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Results Two new characterizations of regular rings are given.(1) If R is a left SF'-ring and R/Z is reduced, then R is strongly regular;(2) R is strongly regular if and only if R is a left SF'-ring whose every idempotent element of R is left semi-center and is LANE-ring.

结果 得到了SF'-环是强正则环的两个充要条件：(1)R是左SF'-环，如果R/Z是约化的，则R是强正则环；(2)R是强正则环当且仅当R是满足幂等元左半中心的左SF'-环，且R是LANE-环。

Methods SF -rings are discussed on condition that every idempotent element is left semi-center and SF -rings are LANE-ring.

在幂等元是左半中心的和LANE-环的条件下讨论SF'-环。

The theory of high-strain dynamic testing of pile bearing capacity. The basic calculation expression of pile high-strain dynamic testing is rederived in a simple way, especially the semi-empirical analytical expression of wave equation . Besides, theoretically it has been proved that it's not necessary to have identic section hypotaxis along pile, and the application condition and reasonable operation have been pointed out. the CASE comprehensive method is suggested to replace the traditional CASE method. author has made a lot of improvement for the mathematical model of the matching analysis measured curves in the business software CCWAPC and scientific research software JXWAPC of which the author is in charge.

关于高应变动力试桩法的理论研究以简明方式重新推导了高应变动力试桩法基本计算表达式，尤其波动方程半经验解析表达式，同时从理论上证明了CASE法并不需要桩身等截面假设，亦指出了该方法的适用条件及合理使用办法，并建议利用CASE综合分析法取代传统的CASE分析法；作者在其负责编制的商业软件CCWAPC及科研软件JXWAPC中，对波动方程拟合分析法数理模型进行了一系列重大改进，考虑了灌注桩桩周土体的变形特性和动荷截作用下的非线性效应、大直径桩的横向惯性效应。

The reason is that China is a semi-colonial country for which many imperialist ''.

这是半殖民地的环境，即许多帝国主义争夺中国的环境所造成的。

Keywords distillation column semi-open equation model;automatic differentiation;sensitivity analysis;implicit function differentiation rule

精馏塔半开放模型；自动微分；灵敏度分析；隐函数求导法则

Due to the inclemency of climate and soil conditions and the intense disturbance of human beings,the soil resources heterogeneity in arid and semi arid grassland ecosystems worldwide was gradually increased during the last century.

世界许多干旱、半干旱地区草地生态系统逐渐被灌木生态系统取代，这种取代过程的发展是由灌木冠幅下土壤中"肥岛"的形成和灌木的扩散相互作用直接造成的。

This letter arrangement is more efficient than the modified block or the semi-modified block in that no extra time is required for paragraph indention or placement of the date closing lines.

这种排版比上面两种要更加有效，因为8 Tt t 8。 com 上面两种需要 sSbBwW.cOm 一定 www.8 tt t8.com 的时间来反映空格、日期以及结束语。

This letter arrangement is more efficient than the modified block or the semi-modified block in that no extra time is required for paragraph indention or placement of the date and closing lines.

这种排版比上面两种要更加有效，因为上面两种需要一定地时间来反映空格、日期以及结束语。

The influence of indentor radius on the plastic deformation has been discussed and some important results are as follows:(1) The influence of the ratio of ceramic coating thickness to indentor radius on the failure of coating, plastic deformation of substrate and crack propagation are obvious.(2)The propagation of crack in ceramic coating is assumes to be of semi-elliptical shape under normal contact with a rigid sphere.(3)Fatigue life of ceramic coating is mainly decided by substrate and load, the lower substrate elastic moduli and load, the more cycles of fatigue.

分析了压头半径对塑性变形的影响，模拟结果表明；(1)陶瓷涂层厚度和压头半径之比对涂层失效、基体塑性变形及裂纹的形成有显著影响；(2)在刚性球压头静态挤压条件下，陶瓷涂层中的预制裂纹按照椭圆形裂纹规律扩展；(3)陶瓷涂层的疲劳寿命与基体和载荷有很大关系，基体弹性模量越小，疲劳寿命延长。

The existence of positive solutions of some fourth-order singular semi-positone boundary value problems are obtained on a special cone by using the fixed point index theorem.

本文在一个特殊锥上利用不动点指数定理，得到了一类四阶奇异半正边值问题正解的存在性，并给出了一个例子作为对所获结果的应用，推广和改进了一些已知结果。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。