Fractional cyclic integrals and Routh equations of fractional Lagrange system with combined Caputo derivatives

In this paper, we develop a fractional cyclic integral and a Routh equation for fractional Lagrange system defined in terms of fractional Caputo derivatives. The fractional Hamilton principle and the fractional Lagrange equations of the system are obtained under a combined Caputo derivative. Furthermore, the fractional cyclic integrals based on the Lagrange equations are studied and the associated Routh equations of the system are presented. Finally, two examples are given to show the applications of the results.

Hydrate-based carbon dioxide capture from simulated integrated gasification combined cycle gas

The equilibrium hydrate formation conditions for CO2/H2 gas mixtures with different CO2 concentrations in 0.29 mol% TBAB aqueous solution are firstly measured.The results illustrate that the equilibrium hydrate formation pressure increases remarkably with the decrease of CO2 concentration in the gas mixture.Based on the phase equilibrium data,a three stages hydrate CO2 separation from integrated gasification combined cycle （IGCC） synthesis gas is investigated.Because the separation efficiency is quite low for the third hydrate separation,a hybrid CO2 separation process of two hydrate stages in conjunction with one chemical absorption process （absorption with MEA） is proposed and studied.The experimental results show H2 concentration in the final residual gas released from the three stages hydrate CO2 separation process was approximately 95.0 mol% while that released from the hybrid CO2 separation process was approximately 99.4 mol%.Thus,the hybrid process is possible to be a promising technology for the industrial application in the future.

System integration and innovation of operating 20 kt combined heavy-haul train on Datong-Qinhuangdao line

Datong-Qinhuangdao line, as the first electrified double-track heavy-haul line dedicated to coal transport in China, extends from Datong in the west, and reaches Qinhuangdao in the east, opened to traffic in December, 1992, totaling 653 km with the designed annual traffic volume of 1×108 t. In order to meet the demands of national economic development, the transport capacity of the line must be enhanced greatly. Depending on independent innovation, MOR, for the first time in the world,realizes the integration between GSM-R and Locotrol, the integration between 800 MHz digital radio and Locotrol, and the integration between a single set of Locotrol and SS4 locomotive. Meanwhile, CR develops equipment portfolio for heavy-haul through combining 2 high power locomotives of HXD series (means harmony) with controllable EOT. Relying on integration and innovation, it succeeds in operating 20 kt-level combined heavy-haul train on Datong-Qinhuangdao line, which tripled the annual traffic volume of the line from 1×108 t in 2002 to 3×108 t in 2007.

Robust Stability Analysis of a Kind of Combined Integrating Control System

This paper offeres an exact study on the robust stability of a kind of combined integrating control system, and the robust stability belongs to the analysis of a kind of quasi-polynomial with two independent time delays. The parameters of stable space under time delay uncertainty are fixed after Rekasius transformation, and then a new cluster treatment of characteristic roots (CTCR) procedure is adopted to determine the stable space. By this strategy we find that the unstable space is not continuous and both Karitonov vertices theory and Edge theory are unable to be extended to quasi-polynomial under time delay uncertainty.

Prognostic analysis of patients with combined hepatocellularcholangiocarcinoma after radical resection:A retrospective multicenter cohort study

BACKGROUND Combined hepatocellular-cholangiocarcinoma(cHCC-CCA)is a form of rare primary liver cancer that combines intrahepatic cholangiocarcinoma(ICC)and hepatocellular carcinoma.AIM To investigate overall survival(OS)and recurrence-free survival(RFS)after radical resection in patients with cHCC-CCA,and the clinicopathological factors affecting prognosis in two center hospitals of China.METHODS We reviewed consecutive patients with cHCC-CCA who received radical resection between January 2005 and September 2021 at Peking Union Medical College and the 5th Medical Center of the PLA General Hospital retrospectively.Regular follow-up and clinicopathological characteristics were systematic collected for baseline and prognostic analysis.RESULTS Our study included 95 patients who received radical resection.The majority of these patients were male and 82.7%of these patients were infected with HBV.The mean tumor size was 4.5 cm,and approximately 40%of patients had more than one lesion.The median OS was 26.8(95%CI:18.5-43.0)mo,and the median RFS was 7.27(95%CI:5.83-10.3)mo.Independent predictors of OS were CA19-9≥37 U/mL(HR=8.68,P=0.002),Child-Pugh score>5(HR=5.52,P=0.027),tumor number>1(HR=30.85,P=0.002),tumor size and transarterial chemoembolization(TACE)after surgery(HR=0.2,P=0.005).CONCLUSION The overall postoperative survival of cHCC-CCA patients is poor,and most patients experience relapse within a short period of time after surgery.Preoperative tumor biomarker(CA19-9,alphafetoprotein)levels,tumor size,and Child-Pugh score can significantly affect OS.Adjuvant TACE after surgery prolongs RFS,suggesting that TACE is a possible option for postoperative adjuvant therapy in patients with cHCC-CCA.

