A RANK THEOREM FOR NONLINEAR SEMI-FREDHOLM OPERATORS BETWEEN TWO BANACH MANIFOLDS

In this article thc concept of local conjugation of a C^1 mapping between two Banach manifolds is introduced. Thcn a rank theorem for nonlinear scmi-Fredholm operators between two Banach manifolds and a finite rank theorem are established in global analysis.

Existence of Solutions for S-L Singular Boundary Value Problems with p-Laplacian Operators

The existence of solutions for singular nonlinear two point boundary value problems subject to Sturm Liouville boundary conditions with p Laplacian operators is studied by the method of upper and lower solutions. The proof is based on an application of Schauder’s fixed point theorem to a modified problem whose solutions are that of the original one. At the same time, Arzela Ascoli theorem is used to prove that the defined operator N is a compact map.

Effect of Wave Accessibility on Lower Hybrid Wave Current Drive in Experimental Advanced Superconductor Tokamak with H-Mode Operation

The effect of the wave accessibility condition on the lower hybrid cm＇rent drive in the experimental advanced superconductor Tokamak （EAST） plasma with H-mode operation is studied. Based on a simplified model, a mode conversion layer of the lower hybrid wave between the fast wave branch and the slow wave branch is proved to exist in the plasma periphery for typical EAST H-mode parameters. Under the framework of the lower hybrid wave simulation code （LSC）, the wave ray trajectory and the associated current drive are calculated numerically. The results show that the wave accessibility condition plays an important role on the lower hybrid current drive in EAST plasma. For wave rays with parallel refractive index n｜｜= 2.1 or n｜｜ = 2.5 launched from the outside midplane, the wave rays may penetrate the core plasma due to the toroida] geometry effect, while numerous reflections of the wave ray trajectories in the plasma periphery occur. However, low current drive efficiency is obtained. Meanwhile, the wave accessibility condition is improved if a higher confined magnetic field is applied. The simulation results show that for plasma parameters under present EAST H-mode operation, a significant lower hybrid wave current drive could be obtained for the wave spectrum with peak value n｜｜ = 2.1 if a toroidal magnetic field BT =2.5 T is applied.

Effects of Lower Heat Value Fuel on the Operations of Micro-Gas Turbine

The characteristics of fuel from biomass, coal and some waste materials are lower heat value and different compositions. The lower heat value fuel (LHVF) can be used on power engine such as boiler, gas engine and gas turbine. Some laboratory and pilot work have been done, but the work done on micro-gas turbine is still limited. The characteristics of LHVF can cause the operations change of micro-gas turbine designed for nature gas. Some possible adjustment and modification methods were mentioned for the use of LHVF on micro-gas turbine. One kind of representative LHVF was chosen and the operations of micro-gas turbine were analyzed. The temperature field and the non-uniformity scale of temperature distribution of combustor were calculated using FLUENT. The feasibility of different adjustment and modification methods were analyzed according to the efficiency, output power and the non-uniformity scale of temperature distribution.

RELATIVE ESSENTIAL SPECTRA INVOLVING RELATIVE DEMICOMPACT UNBOUNDED LINEAR OPERATORS

In this article, we introduce the concept of demicompactness with respect to a closed densely defined linear operator, as a generalization of the class of demicompact operator introduced by Petryshyn in [24] and we establish some new results in Fredholm theory. Moreover, we apply the obtained results to discuss the incidence of some perturbation results on the behavior of relative essential spectra of unbounded linear operators acting on Banach spaces. We conclude by characterizations of the relative Schechter＇s and approximate essential spectrum.

Clinical observation of Furongtongmai capsule on the lower extremity Atherosclerotic Occlusive Disease after Intervention Operation

Objective To investigate the effect of Furongtongmai capsule on the in-stent restenosis （ISR） of superficial femoral artery after interventional operation in lower extremity Arteriosclerosis Occlusion （ASO）. Methods： A total of 110 inpatients with ASO who performed Superficial femoral artery stent implantation were randomly divided into observation group and control group, with 55 cases in each group.Both groups received Aspirin 100 mg/d and Clopidogrel 75 mg/d. The observation group was given Furongtongmai capsule on the basis of routine treatment. After continuous treatment for 6 months, the clinical efficacy, Ankle Brachial Index （ABI）, high-sensitivity C-reactive protein （Hs-CPR） and ISR were compared between the two groups. Results： At 6 months after operation, the plasma levels of Hs-CRP in the two groups were significantly lower than those in the control group （P 〈 0.05）. The ABI of treatment group was significantly higher than the control group （P 〈 0.05）. There was a statistically significant difference in ISR incidence between the treatment group and the control group 6 months after surgery （9.09% vs 27.78%, P 〈 0.05）. Conclusion： Furongtongmai Capsule can inhibit Hs-CRP in patients with ASO after femoral artery intervention, improve the ankle brachial index and reduce the incidence of ISR.

