The tangential k-Cauchy-Fueter type operator and Penrose type integral formula on the generalized complex Heisenberg group

The tangential k-Cauchy-Fueter operator and k-CF functions are counterparts of the tangential Cauchy–Riemann operator and CR functions on the Heisenberg group in the theory of several complex variables,respectively.In this paper,we introduce a Lie group that the Heisenberg group can be imbedded into and call it generalized complex Heisenberg.We investigate quaternionic analysis on the generalized complex Heisenberg.We also give the Penrose integral formula for k-CF functions and construct the tangential k-Cauchy-Fueter complex.

HIGHER ORDER SINGULAR INTEGRAL EQUATIONS ON COMPLEX HYPERSPHERE

A theory of a class of higher order singular integral under the operator （L f） （u） =[u1 σf/σu1（u） - u1σf/σu1（u） ＋ f（u）] is given. We transform the higher order singular integral to a usual Cauchy integral, extend the permutation formula of the higher order singular integral deduced by Qian and Zhong in [4] to a general case, and discuss the regularization problem of the higher order singular integral equations with Cauchy kernel and variable coefficients on complex hypersphere.

Synthesis of Heat Integrated Complex Distillation Systems via Stochastic Optimization Approaches

This paper addresses the application of stochastic optimization approaches to the synthesis of heatintegrated complex distillation system, which is characterized by large-scale combinatorial feature. Conventionaland complex columns, thermally coupled (linked) side strippers and side rectifiers as well as heat integration betweenthe different columns are simultaneously considered. The problem is formulated as an MINLP (mixed-integernonlinear programming) problem. A simulated annealing algorithm is proposed to deal with the MINLP problemand a shortcut method is applied to evaluate all required design parameters as well as the total cost function. Twoillustrating examples are presented.

Compact implicit integration factor methods for some complex-valued nonlinear equations

The compact implicit integration factor （cIIF） method is an efficient time discretization scheme for stiff nonlinear diffusion equations in two and three spatial dimensions. In the current work, we apply the cIIF method to some complex-valued nonlinear evolutionary equations such as the nonlinear SchrSdinger （NLS） equation and the complex Ginzburg-Landau （GL） equation. Detailed algorithm formulation and practical implementation of cIIF method are performed. The numerical results indicate that this method is very accurate and efficient.

New constraints on the P-T path of HT/UHT metapelites from the Highland Complex of Sri Lanka

We report here rare evidence for the early prograde P-Tevolution of garnet-sillimanite-graphite gneiss(khondalite)from the central Highland Complex,Sri Lanka.Four types of garnet porphyroblasts(Grt_1,Grt_2,Grt_3 and Grt_4)are observed in the rock with specific types of inclusion features.Only Grt_3 shows evidence for non-coaxial strain.Combining the information shows a sequence of main inclusion phases,from old to young:oriented quartz inclusions at core,staurolite and prismatic sillimanite at mantle,kyanite and kyanite pseudomorph,and biotite at rim in Grt_1;fibrolitic sillimanite pseudomorphing kyanite±corundum,kyanite,and spinel+sillimanite after garnet+corundum in Grt_2;biotite,sillimanite,quartz±spinel in Grt_3;and ilmenite,rulite,quartz and sillimanite in Grt_4.The pre-melting,original rock composition was calculated through stepwise re-integration of melt into the residual,XRF based composition,allowing the early prograde metamorphic evolution to be deduced from petrographical observations and pseudosections.The earliest recognizable stage occurred in the sillimanite field at around 575℃ at 4.5 kbar.Subsequent collision associated with Gondwana amalgamation led to crustal thickening along a P-T trajectory with an average dP/dT of ~30 bar/℃ in the kyanite field,up to ~660℃ at 6.5 kbar,before crossing the wet-solidus at around 675 ℃ at 7.5 kbar.The highest pressure occurred at P > 10 kbar and T around 780℃ before prograde decompression associated with further heating.At 825℃ and 10.5 kbar,the rock re-entered into the sillimanite field.The temperature peaked at 900℃ at ca.9-9.5 kbar.Subsequent near-isobaric cooling led to the growth of Grt_4 and rutile at T ~880℃.Local pyrophyllite rims around sillimanite suggest a late stage of rehydration at T<400℃,which probably occurred after uplift to upper crustal levels.U-Pb dating of zircons by LAICPMS of the khondalite yielded two concordant ^(206)Pb/^(238)U age groups with mean values of 542±2 Ma(MSWD=0.24,Th/U=0.01-0.03)and 514±3 Ma(MSWD=0.50,Th/U=0.01-0.05)interpreted as peak metamorphism of the khondalite and subsequent melt crystallization during cooling.

Boundary integral equations for dynamic rupture propagation on vertical complex fault system in half-space:Theory

The boundary integral equation method （BIEM） is now widely used in numerical studies on earthquake rupture dynamics, and is proved to be a powerful tool to deal with problems on complex fault system. However, since this method heavily lies on the specific forms of Green＇s function and only the Green＇s function in full-space has a closed analytic expression, it is usually limited to a full-space medium. In this study, as a first step to extend this method to an arbitrary complex fault system in half-space, the boundary integral equations （BIEs） for dynamic strike-slip on vertical complex fault system in half-space are derived based on exact Green＇s function for isotropic and homogeneous half-space. Effect of the geometry of the complex fault system are dealt with carefully. Final BIEs is composed of two parts： contribution from full-space, which has been thoroughly investigated by Aochi and his co-workers by using the Green＇s function for full-space, and that from free surface, which is studied in detail in this study.

