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膝关节屈肌和伸肌等速向心、等速离心及等长测试的研究 被引量:72
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作者 吴毅 杨晓冰 +2 位作者 李云霞 范振华 胡永善 《中国运动医学杂志》 CAS CSCD 北大核心 1996年第3期193-196,199,共5页
本文通过运用Cybex-6000型等速测力系统对25名健康男青年膝屈肌和伸肌进行等速向心、等速离心及等长测试,来比较膝肌肉向心收缩、离心收缩和等长收缩的功能,并探讨其相互间的关系。结果表明:等速测试时,膝屈肌和伸肌离... 本文通过运用Cybex-6000型等速测力系统对25名健康男青年膝屈肌和伸肌进行等速向心、等速离心及等长测试,来比较膝肌肉向心收缩、离心收缩和等长收缩的功能,并探讨其相互间的关系。结果表明:等速测试时,膝屈肌和伸肌离心收缩的肌力明显大于向心收缩。在膝屈曲60°时,离心收缩和等长收缩的肌力同样明显大于向心收缩,但离心收缩与等长收缩相比无显著性差异。随运动速度增加,屈肌和伸肌向心收缩的肌力明显下降,而离心收缩的肌力无明显变化。 展开更多
关键词 向心收缩 离心收缩 等长收缩 肌肉收缩 膝关节
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Patterns of above-and belowground biomass allocation in China's grasslands:Evidence from individual-level observations 被引量:56
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作者 WANG Liang NIU KeChang +1 位作者 YANG YuanHe ZHOU Peng 《Science China(Life Sciences)》 SCIE CAS 2010年第7期851-857,共7页
Above-and belowground biomass allocation not only influences growth of individual plants,but also influences vegetation structures and functions,and consequently impacts soil carbon input as well as terrestrial ecosys... Above-and belowground biomass allocation not only influences growth of individual plants,but also influences vegetation structures and functions,and consequently impacts soil carbon input as well as terrestrial ecosystem carbon cycling.However,due to sampling difficulties,a considerable amount of uncertainty remains about the root:shoot ratio(R/S),a key parameter for models of terrestrial ecosystem carbon cycling.We investigated biomass allocation patterns across a broad spatial scale.We collected data on individual plant biomass and systematically sampled along a transect across the temperate grasslands in Inner Mongolia as well as in the alpine grasslands on the Tibetan Plateau.Our results indicated that the median of R/S for herbaceous species was 0.78 in China's grasslands as a whole.R/S was significantly higher in temperate grasslands than in alpine grasslands(0.84 vs.0.65).The slope of the allometric relationship between above-and belowground biomass was steeper for temperate grasslands than for alpine.Our results did not support the hypothesis that aboveground biomass scales isometrically with belowground biomass.The R/S in China's grasslands was not significantly correlated with mean annual temperature(MAT) or mean annual precipitation(MAP).Moreover,comparisons of our results with previous findings indicated a large difference between R/S data from individual plants and communities.This might be mainly caused by the underestimation of R/S at the individual level as a result of an inevitable loss of fine roots and the overestimation of R/S in community-level surveys due to grazing and difficulties in identifying dead roots.Our findings suggest that root biomass in grasslands tended to have been overestimated in previous reports of R/S. 展开更多
关键词 aboveground biomass ALLOMETRY alpine grassland belowground biomass Inner Mongolia isometric relationship root:shoot ratio temperate grassland Tibetan Plateau
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The 1-Lipschitz mapping between the unit spheres of two Hilbert spaces can be extended to a real linear isometry of the whole space 被引量:48
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作者 定光桂 《Science China Mathematics》 SCIE 2002年第4期479-483,共5页
Let E and F be Hilbert spaces with unit spheres S1(E) and S1(F). Suppose that V0 S1(E)→S1(F) is a Lipschitz mapping with Lipschitz constant k=1 such that -V0[S1(E)] V0[S1(E)]. Then V0 can be extended to a real linear... Let E and F be Hilbert spaces with unit spheres S1(E) and S1(F). Suppose that V0 S1(E)→S1(F) is a Lipschitz mapping with Lipschitz constant k=1 such that -V0[S1(E)] V0[S1(E)]. Then V0 can be extended to a real linear isometric mapping V from E into F. In particular, every isometric mapping from S1(E) onto S1(F) can be extended to a real linear isometric mapping from E onto F. 展开更多
关键词 isometric mapping STRICTLY convex SMOOTH point.
