On Triangle Interpolation Approximation of the Double Function

本文以两组不同的节点构造了一个组合型的二元三角插值多项式算子Lmn(f;x,y)，并且研究了二元连续周期函数对这个算子的收敛性及收敛阶的估计等问题。

Pure Electric and Pure Magnetic Resonances in Near-Infrared Metal Double-Triangle Metamaterial Arrays

We experimentally and numerically investigate the optical properties of metamaterial arrays composed of double partially-overlapped metallic nanotriangles fabricated by an angle-resolved nanosphere lithography.We demonstrate that each double-triangle can be viewed as an artificial magnetic element analogous to the conventional metal split-ring-resonator.It is shown that under normal-incidence conditions,individual double-triangle can exhibit a strong local magnetic resonance,but the collective response of the metamaterial arrays is purely electric because magnetic resonances of the two double-triangles in a unit cell having opposite openings are out of phase.For oblique incidences the metamaterial arrays are shown to support a pure magnetic response at the same frequency band.Therefore,switchable electric and magnetic resonances are achieved in double-triangle arrays.Moreover,both the electric and magnetic resonances axe shown to allow for a tunability over a large spectral range down to near-infrared.

Triangle分层护理管理对高血压患者血压水平和依从性的影响

目的 分析Triangle分层护理管理对高血压患者的影响。方法 抽取2019年6月至2022年12月共78例高血压住院患者作为研究对象,应用随机抽样法划分为两组,对照组中提供常规护理管理(n=39),研究组提供Triangle分层护理管理(n=39),对比分析两组患者血压、依从率、自我管理行为、并发症。结果 患者管理前收缩压和舒张压显示无差异(P>0.05),管理后研究组低于照组,差异具有统计学意义(P<0.05);自我管理行为评分对比,管理前比较两组无差异(P>0.05),管理后升高,经对比,研究组评分高于另一组,差异具有统计学意义(P<0.05);依从率对比差异具有统计学意义(P<0.05),对照组(79.49%)低于研究组(94.87%);并发症发生率经对比差异具有统计学意义(P<0.05),研究组(2.56%)更低。结论 Triangle分层护理管理对高血压患者具有重要影响,能积极有效地控制血压,提高其治疗依从性、自我管理行为,并能降低并发症。

以Triangle模型为基础的分级护理应用于糖尿病足患者的效果

目的观察并分析以Triangle模型为基础的分级护理应用于糖尿病足患者的效果。方法选取漯河市中心医院2021年12月至2023年12月收治的97例糖尿病足患者,按照抽签法分组,常规组48例接受常规护理,研究组49例患者接受以Triangle模型为基础的分级护理,均干预3个月后,比较两组溃疡修复情况、神经传导速度、自我效能、并发症及生活质量。结果研究组感觉检查、症状以及反射评分低于常规组(P<0.05)。研究组胫神经、腓总神经传导速度快于常规组(P<0.05)。研究组3个月后自我减压、自我决策、正性态度及生活质量评分均高于常规组(P<0.05)。研究组10 g尼龙绳触觉、痛觉、冷热觉及振动觉异常和下肢麻木发生率低于常规组(P<0.05)。两组皮肤干燥情况差异无统计学意义(P>0.05)。结论以Triangle模型为基础的分级护理可明显提高糖尿病足患者自我效能,有利于其溃疡修复和神经传导速度改善,减少并发症发生并促进生活质量的提高。

老年维持性腹膜透析病人Triangle分层分级管理体系的构建

目的:构建适合老年维持性腹膜透析病人的分层分级管理体系,为老年腹膜透析病人的管理提供参考依据。方法:以Triangle分层分级管理模式为理论依据进行文献检索,通过半结构式访谈对15名从事腹膜透析及肾脏病临床管理的医护专家进行咨询,构建老年腹膜透析病人分层分级管理内容框架。结果:2轮问卷回收率均达到100%,2轮专家权威系数分别为0.870和0.923,肯德尔协调系数分别为0.318和0.433,第2轮专家函询中各指标重要性赋分均数为4.07~4.93,变异系数为0.05~0.15。最终构建包括6个1级指标,45个2级指标的老年维持性腹膜透析病人Triangle分层分级管理体系。结论:该研究构建的老年维持性腹膜透析病人Triangle分层分级管理体系内容具有科学性和可靠性,可为老年维持性腹膜透析病人的管理提供依据,具有理论和实际意义。

