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Study on Independent Supervision Function of Design Assurance System
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作者 SUI Lijun MA Congyao WANG Jianyuan 《International Journal of Plant Engineering and Management》 2024年第3期185-192,共8页
The effective operation of a design assurance system cannot be achieved without the effective performance of the independent supervision function.As one of the core functions of the design assurance system,the purpose... The effective operation of a design assurance system cannot be achieved without the effective performance of the independent supervision function.As one of the core functions of the design assurance system,the purpose of the independent supervision function is to ensure that the system operates within the scope of procedures and manuals.At present,the function of independent supervision is a difficult and confusing issue for various original equipment manufacturers as well as suppliers,and there is an urgent requirement to put forward relevant requirements and form relevant methods.Based on the above mentioned objective,the basic requirements of the independent supervision function of design assurance system were studied,the problems and deficiencies in the organization,staffing,and methods existing in the current independent supervision function were analyzed,the improvement suggestions and measures for the performance of the independent supervision function from the aspects of the organization,staffing,procedures,and suppliers were put forward.The present work and conclusions provide guidance and direction for the effective operation of the design assurance system. 展开更多
关键词 design of assurance systems independent supervision functions system operation internal audits SUPPLIERS
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Functional magnetic resonance imaging study of group independent components underpinning item responses to paranoid-depressive scale 被引量:1
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作者 Drozdstoy Stoyanov Rositsa Paunova +3 位作者 Julian Dichev Sevdalina Kandilarova Vladimir Khorev Semen Kurkin 《World Journal of Clinical Cases》 SCIE 2023年第36期8458-8474,共17页
BACKGROUND Our study expand upon a large body of evidence in the field of neuropsychiatric imaging with cognitive,affective and behavioral tasks,adapted for the functional magnetic resonance imaging(MRI)(fMRI)experime... BACKGROUND Our study expand upon a large body of evidence in the field of neuropsychiatric imaging with cognitive,affective and behavioral tasks,adapted for the functional magnetic resonance imaging(MRI)(fMRI)experimental environment.There is sufficient evidence that common networks underpin activations in task-based fMRI across different mental disorders.AIM To investigate whether there exist specific neural circuits which underpin differ-ential item responses to depressive,paranoid and neutral items(DN)in patients respectively with schizophrenia(SCZ)and major depressive disorder(MDD).METHODS 60 patients were recruited with SCZ and MDD.All patients have been scanned on 3T magnetic resonance tomography platform with functional MRI paradigm,comprised of block design,including blocks with items from diagnostic paranoid(DP),depression specific(DS)and DN from general interest scale.We performed a two-sample t-test between the two groups-SCZ patients and depressive patients.Our purpose was to observe different brain networks which were activated during a specific condition of the task,respectively DS,DP,DN.RESULTS Several significant results are demonstrated in the comparison between SCZ and depressive groups while performing this task.We identified one component that is task-related and independent of condition(shared between all three conditions),composed by regions within the temporal(right superior and middle temporal gyri),frontal(left middle and inferior frontal gyri)and limbic/salience system(right anterior insula).Another com-ponent is related to both diagnostic specific conditions(DS and DP)e.g.It is shared between DEP and SCZ,and includes frontal motor/language and parietal areas.One specific component is modulated preferentially by to the DP condition,and is related mainly to prefrontal regions,whereas other two components are significantly modulated with the DS condition and include clusters within the default mode network such as posterior cingulate and precuneus,several occipital areas,including lingual and fusiform gyrus,as well as parahippocampal gyrus.Finally,component 12 appeared to be unique for the neutral condition.In addition,there have been determined circuits across components,which are either common,or distinct in the preferential processing of the sub-scales of the task.CONCLUSION This study has delivers further evidence in support of the model of trans-disciplinary cross-validation in psychiatry. 展开更多