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中国青年踝关节跖屈、背屈肌群力量的研究 被引量:33
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作者 王向东 刘学贞 +2 位作者 仰红慧 胡水清 卢德明 《中国运动医学杂志》 CAS CSCD 北大核心 2003年第6期569-572,共4页
目的 :(1 )通过测试健康青年踝关节背屈、跖屈肌群的力量 ,为运动训练、损伤和康复提供实验依据 ;(2 )探讨健康青年踝关节跖屈、背屈肌群工作的生物力学规律。方法 :利用CYBEX -60 0 0型测力系统对 70例健康青年 (男 35人 ,女 35人)踝... 目的 :(1 )通过测试健康青年踝关节背屈、跖屈肌群的力量 ,为运动训练、损伤和康复提供实验依据 ;(2 )探讨健康青年踝关节跖屈、背屈肌群工作的生物力学规律。方法 :利用CYBEX -60 0 0型测力系统对 70例健康青年 (男 35人 ,女 35人)踝关节背屈、跖屈肌群进行等长和等速测试。结果发现 :在等长测试中 ,男、女踝关节背屈肌群峰力矩均随测试角度的增加而增加 ,跖屈峰力矩随测试角的增加而减小。在等速向心测试中 ,男、女踝关节背屈、跖屈肌群峰力矩随测试角速度的增加而减小。两种测试均表明 ,跖屈肌群峰力矩大于背屈肌群峰力矩 (P <0 0 5)。男性与女性相比 ,绝对力矩较大(P <0 0 5) ;但去除体重因素后 ,男、女相对力矩间差距缩小。结果表明 ,用相对峰力矩比较男、女肌力的差别更为合理。通过对踝关节背屈 /跖屈肌群峰力矩比值的研究 ,发现我国健康青年普遍踝关节背屈肌群力量比较薄弱 。 展开更多
关键词 中国青年 踝关节跖屈 背屈肌群 力量 运动训练 损伤 康复 等速向心测试 等长测试 峰力矩
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The Representation Theorem of onto Isometric Mappings between Two Unit Spheres of l^1(Г) Type Spaces and The Application to the Isometric Extension Problem 被引量:30
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作者 Guang Gui DING 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2004年第6期1089-1094,共6页
In this paper,we first derive the representation theorem of onto isometric mappings in theunit spheres of l~1(F) type spaces,and then conclude that such mappings can be extended to the wholespace as real linear isomet... In this paper,we first derive the representation theorem of onto isometric mappings in theunit spheres of l~1(F) type spaces,and then conclude that such mappings can be extended to the wholespace as real linear isometrics by using a previous result of the author. 展开更多
关键词 isometric mapping isometric extension
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The representation theorem of onto isometric mappings between two unit spheres of l∞-type spaces and the application on isometric extension problem 被引量:30
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作者 DING Guanggui 《Science China Mathematics》 SCIE 2004年第5期722-729,共8页
In this paper, we first derive the representation theorem of onto isometric mappings in the unit spheres of real l∞-type spaces, then we conclude that such mappings can be extended to the whole space as (real) linear... In this paper, we first derive the representation theorem of onto isometric mappings in the unit spheres of real l∞-type spaces, then we conclude that such mappings can be extended to the whole space as (real) linear isometries. 展开更多
关键词 isometric mapping isometric extension.
