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In this paper,we give the error expressions of piecewise linear Lagrange polynomial interpolation and piecewise cubic polynomial interpolation using the Taylor expansions.

中文摘要:本文利用Taylor展开得到三角形上线性Lagrange插值和三次Lagrange插值的导数余项公式,对这些余项公式进行分析,给出了两类能以四阶精度逼近被插函数在对称点的导数值的格式,一种是在均匀剖分时其分片线性插值的相邻单元的导数值的后处理格式,一种是在六片强正规剖分时的三次插值在对称点上的导数值的后处理格式,使得在已知原函数在各节点的值后,通过一个简单的线性计算就可得到原函数在对称点的导数的一个超逼近值,将以往提出的平均导数的二阶精度提高到四阶。

This work, concentrated on the asymmetric allylation of aldehydes controlled by different chiral auxiliaries prepared from rotational pure tartaric acid, can be divided into three parts.The first part aims to review the developments of chiral drugs and asymmetric synthesis, from which derived the present research topic backgrounds and works.Synthesis and applications of allylation from aldehydes are the second part of the thesis. By optimizing the reaction conditions, such as solvents, temperature, time and chiral auxiliaries like N,N\'-dibenzyl tartamide, N,N\'-p-dimethylphenyl tartamide, N,N\'-o-dimethylphenyl tartamide, N,N\'-o-dichlorophenyl tartamide, N,N\'-a-dinaphyl tartamide, N,N\'-dicyclohexyl tartamide and N,N\'-diphenyl tartamide, ideal experimenttal conditions are obtained according to HPLC monitoring, as well as the auxiliaries\' recoveries experiments. Starting from benzaldehyde and 3-bromopropaldehyde, N,N\'-dibenzyl tartamide is considered the best auxiliary in this reaction.

本文介绍了醛的不对称烯丙基化反应,以光学纯酒石酸为原料,研究了不同构型手性配体在醛的烯丙基化反应中的立体选择性,全文共分三部分十个章节:第一部分对当前手性药物和手性技术进行了概述,并由此展开了本文的研究背景和任务;第二部分为有机合成部分,对醛的不对称烯丙基化反应进行了深入探讨,以苯甲醛为原料对反应条件进行优化,在优化的反应条件下对制备的七种可回收手性酰胺配体(N-苄基酒石酸二酰胺、N-对甲苯基酒石酸二酰胺、N-邻甲苯基酒石酸二酰胺、N-邻氯苯基酒石酸二酰胺、N-a-萘基酒石酸二酰胺、N-环己基酒石酸二酰胺和N-苯基酒石酸二酰胺)进行筛选,优化配体回收实验条件,最终确定出N-苄基酒石酸二酰胺在苯甲醛的不对称烯丙基化反应中具有较大优越性,结晶回收的手性配体光学纯度保持不变。

The safe a air sac in car systemincludes to spread to feel the machine is total,the spirit of air,fold the air sac and order friearms,solid nitrogen,warning signal…etc…When the carsuffers the certain angle in front inside super-speed to hit,packing the collision in car head spreads to feel the machine spreads to feel with the safety that pack the car central part machine, can examine the car to decelerate.suddenly,combine this signal in 0.01 control for inside speed delivering to safe air sac system computer The computer set off immediately after confirming throuth analysis the air sac electricity in the pack heat light the firearms(give or get an electric shock namely thunder tube),making its occurrence exploded,the general in this process needs 0.05 or so.

在装有安全气囊系统的容器外部都印有Supplemental Inflatable Restraint System,简称SRS的字样,直译成中文,应为&辅助可充气约束系统&。英文名称中强调了安全气囊是辅助性的设备,应该与安全带配合工作才能起到最佳的保护作用。可惜的是中文名称中忽略了这一点,容易给用户带来误解,以为仅靠安全气囊就能获得良好的保护效果。其实,若不配合安全带使用的话,在某些情况下,安全气囊展开时会对乘员造成不必要的伤害。

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The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应,而且减少跟风的可能性。

The new PS20 solar power tower collected sunlight through mirrors known as "heliostats" to produce steam that is converted into electricity by a turbine in Sanlucar la Mayor, Spain, Wednesday.

聚光:照片上是建在西班牙桑路卡拉马尤城的一座新型PS20塔式太阳能电站。被称为&日光反射装置&的镜子将太阳光反射到主塔,然后用聚集的热量产生蒸汽进而通过涡轮机转化为电力