infinitesimal rigidity
- infinitesimal rigidity的基本解释
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无穷小刚性
- 相似词
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The results indicate that the high and the rigidity of pier greatly affect the structure's longitudinal rigidity, and the rigidity of straining beam decide the structure's transverse rigidity and torsion rigidity.
结果表明:桥墩的高度及刚度很大程度上决定了结构的纵向刚度,而横系梁的刚度是影响结构的横向刚度及抗扭刚度的主要因素。
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Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.
具体地,本文的结构如下:第一章给出了问题产生的背景,研究现状及本文的主要工作;第二章研究了在边界上逗留后随机跳的布朗运动,我(来源:3dABC论文网www.abclunwen.com)们用预解算子的方法得到其无穷小生成元,因为无穷小生成元的定义域本质上就是预解算子的值域,知道这个值域和微分算子形式就能唯一地决定无穷小生成元;由于DHJ过程产生的半群不是强连续的,为利用强连续半群的一些漂亮性质,在第三章中我们证明其对偶半群是强连续的,然后由谱半径公式得到遍历性并且最后由对偶得到遍历定理;第四章讨论了Feller在1954年引入的更广的一类过程----一维Feller扩散过程,Feller扩散过程允许有从边界到边界的跳发生,即不仅仅局限于从边界到内部的跳,在这一章中,我们给出了一维Feller扩散过程的平稳分布;在第五章,我们讨论了一些相关的问题,给出了DHJ过程对应的PDE问题及特征值与收敛速度的关系。
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This paper discusses such problems which are easily solved incorrectly in limitedteaching as, segment function is uncertain not to be elementary function, elementary function is un-certain to be continuous in its field of definition, unlimited variable is uncertain to be infinity, theinfinitely many infinitesimal is uncertain to be infinitesimal, the multiplication of two non- infinitesi-mal is uncertain not to be infinitesimal.
1分段函数不一定不是初等函数我们知道初等函数的定义是:常数和基本初等函数经过有限次的四则运算或复合,用一个解析式表示的函数叫初等函数。教材中的定义强调的"有限次"和"一个解析式",使很多同学产生"非有限次"和"非一个解析式"的函数就不是初等函数的误解。例1f=ceox,s xx!0为分段函数,但也可以表示为f=e12(x-x2")+cos12(x+x2#"$)-1,故为初等函数。
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infinitesimal rigidity:无穷小刚性
infinitesimal quantity 无穷小 | infinitesimal rigidity 无穷小刚性 | infinitesimal rotation 无穷小旋转