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The isometric extension problem in the unit spheres of l^p(Г)(p >1) type spaces 被引量:24
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作者 定光桂 《Science China Mathematics》 SCIE 2003年第3期333-338,共6页
In this paper, we first derive the representation theorem of onto isometric mappings in the unit spheres of l p (Г) (@#@(p >) 1,p ≠ 2 type spaces, and then we conclude that such mappings can be extended to the wh... In this paper, we first derive the representation theorem of onto isometric mappings in the unit spheres of l p (Г) (@#@(p >) 1,p ≠ 2 type spaces, and then we conclude that such mappings can be extended to the whole space as real linear isometries by using the previous result of the author. 展开更多
关键词 isometric mapping strictly convex
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Extension of Isometries Between the Unit Spheres of Normed Space E and C(Ω) 被引量:18
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作者 Xi Nian FANG Jian Hua WANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第6期1819-1824,共6页
In this paper, we study the extension of isometries between the unit spheres of normed space E and C(Ω). We obtain that any surjective isometry between the unit spheres of normed space E and C(Ω) can be extended... In this paper, we study the extension of isometries between the unit spheres of normed space E and C(Ω). We obtain that any surjective isometry between the unit spheres of normed space E and C(Ω) can be extended to be a linear isometry on the whole space E and give an affirmative answer to the corresponding Tingley's problem (where Ω be a compact metric space). 展开更多
关键词 isometric mapping isometric extension Tingley's problem
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不同运动疗法对膝骨性关节炎的治疗作用 被引量:21
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作者 吴玉玲 吴敏魁 +2 位作者 沈良册 叶宏 林建强 《颈腰痛杂志》 2013年第4期335-338,共4页
目的探讨不同运动疗法对膝骨性关节炎的治疗效果。方法 100例膝骨性关节炎患者随机分为治疗组(n=50例)和对照组(n=50例),两组均采用超短波电疗、关节活动度训练、有氧运动、ADL指导;治疗组在此基础上加等速训练,对照组在此基础上加徒手... 目的探讨不同运动疗法对膝骨性关节炎的治疗效果。方法 100例膝骨性关节炎患者随机分为治疗组(n=50例)和对照组(n=50例),两组均采用超短波电疗、关节活动度训练、有氧运动、ADL指导;治疗组在此基础上加等速训练,对照组在此基础上加徒手等长、等张肌力训练。结果两组患者治疗4周后,视觉模拟评分、Lysholm膝关节评分、膝关节伸直位最大负荷量均比治疗前明显改善(P<0.01);治疗组的疗效明显优于对照组(P<0.01和P<0.05)。结论等速训练在膝关节骨性关节炎的康复中有明显的治疗作用。 展开更多
关键词 超短波 等速训练 等长 等张训练 膝骨性关节炎
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Opiate-induced constipation related to activation of small intestine opioid μ2-receptors 被引量:20
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作者 Wency Chen Hsien-Hui Chung Juei-Tang Cheng 《World Journal of Gastroenterology》 SCIE CAS CSCD 2012年第12期1391-1396,共6页
AIM: To investigate the role of opioid p-receptor subtype in opiate-induced constipation (OIC).METHODS: The effect of Ioperamide on intestinal transit was investigated in mice. Ileum strips were isolated from 12-w... AIM: To investigate the role of opioid p-receptor subtype in opiate-induced constipation (OIC).METHODS: The effect of Ioperamide on intestinal transit was investigated in mice. Ileum strips were isolated from 12-wk-old male BALB/c mice for identification of isometric tension. The ileum strips were precontracted with 1 μmol/L acetylcholine (ACh). Then, decrease in muscle tone (relaxation) was characterized after cumu- lative administration of 0.1-10μ~mol/L Ioperamide into the organ bath, for a concentration-dependent study. Specific blockers or antagonists were used for pretreat- ment to compare the changes in Ioperamide-induced relaxation.RESULTS: In addition to the delay in intestinal transit, Ioperamide produced a marked relaxation in isolated ileum precontracted with ACh, in a dose-dependent manner. This relaxation was abolished by cyprodime,a selective opioid p-receptor antagonist, but not modified by naloxonazine at a dose sufficient to block opioid μ-1 receptors. Also, treatment with opioid μ-1 receptor agonist failed to modify the muscle tone. Moreover, the relaxation by Ioperamide was attenuated by glibenclamide at a dose sufficient to block ATP-sensitive K^+ (KATP) channels, and by protein kinase A (PKA) inhibitor, but was enhanced by an inhibitor of phosphodiesterase for cyclic adenosine monophosphate (cAMP).CONCLUSION: Loperamide induces intestinal relaxa- tion by activation of opioid μ-2 receptors via the cAMP- PKA pathway to open KATp channels, relates to OIC. 展开更多
关键词 ATP-sensitive K^+ channels isometric tension LOPERAMIDE Opioid p-receptors Small intestine
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On isometric extension problem between two unit spheres 被引量:12
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作者 Ding GuangGui School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China 《Science China Mathematics》 SCIE 2009年第10期2069-2083,共15页
In this paper we introduce the isometric extension problem of isometric mappings between two unit spheres. Some important results of the related problems are outlined and the recent progress is mentioned.
