Spectrum-Generating Symmetries for the Superpotentials Acot θ and Btanh y

The hierarchy of supersymmetric partner Schrödinger equations for the superpotentials Acot?θ and Btanh?y with A and B as half-integer and negative integer numbers are solved. The number of bound states for given trigonometric and hyperbolic potentials are infinite and finite, respectively. In addition to the spectrum-generating corresponding to the standard supersymmetry which is based on shifting potential parameter, there exist three other different methods for generating the spectrum. The first method is based on supersymmetrizing two given models via infinite and finite number of their bound states. This is realized by the ladder operators which shift only quantum numbers. The second and third methods are based on supersymmetrizing any of the models via all bound states corresponding to hierarchy of their partner potentials. They are respectively realized via simultaneous increasing or decreasing of quantum number and the potential parameter, and also, increasing one of them while decreasing the other. Any of the second and third methods leads to introducing two different classes of the algebraic solutions for both models.     

Analytical evaluation of cylindrical exponential integrals arising in radiative transfer

New analytical results are presented performing to cylindrical exponential integral (CEI) functions for integer and noninteger values of parameter n. These integrals are often employed of two-dimensional radiative transfer in an absorbing-emitting medium and determination of the radiative flux in cylindrical media. The simple and efficient algorithm for the calculation of these functions is developed. The series expansion relations established in this work are accurate enough in the whole range of parameters.     

纤维加强金属基复合材料热机械疲劳模型的研究进展

纤维增强金属基复合材料的热机械疲劳(thermomechanical fatigue 简称TMF)特性的研究在近年受到高度重视.本文根据国内外近期进行的理论研究以及获得的主要成果作一概要介绍.对于热机械循环特性,主要介绍基于细观力学方法的轴向性质模型,以及基于断裂与损伤理论的横向性质模型.对于热机械疲劳性能研究,结合横向性质导出两种热机械疲劳模型,然后分析基体的细观结构对疲劳寿命的影响.      

基于综合监控的设备状态修方案研究

随着工业控制领域的不断发展,综合监控系统已经日趋成熟并于工业现场运行较长时间。而基于综合监控系统获取的大量历史数据的分析和实时数据的使用并没有开展深入的探讨。本方案提出了一种基于综合监控系统的状态修方案,把综合监控系统的历史数据经过一定的清洗,建模导入到大数据平台,通过相应的算法分析,从而改善维修决策模型并建立设备评价体系;把实时数据实时的传递到设备状态页面,减轻了传统巡检工作,保证了设备检查效果;把设备报警数据通过分类,分项,直接派生检修工单,实现了设备维修的自动化。     

正丁醇在N,N-二甲基甲酰胺+水溶液中的体积性质

测定了２９８。１５Ｋ时正丁醇＋Ｎ，Ｎ－二甲诺甲酰胺（ＤＭＦ）＋水三元系的密度求出正丁醇在ＤＭＦ＋水混合溶剂中的表观摩尔体积。观察２到：⑴Φ＾０．Ｅ～ｆｍ与ＶＤＭＦ＾Ｅ～ｆｍ之间存在相似变化关系，其中Φ２＾０．Ｅ为正丁醇的过量无限稀释表观摩尔体积，ＶＥＭＦ＾Ｅ为ＤＭＦ＋水二元系中ＤＭＦ的过量偏摩尔体积，ｆｍ为混合溶剂中ＤＭＦ的摩尔分数。⑵Ｂ１～ｆｍ与０６２１２＾０．Ｅ～ｆｍ之间存的反向变化关系。Ｂ１     

周萘自由基的特殊1H-TRIPLE(电子-核-核三共振)

在295K下,测定了周萘自由基的特殊¹H-TRIPLE谱,探讨了选择抽运频率对摄录此类特殊TRIPLE谱成败的影响.     

The dynamics of asset lifetime under technological change

The variable lifetime of assets is analyzed in a serial replacement problem. Technological change impacts the maintenance cost and new asset cost. The optimal asset lifetime appears to be constant only when both costs decrease with the same rate. We identify cases when the technological change decreases or increases the optimal lifetime.     

A unification of some matrix factorization results

A unification of some factorization results regarding products of positive-definite matrices, commutators, and products of involutions is presented. This topic was first presented by Sourour for fields with, in the latter two classes, sufficiently many elements in terms of the order of the matrix being factored. The current presentation is valid for matrices over any field with at least four elements, and is independent of the order of the matrix being factored.     

Holomorphic Sobolev spaces, Hermite and special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform

The images of Hermite and Laguerre-Sobolev spaces under the Hermite and special Hermite semigroups (respectively) are characterized. These are used to characterize the image of Schwartz class of rapidly decreasing functions f on Rn and Cn under these semigroups. The image of the space of tempered distributions is also considered and a Paley-Wiener theorem for the windowed (short-time) Fourier transform is proved.     

Properties of the solutions of the fourth-order Bessel-type differential equation

The structured Bessel-type functions of arbitrary even-order were introduced by Everitt and Markett in 1994; these functions satisfy linear ordinary differential equations of the same even-order. The differential equations have analytic coefficients and are defined on the whole complex plane with a regular singularity at the origin and an irregular singularity at the point of infinity. They are all natural extensions of the classical second-order Bessel differential equation. Further these differential equations have real-valued coefficients on the positive real half-line of the plane, and can be written in Lagrange symmetric (formally self-adjoint) form. In the fourth-order case, the Lagrange symmetric differential expression generates self-adjoint unbounded operators in certain Hilbert function spaces. These results are recorded in many of the papers here given as references. It is shown in the original paper of 1994 that in this fourth-order case one solution exists which can be represented in terms of the classical Bessel functions of order 0 and 1. The existence of this solution, further aided by computer programs in Maple, led to the existence of a linearly independent basis of solutions of the differential equation. In this paper a new proof of the existence of this solution base is given, on using the advanced theory of special functions in the complex plane. The methods lead to the development of analytical properties of these solutions, in particular the series expansions of all solutions at the regular singularity at the origin of the complex plane.