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Construction theory of dyadic scale function and dyadic wavelet function
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作者 冉启文 冯英浚 孙学全 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2000年第4期25-27,共3页
We derive the conditions for the existence of the unique solution of the two scale integral equation and the form of the solution, according to the method of the construction of the dyadic scale function. We give the ... We derive the conditions for the existence of the unique solution of the two scale integral equation and the form of the solution, according to the method of the construction of the dyadic scale function. We give the construction of the dyadic wavelet and its necessary and sufficient condition. As an application, we also develop a pyramid algorithm of the dyadic wavelet decomposition. 展开更多
关键词 two scale INTEGRAL equation DYADIC WAVELET function DYADIC scale function PYRAMID algorithm
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Stable computations of the spherically layered media theory with high lossy media by using scaled Bessel functions
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作者 Jia-Hui Wang Bo O.Zhu 《Journal of Electronic Science and Technology》 2025年第1期22-34,共13页
The spherically layered media theory has wide applications for electromagnetic wave scattering analysis.Due to the involved Bessel functions,the conventional formulations of spherically layered media theory suffer fro... The spherically layered media theory has wide applications for electromagnetic wave scattering analysis.Due to the involved Bessel functions,the conventional formulations of spherically layered media theory suffer from numerical overflow or underflow when the Bessel function’s order is large,the argument is small or the argument has a large imaginary part.The first two issues have been solved recently by employing small-argument asymptotic formulas of Bessel functions,while the third issue remains unsolved.In this paper,the Bessel functions in the conventional formulation of the theory are replaced by scaled Bessel functions which have good numerical properties for high loss media,and stable formulas are derived.Numerical tests show that this approach can work properly with very high lossy media.Also,this approach can be seamlessly combined with the stable computation method for cases of small argument and large order of Bessel functions. 展开更多
关键词 Lossy media Numerical stability scaled Bessel function Spherically layered media theory
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POLY-SCALE REFINABLE FUNCTION AND THEIR PROPERTIES
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作者 杨守志 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第12期1687-1695,共9页
Poly-scale refinable function with dilation factor a is introduced. The existence of solution of poly-scale refinable equation is investigated. Specially, necessary and sufficient conditions for the orthonormality of ... Poly-scale refinable function with dilation factor a is introduced. The existence of solution of poly-scale refinable equation is investigated. Specially, necessary and sufficient conditions for the orthonormality of solution function Ф of poly-scale refinable equation with integer dilation factor a are established. Some properties of poly-scale refinable function are discussed. Several examples illustrating how to use the method to construct poly-scale refinable function are given. 展开更多
关键词 poly-scale function dilation factor poly-scale functional equation
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Gait and Glasgow Coma Scale scores can predict functional recovery in patients with traumatic brain injury 被引量:3
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作者 Sevil Bilgin Arzu Guclu-Gunduz +2 位作者 Hakan Oruckaptan Nezire Kose Bülent Celik 《Neural Regeneration Research》 SCIE CAS CSCD 2012年第25期1978-1984,共7页
