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If theharmonic index is finite,then each end may be represented by a non-constant positiveharmonic function,and these functions compose a partition of unity.For minimalhypersurfaces with finite total scalar curvature,we can explicitly estimate the harmonicindex.Moreover,the space of bounded harmonic functions are exactly generated bythose functions associated to each end.This gives geometric interpretations of the ends.

若调和指标有限,则每个端均可由一非常值的调和函数代表,它们形成了一个单位分解,对于全纯量曲率有限的极小超曲面,我们明确地估计了调和指标,进一步,有界调和函数正好由代表端的那些调和函数所生成,这就给出了端的几何解释。

If you intend to set no limit to the amount of space VSS System Restore and Shadow Copy can use, leave out MaxSize parameter, and the max will be set to unbounded.

如果您打算设置没有限制的空间量的VSS系统还原和卷影复制可以使用,离开了maxsize参数,以及最高将被设置为无界。

In this paper,the problem of the rate of uniform convergence in the normal approximations of the Von Mises Statistics will be considered.

本文讨论了Von Mises统计量向正态逼近的一致收敛速度问题,在核函数仅满足二阶矩条件下,给出了上述收敛速度的上、下界,所得结果改进了 [2 ]中相应结论

In filtering dampish gases or gases containing sticky dust, the tendency of dust adhering to the filter bag has long been a difficulty of the industry until the engineers tried to replace the regular filter bag with tectorial filter bag or filter bag processed water-repellent.

利用袋式除尘器处理含湿量大或粘性较大的含尘气体,粉尘易粘附布袋一直是令除尘界头痛难题。国外曾尝试试用覆膜滤袋和对滤材表面进行防水处理解决防结露和布袋糊袋的难题,取得了明显的效果。

We analyse the probability of success in deception by malicious groups of receivers, discuss the threshould schemes with limited the number of malicious receivers, give the calculation formule of probability of successful attacks in any transmitted information, and information - theoretic lower bounds,show the size of the secret key space for each participation under the securiey level, provide the construction about the authentication schemes.

第三部分提出了动态会议认证系统,利用动态会议系统的特点,引入验证密钥集,我们运用熵函数,交互信息量及概率分布等方法,对限制内部欺骗者个数的情况进行了分析,得出了欺骗者对系统实施各种攻击成功概率的计算公式及信息论下界,说明了系统在某一安全水平下,各用户应掌握的密钥量。

The determination of parameters σ and p is converted into the definition of an inequal upper boundary from solving integer programming problem, which decreases the calculation of solving parameters so that the application of CF-PCG algorithm in pactice is more convenient.

分析了CF-PCG算法的效率随其参数的变化性质,将参数σ,p的确定,由求解整数规划子问题转化为确定一个不等的上界,从而减少求解参数的计算量,使CF-PCG算法的实现更加方便。

According to the fact that the otolith system is overcritically damped and the max- imum displacement of the otolith,δ〓 is independent of the dynamics, the upper limit of the Young's module of the gel layer and the estimated value of the dimensionless parameter εwere given,〓 which provided the theoretical basis for the experimental method and the theoret- ical analysis.

根据耳石层运动高度过阻尼而且最大位移〓与运动模式无关的事实,理论上给出了胶质层的Young's模量的上界估计表达式以及无量纲参数ε的参数估计式为〓从而为实验测量方法和理论分析提供了理论依据。

In aim at the complicity and high-dimensional state-space for the controlled system, it simplifies the calculation of geometric polytope by optimize with ellipsoidal approximate techniques, and the robust control effectiveness near to the optimal.

本论文所提示的基于几何理论的约束非线性控制算法是建立在最大输出允许集合的基础上,运用状态空间的有界子集表达鲁棒时优离散时间控制问题的价值函数,通过逆序计算该价值函数的水平集合,求得其所需的控制量,针对被控系统的复杂性及高维状态空间问题,运用椭球近似技术予以优化,使得几何多面体的计算得以简化,且鲁棒控制效果接近最优。

The result shows that B combines with N prior to Al at high temperature and brings about coarse particles of BN (about 900 nm), which effectively reduces the amount of fine and dispersive AlN particles, and BN precipitate clinging to MnS precipitation coarsens MnS particles, the pinning of austenite grain boundary is alleviated and the grain growth of ferrite is suppressed.

结果表明高温时B优先于Al与N结合生成粗大的BN粒子(约900 nm),有效降低了热轧过程细小而弥散的AlN析出量,同时BN依附MnS析出而粗化MnS粒子,减弱了细小弥散析出粒子对奥氏体晶界钉扎以及相变后铁素体晶粒长大的抑制作用。

The effects of cerium-rich mischmetal on microstructures and mechanical properties of the die-cast magnesium alloys are investigated.

结果表明:少量加入稀土能起晶粒细化和固溶强化作用;随加入量增大,稀土以晶界和穿晶条状脆性相存在,对合金强度的损伤作用大于强化作用。

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Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车,和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特,那个是爱朗。

Articulate the aims, objectives and key aspects of a strategic business plan.

明确的宗旨,目标和重点战略业务计划。