In this paper, we consider the eigenvalue problem of a class of fourth-order operator matrices appearing in mechan- ics, including the geometric multiplicity, algebraic index, and algebraic multiplicity of the eigenva...In this paper, we consider the eigenvalue problem of a class of fourth-order operator matrices appearing in mechan- ics, including the geometric multiplicity, algebraic index, and algebraic multiplicity of the eigenvalue, the symplectic orthogonality, and completeness of eigen and root vector systems. The obtained results are applied to the plate bending problem.展开更多
This paper deals with a class of upper triangular infinite-dimensional Hamilto- nian operators appearing in the elasticity theory. The geometric multiplicity and algebraic index of the eigenvalue are investigated. Fur...This paper deals with a class of upper triangular infinite-dimensional Hamilto- nian operators appearing in the elasticity theory. The geometric multiplicity and algebraic index of the eigenvalue are investigated. Furthermore, the algebraic multiplicity of the eigenvalue is obtained. Based on these properties, the concrete completeness formulation of the system of eigenvectors or root vectors of the Hamiltonian operator is proposed. It is shown that the completeness is determined by the system of eigenvectors of the operator entries. Finally, the applications of the results to some problems in the elasticity theory are presented.展开更多
The authors investigate the completeness of the system of eigen or root vectors of the 2×2 upper triangular infinite-dimensional Hamiltonian operator H 0.First,the geometrical multiplicity and the algebraic index...The authors investigate the completeness of the system of eigen or root vectors of the 2×2 upper triangular infinite-dimensional Hamiltonian operator H 0.First,the geometrical multiplicity and the algebraic index of the eigenvalue of H0 are considered.Next,some necessary and sufficient conditions for the completeness of the system of eigen or root vectors of H0 are obtained.Finally,the obtained results are tested in several examples.展开更多
Objective: To estimate the presence and the quantity of endotoxin of periodontally involved root surfaces after root surface debridement.Methods: Ninety single rooted teeth with severe bone resorption were selected,wh...Objective: To estimate the presence and the quantity of endotoxin of periodontally involved root surfaces after root surface debridement.Methods: Ninety single rooted teeth with severe bone resorption were selected,which were scheduled for extraction.The teeth were randomly assigned into 3 groups.The teeth in the first group were served as control and they did not receive any debridement.The teeth in the second group were scaled and root planned with Gracey curettes.The teeth in the third group were debrided with the new ultrasonic device VectorTM-system(Dürr Dental).The endotoxin concentrations before and after debridement were assessed by Limulus Amebocyte Lysat(LAL).Results: The concentration of endotoxin of periodontally involved teeth in the control group was 0.825 EU/ml.Scaling and root planning resulted in a significant reduction of the values as follows: Gracey curettes 0.240 EU/ml,VectorTM-system 0.184 EU/ml.Conclusion: Scaling and root planning leads to obvious reduction of the endotoxin on periodontally involved root surfaces and VectorTM-system is comparatively more effective than Gracey curettes.展开更多
故障根因分析旨在找到导致特定问题、故障或事件发生的原因,是多个领域中追踪溯源的重要支撑技术,但现有方法在效率、准确性和稳定性等方面仍不能满足故障根因分析任务的实际需求。对此,将贝叶斯网作为相关属性之间依赖关系表示和推理...故障根因分析旨在找到导致特定问题、故障或事件发生的原因,是多个领域中追踪溯源的重要支撑技术,但现有方法在效率、准确性和稳定性等方面仍不能满足故障根因分析任务的实际需求。对此,将贝叶斯网作为相关属性之间依赖关系表示和推理的知识框架,提出基于贝叶斯网的故障根因分析方法。首先,针对高维数据和稀疏样本带来的挑战,提出基于向量量化自编码器的高维属性约简算法,并给出α-BIC评分准则,高效地学习根因贝叶斯网(Root Cause Bayesian Network,RCBN)。随后,基于贝叶斯网嵌入技术实现RCBN的高效推理,高效计算各原因条件下故障产生的可能性,进而使用因果模型中的Blame机制度量各原因对给定故障的贡献度,从而实现故障根因分析。在3个公共数据集和3个合成数据集上的实验结果表明,所提方法的平均检测准确性和效率明显优于对比方法,在CHILD数据集上精度提升了7%,运行时间快了60%。展开更多
目的研究Vector系统进行牙周基础治疗的临床效果。方法采用口内自身对照方法,选择58例慢性牙周炎患者,口内A、D区设为试验组,B、C区设为对照组。所有患者行超声洁治后,试验组应用Vector系统行龈下刮治及根面平整术(scaling and root pla...目的研究Vector系统进行牙周基础治疗的临床效果。方法采用口内自身对照方法,选择58例慢性牙周炎患者,口内A、D区设为试验组,B、C区设为对照组。所有患者行超声洁治后,试验组应用Vector系统行龈下刮治及根面平整术(scaling and root planning,SRP),对照组应用Gracey刮治器械行SRP。对2组SRP的治疗时间,SRP前(基线期)及SRP后1、3、6个月的龈沟出血指数、探诊出血、探诊深度及附着水平进行比较,视觉模拟疼痛评级法(visual analogue scale,VAS)评定2组的疼痛程度。结果试验组每区的SRP治疗时间为(25.15±1.35)min,明显短于对照组的(40.11±1.08)min(Z=3.625,P<0.05)。SRP后各观察时点,2组的各项牙周指数较治疗前均有明显改善(P<0.05),但2组间各项牙周指数的差异均无统计学意义(P>0.05)。试验组SRP结束时(Zc=2.356,P<0.05)及治疗后1d(Zc=3.138,P<0.05)的VAS评分明显低于对照组。结论Vector系统能缩短临床操作时间,提高牙周基础治疗舒适度,有效改善慢性牙周炎的临床症状。展开更多
基金supported by the National Natural Science Foundation of China (Grant Nos. 11061019 and 10962004)the Chunhui Program of Ministry of Education of China (Grant No. Z2009-1-01010)+1 种基金the Natural Science Foundation of Inner Mongolia, China(Grant Nos. 2010MS0110 and 2009BS0101)the Cultivation of Innovative Talent of ‘211 Project’ of Inner Mongolia University
文摘In this paper, we consider the eigenvalue problem of a class of fourth-order operator matrices appearing in mechan- ics, including the geometric multiplicity, algebraic index, and algebraic multiplicity of the eigenvalue, the symplectic orthogonality, and completeness of eigen and root vector systems. The obtained results are applied to the plate bending problem.