关键词 Paranoid-depressive scale functional magnetic resonance imaging Cross-validation Group independent component analysis Schizophrenia Depression
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Enhancing Proficiency in Quadratic Equations and Functions Through the MILAPlus Strategy
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作者 Rolando S.Merle 《Journal of Contemporary Educational Research》 2024年第1期221-232,共12页
This study investigates the efficacy of the Mathematics Independent Learning Activity Practice and Play Unite Scheme(MILAPlus)as an instructional strategy to improve the proficiency levels of Grade 9 students in quadr... This study investigates the efficacy of the Mathematics Independent Learning Activity Practice and Play Unite Scheme(MILAPlus)as an instructional strategy to improve the proficiency levels of Grade 9 students in quadratic equations and functions through a study carried out at Quezon National High School.The research involved 116 Grade 9 students and utilized a quantitative approach,incorporating both pre-assessment and post-assessment measures.The research utilizes a quasi-experimental design,examining the academic performance of students before and after the introduction of MILAPlus.The pre-assessment establishes a baseline,and the subsequent post-assessment measures the impact of the instructional strategy.Statistical analyses,including t-tests,assess the significance of differences in mean scores and mean percentage scores,providing quantitative insights into the effectiveness of MILAPlus.Findings from the study revealed a statistically significant improvement in both mean scores and mean percentage scores after the utilization of MILAPlus,indicating enhanced proficiency in quadratic equations and functions.The Mean Proficiency Scores(MPS)also showed a substantial increase,demonstrating a marked improvement in overall proficiency levels among Grade 9 students.In light of the results,recommendations were given including the continued utilization of MILAPlus as an instructional strategy and aligning its development with prescribed learning competencies.Emphasizing the consistent adherence to policies and guidelines for MILAPlus implementation is suggested for sustaining positive effects on students’long-term performance in mathematics.This research contributes valuable insights into the practical application and effectiveness of MILAPlus within the context of Grade 9 mathematics education at Quezon National High School. 展开更多
关键词 Mathematics independent Learning Activity Practice and Play Unite Scheme PROFICIENCY Quadratic equations and functions
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Altered intra- and inter-network brain functional connectivity in upper-limb amputees revealed through independent component analysis 被引量:2
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作者 Bing-Bo Bao Hong-Yi Zhu +6 位作者 Hai-Feng Wei Jing Li Zhi-Bin Wang Yue-Hua Li Xu-Yun Hua Mou-Xiong Zheng Xian-You Zheng 《Neural Regeneration Research》 SCIE CAS CSCD 2022年第12期2725-2729,共5页
Although cerebral neuroplasticity following amputation has been observed, little is understood about how network-level functional reorganization occurs in the brain following upper-limb amputation. The objective of th... Although cerebral neuroplasticity following amputation has been observed, little is understood about how network-level functional reorganization occurs in the brain following upper-limb amputation. The objective of this study was to analyze alterations in brain network functional connectivity(FC) in upper-limb amputees(ULAs). This observational study included 40 ULAs and 40 healthy control subjects;all participants underwent resting-state functional magnetic resonance imaging. Changes in intra-and inter-network FC in ULAs were quantified using independent component analysis and brain network FC analysis. We also analyzed the correlation between FC and clinical manifestations, such as pain. We identified 11 independent components using independent component analysis from all subjects. In ULAs, intra-network FC was decreased in the left precuneus(precuneus gyrus) within the dorsal attention network and left precentral(precentral gyrus) within the auditory network;but increased in the left Parietal_Inf(inferior