ON THE REGULARIZATION METHOD OF THE FIRST KIND OFFREDHOLM INTEGRAL EQUATION WITH A COMPLEX KERNEL AND ITS APPLICATION

The regularized integrodifferential equation for the first kind of Fredholm, integral equation with a complex kernel is derived by generalizing the Tikhonov regularization method and the convergence of approximate regularized solutions is discussed. As an application of the method, an inverse problem in the two-dimensional wave-making problem of a flat plate is solved numerically, and a practical approach of choosing optimal regularization parameter is given.

THE CAUCHY INTEGRAL OF MANY COMPLEX VARIABLES PASSIVE OPERATORS AND MULTIDIMENSIONAL DISPERSION RELATIONS

This note illustrates the multidimensional dispersion relations that connect the real and imaginary parts of the matrixwhere z(p)) is the boundary value of the impedance

Integrated Design Approach for Solving Complexity of Design Problem

The engineering problems today become more and more complex particularly in the area of new product development. It requires the multi-disciplinary design method to solve complex problems. This paper presents an integrated design system for solving complexity during multi-disciplinary design. Complexity could be solved if the design problems, given by any individuals who are concerned, are structured. The design system uses the multi-viewpoint concept to allow experts to share their information and knowledge in common views. Knowledge modules are used to store semantics from the experts of different disciplines. Then the system agent acts as an internal designer to help support the individuals to translate any semantics provided from one discipline and then propagate to other related disciplines. With these tools, the integrated design system can structure and solve the complexity of design problems.

Design Strategy of Underground Space of Urban Rail Transit Complex Based on Integration Concept

With the accelerated development and utilization of urban underground space,the underground space design of complex based on rail transit has attracted much attention.By sorting out the integration concept and constructing the logical framework of integrated design,the integrated design strategy is proposed from the aspects of function,transportation,space and environment on the urban scale,and the evaluation points of integrated design effect are put forward from the aspects of accessibility,coordination,openness and symbolism.

Direct Solutions of Some Singular Integral Equations on the Building Domain of Complex Biballs

By means of the method of solid angle coefficients and the permutation formula on the building domain of complex biballs,direct solutions of some singular integral equations with variable coefficients are discussed and the explicit formulas for these solutions are obtained.

PARALLEL INFORMATION-BASED COMPLEXITY OF NUMERICAL INTEGRATION ON SOBOLEV CLASS W_q^s(Ω)

This paper deals with the parallel information-based complexity of numerical integration on Sobolev class. We obtain tight bounds on the complexity, considered as a function of two variables simultaneously:the number of processors, the rquired precision. This result seems to be new even in serial case.

INTS10对HCC细胞周期、凋亡、生长和迁移能力的影响

为了探究整合因子复合物亚基10(integrator complex subunits 10,INTS10)对人肝细胞癌(hepatocellular carcinoma,HCC)细胞周期、凋亡、生长和迁移能力的影响及其潜在的分子作用机制,利用慢病毒感染法获得稳定过表达或敲低INTS10的HCC细胞系,采用qRT-PCR和Western blotting检测INTS10 mRNA和蛋白表达水平,接着采用CCK-8法、克隆形成和BrdU实验检测细胞生长情况,采用Transwell小室实验检测细胞迁移能力,采用流式分析术检测细胞的周期和凋亡.结果显示:过表达INTS10可显著抑制HCC细胞的凋亡、生长和迁移能力,促进G1期细胞数量的增加,而敲低INTS10则呈现相反的表型.通过通路富集分析发现,周期相关通路被显著富集,过表达INTS10后,CDC25A和CDK4的mRNA和蛋白质水平显著减少,而CDKN1A的水平显著增加,敲低INTS10则呈现相反趋势.综上,本研究初步揭示了INTS10在HCC细胞中可能通过影响G1/S期相关蛋白质的表达而发挥抑癌基因的功能,为下一步更为深入的功能和机制研究提供了基础.

THE INTEGRAL FORMULA ON COMPLEX SUBMANIFOLD AND APPLICATION

First, this paper gives another integral representation an bounded convex domain in complex submanifold. Second, using this integral representation, the author easely gets the strengthen consequence of Elgueta.

