Electrical and nonlinear optical studies of flux grown Mo and Fe doped KTP crystals

The molybdenum (Mo) and ferric (Fe) doped potassium titanyl phosphate (KTP) crystals were grown by high temperature solution growth (HTSG) technique. The concentration of Mo and Fe in grown crystals was measured by EDX analysis. The SHG efficiencies of the Mo and Fe doped KTP crystals were measured and it was found to be 1.77 and 1.38 times respectively higher than that of pure KTP crystal. The frequency dependence of dielectric constant, loss and ac conductivity was studied at room temperature. The phase matching measurements were made using a Q-switched Nd:YAG laser operating at 1064 nm and the measured phase matching angles are 44.2° and 87.88° for Mo and Fe doped KTP crystals respectively.     

Bounded list injective homomorphism for comparative analysis of protein–protein interaction graphs

Comparing genomic properties of multiple species at varying evolutionary distances is a powerful approach for studying biological and evolutionary principles. In the context of comparative analysis of protein–protein interaction graphs, we use a graph-based formalism to detect the preservation of a given protein complex. We show that the problem is polynomial-time solvable provided that each protein has at most two orthologs in the other species, but is hard for three. Also, we suggest ways to cope with hardness by proposing three translations of the problem into well-known combinatorial optimization problems, thereby allowing the use of many recent results in fast exponential-time algorithms. Motivated by the need for more accurate models, we conclude by giving and discussing three natural extensions of the problem.     

模式选择阀开度对变循环压缩系统匹配的影响

对双外涵变循环压缩系统进行了建模和全三维数值模拟,分析了模式转换过程中第二外涵道倒流对系统气动性能及部件匹配规律的影响。随着倒流流量的增大,变循环压缩系统的第一外涵道比和总涵道比提高,风扇总压比升高,CDFS与高压压气机的总压比降低。倒流主要影响风扇后面级的气动性能。倒流导致CDFS进口流场发生畸变,CDFS下游第一分流环局部流场严重恶化,应及时调节系统控制参数防止压缩系统失效。     

一个新的Ky Fan匹配定理及其在L-凸度量空间中的应用

建立了转移开覆盖的一个新的Ky Fan型匹配定理．作为应用，获得了Fan-Browder重合定理，不动点定理、极大元定理，相交定理和截口定理．     

A study of reduced‐order 4DVAR with a finite element shallow water model

Four‐dimensional variational data assimilation (4DVAR) is frequently used to improve model forecasting skills. This method improves a model consistency with available data by minimizing a cost function measuring the model–data misfit with respect to some model inputs and parameters. Associated with this type of method, however, are difficulties related to the coding of the adjoint model, which is needed to compute the gradient of the 4DVAR cost function. Proper orthogonal decomposition (POD) is a model reduction method that can be used to approximate the gradient calculation in 4DVAR. In this work, two ways of using POD in 4DVAR are presented, namely model‐reduced 4DVAR and reduced adjoint 4DVAR (RA‐4DVAR). Both techniques employ POD to obtain a reduced‐order approximation of the forward linear tangent operator. The difference between the two methods lies in the treatment of the forward model. Model‐reduced 4DVAR performs minimization entirely in the POD‐reduced space, thereby achieving very low computational costs, but sacrificing accuracy of the end result. On the other hand, the RA‐4DVAR uses POD to approximate only the adjoint model. The main contribution of this study is a comparative performance analysis of these 4DVAR methodologies on a nonlinear finite element shallow water model. The sensitivity of the methods to perturbations in observations and the number of observation points is examined. The results from twin experiments suggest that the RA‐4DVAR method is easy to implement and computationally efficient and provides a robust approach for achieving reasonable results in the context of variational data assimilation. Copyright © 2015 John Wiley & Sons, Ltd.     

小直径图的导出匹配覆盖

设G是一个图,而M1,M2,…,Mk是G的k个导出匹配.称{M1,M2,…,Mk}是图G的一个k-导出匹配覆盖,若V(M1)∪V(M2)∪…∪V(Mk)=V(G).k-导出匹配覆盖问题是指对任一个给定的图G是否存在一个k-导出匹配覆盖.这篇文章证明了:直径为6的图的2-导出匹配覆盖问题和直径为2的图的3-导出匹配覆盖问题是NP-完备的,直径为2的图的2-导出匹配覆盖问题多项式可解.     

基于特征曲线和曲面匹配的弹痕自动比对方案

提出了消除测量误差的两套方案:基于特征曲线提取的方案和基于曲面匹配的方案.建立了中心重合法、近似法矢重合法与多点预定位法相结合的曲面匹配模型;讨论并给出了用于弹痕比对的六个差异度衡量指标;建立了弹痕及弹头相似度模型;给出了方案的有效性评价体系;最后,对一组实际的弹痕数据,进行有效性验证,取得了较高的正确率.     

广义L-KKM定理及其应用

引入广义L-KKM映射的概念,它包含R-KKM映射,G-KKM映射,H-KKM映射为其特例.在具有(H)性质的拓扑空间中证明了一些新的广义L-KKM型定理,并进一步获得了关于开覆盖的匹配定理.作为广义L-KKM型定理应用,证明了非空交定理.     

PT-对称算子的表示及非正交量子态的区分

经典量子系统中的哈密尔顿为自伴算子，这不仅保证了系统能量本征值全部为实数，而且相应的本征态（单位长度的特征向量）构成了状态空间的一组正规正交基.然而存在一类PT-对称的物理系统，哈密尔顿的自伴性（共轭转置）被物理的PT-对称性所代替.一个完整的PT-对称哈密尔顿，其谱全部为实数且能构造一个合理的CPT-内积.本文研究一类PT-对称算子.固定时间反演算子T，得到宇称算子P的矩阵表示，进而给出每一组PT-对称哈密尔顿的具体表示形式.作为应用，选择一组确定的{P，T}算子，及PT-对称的哈密尔顿，给出两个在传统量子力学中不正交的量子态区分的刻画.     

用线性取余变换造正交拉丁方和幻方

本文利用线性取余变换造正交拉丁方、幻方和泛对角线幻方。文［１］造奇数阶正交拉丁方的方法，文［２］的方法都本文方法的特例。