基于softmax的加权Double Q-Learning算法

强化学习作为机器学习的一个分支,用于描述和解决智能体在与环境的交互过程中,通过学习策略以达成回报最大化的问题。Q-Learning作为无模型强化学习的经典方法,存在过估计引起的最大化偏差问题,并且在环境中奖励存在噪声时表现不佳。Double Q-Learning(DQL)的出现解决了过估计问题,但同时造成了低估问题。为解决以上算法的高低估问题,提出了基于softmax的加权Q-Learning算法,并将其与DQL相结合,提出了一种新的基于softmax的加权Double Q-Learning算法(WDQL-Softmax)。该算法基于加权双估计器的构造,对样本期望值进行softmax操作得到权重,使用权重估计动作价值,有效平衡对动作价值的高估和低估问题,使估计值更加接近理论值。实验结果表明,在离散动作空间中,相比于Q-Learning算法、DQL算法和WDQL算法,WDQL-Softmax算法的收敛速度更快且估计值与理论值的误差更小。

糖尿病肾病开展Triangle分层分级管理+LEARNS模式的效果及心理状态的观察

目的探究在对糖尿病肾病患者护理时开展Triangle分层分级管理+LEARNS模式对患者血糖水平、肾功能水平以及心理状态等改善作用。方法在2022年2月至2023年1月云南省第三人民医院收治糖尿病肾病患者中随机抽选74例为对象,Excel表随机排序划分对照组(n=37,治疗期间接受常规护理)和观察组(n=37,接受Triangle分层分级管理+LEARNS模式护理)。针对患者血压水平、肾功能水平等改善情况进行评估。结果对比2组干预前后血糖水平,餐后2 h血糖、空腹血糖,干预后观察组低于对照组,差异有统计学意义(P<0.05)。对比患者生存质量,干预前无差异,干预后观察组QOLIE-31量表评分高于对照组,差异有统计学意义(P<0.05)。对比患者负面情绪评分,干预前BAI以及BDI评分无差异,干预后观察组评分低于对照组,差异有统计学意义(P<0.05)。对比患者肾功能水平,干预后观察组肾功能水平高于对照组,差异有统计学意义(P<0.05)。对比2组自我管理能力,干预后观察组高于对照组,差异有统计学意义(P<0.05)。结论在对糖尿病肾病患者护理时开展Triangle分层分级管理+LEARNS模式,可改善患者血糖、肾功能水平,缓解患者治疗期间负面情绪,有助于患者进行恢复。

基于Dueling Double DQN的交通信号控制方法

为了提高交叉口通行效率缓解交通拥堵,深入挖掘交通状态信息中所包含的深层次隐含特征信息,提出了一种基于Dueling Double DQN(D3QN)的单交叉口交通信号控制方法;构建了一个基于深度强化学习Double DQN(DDQN)的交通信号控制模型,对动作-价值函数的估计值和目标值迭代运算过程进行了优化,克服基于深度强化学习DQN的交通信号控制模型存在收敛速度慢的问题;设计了一个新的Dueling Network解耦交通状态和相位动作的价值,增强Double DQN(DDQN)提取深层次特征信息的能力;基于微观仿真平台SUMO搭建了一个单交叉口模拟仿真框架和环境,开展仿真测试;仿真测试结果表明,与传统交通信号控制方法和基于深度强化学习DQN的交通信号控制方法相比,所提方法能够有效减少车辆平均等待时间、车辆平均排队长度和车辆平均停车次数,明显提升交叉口通行效率。

基于Triangle分层分级管理的LEARNS模式对妊娠期糖尿病孕期血糖控制水平及母婴结局

目的探讨基于Triangle分层分级管理的LEARNS模式对妊娠期糖尿病孕期血糖控制水平及母婴结局影响。方法选取山东省滕州市妇幼保健院2021年1月—2022年12月收治的116例妊娠期糖尿病孕妇,应用抽签法将孕妇分为观察组与对照组,每组58例。对照组实施常规护理,观察组实施基于Triangle分层分级管理的LEARNS模式干预。分别在干预前后应用一般自我效能量表(GSES)对两组孕妇的自我效能进行评价,应用健康促进生活方式量表Ⅱ(HPLPⅡ)评价两组孕妇生活健康水平,并对比两组产妇干预前后血糖水平及母婴结局。结果干预后,两组GSES、HPLPⅡ评分均升高,观察组GSES、HPLPⅡ评分高于对照组,差异有统计学意义(P<0.05);干预后,两组空腹血糖、餐后2 h血糖、糖化血红蛋白水平均降低,观察组空腹血糖、餐后2 h血糖、糖化血红蛋白水平低于对照组,差异有统计学意义(P<0.05);观察组妊娠不良结局、围产儿不良结局发生率明显低于对照组,差异有统计学意义(P<0.05)。结论基于Triangle分层分级管理的LEARNS模式可提升妊娠期糖尿病孕妇自我效能及健康生活水平,更有利于产妇孕期血糖控制,进而降低母婴不良结局发生率。