parietal, but supramarginal and angular gyri) within the ventral sensorimotor network, right Cerebelum_Crus2(crus Ⅱ of cerebellum) and left Temporal_Mid(middle temporal gyrus) within the ventral attention network, and left Rolandic_Oper(rolandic operculum) within the auditory network. ULAs also showed decreased inter-network FCs between the dorsal sensorimotor network and ventral sensorimotor network, the dorsal sensorimotor network and right frontoparietal network, and the dorsal sensorimotor network and dorsal attention network. Correlation analyses revealed negative correlations between inter-network FC changes and residual limb pain and phantom limb pain scores, but positive correlations between inter-network FC changes and daily activity hours of stump limb. These results show that post-amputation plasticity in ULAs is not restricted to local remapping;rather, it also occurs at a network level across several cortical regions. This observation provides additional insights into the plasticity of brain networks after upper-limb amputation, and could contribute to identification of the mechanisms underlying post-amputation pain. 展开更多
关键词 AMPUTATION functional connectivity functional magnetic resonance imaging independent component analysis NEUROIMAGING phantom pain phantom sensation resting-state networks
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Resting-state brain network remodeling after different nerve reconstruction surgeries:a functional magnetic resonance imaging study in brachial plexus injury rats
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作者 Yunting Xiang Xiangxin Xing +6 位作者 Xuyun Hua Yuwen Zhang Xin Xue Jiajia Wu Mouxiong Zheng He Wang Jianguang Xu 《Neural Regeneration Research》 SCIE CAS 2025年第5期1495-1504,共10页
Distinct brain remodeling has been found after different nerve reconstruction strategies,including motor representation of the affected limb.However,differences among reconstruction strategies at the brain network lev... Distinct brain remodeling has been found after different nerve reconstruction strategies,including motor representation of the affected limb.However,differences among reconstruction strategies at the brain network level have not been elucidated.This study aimed to explore intranetwork changes related to altered peripheral neural pathways after different nerve reconstruction surgeries,including nerve repair,endto-end nerve transfer,and end-to-side nerve transfer.Sprague–Dawley rats underwent complete left brachial plexus transection and were divided into four equal groups of eight:no nerve repair,grafted nerve repair,phrenic nerve end-to-end transfer,and end-to-side transfer with a graft sutured to the anterior upper trunk.Resting-state brain functional magnetic resonance imaging was obtained 7 months after surgery.The independent component analysis algorithm was utilized to identify group-level network components of interest and extract resting-state functional connectivity values of each voxel within the component.Alterations in intra-network resting-state functional connectivity were compared among the groups.Target muscle reinnervation was assessed by behavioral observation(elbow flexion)and electromyography.The results showed that alterations in the sensorimotor and interoception networks were mostly related to changes in the peripheral neural pathway.Nerve repair was related to enhanced connectivity within the sensorimotor network,while end-to-side nerve transfer might be more beneficial for restoring control over the affected limb by the original motor representation.The thalamic-cortical pathway was enhanced within the interoception network after nerve repair and end-to-end nerve transfer.Brain areas related to cognition and emotion were enhanced after end-to-side nerve transfer.Our study revealed important brain networks related to different nerve reconstructions.These networks may be potential targets for enhancing motor recovery. 展开更多
关键词 brain functional networks end-to-end nerve transfer end-to-side nerve transfer independent component analysis nerve repair peripheral plexus injury resting-state functional connectivity
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Algebraic Independence Measures for the Values of Mahler Type Functions
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作者 WANG Tian-qin LIU Hua-ke 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第4期567-576,共10页
In this paper, we give the algebraic independence measures for the values ofMahler type functions in complex number field and p-adic number field, respectively.
