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In more formal language, the set of all left-hand Riemann sums and the set of all right-hand Riemann sums is cofinal in the set of all tagged partitions.

积分是线性定义的，即如果，则。特别地，由于复数是实数向量空间，故值为复数的函数也可定义积分。

On the one hand I like the color of the table ,but on the other hand I don't like the shape of it.

1一方面，我喜欢这桌子的颜色，但另一方面，我不喜欢它的形状。

If the projections are accurate, and the weak dollar boosted international commodity prices on the one hand, China's imports increased costs; On the other hand, makes the economic benefits of the sale of raw material deterioration, more willing to expand production, increase the supply of global tensions.

如果上述预测准确，弱势美元一方面提升了国际商品价格，增加了中国的进口成本；另一方面使得原材料出售者经济收益恶化，更加不愿意扩大产量，加剧全球范围供应紧张状况。

In the interest of obtaining juridical redress when infractions occur, and for the sake of adapting the development of socialistic market economy, in the domain of legislation and to be established in the situation of China, a suit of system of civil action and the procuratorial organs' instating common pleas is to be set up to endue the procuratorial organs' with finite civil instating authority, which on one hand answers the demands of consummating jural supervising system, and in the other hand the exigent require of keep irregularity within limit.

为了使公共利益受到侵害时获得司法救济，适应我国社会主义市场经济的发展，必须立足于我国的国情，从立法上建立一套我国的民事诉讼制度。建立我国检察机关提起民事诉讼的制度，赋予检察机关一定范围内的民事起诉权，这既是完善法律监督制度的需要，也是遏制现实生活中针对国家和社会公共利益的民事违法行为的迫切要求。

In these cases, food is often offered communally ,which is why it's important to wash your hands before eating andobserve the right-hand-is-for-eating and theleft-hand-is-for-other-duties rule.

在这种情况下，食物往往是众人一起分享的，因此饭前洗手很重要，而且要遵守用右手吃东西的习俗。

Willing us hand in hand advance together,develop communally,have long-term cooperation, and found the future.

青岛和川包装机械有限公司欢迎国内外朋友前来参观指导，愿我们携手并进，共同发展，长期合作，开创未来。

In these cases, food is often offered communally, which is why its important to wash your hands before eating and observe the right-hand-is-for-eating and the left-hand-is-for-other-duties rule.

在这种情况下，食物往往是众人一起分享的，因此饭前洗手很重要，而且要遵守用右手吃东西的习俗。

By showing the illegitimacy of natural law on the one hand and some communitarian approaches on the other hand, I attempt to develop a theory justifying human rights.

在指出自然法理论和一些社群主义方法的不合理之后，我将提出一种理论来为人权提供正当性依据。

Ballmer is in reiterated that have been in the "software + services" framework, now, this strategy has become Microsoft's line before the compass, window online services go hand in hand with the business of walking on two legs, in accordance with the established running in the direction .

鲍尔默无疑是在重申一直以来都在强调的"软件+服务"架构，如今，这个战略已经成为微软前行的指南针，视窗业务与在线服务并行不悖的两条腿走路，按照既定的方向运行。

It has been observed that the presence of weldlines significantly reduces the mechanical property of injection molded parts . Therefore, in recent years, the analysis on injection molded parts with weldline obtains global concerns, this is. on the one hand , due to large-scale complex parts gradually manifold , on the other hand, the people desires on the appearance and internal performance of parts are increasing high , how to enhance the performance on the weldlind area becomes investigative emphasis .

因为熔接线的存在显著地减少注射制件的力学性能，因此，近些年来，对注塑制品熔接线的分析得到了普遍的关注，这一方面是由于大型复杂制件的逐渐增多，另一方面是人们对制品的外观和内在性能要求越来越高，如何提高制品熔接线区域的性能成为研究的重点。

The work of this paper is as follows: 1. Looking back the progressing history of the linear motor, introducing the features of the elevator driven by linear induction motor, radicating the topic of this paper "the digital frequency variable control of the elevator bi-side direct driven by linear induction motor". The research of this paper covers the conventional VVVF control, space vector based VVVF control, vector control and DTC.

本文主要开展了以下几个方面的工作： 1 回顾了直线电机发展历史，电机的驱动技术演变，特别是针对直线电机的驱动，简要介绍了直线感应电机驱动电梯的优点和不同结构类型，对传统的v／f控制，基于空间矢量法的v／f控制，矢量控制，和基于电压空间矢量的直接转矩控制进行了比较，确立了本课题的研究主题：直线感应电机双边直推式驱动电梯的全数字变频控制。

The article combines with the treatment of a superficial civil air defense work to introduce how the grouting method to improve the performance of the backfill soil.

文章从治理漂浮人防工事的角度提出了注浆技术在改善回填土性质方面的应用，并详细阐述了注浆技术的施工流程。