基于Triangle模型的分层分级延续性护理在2型糖尿病病人中的应用研究

目的:分析基于Triangle模型的分层分级延续护理在2型糖尿病(T2DM)病人中的应用效果。方法:纳入2021年11月—2022年11月在徐州医科大学附属宿迁医院接受治疗的120例T2DM病人,按随机数字表法分为观察组与对照组,各60例。对照组接受延续性护理,观察组接受基于Triangle模型的分层分级延续性护理。于干预前、干预3个月时、干预6个月时评定病人血糖控制状况、自我管理能力、生活质量;并记录病人干预期间再住院次数。结果:干预3个月、6个月时,两组病人空腹血糖(FPG)、餐后2 h血糖(2 h PG)、糖化血红蛋白(HbA1c)水平明显低于干预前,糖尿病自我管理行为量表(SDSCA)得分高于干预前,中国糖尿病病人生存质量特异性量表(DSQL)得分低于干预前,且观察组病人各项指标改善优于对照组(P<0.05);但两组病人干预6个月时的各项指标与干预3个月时比较,差异无统计学意义(P>0.05);观察组病人再住院次数少于对照组(P<0.05)。结论:基于Triangle模型的分层分级延续性护理可提高T2DM病人的血糖控制水平、自我管理能力及生活质量,并减少再住院次数。

Influence of variable viscosity and double diffusion on the convective stability of a nanofluid flow in an inclined porous channel

The influence of variable viscosity and double diffusion on the convective stability of a nanofluid flow in an inclined porous channel is investigated.The DarcyBrinkman model is used to characterize the fluid flow dynamics in porous materials.The analytical solutions are obtained for the unidirectional and completely developed flow.Based on a normal mode analysis,the generalized eigenvalue problem under a perturbed state is solved.The eigenvalue problem is then solved by the spectral method.Finally,the critical Rayleigh number with the corresponding wavenumber is evaluated at the assigned values of the other flow-governing parameters.The results show that increasing the Darcy number,the Lewis number,the Dufour parameter,or the Soret parameter increases the stability of the system,whereas increasing the inclination angle of the channel destabilizes the flow.Besides,the flow is the most unstable when the channel is vertically oriented.

Double contrast-enhanced ultrasonography improves diagnostic accuracy of T staging compared with multi-detector computed tomography in gastric cancer patients

BACKGROUND Gastric cancer(GC)is the most common malignant tumor and ranks third for cancer-related deaths among the worldwide.The disease poses a serious public health problem in China,ranking fifth for incidence and third for mortality.Knowledge of the invasive depth of the tumor is vital to treatment decisions.AIM To evaluate the diagnostic performance of double contrast-enhanced ultrasonography(DCEUS)for preoperative T staging in patients with GC by comparing with multi-detector computed tomography(MDCT).METHODS This single prospective study enrolled patients with GC confirmed by preoperative gastroscopy from July 2021 to March 2023.Patients underwent DCEUS,including ultrasonography(US)and intravenous contrast-enhanced ultrasonography(CEUS),and MDCT examinations for the assessment of preoperative T staging.Features of GC were identified on DCEUS and criteria developed to evaluate T staging according to the 8th edition of AJCC cancer staging manual.The diagnostic performance of DCEUS was evaluated by comparing it with that of MDCT and surgical-pathological findings were considered as the gold standard.RESULTS A total of 229 patients with GC(80 T1,33 T2,59 T3 and 57 T4)were included.Overall accuracies were 86.9%for DCEUS and 61.1%for MDCT(P<0.001).DCEUS was superior to MDCT for T1(92.5%vs 70.0%,P<0.001),T2(72.7%vs 51.5%,P=0.041),T3(86.4%vs 45.8%,P<0.001)and T4(87.7%vs 70.2%,P=0.022)staging of GC.CONCLUSION DCEUS improved the diagnostic accuracy of preoperative T staging in patients with GC compared with MDCT,and constitutes a promising imaging modality for preoperative evaluation of GC to aid individualized treatment decision-making.

