A two-parameter multiple shooting method and its application to the natural vibrations of non-prismatic multi-segment beams

This paper presents an enhanced version of the standard shooting method that enables problems with two unknown parameters to be solved.A novel approach is applied to the analysis of the natural vibrations of Euler-Bernoulli beams.The proposed algorithm,named as two-parameter multiple shooting method,is a new powerful numerical tool for calculating the natural frequencies and modes of multi-segment prismatic and non-prismatic beams with different boundary conditions.The impact of the axial force and additional point masses is also taken into account.Due to the fact that the method is based directly on the fourth-order ordinary differential equation,the structures do not have to be divided into many small elements to obtain an accurate enough solution,even though the geometry is very complex.To verify the proposed method,three different examples are considered,i.e.,a three-segment non-prismatic beam,a prismatic column subject to non-uniformly distributed compressive loads,and a two-segment beam with an additional point mass.Numerical analyses are carried out with the software MATHEMATICA.The results are compared with the solutions computed by the commercial finite element program SOFiSTiK.Good agreement is achieved,which confirms the correctness and high effectiveness of the formulated algorithm.

基于CFA知识体系的AI+X微专业教学设计与实践

随着金融科技的快速发展,将CFA(特许金融分析师)知识体系与AI(人工智能)技术相结合的微专业教学设计逐渐成为教育领域关注的焦点。2024年1月5日推出的《中国城市数字经济发展报告(2023)》显示,目前我国数字经济规模超过50万亿元,总量稳居世界第二,占GDP比重提升至41.5%,数字经济与实体经济融合愈发紧密。在数字技术快速发展的背景下,培养复合型与应用型人才成为高校培育适应数字经济时代人才的新要求。文章首先介绍CFA知识体系的基本内容,然后详细阐述基于CFA的AI+X微专业教学设计过程,包括教学目标、教学内容、教学方法和教学资源等方面的考虑。通过案例分析,文章进一步展示教学实践的具体操作和效果评估,最后,对实践效果进行反思与展望。

高校应用型人才培养模式的创新——以武汉商学院经济学院CFA国际创新试点班为例

为了适应市场的需求,武汉商学院经济学院于2020年首次开设了“精英计划”——CFA国际创新试点班,旨在通过此试点班对经济与金融专业人才培养模式进行创新,培养与国际接轨的高素质应用型金融人才。

CFA知识体系融入“AI+X”微专业的课程体系建设研究

财经类高校的金融大数据专业是依托自身的经济、金融学科优势,集数学与计算机科学于一体的跨学科专业。然而,金融学专业涉及的学科范围广、课程体系大,在交叉课程设计中会存在课时不足、教学环节分配困难等问题。职业教育的特点之一在于高度浓缩了该门类的知识体系,高效地搭建了其逻辑框架,适合进行“微专业”的建设。鉴于此,文章通过挖掘CFA课程与大数据专业知识点之间的联系,设计了一套将CFA知识点“植入”大数据专业课程的方案,欲为建设跨界能力强、可解决金融行业大数据应用问题的人才培养课程体系提供新思路。

Prestack migration velocity analysis based on simplified two-parameter moveout equation

Stacking velocity V_（C2）,vertical velocity ratio γ_0,effective velocity ratio γ_（eff）,and anisotropic parameter x_（eff） are correlated in the PS-converted-wave（PS-wave） anisotropic prestack Kirchhoff time migration（PKTM） velocity model and are thus difficult to independently determine.We extended the simplified two-parameter（stacking velocity V_（C2） and anisotropic parameter k_（eff）） moveout equation from stacking velocity analysis to PKTM velocity model updating and formed a new four-parameter（stacking velocity V_（C2）,vertical velocity ratio γ_0,effective velocity ratio γ_（eff）,and anisotropic parameter k_（eff）） PS-wave anisotropic PKTM velocity model updating and process flow based on the simplified twoparameter moveout equation.In the proposed method,first,the PS-wave two-parameter stacking velocity is analyzed to obtain the anisotropic PKTM initial velocity and anisotropic parameters;then,the velocity and anisotropic parameters are corrected by analyzing the residual moveout on common imaging point gathers after prestack time migration.The vertical velocity ratio γ_0 of the prestack time migration velocity model is obtained with an appropriate method utilizing the P- and PS-wave stacked sections after level calibration.The initial effective velocity ratio γ_（eff） is calculated using the Thomsen（1999） equation in combination with the P-wave velocity analysis;ultimately,the final velocity model of the effective velocity ratio γ_（eff） is obtained by percentage scanning migration.This method simplifies the PS-wave parameter estimation in high-quality imaging,reduces the uncertainty of multiparameter estimations,and obtains good imaging results in practice.