3种灵长类动物SAGE1与INTS3相互作用保守性的验证

目的·研究恒河猴(Rhesus)、狨猴(Marmoset)、倭狐猴(Mouse Lemur)这3种代表性灵长类动物的癌-睾丸抗原(cancer-testis antigen,CTA)家族成员之一的肉瘤抗原1(sarcoma antigen 1,SAGE1)的进化,及其与整合体复合物(integrator complex,INT)亚基INTS3之间的相互作用的保守性。方法·首先在HEK293T细胞中利用免疫共沉淀(coimmunoprecipitation,Co-IP)的方法验证3种灵长类动物的SAGE1和INTS3相互作用。随后在互作蛋白截短的片段上分别添加His-SUMO和GST标签,并在大肠埃希菌中进行表达,经过系列纯化步骤得到目标蛋白。通过表面等离子体共振(surface plasmon resonance,SPR)实验测定目标蛋白之间的结合强弱,借助广角激光散射凝胶排阻层析(size exclusion chromatographywithmulti-anglelightscattering,SEC-MALS)技术检测复合物的结合比例,并利用分子对接技术预测SAGE1和INTS3截短体的结合模型。分析人类INTS3和SAGE1互作界面,挑选在灵长类中也相对保守的关键互作氨基酸位点,将其突变后再次使用Co-IP分析INTS3和SAGE1的结合情况。结果·通过Co-IP方法,确定3种灵长类动物中INTS3和SAGE1全长蛋白之间存在相互作用。截短体蛋白经过外源诱导表达和多步纯化,获得高纯度蛋白样品;经过SPR对其进行结合和解离检测分析,得到了它们的解离常数在微摩尔级别;并且SEC-MALS结果显示INTS3与SAGE1的结合比例为2∶1。使用分子对接预测SAGE1和INTS3截短体结合模型,发现该复合物具有典型的“蝴蝶型结构”,由INTS3二聚体组成“蝴蝶身体”,由SAGE1组成“蝴蝶头部”,结合界面中疏水相互作用构成了主要的互作模式。分析突变后的SAGE1与INTS3全长蛋白相互作用,它们之间的结合明显减弱。结论·恒河猴、狨猴、倭狐猴中INTS3与SAGE1存在相互作用,并且相互作用具有高度的保守性。

A 1.25Gb/s InP-Based Vertical Monolithic Integration of an MQW Laser Diode and an HBT Driver witha Lateral Buffer Mes a Structure

A novel fabrication process related to a smoothly wet chemical etching profile o f InP-based epitaxial layers in the crystal direction of [01for an InP-based monol ithic vertically integrated transmitter with an MQW laser diode and a heterojunction bipolar tran sistors driver circuit is described.A clear eye output diagram via an O/E converter is demonstrat ed und er a 1.25Gb/s non-return-zero pseudorandom code with a pattern length of 2 the integrated transmitter has a power dissipation of about 120mW with an optical output of 2dBm.

区域协调互动中地方政府阻滞的行为与制度解析——基于Int-B-Ins模型的分析

地方政府的行为深嵌于中央与地方以及地方与地方复杂交错的府际关系网络之中,并受制于国家宏观环境和微观制度安排的影响,表现为对地方利益最大化的理性追求。分析和消解地方政府阻碍区域协调互动的行为,应该在承认地方政府理性逐利人本性的基础上,从行为与制度的视角入手。本文通过Int-B-Ins模型的建构分析,对地方政府阻碍区域协调互动的行为与制度成因进行了深层解析,并着眼于促进区域协调互动提出引导地方政府优化行为的制度创新路径。

The Calculation of Parameters for DNA Kinetic Structure Based on Monte-Carlo Multiple Integrals

Based on protein-DNA complex crystal structural data in up-to-date Nucleic Acid Database,the related parameters of DNA Kinetic Structure were investigated by Monte-Carlo Multiple Integrals on the base of modified DNA structure statistical mechanical model,and time complexity and precision were analyzed on the calculated results.

Challenges and improvement strategies in the hospitalization of chronic multimorbid patients

BACKGROUND Addressing the growing challenge of hospitalizing chronic multimorbid patients,this study examines the strain these conditions impose on healthcare systems at a local level,focusing on a pilot program.Chronic diseases and complex patients require comprehensive management strategies to reduce healthcare burdens and improve patient outcomes.If proven effective,this pilot model has the potential to be replicated in other healthcare settings to enhance the management of chronic multimorbid patients.AIM To evaluate the effectiveness of the high complexity unit(HCU)in managing chronic multimorbid patients through a multidisciplinary care model and to compare it with standard hospital care.METHODS The study employed a descriptive longitudinal approach,analyzing data from the Basic Minimum Data Set(BMDS)to compare hospitalization variables among the HCU,the Internal Medicine Service,and other services at Antequera Hospital throughout 2022.The HCU,designed for patients with complex chronic conditions,integrates a patient-centered model emphasizing multidisciplinary care and continuity post-discharge.RESULTS The study employed a descriptive longitudinal approach,analyzing data from the BMDS to compare hospitalization variables among the HCU,the Internal Medicine Service,and other services at Antequera Hospital throughout 2022.The HCU,designed for patients with complex chronic conditions,integrates a patient-centered model emphasizing multidisciplinary care and continuity post-discharge.CONCLUSION This study demonstrates the effectiveness of the HCU in managing patients with complex chronic diseases through a multidisciplinary approach.The coordinated care provided by the HCU results in improved patient outcomes,reduced unnecessary hospitalizations,and better management of patient complexity.The superiority of the HCU compared to standard care is evident in key outcomes such as fewer readmissions and higher patient satisfaction,reinforcing its value as a model of care to be replicated.