关键词 normed space isometric extension isometric mapping 1-Lipschitz mapping 46A22 46B02 46B04 46B20 46B22
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Extension of isometries on the unit sphere of l^p (Γ) space 被引量:10
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作者 FANG XiNian 1,& WANG JianHua 2 1 School of Mathematics and Statistics,Nanjing Audit University,Nanjing 210029,China 2 Department of Mathematics,Anhui Normal University,Wuhu 241000,China 《Science China Mathematics》 SCIE 2010年第4期1085-1096,共12页
In this paper,we obtain that every isometry from the unit sphere S(l p (Γ)) of l p (Γ) (1 【 p 【 ∞,p≠2) onto the unit sphere S(E) of a Banach space E can be extended to be a (real) linear isometry of l p (Γ) ont... In this paper,we obtain that every isometry from the unit sphere S(l p (Γ)) of l p (Γ) (1 【 p 【 ∞,p≠2) onto the unit sphere S(E) of a Banach space E can be extended to be a (real) linear isometry of l p (Γ) onto E,so,we give an affirmative answer to the corresponding Tingley’s problem. 展开更多
关键词 isometric EXTENSION l P (Γ) SPACE isometrY 1-Lipschitz mapping
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Evaluation of upper limb muscle fatigue based on surface electromyography 被引量:11
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作者 ZHOU QianXiang CHEN YuHong +1 位作者 MA Chao ZHENG XiaoHui 《Science China(Life Sciences)》 SCIE CAS 2011年第10期939-944,共6页
Fatigue is believed to be a major contributory factor to occupational injuries in machine operators.The development of accurate and usable techniques to measure operator fatigue is therefore important.In this study,we... Fatigue is believed to be a major contributory factor to occupational injuries in machine operators.The development of accurate and usable techniques to measure operator fatigue is therefore important.In this study,we used a novel method based on surface electromyography (sEMG) of the biceps brachii and the Borg scale to evaluate local muscle fatigue in the upper limb after isometric muscle action.Thirteen young males performed isometric actions with the upper limb at different force levels.sEMG activities of the biceps brachii were recorded during the actions.Borg scales were used to evaluate the subjective sensation of local fatigue of the biceps brachii after the actions.sEMG activities were analyzed using the one-third band octave method,and an equation to determine the degree of fatigue was derived based on the relationship between the variable and the Borg scale.The results showed that the relationship could be expressed by a conic curve,and could be used to evaluate muscle fatigue during machine operation. 展开更多
关键词 isometric muscle activity muscle fatigue one-third band octave method evaluation model for muscle fatigue
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The Isometric Extension of the Into Mapping from the Unit Sphere S_1(E) to S_1(l~∞(Г)) 被引量:8
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作者 Xiao Hong FU Department of Mathematics,Jiaying College,Meizhou 514015,P.R.China 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第9期1475-1482,共8页
This paper considers the isometric extension problem concerning the mapping from the unitsphere S(E)of the normed space E into the unit sphere S(l~∞(Γ)).We find a condition under whichan isometry from S,(E)into S1(l... This paper considers the isometric extension problem concerning the mapping from the unitsphere S(E)of the normed space E into the unit sphere S(l~∞(Γ)).We find a condition under whichan isometry from S,(E)into S1(l~∞(Γ))can be linearly and isometrically extended to the whole space.Since l~∞(Γ)is universal with respect to isometry for normed spaces,isometric extension problemson a class of normed spaces are solved.More precisely,if E and F are two normed spaces,and ifV:S(E)→S(F)is a surjective isometry,where c(Γ)■(Γ),then Vcan be extended tobe an isometric operator defined on the whole space. 展开更多
关键词 l~∞(F) space isometric mapping isometric extension
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陆生生境中喜旱莲子草的生长模式 被引量:9
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作者 贾昕 傅东静 +2 位作者 潘晓云 李博 陈家宽 《生物多样性》 CAS CSCD 北大核心 2007年第3期241-246,共6页
喜旱莲子草(Alternanthera philoxeroides)原产南美洲,后被引入到北美洲、大洋洲、东南亚和中国等地,成为一个世界性的外来入侵种。对喜旱莲子草陆生种群的有效控制一直是一个难题。本文中通过种植实验建立了陆生生境中喜旱莲子草主枝... 喜旱莲子草(Alternanthera philoxeroides)原产南美洲,后被引入到北美洲、大洋洲、东南亚和中国等地,成为一个世界性的外来入侵种。对喜旱莲子草陆生种群的有效控制一直是一个难题。本文中通过种植实验建立了陆生生境中喜旱莲子草主枝长、生物量、叶面积和斑块面积等的生长模型。结果表明:(1)喜旱莲子草的主枝长、生物量、叶面积和斑块面积等均表现为指数式生长,其日增长率(%)分别为4.28、11.27、11.59和8.67。(2)喜旱莲子草的地上重(x)-地下根茎重(y)的异速生长指数b约为3/4(0<b<1),即随着植株的生长其根冠比下降;主枝长-总重、主枝长-叶面积的异速生长指数b约为2(b>1),即总重和叶面积相对于主枝长呈二次幂增长,由此可进一步推出总重和叶面积与斑块面积成正比;生物量-叶面积的异速生长指数b约为1,为等速生长(b=1),即单位生物量所支持的叶面积不随植株大小的变化而变化(冠层恒定性)。其叶面积比为88.24cm2/g,比叶面积为287.97cm2/g。通过本研究期望对喜旱莲子草陆生局域斑块的生长进行预测,同时为进一步建立其控制模型提供基础数据,为制定经济有效的控制对策提供科学依据。 展开更多
