L^p（T，∑，μ）（p≥1）型空间单位球面间的等距的表现和延拓

给出了L^p型空间单位球面间的满等距表现定理，推广了关于l^p型空间的相应定理．作为简单推论证明了相关的等距延拓定理．     

空间L~p（Γ,Σ,μ）（1〈p〈∞）和Banach空间E的单位球面之间等距算子的延拓

文章得到以下结果（它改进了文献[16][18]中的一些结果）：设E是一个赋范空间,V0是单位球面S（Lp（Γ,Σ,μ））到单位球面S（E）内的等距映射。如果V0满足下列两个条件：（ⅰ）对于任意的自然数n,实数ξk∈[-1,1]及χAk∈χ（Γ）,1≤k≤n,有‖sum from k=1 to n ξkμ（Ai）1/pV0〔（χAi）/（μ（Ai）1/p）〕‖p=sum from k=1 to n｜ξk｜pμ（Ai）,（ⅱ）对于任意的f1,f2∈S（Lp（Γ,Σ,μ））和实数ξ1,ξ2∈[-1,1],有‖ξ1V0（f1）＋ξ2V0（f2）‖=1｜ξ1V0（f1）＋ξ2V0（f2）∈V0[S（Lp（Γ,Σ,μ）],那么V0可延拓为全空间Lp（Γ,Σ,μ）上的等距线性算子。     

EMG oscillator model-based energy kernel method for characterizing muscle intrinsic property under isometric contraction

This paper presents a new method for estimating the isometric contraction force and the characterization of muscle’s intrinsic property.The method,called the energy kernel method,starts with converting the electromyography(EMG)signal into planar phase portraits,on which the elliptic distribution of the state points is named as the energy kernel,while that formed by the noise signal is called the noise kernel.Based on such stochastic features of the phase portraits,we approximate the EMG signal within a rectangular window as a harmonic oscillator(EMG oscillator).The study establishes the relationship between the energy of control signal(EMG)and that of output signal(force/power),and a characteristic energy is proposed to estimate the muscle force.On the other hand,the natural frequencies of the noise and the EMG signal can be attained with the energy kernel and noise kernel.In this way,the direct signal–noise recognition and separation can be accomplished.The results show that the representativeness of the characteristic energy toward the force is satisfactory,and the method is very robust since it combines the advantages of both RMS and MPF.Moreover,the natural frequency of the EMG oscillator is not governed by the MU firing rate of a specific muscle,indicating that this frequency correlates with the intrinsic property of muscle.The physical meanings of the model provide new insights into the understanding of EMG.     

鱼油饲料对自发性高血压大鼠血压血脂心肌收缩力及动作电位的影响

雄性8个月龄自发性高血压大鼠20只,其遗传性高血压及心肌肥大已稳定形成。对照组10只,饲标准饲料,连续80天。实验组10只动物饲混有10％鱼油(C_(20):5n-3,12-20％)的标准饲料80天。每周测量大鼠尾部血压、心率两次。实验开始后第20天,实验组动脉收缩压从210±6mmHg下降到190±10mmHg。此后60天内,稳定在185±10mmHg,比原血压水平降低12％(P<0.05)。对照组的血压,在80天内稳定在210±15mmHg。实验组总胆固醇为73±9mg/dl,较对照组(108±12mg/dl)降低32％(P<0.05);甘油三酯为105±24mg/dl,较对照组(220±58mg/dl)降低51％(P<0.06)。 用标准微电极和张力换能器在左、右心室乳头肌上同时记录动作电位和等长收缩力。结果表明,实验组左心室乳头肌APD_(50)(83±11.2msec)较对照组(112±10.8msec)缩短22％(P<0.05)。APA、RP和APD_(90)没有显著性改变。值得注意的是,尽管统计学上无显著性差异,但实验组的V_(max)较对照组有降低的趋势。右心室乳头肌AP各参数在两组间无明显差异。两组动物心室乳头肌等长收缩力峰值及达峰值的时程也无明显差别。 以上结果提示,10％鱼油对SHR有降低血压,降低血液胆固醇及明显降低甘油三酯的作用。使肥大心肌APD_(50)缩短,对心肌收缩力各参数未见明显影响。     

正等轴测投影的一种画法

提出一种全新的正等轴测投影画法,该法独特新颖,画图简单,对广告宣传绘画、计算机画正等轴测投影图有较大的实用意义。     

关于等距映射

H为内积空间，E包含H，如T是covE上的非膨胀映射，又设T是E上的等距映射，则T必是corE到TcovE的等距映射，还推广了M Edelstein发表在美国数学会刊上的结论。     

内摆线型单螺杆泵共轭副等距曲线运动分析

利用内摆线型单螺杆泵骨线及其等距曲线的形成原理,对内摆线型单螺杆泵的等距曲线进行分析,发现了内摆线型单螺杆泵啮合运动与内摆线骨线形成运动之间的关系,得出设计螺杆泵型线时应考虑过盈的情况下尽量缩短转子与定子在转折点上的接触时间的结论．     

犯罪热点路段识别及影响因素分析

基于道路交通网络的热点分析可以获取犯罪热点道路,从而为公安巡控、警务资源优化提供指导性意见。以等距路段为最小研究单元,采用等距路段热点研究方法识别分析北京市西城区2016年盗窃犯罪在道路交通网络上的分布情况。对于空间兴趣点(points of interest, POI)的10类源数据,采用主成分分析方法实现降维,通过多元线性回归对提取出的两类主成分因子进行犯罪影响因素解释。研究发现：北京市西城区盗窃犯罪在空间分布上呈高度聚集态势,少量路段聚集了大量犯罪;热点路段大都集中在人员流动性大、交通便利等地区;较不等距路段犯罪热点分析方法而言,等距路段犯罪热点分析方法可以更精准地实现热点路段的识别;提取两个主成分分别是与居民日常生活类和与居民精神文化类,与居民日常生活较多的区域对犯罪的发生呈正相关作用,与居民精神文化相关的区域对犯罪的发生呈反相关作用。研究结果可以为一线执法机关的警务资源分布优化、维护社会稳定提供安全防范依据。     

拟正常算子的拟相似与酉等价

本文讨论两个拟正常算子的拟相似与酉等价之间的关系。§2的定理3推广了T.B.Hoover[3]中关于两个拟相似的等距算子必酉等价的结果。在§3中,我们证明了具有循环元的拟正常算子拟相似时必定酉等价。     

Study of CNC Grinding Machining Method About Isometric Polygon Profile

The formed principle and CNC grinding machining method of isometric polygonal profile are studied deeply and systematically. Equation about section curve of isometric polygon profile is set up by means of geometric principle. With the use of differential geometry theory, the curve is proved to be with geometric feature of convex curve. It is referred to as Isometric Polygonal Curve (IPC), because that is a kind of convex curve on which the distance between any parallel tangent lines is equal. Isometric Poly...