Operator Methods and SU(1,1) Symmetry in the Theory of Jacobi and of Ultraspherical Polynomials

Starting from general Jacobi polynomials we derive for the Ul-traspherical polynomials as their special case a set of related polynomials which can be extended to an orthogonal set of functions with interesting properties. It leads to an alternative definition of the Ultraspherical polynomials by a fixed integral operator in application to powers of the variable u in an analogous way as it is possible for Hermite polynomials. From this follows a generating function which is apparently known only for the Legendre and Chebyshev polynomials as their special case. Furthermore, we show that the Ultraspherical polynomials form a realization of the SU(1,1) Lie algebra with lowering and raising operators which we explicitly determine. By reordering of multiplication and differentiation operators we derive new operator identities for the whole set of Jacobi polynomials which may be applied to arbitrary functions and provide then function identities. In this way we derive a new “convolution identity” for Jacobi polynomials and compare it with a known convolution identity of different structure for Gegenbauer polynomials. In short form we establish the connection of Jacobi polynomials and their related orthonormalized functions to the eigensolution of the Schrödinger equation to Pöschl-Teller potentials.

手术患者术后下肢深静脉血栓形成的术中预防方案分析

目的分析预防手术患者术后下肢深静脉血栓形成(LDVT)的术中应用方案。方法收集2022年3月至2023年2月于保定市第二中心医院收治的256例手术患者的临床资料,将2022年9月前未应用术中改良方案的患者作为常规组(n=119),将2022年9月开始应用术中改良方案的患者作为改良组(n=137)。比较两组患者的手术指标(手术时间、术中出血量、术后卧床时间、住院时间和配合度评分)、血流动力学指标(心率、平均动脉压)、手术前后股静脉血流指标(峰值血流速度、平均血流速度和血流量)、手术前后凝血功能指标[凝血酶原时间(PT)、活化部分凝血活酶时间(APTT)、纤维蛋白原(FIB)、凝血酶时间(TT)和D-二聚体(D-D)]及术后LDVT的发生情况。结果改良组患者的手术时间、术后卧床时间、住院时间均明显短于常规组患者,术中出血量明显少于常规组患者,配合度评分明显高于常规组患者,差异均有统计学意义(P﹤0.01)。入室后,两组患者的心率、平均动脉压比较,差异均无统计学意义(P﹥0.05);术中10 min、术毕即刻,改良组患者的心率、平均动脉压均低于常规组患者,差异均有统计学意义(P﹤0.05)。术后,改良组患者股静脉的峰值血流速度、平均血流速度、血流量均高于常规组患者,差异均有统计学意义(P﹤0.01)。术后,改良组患者的PT、APTT、TT均长于常规组患者,D-D、FIB水平均低于常规组患者,LDVT的发生率低于常规组患者,差异有统计学意义(P﹤0.05)。结论手术室人员于术中应用改良方案能够改善患者术中血流动力学,提高手术配合度,降低术中出血量,从而减轻术后血液高凝状态,促进术后下肢静脉血液回流,降低术后LDVT的发生风险。

万家寨水库排沙效果及影响因素分析

降水冲刷是恢复水库库容的有效手段。2011年以来万家寨水库在排沙期多次开展降水冲刷运用,取得了较好的排沙效果。基于实测资料,分析了2011年以来万家寨水库排沙效果及其影响因素。结果表明:2011—2021年(不含2016年)万家寨水库累计排沙7.173亿t;排沙主要集中在排沙期;2018—2020年来水较丰,水库降水冲刷历时长,3 a累计排沙4.840亿t;水库排沙影响因素众多,长历时大流量洪水过程有利于水库排沙;运用水位降低时,蓄水量减小,沿程冲刷距离长,壅水输沙距离缩短,有利于提高水库的排沙效果。通过回归分析,建立了不同水位下出库输沙率与主要影响因素的关系。

基于人机工程学的下肢外骨骼运动控制

为避免外骨骼机器人髋关节和膝关节尺寸影响患者正常行走功能的恢复,踝尺寸对脚落地姿态的影响,提出一种基于人机工程学的外骨骼机器人运动控制方法.首先利用人机工程学对人体的参数进行收集,并以此构建适合人体尺寸、具有舒适穿戴的外骨骼模型架构,使外骨骼机器人满足穿戴人群差异化的需求;然后所构建的下肢外骨骼架构,建立外骨骼下肢末端的位姿并构建单肢三自由度机械腿的正向运动学方程,通过对机器人的步行计划,外骨骼机器人的实际步行过程由ADAMS进行模拟,验证人体行走时两腿各关节扭矩的变化规律;最后为了验证该方法在关节速度控制中的优越性和有效性,选择模糊PID进行控制.