A GENERAL FORM OF THE INCREMENTS OF A TWO-PARAMETER WIENER PROCESS

In this paper, we consider a general form of the increments for a two-parameter Wiener process. Both the Csorgo-Revesz's increments and a class of the lag increments are the special cases of this general form of increments. Our results imply the theorem that have been given by Csorgo and Revesz (1978), and some of their conditions are removed.

Buckling analysis of shear deformable composite conical shells reinforced by CNTs subjected to combined loading on the two-parameter elastic foundation

The main objective of this study is to investigate the buckling analysis of CCSs reinforced by CNTs subjected to combined loading of hydrostatic pressure and axial compression resting on the twoparameter elastic foundation(T-P-EF).It is one of the first attempts to derive the governing equations of the CCSs reinforced with CNTs,based on a generalized first-order shear deformation shell theory(FSDST)which includes shell-foundation interaction.By adopting the extended mixing rule,the effective material properties of CCSs reinforced by CNTs with linear distributions are approximated by introducing some efficiency parameters.Three carbon nanotube distribution in the matrix,i.e.uniform distribution(U)and V and X-types linear distribution are taken into account.The stability equations are solved by using the Galerkin procedure to determine the combined buckling loads(CBLs)of the structure selected here.The numerical illustrations cover CBLs characteristics of CCSs reinforced by CNTs in the presence of the T-P-EF.Finally,a parametric study is carried out to study the influences of the foundation parameters,the volume fraction of carbon nanotubes and the types of reinforcement on the CBLs.

A New Two-Parameter Heteromorphic Elliptic Equation: Properties and Applications

The ellipse and the superellipse are both planar closed curves with a double axis of symmetry. Here we show the isoconcentration contour of the simplified two-dimensional advection-diffusion equation from a stable line source in the center of a wide river. A new two-parameter heteromorphic elliptic equation with a single axis of symmetry is defined. The values of heights, at the point of the maximum width and that of the centroid of the heteromorphic ellipse, are derived through mathematical analysis. Taking the compression coefficient θ = b/a = 1 as the criterion, the shape classification of H-type, Standard-type and W-type for heteromorphic ellipse have been given. The area formula, the perimeter theorem, and the radius of curvature of heteromorphic ellipses, and the geometric properties of the rotating body are subsequently proposed. An illustrative analysis shows that the inner contour curve of a heteromorphic elliptic tunnel has obvious advantages over the multiple- arc splicing cross section. This work demonstrates that the heteromorphic ellipses have extensive prospects of application in all categories of tunnels, liquid transport tanks, aircraft and submarines, bridges, buildings, furniture, and crafts.

Relation between Fresnel transform of input light field and the two-parameter Radon transform of Wigner function of the field

This paper proves a new theorem on the relationship between optical field Wigner function＇s two-parameter Radon transform and optical Fresnel transform of the field, i.e., when an input field ψ （x＇） propagates through an optical [D （-B） （-C） A] system, the energy density of the output field is equal to the Radon transform of the Wigner function of the input field, where the Radon transform parameters are D, B. It prove this theorem in both spatial-domain and frequency-domain, in the latter case the Radon transform parameters are A, C.

