MULTIFRACTAL ANALYSIS OF CONVERGENCE EXPONENTS FOR PRODUCTS OF CONSECUTIVE PARTIAL QUOTIENTS IN CONTINUED FRACTIONS

For each real number x∈(0,1),let[a_(1)(x),a_(2)(x),…,a_n(x),…]denote its continued fraction expansion.We study the convergence exponent defined byτ(x)=inf{s≥0:∞∑n=1(a_(n)(x)a_(n+1)(x))^(-s)<∞},which reflects the growth rate of the product of two consecutive partial quotients.As a main result,the Hausdorff dimensions of the level sets ofτ(x)are determined.

Efficacy and safety analysis of continued nursing of complications in discharged patients after percutaneous transhepatic biliary drainage

BACKGROUND Percutaneous hepatobiliary drainage(PTCD)is an effective method for the treatment of biliary obstruction and other diseases,but postoperative complications are still one of the important problems faced by patients.Continuous nursing is a comprehensive nursing model that plays an important role in postoperative recovery.The purpose of this study was to investigate the effect of continuous nursing on the incidence of complications in patients after PTCD surgery through meta-analysis and to evaluate its efficacy and safety.AIM To evaluate the effect of extended nursing on the incidence of complications in discharged patients after percutaneous transhepatic biliary drainage(PTBD).METHODS Randomized controlled studies on PTBD postdischarge extended care were identified in the CNKI,Wanfang,VIP,CBM,PubMed,Cochrane Library,Embase,Web of Science,and other databases.The quality of the included studies was evaluated using the Joanna Briggs Institute of Australia literature quality evaluation tool,and a meta-analysis of the included studies was performed with RevMan 5.4 software.RESULTS Finally,9 studies were included,with a total sample size of 854 patients(425 patients in the control group and 429 patients in the intervention group).Meta-analysis revealed that extended care effectively reduced biliary tract infection(RR:0.42,95%CI:0.30-0.57),puncture wound infection(RR:0.19,95%CI:0.06-0.65),catheter protrusion or displacement in discharged patients after PTBD(RR:0.31,95%CI:0.18-0.54),catheter blockage(RR:0.23,95%CI:0.13-0.42),skin infection around the drainage tube(RR:0.30,95%CI:0.12-0.77),and catheter-related readmissions(RR:0.34,95%CI:0.18-0.65)(P<0.05).CONCLUSION Compared with conventional discharge care,extended care can effectively reduce the occurrence of complications such as biliary tract infection,puncture wound infection,catheter prolapse or displacement,catheter blockage,skin infection around the drainage tube,and catheter-related readmission in discharged patients after PTBD.

China-ASEAN Energy Cooperation China and ASEAN countries are poised for long-term energy cooperation as complementary needs continue to rise

Cambodia,funded and developed by China National Heavy Machinery Corporation(CHMC).This project has an installed capacity of 150 MW.Having completed its water storage in 2023,the plant,once operational,will provide Cambodia with a stable power supply.Moreover,CHMC has signed a Memorandum of Understanding to develop the 1,000 MW Upper Stung Tatay Pumped Storage Power Station-a key project,and the signing was witnessed by leaders of both countries.It will serve as a critical reserve and regulating power source in Cambodia,laying a foundation for subsequent renewable energy development in the country.

China-ASEAN Environmental Cooperation Consensus on eco environmental protection outweighs differences with continued focus on four strategic areas

In response to the severe challenges posed by global climate change and the sustainable development goals of reaching peak carbon emissions and achieving carbon neutrality, green development has become a shared objective and necessity for economic growth and social transformation worldwide. China and the ASEAN countries share extensive common interests and positions on addressing climate change. Both have consistently emphasized green and sustainable development in their pursuit of shared prosperity. They have engaged in extensive practical cooperation in areas such as ecological conservation and clean energy.

Policies Aiming at Stabilizing Foreign Trade Continue to Work

On May 30,t he Ch ina Council for the Promotion of International Trade(CCPIT)held a regular press conference.Zhao Ping,the spokesperson for the CCPIT,said that since the beginning of this year,the number of issued ATA Carnets has increased significantly,reflecting the fact that China’s foreign trade policy portfolio is taking effect,foreign trade enterprises have been more active,and their motivation and enthusiasm for expanding the international market have continued to rise.

Gearing Up For Greater Opportunities In 2024,ASEAN will continue unlocking market potential and maintaining momentum to achieve greater economic growth

In 2023, the global economy faced multiple challenges and opportunities. It was pummeled by inflation, geopolitical tensions, and trade conflict while structural changes took place with a transition from old to new drivers of growth, the mushrooming emerging industries, and the reshaping of the global value chains.