Quantitative Characterizations of Bounded Compact Approximation Property by Semi-Fredholm Operators

Based on a characterization of upper semi-Fredholm operators due to A.Lebow and M.Schechter,we introduce and investigate a new quantity characterizing upper semi-Fredholm operators.This quantity and several well-known quantities are used to characterize bounded compact approximation property.Similarly,a new quantity characterizing lower semi-Fredholm operators is introduced,investigated and used to characterize the bounded compact approximation property for dual spaces.

手术室人性化护理在老年下肢骨折患者中的应用分析

目的探究老年下肢骨折实施手术室人性化护理的作用。方法前瞻性随机选取2023年1—12月南京市第一医院收治的140例老年下肢骨折患者为研究对象。根据不同护理干预分为研究组和参照组,各70例。参照组行常规护理,研究组加用手术室人性化护理。比较两组患者心理状态、并发症发生情况及生活质量。结果护理后,研究组焦虑和抑郁评分分别为(48.51±3.54)分、(50.12±4.02)分,低于参照组的(52.33±4.36)分和(56.92±4.36)分,差异有统计学意义(t=5.691、9.593,P均<0.05)。研究组并发症发生情况优于参照组,差异有统计学意义(P<0.05)。研究组生活质量评分高于参照组,差异有统计学意义(P<0.05)。结论老年下肢骨折患者经手术室人性化护理后心理状态显著改善,并发症发生率较低,生活质量较理想。

下肢骨折内固定手术配合手术室护理的临床疗效观察

要目的:探讨下肢骨折内固定手术配合手术室护理的临床疗效。方法:选取该院2019年12月—2022年12月收治的84例下肢骨折内固定手术患者为研究对象,按照随机数字表法将其分为对照组与观察组,各42例。对照组实施常规护理服务,观察组配合手术室护理。比较2组患者的临床相关指标、疼痛评分、下肢运动功能、日常生活能力、生活质量、护理满意度及并发症发生情况。结果:观察组手术、骨折愈合、下地及住院时间均短于对照组,组间差异有统计学意义(P<0.05)。护理后,观察组疼痛视觉模拟评分低于对照组,下肢运动功能、日常生活能力及生活质量评分均高于对照组,组间差异有统计学意义(P<0.05)。观察组并发症发生率为4.80%,低于对照组的21.40%,差异有统计学意义(P<0.05)。观察组护理满意度为97.60%,高于对照组的83.3%,差异有统计学意义(P<0.05)。结论:对于接受内固定手术治疗的下肢骨折患者来说,手术室护理配合是一种较为理想的护理方法,可以缩短手术时间及术后恢复时间,在减少并发症的同时改善了患者的疼痛情况、下肢运动能力及日常生活能力与生活质量。

日间手术模式下射频消融闭合术治疗下肢静脉曲张的疗效评价

目的探讨日间手术模式下射频消融(RFA)闭合术治疗下肢静脉曲张的临床疗效及安全性。方法收集2021年12月至2022年5月新疆维吾尔自治区人民医院收治的日间手术模式下治疗的101例大隐静脉曲张患者(112条肢体)的临床资料,按照手术方法的不同将患者分为高位结扎组(n=50)和RFA组(n=51)。比较两组患者围手术期相关指标、围手术期并发症发生率及术后3个月大隐静脉主干闭塞率。结果RFA组患者的术前禁食、禁水时间,手术时间,术后禁食、禁水时间,术后下床时间均短于高位结扎组患者,术中出血量少于高位结扎组患者,术中VAS评分高于高位结扎组患者,术后6 h VAS评分低于高位结扎组患者,差异均有统计学意义(P<0.05)。术后3个月,RFA组患者的大隐静脉主干闭合率为98.2%(56/57),高位结扎组患者的大隐静脉主干闭合率为100%(55/55)。两组患者围手术期并发症的总发生率比较,差异无统计学意义(P>0.05)。结论RFA在日间手术模式下治疗下肢静脉曲张安全、有效,能够缩短术前禁食、禁水时间,手术时间,术后禁食、禁水时间,术后下床时间,减少术中出血量和术后疼痛程度,且不会增加围手术期相关并发症。

不同生态流量需求下雅砻江中下游梯级电站联合优化调度

为协同雅砻江干流水力发电与河道生态流量需求,以中下游7座电站为研究对象,进行不同生态流量需求下雅砻江中下游梯级电站联合优化调度。基于改进型可变月径流法,计算了雅砻江主要生态控制断面最小、适宜及最佳生态流量过程;构建了以梯级发电量最大化为目标的雅砻江中下游梯级电站联合优化调度模型,并用遗传算法对其求解。结果表明:(1)随河道生态流量需求的提高,梯级电站发电效益和水资源利用效率均下降,其中锦屏二级电站发电量下降最为显著;(2)梯级电站保障发电效益正常发挥的同时,实施联合优化调度,其下游河道能维持更高层次的生态流量,一定程度缓解了流域水能开发利用与河道生态保护间的关系。