A New Two-Parameter Formula for Rotational Spectra

A new two-parameter formula for the rotational spectra of well deformed nuclei isproposed. The formula is deduced from experimental level systematics and alternatively fromnuclear hydrodynamics. Comparisons with a great number of rotational spectra of even-even nu-clei in rare-earth and actinides region show that the formula is the best one among all two-pa-rameter formulas. It is pointed out that this formula can be applied to the spin assignment forsuperdeformed band.

Description of Rotational Molecular Spectra by the Two-Parameter Universal Equation

The n-power two-parameter universal equation for rotational spectra which we deduced recently is appliedto the description of the rotational bands of several diatomic and tetra-atomic molecules. Excellent agreement withexperimental data can be obtained with small n values. The relation between our equation and the famous Dunhamformula is discussed.

BOUNDARY INTEGRAL EQUATIONS FOR BENDING PROBLEM OF REISSNER'S PLATES ONTWO-PARAMETER FOUNDATION

Two fundamental solutions for bending problem of Reissner's plates on twoparameter foundation are derived by means of Fouier integral transformation of generalized function in this paper.On the basis of virtual work principles, three boundary integral equations which fit for arbitrary shapes, loads and boundary conditions of thick plates are presented according to Hu Haichang's theory about Reissner's plates. It provides the fundamental theories for the application of BEM. A numerical example is given for clamped, simply supported and free boundary conditions. The results obtained are satisfactory as compared with the analytical methods.

ON MODULI OF NON-DIFFERENTIABILITY FOR A TWO-PARAMETER ORNSTEIN-UHLENBECK PRCESS

In the paper, which is a continuation of [2], we establish moduli of non-differentiablity for a two-parameter Ornstein-Uhlenbeck process.

Empirical Bayes Test for Two-parameter Exponential Distribution under Type-Ⅱ Censored Samples

The empirical Bayes test problem is considered for scale parameter of twoparameter exponential distribution under type-II censored data.By using wavelets estimation method,the EB test function is constructed,of which the asymptotic optimality and convergence rates are obtained.Finally,an example concerning the main result is given.

BAYESIAN PREDICTION FOR THE TWO-PARAMETER EXPONENTIAL DISTRIBUTION BASED ON TYPE Ⅱ DOUBLY CENSORING

The two-parameter exponential distribution is proposed to be an underlying model,and prediction bounds for future observations are obtained by using Bayesian approach.Prediction intervals are derived for unobserved lifetimes in one-sample prediction and two-sample prediction based on type Ⅱ doubly censored samples.A numerical example is given to illustrate the procedures,prediction intervals are investigated via Monte Carlo method,and the accuracy of prediction intervals is presented.

CFA8125在聚氨酯自结皮泡沫中的应用研究

采用新型聚氨酯化学发泡剂CFA8125制备了聚氨酯自结皮泡沫,并与水发泡自结皮泡沫进行了对比研究,讨论了发泡剂对泡沫密度、皮层厚度、物理机械性能、阻燃性能、环保性能及工艺性能的影响。结果表明,CFA8125可按照水重量的4倍完全替代水应用于聚氨酯自结皮泡沫中,CFA8125发泡剂制得的泡沫皮层与水发泡相当,泡沫的拉伸强度、撕裂强度、伸长率都比水发泡有所提高,CFA8125可以明显提高泡沫的氧指数;加入CFA8125后,泡沫的TVOC稍有升高,甲醛含量有一定程度的下降。