Enhancing the stability of Ni Fe-layered double hydroxide nanosheet array for alkaline seawater oxidation by Ce doping

Electrocatalytic hydrogen production from seawater holds enormous promise for clean energy generation.Nevertheless,the direct electrolysis of seawater encounters significant challenges due to poor anodic stability caused by detrimental chlorine chemistry.Herein,we present our recent discovery that the incorporation of Ce into Ni Fe layered double hydroxide nanosheet array on Ni foam(Ce-Ni Fe LDH/NF)emerges as a robust electrocatalyst for seawater oxidation.During the seawater oxidation process,CeO_(2)is generated,effectively repelling Cl^(-)and inhibiting the formation of Cl O-,resulting in a notable enhancement in the oxidation activity and stability of alkaline seawater.The prepared Ce-Ni Fe LDH/NF requires only overpotential of 390 m V to achieve the current density of 1 A cm^(-2),while maintaining long-term stability for 500 h,outperforming the performance of Ni Fe LDH/NF(430 m V,150 h)by a significant margin.This study highlights the effectiveness of a Ce-doping strategy in augmenting the activity and stability of materials based on Ni Fe LDH in seawater electrolysis for oxygen evolution.

Triangle分层分级管理模型在下肢静脉溃疡患者护理中的研究进展

对下肢静脉溃疡疾病的现状、国内外Triangle分层分级管理模型的应用现状进行综述,对下肢静脉溃疡患者分层分级管理的相关管理方式、评价指标及随访方式进行归纳总结,旨在为下肢静脉溃疡患者提供更具有层次化、条理化的管理,为临床护理人员管理下肢静脉溃疡患者提供参考依据。

基于Triangle分层分级管理的LEARNS健康教育在高血压患者中的应用

目的探讨基于Triangle分层分级管理的LEARNS健康教育对高血压患者的影响。方法选取2023年1-10月在本院就诊的高血压患者176例,采用数字表法将其随机分为对照组(88例,给予常规健康教育)和观察组(88例,开展基于Triangle分层分级管理的LEARNS健康教育),比较两组干预前及干预3个月后高血压知识知晓率、自我管理行为以及血压水平。结果对照组有1例中途失访,观察组1例失访、1例主动要求退出,予以脱落,最终对照组87例、观察组86例。观察组干预后成人的血压正常值、高血压患病危险因素及合并症和防治原则等相关知识知晓率均高于对照组(P<0.05),自我管理行为量表(HPSMBRS)中的饮食、用药、情绪及病情监测评分分别为(40.11±5.09)分、(16.88±3.40)分、(26.77±4.10)分及(16.99±3.10)分,均高于对照组(33.45±5.10)分、(13.55±2.31)分、(23.45±4.23)分及(13.44±2.17)分(P<0.05),收缩压(SBP)为(130.11±5.34)mmHg、舒张压(DBP)为(85.76±9.23)mmHg均低于对照组(143.22±5.01)mmHg和(90.12±6.11)mmHg(P<0.05)。结论基于Triangle分层分级管理的LEARNS健康教育在高血压患者中应用效果显著,可提高患者疾病知识知晓度和自我管理行为水平,有效改善血压水平。

TRIANGLE operation,combined with adequate adjuvant chemotherapy,can improve the prognosis of pancreatic head cancer:A retrospective study

BACKGROUND The TRIANGLE operation involves the removal of all tissues within the triangle bounded by the portal vein-superior mesenteric vein,celiac axis-common hepatic artery,and superior mesenteric artery to improve patient prognosis.Although previously promising in patients with locally advanced pancreatic ductal adenocarcinoma(PDAC),data are limited regarding the long-term oncological outcomes of the TRIANGLE operation among resectable PDAC patients undergoing pancreaticoduodenectomy(PD).AIM To evaluate the safety of the TRIANGLE operation during PD and the prognosis in patients with resectable PDAC.METHODS This retrospective cohort study included patients who underwent PD for pancreatic head cancer between January 2017 and April 2023,with or without the TRIANGLE operation.Patients were divided into the PD_(TRIANGLE)and PD_(non-TRIANGLE)groups.Surgical and survival outcomes were compared between the two groups.Adequate adjuvant chemotherapy was defined as adjuvant chemotherapy≥6 months.RESULTS The PD_(TRIANGLE)and PD_(non-TRIANGLE) groups included 52 and 55 patients,respectively.There were no significant differences in the baseline characteristics or perioperative indexes between the two groups.Furthermore,the recurrence rate was lower in the PD_(TRIANGLE) group than in the PD_(non-TRIANGLE) group(48.1%vs 81.8%,P<0.001),and the local recurrence rate of PDAC decreased from 37.8%to 16.0%.Multivariate Cox regression analysis revealed that PD_(TRIANGLE)(HR=0.424;95%CI:0.256-0.702;P=0.001),adequate adjuvant chemotherapy≥6 months(HR=0.370;95%CI:0.222-0.618;P<0.001)and margin status(HR=2.255;95%CI:1.252-4.064;P=0.007)were found to be independent factors for the recurrence rate.CONCLUSION The TRIANGLE operation is safe for PDAC patients undergoing PD.Moreover,it reduces the local recurrence rate of PDAC and may improve survival in patients who receive adequate adjuvant chemotherapy.