Fifty-one patients with mild (n -- 14), moderate (n = 10) and severe traumatic brain injury (n = 27) received early rehabilitation. Level of consciousness was evaluated using the Glasgow Coma Score Functional le... Fifty-one patients with mild (n -- 14), moderate (n = 10) and severe traumatic brain injury (n = 27) received early rehabilitation. Level of consciousness was evaluated using the Glasgow Coma Score Functional level was determined using the Glasgow Outcome Score, whilst mobility was evaluated using the Mobility Scale for Acute Stroke. Activities of daily living were assessed using the Barthel Index. Following Bobath neurodevelopmental therapy, the level of consciousness was significantly improved in patients with moderate and severe traumatic brain injury, but was not greatly influenced in patients with mild traumatic brain injury. Mobility and functional level were significantly improved in patients with mild, moderate and severe traumatic brain injury. Gait recovery was more obvious in patients with mild traumatic brain injury than in patients with moderate and severe traumatic brain injury. Activities of daily living showed an improvement but this was insignificant except for patients with severe traumatic brain injury. Nevertheless, complete recovery was not acquired at discharge. Multiple regression analysis showed that gait and Glasgow Coma Scale scores can be considered predictors of functional outcomes following traumatic brain injury. 展开更多
关键词 brain injury traumatic brain injury REHABILITATION early rehabilitation function PROGNOSIS GlasgowComa scale Glasgow Outcome scale functional level neural regeneration
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Multi-scale analysis of the spatial structure of China’s major function zoning 被引量:9
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作者 WANG Yafei FAN Jie 《Journal of Geographical Sciences》 SCIE CSCD 2020年第2期197-211,共15页
The spatial structures of China’s Major Function Zoning are important constraining indicators in all types of spatial planning and key parameters for accurately downscaling major functions.Taking the proportion of ur... The spatial structures of China’s Major Function Zoning are important constraining indicators in all types of spatial planning and key parameters for accurately downscaling major functions.Taking the proportion of urbanization zones,agricultural development zones and ecological security zones as the basic parameter,this paper explores the spatial structures of major function zoning at different scales using spatial statistics,spatial modeling and landscape metrics methods.The results show:First,major function zones have spatial gradient structures,which are prominently represented by latitudinal and longitudinal gradients,a coastal distance gradient,and an eastern-central-western gradient.Second,the pole-axis system structure and core-periphery structure exist at provincial scales.The general principle of the pole-axis structure is that as one moves along the distance axis,the proportion of urbanization zones decreases and the proportion of ecological security zones increases.This also means that the proportion of different function zones has a ring-shaped spatial differentiation principle with distance from the core.Third,there is a spatial mosaic structure at the city and county scale.This spatial mosaic structure has features of both spatial heterogeneity,such as agglomeration and dispersion,as well as of mutual,adjacent topological correlation and spatial proximity.The results of this study contribute to scientific knowledge on major function zones and the principles of spatial organization,and it acts as an important reference for China’s integrated geographical zoning. 展开更多
关键词 China major function zoning MULTI-scale spatial gradient pole-axis CORE-PERIPHERY spatial mosaic
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Positively Worded Subscale Score of the Perceived Stress Scale Is Associated with Cognitive Domain Function
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作者 Julie M. Jiang Elizabeth K. Seng +2 位作者 Molly E. Zimmerman Mimi Kim Richard B. Lipto 《Journal of Behavioral and Brain Science》 2017年第7期311-324,共14页