关键词 Alternanthera philoxeroides 生物入侵 外来入侵种 异速生长分析 指数生长模型
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The isometric extension of “into” mappings on unit spheres of AL-spaces 被引量:7
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作者 DING GuangGui School of Mathematics Science, Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, China 《Science China Mathematics》 SCIE 2008年第10期1904-1918,共15页
In this paper, we show that if V0 is an isometric mapping from the unit sphere of an AL-space onto the unit sphere of a Banach space E, then V0 can be extended to a linear isometry defined on the whole space.
关键词 isometric extension (atomic) AL-space
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Combination of medial patellofemoral ligament reconstruction with vastus medialis advancement for chronic patellar dislocation 被引量:7
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作者 WANG Fei KANG Hui-jun +3 位作者 CHEN Bai-cheng CHEN Wei SU Yah-ling ZHANG Ying-ze 《Chinese Medical Journal》 SCIE CAS CSCD 2010年第21期3024-3029,共6页
Background The medial patellofemoral ligament (MPFL) reconstruction is popular in clinical practice for chronic patellar dislocation; however, the combination with vastus medialis advancement is rare. The aim of thi... Background The medial patellofemoral ligament (MPFL) reconstruction is popular in clinical practice for chronic patellar dislocation; however, the combination with vastus medialis advancement is rare. The aim of this study was to evaluate the clinical outcome of the combination of MPFL reconstruction with vastus medialis advancement.Methods We retrospectively analyzed 69 patients with chronic patellar dislocation between July 2004 and October 2008: twenty eight cases with isolated MPFL reconstruction (group Ⅰ), forty one cases with the combination of MPFL reconstruction with vastus medialis advancement (group C). All patients had CT scans available for review with knee flexion at 30 degree, on which the congruence angle, patellar tilt angle and patellar lateral shift were measured. Physical apprehension tests were examined and the redislocation was recorded. In addition, knee function was evaluated using the Kujala score and subjective questionnaires.Results Patients were followed up for a mean of 42 months (12-65 months) without a recurrent dislocation reported.Postoperatively, all indexes on CT scan were within the normal range without a statistical difference between the two groups. Results from the apprehension test showed eight patients in group Ⅰ and three in group Chad patellar lateral shift exceeding 1.5 cm with a hard end point (P 〈0.05). The Kujala score improved significantly from 51.3±4.5 to 79.9±6.2 in group Ⅰ and from 53.7±5.2 to 83.9±6.5 in group C (P 〉0.05). However, the subjective questionnaire revealed a significant difference (P 〈0.05), including 12 excellent, seven good and nine fair in group Ⅰ and 30 excellent, six good and five fair in group C.Conclusion The combination of MPFL reconstruction with vastus medialis advancement is better than isolated reconstruction to improve the subjective effects and decrease the patellar instability rate for chronic patellar dislocation. 展开更多
关键词 patellar dislocation medial patellofemoral ligament isometric reconstruction combined reconstruction vastus medialis advancement
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sEMG Feature Analysis on Forearm Muscle Fatigue During Isometric Contractions 被引量:9
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作者 明东 王欣 +6 位作者 徐瑞 邱爽 赵欣 綦宏志 周鹏 张力新 万柏坤 《Transactions of Tianjin University》 EI CAS 2014年第2期139-143,共5页
In order to detect and assess the muscle fatigue state with the surface electromyography(sEMG) characteristic parameters,this paper carried out a series of isometric contraction experiments to induce the fatigue on th... In order to detect and assess the muscle fatigue state with the surface electromyography(sEMG) characteristic parameters,this paper carried out a series of isometric contraction experiments to induce the fatigue on the forearm muscles from four subjects,and recorded the sEMG signals of the flexor carpi ulnaris.sEMG's median frequency(MDF) and mean frequency(MF) were extracted by short term Fourier transform(STFT),and the root mean square(RMS) of wavelet coefficients in the frequency band of 5—45 Hz was obtained by continuous wavelet transform(CWT).The results demonstrate that both MDF and MF show downward trends within 1 min; however,RMS shows an upward trend within the same time.The three parameters are closely correlated with absolute values of mean correlation coefficients greater than 0.8.It is suggested that the three parameters above can be used as reliable indicators to evaluate the level of muscle fatigue during isometric contractions. 展开更多