关键词 algebraic independence measure Mahler type function p-adic number field
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An Improved Fixed-point Algorithm for Independent Component Analysis of Functional MRI Data
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作者 WENG Xiao-guang WANG Hui-nan QIAN Zhi-yu 《Chinese Journal of Biomedical Engineering(English Edition)》 2009年第2期78-83,共6页
The fixed-point algorithm and infomax algorithm are two of the most popular algorithms in independent component analysis(ICA).However,it is hard to take both stability and speed into consideration in processing functi... The fixed-point algorithm and infomax algorithm are two of the most popular algorithms in independent component analysis(ICA).However,it is hard to take both stability and speed into consideration in processing functional magnetic resonance imaging(fMRI)data.In this paper,an optimization model for ICA is presented and an improved fixed-point algorithm based on the model is proposed.In the new algorithms a small step size is added to increase the stability.In order to accelerate the convergence,an improvement on Newton method is made,which makes cubic convergence for the new algorithm.Applying the algorithm and two other algorithms to invivo fMRI data,the results show that the new algorithm separates independent components stably,which has faster convergence speed and less computation than the other two algorithms.The algorithm has obvious advantage in processing fMRI signal with huge data. 展开更多
关键词 independent component analysis(ICA) functional magnetic reasonance imaging(fMRI) Newton iteration
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Reliability Function of Non-independent Random Variables Subject to Two-Dimensional Standard Normal Distribution
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作者 Yangjing Chong Xinhui Zhou +2 位作者 Yutong Zhu Hailing Lan Yunfei Guo 《信息工程期刊(中英文版)》 2016年第4期93-98,共6页
关键词 可靠性 分发 标准 二维 非独立 随机 案例分析
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MART(Splitting-Merging Assisted Reliable)Independent Component Analysis for Extracting Accurate Brain Functional Networks
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作者 Xingyu He Vince D.Calhoun Yuhui Du 《Neuroscience Bulletin》 SCIE CAS CSCD 2024年第7期905-920,共16页
Functional networks(FNs)hold significant promise in understanding brain function.Independent component analysis(ICA)has been applied in estimating FNs from functional magnetic resonance imaging(fMRI).However,determini... Functional networks(FNs)hold significant promise in understanding brain function.Independent component analysis(ICA)has been applied in estimating FNs from functional magnetic resonance imaging(fMRI).However,determining an optimal model order for ICA remains challenging,leading to criticism about the reliability of FN estimation.Here,we propose a SMART(splitting-merging assisted reliable)ICA method that automatically extracts reliable FNs by clustering independent components(ICs)obtained from multi-model-order ICA using a simplified graph while providing linkages among FNs deduced from different-model orders.We extend SMART ICA to multi-subject fMRI analysis,validating its effectiveness using simulated and real fMRI data.Based on simulated data,the method accurately estimates both group-common and group-unique components and demonstrates robustness to parameters.Using two age-matched cohorts of resting fMRI data comprising 1,950 healthy subjects,the resulting reliable group-level FNs are greatly similar between the two cohorts,and interestingly the subject-specific FNs show progressive changes while age increases.Furthermore,both small-scale and large-scale brain FN templates are provided as benchmarks for future studies.Taken together,SMART ICA can automatically obtain reliable FNs in analyzing multi-subject fMRI data,while also providing linkages between different FNs. 展开更多