Bangladeshi textile and garment sectors defied the global disasters and continued growth

Bangladeshi textile and garment sectors defied the global challenges over the last five years and continued to grow although the growth momentum was not so strong before the COVID-19 pandemic.Before the start of the pandemic,both the textile and garment sectors were growing at a higher rate because of rising demand from the international clothing retailers and brands because of two main reasons including the trade war between USA and China and competitive prices of locally made garment.

Migration of Healthcare Professionals: Exploring Self-Perception about Midwifery Professional Life and Continued Education

Introduction: International migration has always existed, primarily as a means to find economic opportunity. Recently, the number of health care professionals seeking to work outside Albania is growing rapidly. In 2021 alone, 1073 nurses left Albania. The departure of health care professionals is reflected in education where it can be observed that a good part of the students who finished the bachelor’s level program did not enroll to continue the second level of study in the master’s. The student’s decision not to continue further levels of education has brought consequences from programs shutting down due to lack of students and forcing the university to spread out the few remaining students to other programs. Objective: The purpose of the study was to explore the opinions of Midwifery Students studying at the Bachelor level, regarding their professional future and continuing education. Methodology: This is a cross-sectional study. In this study are included the students of the bachelor level of education. Student participating are studying Midwifery in the 2022-2023 academic year, at the Faculty of Technical Medical Sciences at the University of Medicine, Albania. Results: The students on average believe they can find a job as a midwife. The career is relatively safe and the profession of midwifery will ensure economic well-being for them. Most of the students hope to emigrate and develop their professional career outside of Albania. This was a surprise given that most frequent answers given by the students for not continuing their Master’s level education was the fact that the program was not accredited, their Bachelor’s diploma was also not accredited and so not recognized by other countries, the cost of continuing their studies was too high and their desire for a better economic and social status which they cannot get in Albania. The majority of students participating in the study identified emigration as the main way they plan to further their studies. Conclusions and Recommendations: Although the students had willingly chosen to continue the midwifery diploma, as they thought it would provide them with a proper future, this dignified professional future was seen as unattainable in Albania so they are seeking it out in more developed countries. A significant number of health professionals prefer to continue their second cycle studies in another country. The professional security within their home country does not satisfy the students. As the market demand for nurses around the globe escalates, the changes and consequences associated with nurse migration are increasingly in need of policy solutions that will address the needs of all parties involved. .

National Economy Continued to Recover in May

In May,the policies and measures to stabilize growth,employment and prices continued to take effect,the production and demand recovered steadily,employment and prices were generally stable,and transformation and upgrading was further advanced.The national economy sustained the recovery momentum.

China Continues To Promote Sustainable Traffic Construction

After more than 30 years’development,during which the scale of China’s transportation infrastructure has continuously expanded,transportation supply products have also been continuously enriched,and the technical level has achieved leap-forward development from following to leading in some fields.At present,the transportation industry has entered a new stage of digital and green high-quality development.

Comparative Analysis of Continuous versus Intermittent Proton Pump Inhibitor Therapy in Patients with Upper Gastrointestinal Bleeding Due to Ulcers

Upper gastrointestinal bleeding (UGIB) presents as a prevalent clinical challenge, with annual incidence rates ranging from 80 to 150 cases per 100,000 individuals. Guidelines for managing patients with UGIB due to bleeding ulcers recommend a continuous infusion of proton pump inhibitors (PPI). However, studies comparing intermittent dosing of PPI therapy show that this regimen achieves similar clinical benefits. If the clinical efficacy remains equivalent, intermittent dosing will be more cost-effective for patients and the health care system. Our research study aims to analyze the comparative effectiveness of intermittent versus continuous PPI therapy after endoscopic treatment in patients with UGIB, focusing on such endpoints as rebleeding risk at 3-and 7-day mortality rates. Methods: Resources searched included MEDLINE, EMBASE, PUBMED, and the Cochrane Central Register of Controlled Trials databases from January 2010 through December 2023 with the inclusion of meta-analysis, systematic review, review, or ACG guideline recommendations. Results of the analysis show how recommendations regarding high vs. low PPI regimen changed over time: from no difference in regimen in 2010 to recommending continuous regimen in 2012 to declaring insufficient evidence between choosing one regimen over another in 2013 to determine that both regimens were comparable to each other in 2014-2018 and finally to recommending both regimens in 2021. To conclude, our review shows that in patients with bleeding ulcers and high-risk endoscopic findings, intermittent PPI therapy is non-inferior to continuous PPI infusion for three days, seven days bleeding risk or mortality rates;however, it remains challenging to determine the most optimal intermittent regimen due to heterogeneity of RCTs included in meta-analyses, and further trials will need to be performed.

The main economic indicators of China's Cotton textile industry continue to recover

The data of key enterprises tracked(referred to as key enterprises)by China Cotton Textile As-Sociation(referred to as"CCTA")show that in the first quarter of 2023,the main economic indicators of China's cotton textile industry continue to recoverand develop well.