Correction to:Theoretical analysis of the double-differential cross-sections of neutron,proton,deuteron,^(3)He,and α for the p+^(6)Li reaction

Correction to:Nuclear Science and Techniques(2024)35:61 https://doi.org/10.1007/s41365-024-01421-5 In this article,the figures were wrongly numbered.The Fig.7 and 8 should have been Fig.11 and 12.The Fig.9,10,11,and 12 should have been 7,8,9 and 10.The original article has been corrected.

Effect of non-uniform swelling on coal multiphysics during gas injection: The triangle approach

In current dual porosity/permeability models,there exists a fundamental assumption that the adsorption-induced swelling is distributed uniformly within the representative elementary volume (REV),irrespective of its internal structures and transient processes.However,both internal structures and transient processes can lead to the non-uniform swelling.In this study,we hypothesize that the non-uniform swelling is responsible for why coal permeability in experimental measurements is not only controlled by the effective stress but also is affected by the adsorption-induced swelling.We propose a concept of the swelling triangle composed of swelling paths to characterize the evolution of the non-uniform swelling and serve as a core link in coupled multiphysics.A swelling path is determined by a dimensionless volumetric ratio and a dimensionless swelling ratio.Different swelling paths have the same start and end point,and each swelling path represents a unique swelling case.The swelling path as the diagonal of the triangle represents the case of the uniform swelling while that as the two perpendicular boundaries represents the case of the localized swelling.The paths of all intermediate cases populate inside the triangle.The corresponding relations between the swelling path and the response of coal multiphysics are established by a non-uniform swelling coefficient.We define this method as the triangle approach and corresponding models as swelling path-based ones.The proposed concept and models are verified against a long-term experimental measurement of permeability and strains under constant effective stress.Our results demonstrate that during gas injection,coal multiphysics responses have a close dependence on the swelling path,and that in both future experiments and field predictions,this dependence must be considered.

Diagnosis of indirectly driven double shell targets with point-projection hard x-ray radiography

We present an application of short-pulse laser-generated hard x rays for the diagnosis of indirectly driven double shell targets. Coneinserted double shell targets were imploded through an indirect drive approach on the upgraded SG-II laser facility. Then, based on thepoint-projection hard x-ray radiography technique, time-resolved radiography of the double shell targets, including that of their near-peakcompression, were obtained. The backlighter source was created by the interactions of a high-intensity short pulsed laser with a metalmicrowire target. Images of the target near peak compression were obtained with an Au microwire. In addition, radiation hydrodynamicsimulations were performed, and the target evolution obtained agrees well with the experimental results. Using the radiographic images, arealdensities of the targets were evaluated.

Defective Nickel-Iron Layered Double Hydroxide for Enhanced Photocatalytic NO Oxidation with Significant Alleviation of NO2 Production

Photocatalysis offers a sustainable means for the oxidative removal of low concentrations of NOx(NO,NO2,N2O,N2O5,etc.)from the atmosphere.Layered double hydroxides(LDHs)are promising candidate photocatalysts owing to their unique layered and tunable chemical structures and abundant surface hydroxide(OH)moieties,which are hydroxyl radical(OH)precursors.However,the practical applications of LDHs are limited by their poor charge-separation ability and insufficient active sites.Herein,we developed a facile N_(2)H_(4)-driven etching approach to introduce dual Ni^(2+)and OHvacancies(Niv and OHv,respectively)into NiFe-LDH nanosheets(hereafter referred to as NiFe-LDH-et)to facilitate improved charge-carrier separation and active Lewis acidic site(Fe^(3+)and Ni^(2+)exposed at OHv)formation.In contrast to inert pristine LDH,NiFe-LDH-et actively removed NO under visible-light illumination.Specifically,Ni_(76)Fe_(24)-LDH-et etched with 1.50 mmol·L^(-1)N_(2)H_(4)solution removed 32.8%of the NO in continuously flowing air(NO feed concentration:500 parts per billion(ppb))under visible-light illumination,thereby outperforming most reported catalysts.Experimental and theoretical data revealed that the dual vacancies promoted the production of reactive oxygen species(O_(2)·^(-)andOH)and the adsorption of NO on the LDH.In situ spectroscopy demonstrated that NO was preferentially adsorbed at Lewis acidic sites,particularly exposed Fe^(3+)sites,converted into NO+,and subsequently oxidized to NO3without the notable formation of the more toxic intermediate NO2,thereby alleviating risks associated with its production and emission.