Hierarchy of Combined TL-RTL Equations and an Associated （2＋l）-Dimensional Lattice Equation

A new （29-1）-dimensional lattice equation is presented based upon the first two members in the hierarchy of the combined Toda lattice and relativistic Toda lattice （TL-RTL） equations in （19991） dimensions. A Darboux transformation for the hierarchy of the combined TL-RTL equations is constructed. Solutions of the first two members in the hierarchy of the combined TL-RTL equations, as well as the new （29-1）-dimensional lattice equation are explicitly obtained by the Darboux transformation.

Parameters and Trajectory Overall Optimization Design of the Combined Cycle Engine Reusable Launch Vehicle

Reusable launch vehicle is an important way to realize fast,cheap and reliable space transportation.A combined cycle engine system provides a more efficient and flexible form of power.The investigation on the research status of the combined cycle engine technology,including basic principle,research programs and classification of structure is firstly discussed in this paper.Then the bilevel hierarchical and integrated parameters/trajectory overall optimization technologies are applied to improve the efficiency and effectiveness of overall vehicle design.Simulations are implemented to compare and analyze the effectiveness and adaptability of the two algorithms,in order to provide the technical reserves and beneficial references for further research on combined cycle engine reusable launch vehicles.

Global Existence and Uniqueness of Periodic Waves for a Perturbed Combined Double-Dispersive Equation

In this paper, we study the periodic wave propagation phenomenon in elastic waveguides modeled by a combined double-dispersive partial differential equation(PDE).The traveling wave ansazt transforms the PDE model into a perturbed integrable ordinary differential equation(ODE). The global bifurcation theory is applied for the perturbed ODE model to establish the existence and uniqueness of the limit cycle, which corresponds the periodic traveling wave for the PDE model. The main tool is the Abelian integral taken from Poincaré bifurcation theory. Simulation is carried out to verify the theoretical result.

Historical Source of "Zhang and Li Combined Households" in Taomin Region

Folk activities are the most representative form of regional culture,the humanistic care,homeland affection and festival customs that run through them are all vivid and true embodiments of local life.The folk custom activity of"Zhang and Li combined households"is a living inheritance of the historical fact of Mongolian-Han fusion in Taomin region.It takes Shehuo(festival entertainment)as the carrier,and uses rich forms of performance to recognize relatives and worship ancestors.At the same time,as a kind of entertainment and catharsis,it also carries the social function of folk culture,such as maintaining and connecting the emotions between the ethnic groups and neighbors,etc.On the basis of field investigation,this paper deeply describes the folk custom event of"Zhang and Li combined households",shows the whole picture of the grand festival,and discusses the ancestral memory,identifies and ethnic integration process of"Zhang and Li combined households"as a cultural phenomenon.

Making Cultural Integration Work——Lessons form the Successful Air France KLM Combination

The reccnt Alcatel Lucent failure is an example of how many mergers run into considerable implementing difficulties in the months following their launch. Despite promising perspectives,no coherent whole seems to come out of the merger,just as anticipated synergies have a hard time materializing.

Ecological Risk Assessment of Combined Pollution of Heavy Metals and Pesticides in Urban Soils

Urban soil is the main component of urban ecological systems and the key risk receptor from urbanization. Heavy metal and green pesticide pollutions in urban soils have been widely reported with the expanding of urbanization. Since urban soil pollution comes from various resources, application of integrated thinking and methods is needed in ecological risk assessment of urban soil pollution. This paper synthetically reviewed the combined pollution of heavy metals and pesticide, and ecological risk assessment, and then proposed some research trends and areas in the future that are required to carry out intensively according to the present situation of environmental pollution and international research fronts.

Research on Hydrological Time Series Prediction Based on Combined Model

Water level prediction of river runoff is an important part of hydrological forecasting.The change of water level not only has the trend and seasonal characteristics,but also contains the noise factors.And the water level prediction ability of a single model is limited.Since the traditional ARIMA(Autoregressive Integrated Moving Average)model is not accurate enough to predict nonlinear time series,and the WNN(Wavelet Neural Network)model requires a large training set,we proposed a new combined neural network prediction model which combines the WNN model with the ARIMA model on the basis of wavelet decomposition.The combined model fit the wavelet transform sequences whose frequency are high with the WNN,and the scale transform sequence which has low frequency is fitted by the ARIMA model,and then the prediction results of the above are reconstructed by wavelet transform.The daily average water level data of the Liuhe hydrological station in the Chu River Basin of Nanjing are used to forecast the average water level of one day ahead.The combined model is compared with other single models with MATLAB,and the experimental results show that the accuracy of the combined model is improved by 7%compared with the traditional wavelet network under the appropriate wavelet decomposition function and the combined model parameters.