腹腔镜外翻拖出式经括约肌间切除联合改良Bacon术在低位直肠癌超低位保肛中的应用(附6例报道)

目的探讨腹腔镜外翻拖出式经括约肌间切除(ISR)联合改良Bacon术在低位直肠癌超低位保肛中的应用。方法回顾性分析2023年3月至12月四川省肿瘤医院大肠外科采用外翻拖出式ISR联合改良Bacon术进行腹腔镜根治性切除、超低位保肛的6例低位直肠癌患者的临床资料,探讨近期临床效果,总结手术技巧。结果6例患者均顺利完成手术,手术时间200~320 min,平均256.7 min;术中失血量20~100 mL,平均48.3 mL。术后1例患者出现外置肠段脱垂,行再次手术切除;2例患者出现外置肠段系膜局部缺血,行保守治疗后好转。所有患者均顺利恢复,术后6~11 d出院,平均术后住院时间8.2 d。所有患者均于术后21 d施行二期外置肠段切除和肛门成形术,术后3~6 d好转出院,平均术后住院时间4.3 d。随访至2024年3月,所有患者无肿瘤复发或转移,二期术后3个月Wexner肛门失禁评分1~5分,平均3.2分,肛门控便功能满意。结论腹腔镜外翻拖出式ISR联合改良Bacon术有助于实现肿瘤远端的精准切除,能极大降低经肛切除的操作难度,而且避免了预防性肠造口,术后肛门功能满意,有望成为低位直肠癌行超低位保肛手术的新选择。

金下-三峡-葛洲坝梯级水库联合优化调度方案比较研究

依据水库调度图进行模拟调度,以检验设计值的合理性并作为方案比较的基准。分别建立金沙江下游和三峡-葛洲坝6座梯级水库联合调度和多目标优化调度模型,采用基于Gaussian径向基函数的“参数化-模拟-优化”框架和Borg算法求解优化模型的Pareto前沿。对比研究结果表明:6库设计年发电量合理可靠,联合调度需考虑回水顶托影响;联合(优化)调度方案与单库调度方案对比,6库年均弃水量分别降低20.38%(30.44%),增发电量4.01%(5.45%),其中溪洛渡、向家坝和葛洲坝水库增发电量最大;发电量与蓄满率互相制约,三峡水库9月10日起蓄面临着枯水年难以蓄满的问题,建议进一步优化三峡水库汛期运行水位并考虑提前蓄水。

膝关节镜围手术期踝泵运动防治下肢深静脉血栓形成的疗效研究

目的探讨膝关节镜围手术期踝泵运动防治下肢深静脉血栓形成的疗效。方法选取2021年1月至2022年12月该院运动医学科收治的行膝关节镜前十字韧带重建术患者100例,采用简单随机抽样法分为全程组、术后组、抗凝组和对照组,每组25例。全程组入院开始即进行规范踝泵运动至出院;术后组手术当天麻醉清醒后即开始规范踝泵运动直至出院;抗凝组术后开始给予低分子肝素钠皮下注射预防血栓直至出院,不进行踝泵运动;对照组不行踝泵运动及药物预防血栓,术后按常规活动患肢。4组患者术前、术后第3天行D-二聚体、下肢血管彩色多普勒超声检查下肢血栓发生情况。结果对照组患者中发生血栓6例,发生率为24.0%。术后组、全程组、抗凝组患者血栓发生率均为0。术后组、全程组、抗凝组患者血栓发生率与对照组比较,差异均有统计学意义(χ^(2)=12.471,P<0.001)。高凝组和非高凝组患者身体质量指数比较,差异有统计学意义(P<0.05)。对照组患者高凝发生率[64.0%(16/25)]明显高于术后组[24.0%(6/25)]、全程组[12.0%(3/25)]和抗凝组[0(0/25)],差异均有统计学意义(P<0.05)。结论规范的踝泵运动可有效预防膝关节镜围手术期下肢深静脉血栓形成,踝泵运动经济、实用,值得推广应用。

涟钢6号高炉中修停炉及开炉操作

对涟钢6号高炉中修停炉及开炉操作进行了总结。采用回收煤气空料线打水方法停炉,将料面降到风口中心线,全程炉顶煤气H2、02含量控制较好,无爆震现象。在开炉操作中,精心计算开炉料,选择合适的全焦比,优化上下部操作制度,并通过采取中心加焦、在各铁口预埋氧枪、逐步捕开风口等措施,开炉过程整体稳顺。送风13h首次铁实现渣铁分离,第5天达产达效,第10天风量达到4650m^(3)/min,富氧量20000m^(3)/h,利用系数>3.0(m^(3)·d),日产量>6800d,燃料比大幅下降,煤气利用率稳步提高。