Objectives: To examine the cross-sectional associations of the separate subscales of the Perceived Stress Scale (PSS) and tests measuring cognitive domains in older adults. Methods: 897 adults over the age of 70 free ... Objectives: To examine the cross-sectional associations of the separate subscales of the Perceived Stress Scale (PSS) and tests measuring cognitive domains in older adults. Methods: 897 adults over the age of 70 free of amnestic mild cognitive impairment and dementia and enrolled in the Einstein Aging Study made up the study sample. The PSS-14 was used to measure stress. Three cognitive domains (language, episodic memory, and frontal-executive) had previously been found using principle component analysis. Linear regression analyses were used to determine the relationship between the PSS subscales and cognitive domain function. Results: The study sample had a mean age of 79.1 years and 62.8% were female. Bivariate correlations show that the PSS-14 positively worded subscale of the PSS (PSS-PW) was significantly associated with all three cognitive domains (language: r = -0.15, p < 0.001;episodic memory: r = -0.16, p < 0.001;frontal-executive: r = -0.21, p <0.001) while the negatively worded subscale of the PSS (PSS-NW) was not significantly associated with any cognitive domain. In linear regression analyses adjusted for age, white race, gender, years of education, and depressive symptoms, the PSS-PW remained significantly associated with each of the cognitive domains. The PSS-NW was not associated with any cognitive domains in any model. The PSS-14 was significantly associated with language and episodic memory, but not the frontal-executive domain. Conclusion: Worse PSS-PW scores are associated with reduced cognitive function in the executive, memory, and language domains in nondemented older adults. The PSS-PW subscale correlated better with cognitive function than the overall PSS-14. Future research should evaluate the temporality of the association and if stress reduction therapies improve cognitive performance. 展开更多
关键词 PERCEIVED STRESS scale Cognitive Domain function CROSS-SECTIONAL PERCEIVED STRESS scale Subscales
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GU'S FUNCTION SCALE OF ION HYDRATION FORCE AND CHARGE SIZE
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作者 顾宏堪 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 1997年第2期186-191,共6页
Water Vapor Chemistry" as a new science was discovered and established from trace analysis in Gu’s laboratory(Gu, 1991; Gu et al., 1991). Gu’s Function shows that the trace metal ion concentration in water vapo... Water Vapor Chemistry" as a new science was discovered and established from trace analysis in Gu’s laboratory(Gu, 1991; Gu et al., 1991). Gu’s Function shows that the trace metal ion concentration in water vapor has positive correlation to"specific electron affinity constant"last ionization potential Iz/ion valence Z and negative correlation to ion volume V and coordination number N(Gu, 1994). Gu’s Func-tion C=f[(Iz/Z)/VN]of the bond parameter in water vapor chemistry corresponds to the potential energy function Z’ e2/r in the Schrodinger Equation of quantum chemistry. In different ions with the same 2+ charge, the ion concentration of water-water vapor transfer may be much different. This shows that the 2+ charge of different ions has different attractive force (hydration force). This different attractive force of the charge can be scaled with the relative energy or charge size from Gu’s Function. 展开更多
关键词 water vapor chemistry Gu′s function scale ION hydration FORCE ION CHARGE SIZE
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Quadratic Lyapunov Function and Exponential Dichotomy on Time Scales
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作者 ZHANG JI LIU ZHEN-XIN 《Communications in Mathematical Research》 CSCD 2011年第1期24-36,共13页
In this paper, we study the relationship between exponential dichotomy and quadratic Lyapunov function for the linear equation x△=A(t)x on time scales. Moreover, for the nonlinear perturbed equation x△= A(t)x ... In this paper, we study the relationship between exponential dichotomy and quadratic Lyapunov function for the linear equation x△=A(t)x on time scales. Moreover, for the nonlinear perturbed equation x△= A(t)x + f(t, x) we give the instability of the zero solution when f is sufficiently small. 展开更多
关键词 quadratic Lyapunov function exponential dichotomy time scale INSTABILITY
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EXISTENCE OF PERIODIC SOLUTIONS TO A SYSTEM WITH FUNCTIONAL RESPONSE ON TIME SCALES
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作者 Zhenjie Liu 《Analysis in Theory and Applications》 2009年第4期369-380,共12页