Robust optimal dispatch strategy of integrated energy system considering CHP-P2G-CCS

Integrated energy systems(IESs)can improve energy efficiency and reduce carbon emissions,essential for achieving peak carbon emissions and carbon neutrality.This study investigated the characteristics of the CHP model considering P2G and carbon capture systems,and a two-stage robust optimization model of the electricity-heat-gascold integrated energy system was developed.First,a CHP model considering the P2G and carbon capture system was established,and the electric-thermal coupling characteristics and P2G capacity constraints of the model were derived,which proved that the model could weaken the electric-thermal coupling characteristics,increase the electric power regulation range,and reduce carbon emissions.Subsequently,a two-stage robust optimal scheduling model of an IES was constructed,in which the objective function in the day-ahead scheduling stage was to minimize the start-up and shutdown costs.The objective function in the real-time scheduling stage was to minimize the equipment operating costs,carbon emission costs,wind curtailment,and solar curtailment costs,considering multiple uncertainties.Finally,after the objective function is linearized with a ψ-piecewise method,the model is solved based on the C&CG algorithm.Simulation results show that the proposed model can effectively absorb renewable energy and reduce the total cost of the system.

Advances in the management of arteriosclerosis of the lower extremity:Integrating Western and Chinese medicine approaches

This editorial provides a commentary on the recent article.The paper reviews current literature and explores innovative treatment strategies for lower extremity arteriosclerosis obliterans(LEASO)through an integrative approach.It highlights the effectiveness of combination therapies that merge traditional Chinese medicine(TCM)with Western medical practices,suggesting that such integrative methods may improve patient compliance and outcomes through personalized care.This paper stresses the importance of rigorous clinical trials to evaluate the efficacy and safety of TCM interventions within LEASO treatment protocols,advocating for evidence-based validation of these combined therapies.Our recommendations emphasize accurate diagnosis,appropriate pharmacological in-terventions,the use of advanced surgical and endovascular techniques,and the inclusion of TCM to address underlying dysfunctions.Additionally,continuous monitoring,patient education,and lifestyle modifications are essential to slow disease progression and achieve optimal patient outcomes.The paper concludes by calling for further research to develop standardized treatment protocols that effectively integrate both Western and Chinese medical approaches in managing LEASO.

“As You Wish” A Combination of External Flexibility and Internal Integrity

A phrase often on the Chinese lips is ＂＇As you wish.＂ When there is a visiting guest at someone＇s home, a host asks, ＂What would you like to drink, tea, coffee or something else？＂ The guest may answer ＂As you wish.＂ This does not mean the guest would not mind what you serve. It inadvertently shows their respect for the host.

Assessment of Operational Performance in a Power Generation/Selling Integrated Company Using a Dynamic Proportional Adjustment Coefficient

Currently,the operational performance assessment system in the power market primarily focuses on power generation and electricity retail companies,lacking a system tailored to the operational characteristics of power generation/selling integrated companies.Therefore,this article proposes an assessment index system for assessing the operational performance of a power generation/selling integrated company,encompassing three dimensions:basic capacity,development potential,and external environment.A dynamic proportional adjustment coefficient is designed,along with a subjective and objective weighting model for assessment indexes based on a combined weightingmethod.Subsequently,the operational performance of an integrated company is assessed using extension theory.The results in the case study demonstrate the feasibility and effectiveness of the proposed dynamic proportional adjustment coefficient.

新型一体化Orbal氧化沟的工程设计

结合无锡市城北污水处理厂三期工程的设计,阐述了新型一体化Orbal氧化沟生物处理系统、泥水分离系统、回流系统的设计要点及注意事项,同时针对新池型的不足提出了建议。

Tapered Multimode Interference Combiners for Coherent Receivers

A new tapered multimode interference （MMl）-based coherent lightwave combiner is reported. A comprehensive theoretical analysis of mode behaviors in the tapered MMI waveguide is presented, and the output characteristics of the tapered MMI combiners with various structures are demonstrated. The combiner is fabricated on a silicon-on-insulator （SO1） substrate. Due to its advantages of having no end-facet reflection,easy extension to a multi-port configuration, high tolerance for fabrication errors, and compact size, the tapered MMI is a good candidate for a coherent lightwave combiner to be used in large-scale photonic integrated circuits.

一体化Orbal氧化沟清淤大修施工实例

无锡市城北污水处理厂三期工程采用一体化奥贝尔(Orbal)氧化沟为主体的A2/O除磷脱氮工艺。介绍了一体化氧化沟在有条件放空的情况下实施清淤大修的施工实例,主要包括前期准备、放空要求、清淤方案、安全措施和实施过程等。