Strengthening effect of prefabrication(10-12)tensile twinning on AZ80+0.4%Ce magnesium alloy and inhibition mechanism of discontinuous precipitation

This paper provided an effective method to further improve the mechanical properties of the AZ80+0.4%Ce magnesium alloy wheel spoke.The effect of high strength and ductility was obtained with a yield strength of 295.36 MPa,an elongation of 10%,by the combination of pre-deformation(7%deformation)and two-stage aging treatment(120℃/9 h+175℃/24 h).The evolution of the microstructure and properties of the alloy was explored under the coupling conditions of different pre-deformation degrees and multi-stage aging.The results show that,pre-deformation introduced a large number of(1012)tensile twinning and dislocations,which greatly promoted the probability of continuous precipitates(CPs)appearing.On the contrary,the discontinuous precipitates(DPs)were limited by the vertical and horizontal twin structure.As a result,the pre-nucleation method of two-stage aging increased the proportion of CPs by 34%-38%.Owing to the DPs was effectively suppressed,the alloy's yield strength has been greatly improved.Besides,under multi-stage aging,the twin boundaries induce protruding nucleation to form static recrystallization by hindering the migration of dislocations,and the matrix swallows the twins,then the texture gradually tilts from the two poles to the basal plane.As an important supplement,the grain refinement and oblique texture promoted the improvement of the yield strength of the component.

Enhanced measurement precision with continuous interrogation during dynamical decoupling

Dynamical decoupling(DD)is normally ineffective when applied to DC measurement.In its straightforward implementation,DD nulls out DC signal as well while suppressing noise.This work proposes a phase relay method that is capable of continuously interrogating the DC signal over many DD cycles.We illustrate its efficacy when applied to the measurement of a weak DC magnetic field with an atomic spinor Bose-Einstein condensate.Sensitivities approaching standard quantum limit or Heisenberg limit are potentially realizable for a coherent spin state or a squeezed spin state of 10000 atoms,respectively,while ambient laboratory level noise is suppressed by DD.Our work offers a practical approach to mitigate the limitations of DD to DC measurement and would find other applications for resorting coherence in quantum sensing and quantum information processing research.

Improvement and security analysis of multi-ring discrete modulation continuous variable quantum secret sharing scheme

In order to avoid the complexity of Gaussian modulation and the problem that the traditional point-to-point communication DM-CVQKD protocol cannot meet the demand for multi-user key sharing at the same time, we propose a multi-ring discrete modulation continuous variable quantum key sharing scheme(MR-DM-CVQSS). In this paper, we primarily compare single-ring and multi-ring M-symbol amplitude and phase-shift keying modulations. We analyze their asymptotic key rates against collective attacks and consider the security key rates under finite-size effects. Leveraging the characteristics of discrete modulation, we improve the quantum secret sharing scheme. Non-dealer participants only require simple phase shifters to complete quantum secret sharing. We also provide the general design of the MR-DM-CVQSS protocol.We conduct a comprehensive analysis of the improved protocol's performance, confirming that the enhancement through multi-ring M-PSK allows for longer-distance quantum key distribution. Additionally, it reduces the deployment complexity of the system, thereby increasing the practical value.

Irregular initial solidification by mold thermal monitoring in the continuous casting of steels:A review

Occasional irregular initial solidification phenomena,including stickers,deep oscillation marks,depressions,and surface cracks of strand shells in continuous casting molds,are important limitations for developing the high-efficiency continuous casting of steels.The application of mold thermal monitoring(MTM) systems,which use thermocouples to detect and respond to temperature variations in molds,has become an effective method to address irregular initial solidification phenomena.Such systems are widely applied in numerous steel companies for sticker breakout prediction.However,monitoring the surface defects of strands remains immature.Hence,indepth research is necessary to utilize the potential advantages and comprehensive monitoring of MTM systems.This paper summarizes what is included in the irregular initial solidification phenomena and systematically reviews the current state of research on these phenomena by the MTM systems.Furthermore,the influences of mold slag behavior on monitoring these phenomena are analyzed.Finally,the remaining problems of the formation mechanisms and investigations of irregular initial solidification phenomena are discussed,and future research directions are proposed.

THE ABSENCE OF SINGULAR CONTINUOUS SPECTRUM FOR PERTURBED JACOBI OPERATORS

This paper is mainly about the spectral properties of a class of Jacobi operators(H_(c,b)u)(n)=c_(n)u(n+1)+c_(n-1)u(n-1)+b_(n)u(n),.where∣c_(n)−1∣=O(n^(−α))and b_(n)=O(n^(−1)).We will show that,forα≥1,the singular continuous spectrum of the operator is empty.