关键词 independent component analysis functional magnetic resonance imaging-Brain functional networks Clustering Multi-model-order
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Correlation Degree and Correlation Coefficient of Multi-Output Functions 被引量:1
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作者 JUGui-zhi ZHAOYa-qun 《Wuhan University Journal of Natural Sciences》 EI CAS 2005年第1期195-198,共4页
We present definitions of the correlation degree and correlation coefficient of multi-output functions. Two relationships about the correlation degree of multi-output functions are proved. One is between the correlati... We present definitions of the correlation degree and correlation coefficient of multi-output functions. Two relationships about the correlation degree of multi-output functions are proved. One is between the correlation degree and independency, the other is between the correlation degree and balance. Especially the paper discusses the correlation degree of affine multioutput functions. We demonstrate properties of the correlation coefficient of multi-output functions. One is the value range of the correlation coefficient, one is the relationship between the correlation coefficient and independency, and another is the sufficient and necessary condition that two multi-output functions are equivalent to each other. 展开更多
关键词 Key words multi output functions independency correlation degree BALANCE correlation coefficient
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Interference of Independent Inhomogeneous Bose Condensates via Continuous Measurement
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作者 LI Chuan-feng GUO Guang-can 《Chinese Physics Letters》 SCIE CAS CSCD 1999年第12期864-866,共3页
Continuous measurement theory is generalized to inhomogeneous case via the Wigner function. Applying it to two independent condensates shows that a relative phase builds up via the measurement at the expense of a decr... Continuous measurement theory is generalized to inhomogeneous case via the Wigner function. Applying it to two independent condensates shows that a relative phase builds up via the measurement at the expense of a decrease of the interference pattern visibility. A general pattern depending on the wave functions of the condensates is provided which can be applied to other nonlocal quantum system. 展开更多
关键词 function. independent INHOMOGENEOUS
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Multi-state Information Dimension Reduction Based on Particle Swarm Optimization-Kernel Independent Component Analysis
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作者 邓士杰 苏续军 +1 位作者 唐力伟 张英波 《Journal of Donghua University(English Edition)》 EI CAS 2017年第6期791-795,共5页
The precision of the kernel independent component analysis( KICA) algorithm depends on the type and parameter values of kernel function. Therefore,it's of great significance to study the choice method of KICA'... The precision of the kernel independent component analysis( KICA) algorithm depends on the type and parameter values of kernel function. Therefore,it's of great significance to study the choice method of KICA's kernel parameters for improving its feature dimension reduction result. In this paper, a fitness function was established by use of the ideal of Fisher discrimination function firstly. Then the global optimal solution of fitness function was searched by particle swarm optimization( PSO) algorithm and a multi-state information dimension reduction algorithm based on PSO-KICA was established. Finally,the validity of this algorithm to enhance the precision of feature dimension reduction has been proven. 展开更多
关键词 kernel independent component analysis(KICA) particle swarm optimization(PSO) feature dimension reduction fitness function