This paper investigates the existence of periodic solutions of a three-species food-chain diffusive system with Beddington-DeAngelis functional responses and time delays in a two-patch environment on time scales. By u... This paper investigates the existence of periodic solutions of a three-species food-chain diffusive system with Beddington-DeAngelis functional responses and time delays in a two-patch environment on time scales. By using a continuation theorem based on coincidence degree theory, we obtain sufficient criteria for the existence of periodic solutions for the system. Moreover, when the time scale T is chosen as R or Z, the existence of the periodic solutions of the corresponding continuous and discrete models follows. Therefore, the method is unified to provide the existence of the desired solutions for continuous differential equations and discrete difference equations. 展开更多
关键词 time scale food-chain system Beddington-DeAngelis functional response diffusion coincidence degree
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Evaluation of Differential Item Functioning of the Center of Epidemiological Scale Depression Revisited for Gender in Mexican Adolescents
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作者 Jesus Rafael Osomo Mungula Herminia Beatriz Segura Celis Ochoa +1 位作者 Alma Gloria Vallejo Casarin Patricia Andrade Palos 《Psychology Research》 2013年第4期232-241,共10页
关键词 性别差异 流行病学 抑郁症 青少年 墨西哥 评价 研究人员 项目运作
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A Note on an Economic Lot-sizing Problem with Perishable Inventory and Economies of Scale Costs:Approximation Solutions and Worst Case Analysis 被引量:2
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作者 Qing-Guo Bai Yu-Zhong Zhang Guang-Long Dong 《International Journal of Automation and computing》 EI 2010年第1期132-136,共5页
This paper presents an economic lot-sizing problem with perishable inventory and general economies of scale cost functions. For the case with backlogging allowed, a mathematical model is formulated, and several proper... This paper presents an economic lot-sizing problem with perishable inventory and general economies of scale cost functions. For the case with backlogging allowed, a mathematical model is formulated, and several properties of the optimal solutions are explored. With the help of these optimality properties, a polynomial time approximation algorithm is developed by a new method. The new method adopts a shift technique to obtain a feasible solution of subproblem and takes the optimal solution of the subproblem as an approximation solution of our problem. The worst case performance for the approximation algorithm is proven to be (4√2 + 5)/7. Finally, an instance illustrates that the bound is tight. 展开更多
关键词 Economic lot-sizing problem BACKLOGGING economies of scale function PERISHABLE approximation algorithm
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基于加权Ripley's K-function的多尺度景观格局分析——以江苏盐城滨海湿地为例 被引量:13
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作者 张东菊 左平 邹欣庆 《生态学报》 CAS CSCD 北大核心 2015年第8期2703-2711,共9页
以1987,1992,1997,2002,2007年的遥感影像为例,首次尝试使用加权Ripley's K-function的多尺度格局分析方法,计算了20年来景观异质性在江苏盐城滨海湿地的时间变化和空间分布趋势。通过对研究区的样带划分以及景观类型的点状化处理,... 以1987,1992,1997,2002,2007年的遥感影像为例,首次尝试使用加权Ripley's K-function的多尺度格局分析方法,计算了20年来景观异质性在江苏盐城滨海湿地的时间变化和空间分布趋势。通过对研究区的样带划分以及景观类型的点状化处理,建立滨海湿地样带图层和1987—2007年间各类型景观的点格局数据库,从而分析滨海湿地不同类型景观的空间聚集特征变化。基于加权Ripley's K-function的计算表明,在各级空间尺度和时间变化上,各类型湿地的斑块都呈现出空间聚集分布状态,且1987年以来,不同湿地类型的聚集空间特征尺度和空间分布强度均出现了大幅的增减变化,除互花米草滩之外的自然湿地的聚集空间特征尺度和强度都有明显下降甚至少到无法被检测到,而人工湿地却呈现聚集特征尺度和强度的双增长,且该聚集程度有逐渐增强的趋势。分析表明,既考虑样点的空间位置信息又考虑样点分布范围的加权Ripley's K-function方法能很好地表征湿地景观在多尺度上的变异,且与传统空间景观指数等分析方法的结论在一定程度上保持一致。 展开更多
关键词 盐城滨海湿地 景观空间格局 多尺度空间聚集分析 加权Ripley’s K-function 空间特征尺度 空间分布强度
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A Systemic-Functional Approach to English Ambiguity
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作者 张静 《海外英语》 2014年第6X期254-255,共2页
This thesis chooses the theory of rank scale and the theory of meta-function in the framework of Systemic-Functional Grammar(SFG)to study ambiguity.It firstly analyzes ambiguities occurring at the rank of morpheme,wor... This thesis chooses the theory of rank scale and the theory of meta-function in the framework of Systemic-Functional Grammar(SFG)to study ambiguity.It firstly analyzes ambiguities occurring at the rank of morpheme,word or phrase.Then it studies ambiguities at the rank of clause,from ideational ambiguity to textual ambiguity.This study shows that SFG can give a systematic and comprehensive interpretation of English ambiguity. 展开更多