关键词 muscle fatigue isometric contraction time-frequency spectrum analysis median frequency mean frequency root mean square CORRELATION
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Variation of carbon and nitrogen stoichiometry along a chronosequence of natural temperate forest in northeastern China 被引量:9
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作者 Xingyun Liang Shirong Liu +1 位作者 Hui Wang Jingxin Wang 《Journal of Plant Ecology》 SCIE CSCD 2018年第3期339-350,共12页
Aims Carbon(C)and nitrogen(N)stoichiometry contributes to under-standing elemental compositions and coupled biogeochemical cycles in ecosystems.However,we know little about the temporal patterns of C:N stoichiometry d... Aims Carbon(C)and nitrogen(N)stoichiometry contributes to under-standing elemental compositions and coupled biogeochemical cycles in ecosystems.However,we know little about the temporal patterns of C:N stoichiometry during forest development.The goal of this study is to explore the temporal patterns of intraspecific and ecosystem components’variations in C:N stoichiometry and the scaling relationships between C and N at different successional stages.Methods Along forest development in a natural temperate forest,northeastern China,four age gradients were categorized into ca.10-,30-,70-and 200-year old,respectively,and three 20 m×20 m plots were set up for each age class.Leaves,branches,fine roots and fresh litter of seven dominant species as well as mineral soil at depth of 0-10 cm were sampled.A Universal CHN Elemental Analyzer was used to determine the C and N concentrations in all samples.Important Findings Intraspecific leaf C,N and C:N ratios remained stable along forest development regardless of tree species;while C,N concentrations and C:N ratios changed significantly either in branches or in fine roots,and they varied with tree species except Populus davidiana(P<0.05).For ecosystem components,we discovered that leaf C:N ratios remained stable when stand age was below ca.70 years and dominant tree species were light-demanding pioneers such as Betula platyphylla and Populus davidiana,while increased signifi-cantly at the age of ca.200 years with Pinus koraiensis as the dom-inant species.C:N ratios in branches and fresh litter did not changed significantly along forest development stages.C concentrations scaled isometrically with respect to N concentrations in mineral soil but not in other ecosystem components.Our results indicate that,leaf has a higher intraspecific C:N stoichiometric stability compared to branch and fine root,whereas for ecosystem components,shifts in species composition mainly affect C:N ratios in leaves rather than other components.This study also demonstrated that C and N remain coupl 展开更多
关键词 C:N stoichiometry forest succession isometric scaling plant organs soil temperate forest
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Isometric Immersions of Lightlike Warped Product Manifolds
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作者 Domitien Ndayirukiye Cyriaque Atindogbe Gilbert Nibaruta 《Journal of Applied Mathematics and Physics》 2024年第7期2490-2505,共16页
In this paper, we deal with isommetric immersions of globally null warped product manifolds into Lorentzian manifolds with constant curvature c in codimension k≥3. Under the assumptions that the globally null warped ... In this paper, we deal with isommetric immersions of globally null warped product manifolds into Lorentzian manifolds with constant curvature c in codimension k≥3. Under the assumptions that the globally null warped product manifold has no points with the same constant sectional curvature c as the Lorentzian ambient, we show that such isometric immersion splits into warped product of isometric immersions. 展开更多
关键词 Lightlike Warped Product Manifolds Globally Null Warped Products Manifolds Lightlike Warped Product isometric Immersions
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