题的科学方法论。由于文艺的形象性、可视性、独创性、审美性,整个中国的形象正在伟大的文明重塑和再现之中,展现出中国式现代化进程中的中华民族现代文明的美学风范。