关键词 English AMBIGUITY SFG RANK scale meta-function
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4-Scale几何光学模型冠层反射率模拟的空间尺度适用性 被引量:3
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作者 魏萌 范文义 +3 位作者 张海军 于颖 吴国明 程腾辉 《应用生态学报》 CAS CSCD 北大核心 2023年第3期605-613,共9页
明确4-Scale模型模拟森林冠层反射率适用的空间尺度,有助于提高其应用于不同植被类型冠层反射率模拟时的精度,进而提升其开展叶面积指数、郁闭度和其他参数的反演精度。以黑龙江省尚志市帽儿山实验林场2块100 m×100 m森林样地(阔... 明确4-Scale模型模拟森林冠层反射率适用的空间尺度,有助于提高其应用于不同植被类型冠层反射率模拟时的精度,进而提升其开展叶面积指数、郁闭度和其他参数的反演精度。以黑龙江省尚志市帽儿山实验林场2块100 m×100 m森林样地(阔叶林与混交林各一块)为研究对象,分别分割为10、20、30、40和50 m空间尺度,使用4-Scale模型模拟森林冠层反射率,采用局部平均法、最邻近法、双线性内插法和立方卷积法对空间分辨率为10 m的Sentinel-2影像升尺度转换至其他尺度并评价,对比分析模拟冠层反射率和遥感像元反射率,明确混交林和阔叶林适合4-Scale模型高精度反演参数的空间尺度。结果表明:4-Scale模型整体低估了像元森林冠层反射率,混交林和阔叶林冠层反射率在20 m尺度的模拟效果均最差,红光波段和近红外波段的均方根误差(RMSE)和平均绝对偏差(MAE)均较大;>20 m尺度的模拟效果开始变好,混交林40 m、阔叶林30 m时模型的适用性最佳,红光波段和近红外波段下,模拟值与遥感像元反射率之差的均值和标准差最小,RMSE和MAE同样最小;10 m尺度混交林和阔叶林模拟结果均不稳定,均值与标准差的规律不一致,相同波段下的RMSE和MAE差距较大。 展开更多
关键词 4-scale模型 森林冠层反射率 尺度效应 光谱响应函数 尺度转换
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2-D NONSEPARABLE SCALING FUNCTIONINTERPOLATION AND APPROXIMATION 被引量:1
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作者 En-Bing, Lin Yi Ling (Department of Mathematics. University of Toledo, Toledo, OH .43606, USA) 《Acta Mathematica Scientia》 SCIE CSCD 2002年第1期19-31,共13页
The authors introduce nonseparable scaling function interpolation and show that its approximation can provide similar convergence properties as scalar wavelet system. Several equivalent statements of accuracy of nonse... The authors introduce nonseparable scaling function interpolation and show that its approximation can provide similar convergence properties as scalar wavelet system. Several equivalent statements of accuracy of nonseparable scaling function are also given. In the numerical experiments, it appears that nonseparable scaling function interpolation has better convergence results than scalar wavelet systems in some cases. 展开更多
关键词 WAVELETS nonseparable scaling function INTERPOLATION accuracy of scaling function. 2-D MRA
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Notes on the Scaling Function 被引量:2
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作者 WUHua-an ZHANGGui-zhen 《Chinese Quarterly Journal of Mathematics》 CSCD 2004年第2期188-191,共4页
Two properties are given in this paper about the scaling function: suppose Vj; j ∈ Z is a multiresolution analysis with a continuous scaling function φ which have compact support set and that φ the Fourier transfor... Two properties are given in this paper about the scaling function: suppose Vj; j ∈ Z is a multiresolution analysis with a continuous scaling function φ which have compact support set and that φ the Fourier transform of φ is a continuous real function, compactly supported, then φ(0) ≠ 0 and when supp φ = [a1,b1]∪[a2,b2](b1 < a2,0 < a2), then we havea1 ≤ 0, 0 < b1, a1 < b2/2 ≤ b1, 2π < b2 - a1 ≤ 8π. 展开更多
关键词 multiresolution analysis scaling function Fourier transform
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Wavelet-Based Fractal Function Approximation 被引量:1
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作者 Zhang Hejei Tao Ran Zhou Siyong & Wang Yue(Department of Electronic Engineering, Beijing Institute of Technology, 100081, P. R. China) 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1999年第4期60-66,共7页
In this paper, we study on the application of radical B-spline wavelet scaling function in fractal function approximation system. The paper proposes a wavelet-based fractal function approximation algorithm in which th... In this paper, we study on the application of radical B-spline wavelet scaling function in fractal function approximation system. The paper proposes a wavelet-based fractal function approximation algorithm in which the coefficients can be determined by solving a convex quadraticprogramming problem. And the experiment result shows that the approximation error of this algorithm is smaller than that of the polynomial-based fractal function approximation. This newalgorithm exploits the consistency between fractal and scaling function in multi-scale and multiresolution, has a better approximation effect and high potential in data compression, especially inimage compression. 展开更多
关键词 B-SPLINE Wavelet scaling function Fractal function APPROXIMATION Quadratic programming.