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ALGEBRAIC DIFFERENTIAL INDEPENDENCE CONCERNING THE EULER Γ-FUNCTION AND DIRICHLET SERIES
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作者 Wei CHEN Qiong WANG 《Acta Mathematica Scientia》 SCIE CSCD 2020年第4期1035-1044,共10页
This article investigates the algebraic differential independence concerning the Euler Γ-function and the function F in a certain class F which contains Dirichlet L-functions,L-functions in the extended Selberg class... This article investigates the algebraic differential independence concerning the Euler Γ-function and the function F in a certain class F which contains Dirichlet L-functions,L-functions in the extended Selberg class, or some periodic functions. We prove that the EulerΓ-function and the function F cannot satisfy any nontrivial algebraic differential equations whose coefficients are meromorphic functions Ø with ρ(Ø) < 1. 展开更多
关键词 Gamma function L-functions algebraic differential independence algebraic differential equations
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Independent Roman{2}-Domination in Trees
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作者 LI Bei-bei SHANG Wei-ping 《Chinese Quarterly Journal of Mathematics》 2022年第4期386-393,共8页
For a graph G=(V,E),a Roman{2}-dominating function f:V→{0,1,2}has the property that for every vertex v∈V with f(v)=0,either v is adjacent to at least one vertex u for which f(u)=2,or at least two vertices u1 and u2 ... For a graph G=(V,E),a Roman{2}-dominating function f:V→{0,1,2}has the property that for every vertex v∈V with f(v)=0,either v is adjacent to at least one vertex u for which f(u)=2,or at least two vertices u1 and u2 for which f(u1)=f(u2)=1.A Roman{2}-dominating function f=(V0,V1,V2)is called independent if V1∪V2 is an independent set.The weight of an independent Roman{2}-dominating function f is the valueω(f)=Σv∈V f(v),and the independent Roman{2}-domination number i{R2}(G)is the minimum weight of an independent Roman{2}-dominating function on G.In this paper,we characterize all trees with i{R2}(T)=γ(T)+1,and give a linear time algorithm to compute the value of i{R2}(T)for any tree T. 展开更多
关键词 Domination number Roman{2}-dominating function independent Roman{2}-domination number
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Two Dimensional Spatial Independent Component Analysis and Its Application in fMRI Data Process
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作者 陈华富 尧德中 《Journal of Electronic Science and Technology of China》 2005年第3期231-233,237,共4页
One important application of independent component analysis (ICA) is in image processing. A two dimensional (2-D) composite ICA algorithm framework for 2-D image independent component analysis (2-D ICA) is propo... One important application of independent component analysis (ICA) is in image processing. A two dimensional (2-D) composite ICA algorithm framework for 2-D image independent component analysis (2-D ICA) is proposed. The 2-D nature of the algorithm provides it an advantage of circumventing the roundabout transforming procedures between two dimensional (2-D) image deta and one-dimensional (l-D) signal. Moreover the combination of the Newton (fixed-point algorithm) and natural gradient algorithms in this composite algorithm increases its efficiency and robustness. The convincing results of a successful example in functional magnetic resonance imaging (fMRI) show the potential application of composite 2-D ICA in the brain activity detection. 展开更多
关键词 independent component analysis image processing composite 2-D ICA algorithm functional magnetic resonance imaging
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A NEW METHOD FOR STRUCTURAL TOPOLOGICAL OPTIMIZATION BASED ON THE CONCEPT OF INDEPENDENT CONTINUOUS VARIABLES AND SMOOTH MODEL 被引量:83