小柴胡汤对CFA大鼠血清细胞因子TNF-α、IL-1β、IL-6、M-CSF作用的实验研究

目的基于治疗前后完全弗氏佐剂(CFA)大鼠血清细胞因子TNF-α、IL-1β、IL-6、M-CSF的表达,探讨小柴胡汤(XCHT)治疗类风湿关节炎的机制。方法动物实验将SPF级健康成年雌性Wistar大鼠应用弗氏完全佐剂和牛Ⅱ型胶原制备大鼠类风湿关节炎CFA动物模型。根据随机数字表,将大鼠随机分为正常组、模型组、XCHT低剂量组、XCHT中剂量组、XCHT高剂量组、雷公藤多苷组。造模后分别按照药物干预方案, 2 mL/次,日3次灌胃,实验观察大鼠一般状态、关节炎状态及酶联免疫吸附测定大鼠血清中细胞因子TNF-α、IL-1β、IL-6、M-CSF的含量。结果大鼠随着小柴胡汤剂量的增加,一般状态及关节炎状态改善。在血清炎性细胞因子TNF-α、IL-1β、IL-6、M-CSF检测方面,随着小柴胡汤剂量的增大,其表达逐渐降低,与模型组比较,小柴胡汤中及高剂量统计结果显示P<0.01,降低很显著。结论本研究显示小柴胡汤随着剂量的增加,可以改善CFA大鼠的一般状态及关节炎状态。小柴胡汤能够通过抑制炎性细胞因子TNF-α、IL-1β、IL-6、M-CSF的表达,抑制炎症反应,从而延缓骨破坏,为中药方剂治疗类风湿关节炎提供基础实验依据。

基于PPP模式下大型体育场馆契约治理内外部机制的CFA模型构建与验证性研究

基于扎根理论和问卷调查法进行数据收集,以SEM结构方程为理论基础,构建契约治理内外部机制的CFA模型,利用SPSS23.0\AMOS21.0做验证性因子分析。结果显示:内部机制如属性识别机制、所有权配置机制、融资风险分担机制、报酬激励约束机制和运营管理机制等各维度因子负载显著大于0,且临界值C.R.都大于2.58(α=0.01);一阶组合信度均大于0.61、二阶为0.884,一阶AVE平均方差提取量大于0.58,其平方根大于相关系数值且二阶AVE为0.609。外部机制如绩效评价机制、信誉选择机制和监督问责机制的因子载荷显著大于0,且临界值C.R.都大于2.58(α=0.01);一阶组合信度均大于0.61,二阶为0.834,AVE平均方差提取量均值大于0.58,其平方根大于相关系数值且二阶AVE为0.634,均可以进行一阶、二阶CFA模型因子分析。因此,通过PPP模式下大型体育场馆契约治理内外部机制的路径关联和CFA模型构建,可更科学合理地进行公共体育服务设施的治理,使政府部门和社会部门在契约治理下制度化、规范化。

NKT细胞在CFA促进的Th1型免疫应答中的作用

为探索CFA促进小鼠对蛋白质抗原产生Th1介导的特异性免疫应答的机制 ,我们用OVA +CFA和OVA +IFA免疫C5 7BL/6小鼠 ,并于第 3天、第 8天后用MACS +FACS法分离引流淋巴结中NKT细胞 ,在体外经CD3单抗刺激 2d后测定其分泌的细胞因子数量及格局。同时于免疫后第 8天分离引流淋巴结抗原特异性T细胞 ,测定其分泌细胞因子的格局 ;并于再次免疫后 2周检测小鼠血清抗体类型。ELISA结果显示 ,与OVA +IFA组相比 ,OVA +CFA免疫小鼠引流淋巴结NKT细胞和抗原特异性T细胞分泌IFN γ的能力均显著升高 (P <0 0 5 ) ,且血清抗体类型以IgG2a为主。表明CFA促进抗原特异性Th0细胞极化为Th1细胞可能是通过激活NKT细胞使之在免疫应答局部产生大量的IFN

CFA图像实时插值在FPGA上的应用

彩色滤波阵列(CFA)格式的图像需要进行图像插值,才能获得全彩色图像。但是,对CFA图像进行色彩还原选用算法越复杂,插值产生的图像质量越高,但复杂的算法,较长的处理时间不便于硬件实现,为实时处理带来不便。文章介绍了双线性插值法和边缘定向插值法两种色彩还原算法,并用硬件平台FPGA实现了双线性插值方法和基于边缘定向的方法,并用黑白条纹图对两种还原方法进行了比较分析,基于边缘定向的插值方法考虑了边缘的方向,防止跨越边界插值,因此插值效果优于双线性插值法,虽然算法复杂一些,但是合理设计FPGA的缓存模块,采用并行流水的处理方式,完全满足工程对实时性的要求。