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Modified scaling function projective synchronization of chaotic systems 被引量:1
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作者 徐玉华 周武能 方建安 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第9期110-114,共5页
This paper investigates a kind of modified scaling function projective synchronization of uncertain chaotic systems using an adaptive controller. The given scaling function in the new method can be an equilibrium poin... This paper investigates a kind of modified scaling function projective synchronization of uncertain chaotic systems using an adaptive controller. The given scaling function in the new method can be an equilibrium point; a periodic orbit, or even a chaotic attractor in the phase space. Based on LaSalle's invariance set principle, the adaptive control law is derived to make the states of two chaotic systems function projective synchronized. Some numerical examples are also given to show the effectiveness of the proposed method. 展开更多
关键词 chaotic system function projective synchronization scaling function
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Corrections to the scaling of the second-order structure function in isotropic turbulence 被引量:6
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作者 Le Fang Wouter J. T. Bos +2 位作者 Xiaozhou Zhou Liang Shao Jean-Pierre Bertoglio 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2010年第2期151-157,共7页
The approach of Obukhov assuming a constant skewness was used to obtain analytical corrections to the scaling of the second order structure function, starting from Kolmogorov's 4/5 law. These corrections can be used ... The approach of Obukhov assuming a constant skewness was used to obtain analytical corrections to the scaling of the second order structure function, starting from Kolmogorov's 4/5 law. These corrections can be used in model applications in which explicit expressions, rather than numerical solutions are needed. The comparison with an interpolation formula proposed by Batchelor, showed that the latter gives surprisingly precise results. The modification of the same method to obtain analytical corrections to the scaling law, taking into account the possible corrections induced by intermittency, is also proposed. 展开更多
关键词 Scaling law · Structure function ·Isotropic turbulence
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Electroacupuncture promotes the recovery of motor neuron function in the anterior horn of the injured spinal cord 被引量:16
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作者 Jian-hui Yang Jian-guo Lv +1 位作者 Hui Wang Hui-yong Nie 《Neural Regeneration Research》 SCIE CAS CSCD 2015年第12期2033-2039,共7页
Acupuncture has been shown to lessen the inflammatory reaction after acute spinal cord injury and reduce secondary injury.However,the mechanism of action remains unclear.In this study,a rat model of spinal cord injury... Acupuncture has been shown to lessen the inflammatory reaction after acute spinal cord injury and reduce secondary injury.However,the mechanism of action remains unclear.In this study,a rat model of spinal cord injury was established by compressing the T8-9 segments using a modified Nystrom method.Twenty-four hours after injury,Zusanli(ST36),Xuanzhong(GB39),Futu(ST32)and Sanyinjiao(SP6)were stimulated with electroacupuncture.Rats with spinal cord injury alone were used as controls.At 2,4 and 6 weeks after injury,acetylcholinesterase(ACh E)activity at the site of injury,the number of medium and large neurons in the spinal cord anterior horn,glial cell line-derived neurotrophic factor(GDNF)m RNA expression,and Basso,Beattie and Bresnahan locomotor rating scale scores were greater in the electroacupuncture group compared with the control group.These results demonstrate that electroacupuncture increases ACh E activity,up-regulates GDNF m RNA expression,and promotes the recovery of motor neuron function in the anterior horn after spinal cord injury. 展开更多
关键词 nerve regeneration spinal cord injury ELECTROACUPUNCTURE spine injury secondaryinjury ACUPOINT motor neurons ACETYLCHOLINESTERASE glial cell line-derived neurotrophic factor inclined board test Basso Beattie and Bresnahan locomotor rating scale functional recovery neuralregeneration
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