Effect of continuous nursing on rehabilitation of older patients with joint replacement after discharge

BACKGROUND Joint replacement is a common treatment for older patients with high incidences of hip joint diseases.However,postoperative recovery is slow and complications are common,which reduces surgical effectiveness.Therefore,patients require long-term,high-quality,and effective nursing interventions to promote rehabilitation.Continuity of care has been used successfully in other diseases;however,little research has been conducted on older patients who have undergone hip replacement.AIM To explore the clinical effect of continuous nursing on rehabilitation after discharge of older individuals who have undergone joint replacement.METHODS A retrospective analysis was performed on the clinical data of 113 elderly patients.Patients receiving routine nursing were included in the convention group(n=60),and those receiving continuous nursing,according to various methods,were included in the continuation group(n=53).Harris score,short form 36(SF-36)score,complication rate,and readmission rate were compared between the convention and continuation groups.RESULTS After discharge,Harris and SF-36 scores of the continuation group were higher than those of the convention group.The Harris and SF-36 scores of the two groups showed an increasing trend with time,and there was an interaction effect between group and time(Harris score:F_(intergroup effect)=376.500,F_(time effect)=20.090,Finteraction effect=4.824;SF-36 score:F_(intergroup effect)=236.200,Ftime effect=16.710,Finteraction effect=5.584;all P<0.05).Furthermore,the total complication and readmission rates in the continuation group were lower(P<0.05).CONCLUSION Continuous nursing could significantly improve hip function and quality of life in older patients after joint replacement and reduce the incidence of complications and readmission rates.

Large-scale particle trapping by acoustic vortices with a continuously variable topological charge

Strengthened directivity with higher-order side lobes can be generated by the transducer with a larger radius at a higher frequency. The multi-annular pressure distributions are displayed in the cross-section of the acoustic vortices(AVs)which are formed by side lobes. In the near field, particles can be trapped in the valley region between the two annuli of the pressure peak, and cannot be moved to the vortex center. In this paper, a trapping method based on a sector transducer array is proposed, which is characterized by the continuously variable topological charge(CVTC). This acoustic field can not only enlarge the range of particle trapping but also improve the aggregation degree of the trapped particles. In the experiments, polyethylene particles with a diameter of 0.2 mm are trapped into the multi-annular valleys by the AV with a fixed topological charge. Nevertheless, by applying the CVTC, particles outside the radius of the AV can cross the pressure peak successfully and move to the vortex center. Theoretical studies are also verified by the experimental particles trapping using the AV with the continuous variation of three topological charges, and suggest the potential application of large-scale particle trapping in biomedical engineering.

Existence of a Hölder Continuous Extension on Embedded Balls of the 3-Torus for the Periodic Navier Stokes Equations

This article gives a general model using specific periodic special functions, which is degenerate elliptic Weierstrass P functions whose presence in the governing equations through the forcing terms simplify the periodic Navier Stokes equations (PNS) at the centers of cells of the 3-Torus. Satisfying a divergence-free vector field and periodic boundary conditions respectively with a general spatio-temporal forcing term which is smooth and spatially periodic, the existence of solutions which have finite time singularities can occur starting with the first derivative and higher with respect to time. The existence of a subspace of the solution space where v3 is continuous and {C, y1, y12}, is linearly independent in the additive argument of the solution in terms of the Lambert W function, (y12=y2, C∈R) together with the condition v2=-2y1v1. On this subspace, the Biot Savart Law holds exactly [see Section 2 (Equation (13))]. Also on this subspace, an expression X (part of PNS equations) vanishes which contains all the expressions in derivatives of v1 and v2 and the forcing terms in the plane which are related as with the cancellation of all such terms in governing PDE. The y3 component forcing term is arbitrarily small in ε ball where Weierstrass P functions touch the center of the ball both for inviscid and viscous cases. As a result, a significant simplification occurs with a v3 only governing PDE resulting. With viscosity present as v changes from zero to the fully viscous case at v =1 the solution for v3 reaches a peak in the third component y3. Consequently, there exists a dipole which is not centered at the center of the cell of the Lattice. Hence since the dipole by definition has an equal in magnitude positive and negative peak in y3, then the dipole Riemann cut-off surface is covered by a closed surface which is the sphere and where a given cell of dimensions [-1, 1]3 is circumscribed on a sphere of radius 1. For such a closed surface containing a dipole it necessarily follows that the flux at the surface of the sphere of v3 wrt to surface normal n is zero including at the points where the surface of sphere touches the cube walls. At the finite time singularity on the sphere a rotation boundary condition is deduced. It is shown that v3 is spatially finite on the Riemann Sphere and the forcing is oscillatory in y3 component if the velocity v3 is. It is true that . A boundary condition on the sphere shows the rotation of a sphere of viscous fluid. Finally on the sphere a solution for v3 is obtained which is proven to be Hölder continuous and it is shown that it is possible to extend Hölder continuity on the sphere uniquely to all of the interior of the ball.