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作者 隋允康 杨德庆 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1998年第2期179-185,共7页
A concept of the independent-continuous topological variable is proposed to establish its corresponding smooth model of structural topological optimization. The method can overcome difficulties that are encountered in... A concept of the independent-continuous topological variable is proposed to establish its corresponding smooth model of structural topological optimization. The method can overcome difficulties that are encountered in conventional models and algorithms for the optimization of the structural topology. Its application to truss topological optimization with stress and displacement constraints is satisfactory, with convergence faster than that of sectional optimizations. 展开更多
关键词 structural topological optimization smooth model adaptive algorithm truss structure independent-continuous variable filter function
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基于独立成分分析重症肌无力患者的静息态默认网络的功能连接改变及其与认知障碍的相关性 被引量:1
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作者 朱峰 周笑灵 +8 位作者 主云飞 陈祥 归甜甜 肖辛怡 段颖慧 高晗清 段晓宇 李勇刚 薛群 《中国神经免疫学和神经病学杂志》 CAS 2024年第3期167-173,共7页
目的研究重症肌无力(myasthenia gravis,MG)患者大脑默认网络(default mode network,DMN)功能连接的改变,以及DMN和认知功能的关系。方法前瞻性纳入2020年1月至2022年12月就诊于苏州大学附属第一医院神经内科的MG患者39例,另选取同期性... 目的研究重症肌无力(myasthenia gravis,MG)患者大脑默认网络(default mode network,DMN)功能连接的改变,以及DMN和认知功能的关系。方法前瞻性纳入2020年1月至2022年12月就诊于苏州大学附属第一医院神经内科的MG患者39例,另选取同期性别、年龄、受教育年限、种族与MG患者匹配的40名健康志愿者作为健康对照组。对所有受试者进行神经心理学测试、情绪评估及静息态磁共振功能扫描。采用独立成分分析技术评估受试者大脑DMN的功能连接变化。采用Spearman相关性分析MG患者差异脑区的DMN的功能连接值与认知功能的相关性。结果MG组整体认知功能〔简易精神状态量表(MMSE)和蒙特利尔认知评估量表(MoCA)评分〕、言语学习和记忆能力(Rey听觉词语学习测验、词语流畅性测试)、视空间功能(钟表测试)评分均较对照组降低(均P<0.01);在执行能力测试方面,MG组连线功能测试完成时间长于对照组(P<0.01);MG组汉密尔顿焦虑量表和汉密尔顿抑郁量表评分均高于对照组(P<0.01)。独立成分分析结果显示,MG患者的DMN内功能连接在左后扣带回比对照组减弱(P<0.05,经过FDR校正)。MG患者的DMN内左后扣带回功能连接值与MMSE评分、数字符号转换测验评分呈正相关(P<0.05),而与连线测验A和B时间呈负相关(P<0.05)。结论MG患者在整体认知功能、言语学习和记忆力、视空间功能和执行功能方面下降,在左后扣带回的DMN内功能连接减弱,差异脑区在DMN内功能连接值与认知评分存在相关性,提示MG患者的认知功能损害可能与中枢神经系统受累有关。 展开更多
关键词 重症肌无力 默认网络 认知障碍 认知功能 独立成分分析
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异地独立董事与上市公司高质量发展——基于高铁通车与独立董事履职的视角
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作者 庄德林 李楠 +1 位作者 王琼 聂晓欣 《金融发展研究》 北大核心 2024年第5期82-92,共11页
独立董事的尽责履职对推动上市公司高质量发展具有重要意义。文章以2004—2020年我国A股上市公司为样本,从独立董事履职的视角,对异地独立董事如何影响上市公司高质量发展进行了实证研究,并考察了高铁通车在其中的调节作用。研究发现,... 独立董事的尽责履职对推动上市公司高质量发展具有重要意义。文章以2004—2020年我国A股上市公司为样本,从独立董事履职的视角,对异地独立董事如何影响上市公司高质量发展进行了实证研究,并考察了高铁通车在其中的调节作用。研究发现,异地独立董事对上市公司高质量发展具有显著负向影响,高铁通车则有效缓解了这一影响。机制检验发现,异地独立董事因为监督、咨询和决策无效而不利于上市公司高质量发展,高铁通车则主要通过改善监督和咨询职能的发挥,缓解上述不利影响。进一步研究发现,高铁通车后不同背景特征的异地独立董事对上市公司高质量发展存在差异化影响。具体而言,高铁开通后,具有行业专长、学术背景、海外背景的异地独立董事比例与上市公司高质量发展显著正相关;而不论高铁是否开通,具有法律、财务背景的异地独立董事比例与上市公司高质量发展显著负相关。 展开更多
关键词 异地独立董事 高质量发展 高铁通车 监督职能 咨询职能 决策职能
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关于函数逼近法理论的一点认识
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作者 郑素佩 宋学力 封建湖 《高等数学研究》 2024年第4期90-94,104,共6页
现有教材中常将本质相同的连续函数最佳平方逼近问题、离散数据最小二乘曲线拟合问题分开阐述.本文重新组织现有理论结构给出一般性结论同时也阐述两类问题的区别——最小二乘法思想在空间理论上的统一、同一向量组在不同线性空间中线... 现有教材中常将本质相同的连续函数最佳平方逼近问题、离散数据最小二乘曲线拟合问题分开阐述.本文重新组织现有理论结构给出一般性结论同时也阐述两类问题的区别——最小二乘法思想在空间理论上的统一、同一向量组在不同线性空间中线性无关性表达形式的不同、元素在不同线性空间上内积表达式的差异.最后通过例题说明两类问题求解步骤的统一——连续函数最佳平方逼近也需要“造型”,并通过实例显示同一向量组的线性无关性在不同空间中的具体表现.这种新的知识点组织方式即避免了相同公式的重复性推导,又可使学生通过比较学习避免混淆便于理解. 展开更多
关键词 函数逼近法 空间 内积 造型 线性无关性
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功能主义趋势下保证金账户担保的去典型化研究
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作者 刘英 舒馨仪 《南海法学》 2024年第3期117-124,共8页
《民法典》的出台使保证金账户担保的性质实现了从典型担保到非典型担保的跨越,但在司法实践中,保证金账户担保的法律性质和具体规则难以摆脱典型担保对其根深蒂固的影响,究其原因在于我国立法受德国民法教义学影响深远,将担保权归属于... 《民法典》的出台使保证金账户担保的性质实现了从典型担保到非典型担保的跨越,但在司法实践中,保证金账户担保的法律性质和具体规则难以摆脱典型担保对其根深蒂固的影响,究其原因在于我国立法受德国民法教义学影响深远,将担保权归属于物权阻碍了担保功能的发挥。因此,应当回归担保权优先受偿的本质功能,弱化保证金账户的担保客体的特定化要求,强化保证金账户担保的公示,使保证金账户担保真正“去典型化”。 展开更多
关键词 功能主义 保证金账户担保 去典型化
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