基金supported by the National Natural Science Foundation of China (Nos. 11061019,10962004,11101200,and 11026175)the Chunhui Program of Ministry of Education of China (No. Z2009-1-01010)+1 种基金the Natural Science Foundation of Inner Mongolia of China (No. 2010MS0110)the Cultivation of Innovative Talent of "211 Project" of Inner Mongolia University
文摘This paper deals with a class of upper triangular infinite-dimensional Hamilto- nian operators appearing in the elasticity theory. The geometric multiplicity and algebraic index of the eigenvalue are investigated. Furthermore, the algebraic multiplicity of the eigenvalue is obtained. Based on these properties, the concrete completeness formulation of the system of eigenvectors or root vectors of the Hamiltonian operator is proposed. It is shown that the completeness is determined by the system of eigenvectors of the operator entries. Finally, the applications of the results to some problems in the elasticity theory are presented.
基金supported by the National Natural Science Foundation of China(Nos.10962004,11061019)the Specialized Research Fund for the Doctoral Program of Higher Education of China(No.20070126002)+1 种基金the Chunhui Program of the Ministry of Education of China(No.Z2009-1-01010)the Natural Science Foundation of Inner Mongolia(Nos.2009BS0101,2010MS0110)
文摘The authors investigate the completeness of the system of eigen or root vectors of the 2×2 upper triangular infinite-dimensional Hamiltonian operator H 0.First,the geometrical multiplicity and the algebraic index of the eigenvalue of H0 are considered.Next,some necessary and sufficient conditions for the completeness of the system of eigen or root vectors of H0 are obtained.Finally,the obtained results are tested in several examples.
文摘Objective: To estimate the presence and the quantity of endotoxin of periodontally involved root surfaces after root surface debridement.Methods: Ninety single rooted teeth with severe bone resorption were selected,which were scheduled for extraction.The teeth were randomly assigned into 3 groups.The teeth in the first group were served as control and they did not receive any debridement.The teeth in the second group were scaled and root planned with Gracey curettes.The teeth in the third group were debrided with the new ultrasonic device VectorTM-system(Dürr Dental).The endotoxin concentrations before and after debridement were assessed by Limulus Amebocyte Lysat(LAL).Results: The concentration of endotoxin of periodontally involved teeth in the control group was 0.825 EU/ml.Scaling and root planning resulted in a significant reduction of the values as follows: Gracey curettes 0.240 EU/ml,VectorTM-system 0.184 EU/ml.Conclusion: Scaling and root planning leads to obvious reduction of the endotoxin on periodontally involved root surfaces and VectorTM-system is comparatively more effective than Gracey curettes.
文摘故障根因分析旨在找到导致特定问题、故障或事件发生的原因,是多个领域中追踪溯源的重要支撑技术,但现有方法在效率、准确性和稳定性等方面仍不能满足故障根因分析任务的实际需求。对此,将贝叶斯网作为相关属性之间依赖关系表示和推理的知识框架,提出基于贝叶斯网的故障根因分析方法。首先,针对高维数据和稀疏样本带来的挑战,提出基于向量量化自编码器的高维属性约简算法,并给出α-BIC评分准则,高效地学习根因贝叶斯网(Root Cause Bayesian Network,RCBN)。随后,基于贝叶斯网嵌入技术实现RCBN的高效推理,高效计算各原因条件下故障产生的可能性,进而使用因果模型中的Blame机制度量各原因对给定故障的贡献度,从而实现故障根因分析。在3个公共数据集和3个合成数据集上的实验结果表明,所提方法的平均检测准确性和效率明显优于对比方法,在CHILD数据集上精度提升了7%,运行时间快了60%。
