四次元的

After analysing the existing smooth orientation interpolation methods we proposed a smooth orientaion interpolation method based on cubic cardinal spline in quaternion space. This method possesses the following advantages: interpolation, C〓 continuity, accurate evaluation of the quaternion value at arbitrary parameter, transparent to the users, adjustable parameters for controlling the velocity of orientation change.

在分析现有的朝向光滑插值方法基础上，提出了基于四元数空间三次C样条的朝向光滑插值方法，该方法具有插值、C〓连续、任一参数处的四元数值可精确求得、对用户透明、可以用参数调节关键帧处物体朝向变化的速度等优点。

It deals with the invention and development of time-keeping apparatus in our country during a historical period of some three thousand years, tracing this development from remote antiquity with its sundial and clepsydra making use of the shadow of the sun down to the Dynasties of Han, Sui, Tang and Sung with their water-powered astronomical clockworks...

自远古利用日影的圭表和日晷起，中间经汉、隋、唐、宋等朝代，附装在水力天文仪器上的水力天文钟，都采用了齿轮和凸轮的传动，即已都属于机械性。元代郭守敬以后，到明初的詹希元，更发展到独立时钟机构，並有了指针和表盘。可是近四百年，即自明代万历年间，西洋的自鸣钟传来我国，我国在计时器方面的工作，始终在模制阶段，自己的发明遂归于停顿。那次会议闭幕以后，会中曾用英文出版一次，我国1956年12月，《天文学报》4卷2期用中文出版一次。现在根据一些新资料，重新加以增删和改正。

A 2D harmonic model based on the quaternion was constructed,and a special four-order cumulant was defined.

构造了合适的基于四元数的二维谐波模型，根据此模型定义了特殊的四阶累积量切片，分析了加性高斯在有色噪声中的二维三次非线性相位耦合。

A high accuracy finite volume element method was given based on cubic spline interpolation for linear and nonlinear twopoint boundary value problems of ordinary differential equations. The computational scheme was derived and the property of positive type was discussed. Further we presented the convergence analysis and the scheme was proved having fourth order error estimate in discrete energy norm.

针对常微分方程线性和非线性两点边值问题，提出了基于三次样条插值的高精度有限体积元方法，给出了具体计算格式，讨论了格式所具有的优良性质--正型性，并应用能量方法给出了收敛性分析，证明了格式按照离散能量模具有四阶精度。

Type 1; ordinary type; 2,(take a long time to work and television-type); III,(white-collar, no serious training-type activities) IV, serious; type (68 yuan is not Baoyou Fei), 2 (88 yuan is not Baoyou Fei), 3 (128 million), IV (288 yuan), 5 Diego Jiaoxin 100: Zishen with water, drop imaginary fire, Shugan Mingmu, and other functions, can control high-pressure, dizziness, tinnitus, insomnia, poor disease Flaccidity Foot Reflexology Diego, used his left hand and heart massage Youzu heart, heart with his right hand left foot massage heart of the 100 "on the Zuxin Fitness for "believing that it could" down with hot, strong physical body."

说明；二型、；三型、（白领、严重不活动锻炼型）四型、严重型；一型（68元不包邮费）、二型（88元不包邮费）、三型（128元）、四型（288元）、5型蹬踏脚心100次：具有滋肾水、降虚火、舒肝明目等功能，可防治高压、眩晕、耳鸣、失眠、足部痿弱等病症足底按摩蹬踏、常用左手心按摩右足心、用右手心按摩左足心各100次"足心上的健身术"，认为其可"引热下行，壮体强身"。

We meet in this game This is still infatuated with a network Let me be your friends one by one to leave the game To the pursuit of real-life time Then there is a fishes persist in the conviction Let me come to the so-called final Finally, we have a full class to We also become a game of a husband and wife Together to chat together to fight together to see the scenery Appear together in front of friends I have told you several times whether I would like to leave the game But do not know what I come back time and again the Now, I once again decided to leave the game I do not know how long this can leave I do not dare In fact, said to leave the game say that the discussion was not as good as you After the full level because I slowly began to weary of the game Do you have is a day I insist on the belief line Recently, I go to bed every night before you would like to But not like before, like the game's equipment But in reality you imagine how a person What kind of character, and so there We will occasionally illusion of reality can come together The game took a quarter of my college life time Reform is the time to leave As in real life too cruel I felt pressure brought about by the reality Whether in life or learning I really like this now become a regular university, said the University graduate unemployment is equivalent to That is not what I want I am not worried that I can not find a job after graduation Not because of the need to Go on like this I do not even know that after I graduated I can do what I do Looking for a job on it is an impossible dream of Do you still remember I remember a long time ago I asked you I ask you to do what - the sun - the stars - the moon I have become a game where you have the sun I hope I can become your reality stars I would also like to leave after you I hope you will be able to chat with me in the past I hope we can do Haojuhaosan The way the election is himself Life must continue

我们在这场比赛中相遇这是与网路仍痴心让我成为你的朋友们一个接一个，去游戏现实生活时间的追求然后有一个鱼类坚持信念让我谈谈所谓的决赛。最后，我们必须以一个完整的类我们也变成了一个游戏的丈夫与妻子一起，一起聊天，争取一起看风景前面的朋友在一起显示我已经告诉你几次是否我想离开游戏但不知道什麼我回来一次又一次，现在，我又一次决定离开游戏我也不知道多久这可以离开我不敢其实，说要离开讨论不是与你的一样好的游戏说后全部级别因为我慢慢开始厌倦游戏你是我坚持的信念行的一天最近，我去睡觉每天晚上之前您想要但不是象以前，像游戏装置但在现实中你就可以想像如何一人什麼样的字元，并因此有我们偶尔会现实的幻想可以走在一起这场比赛拿了我的大学生活时间的四分之一改革是离开的时候在太残酷的现实生活中的作为我觉得压力带来的现实无论是在生活或学习我真的这样现在成为一个说的正规大学，大学毕业生失业等於这是不是我想要的我不忧虑我不能毕业后找到一份工作不因为的需要这样下去我甚至不知道，我毕业后我可以做我做些什麼找一份工作就是一个不可能的梦想的你还记得吗我记得很久以前我就问你我问你做了什麼--星星-太阳月亮我已经变成一场游戏，在有阳光的地方我希望我可以成为你的现实星星我亦想在此之后你离开我希望您将能够在过去与我聊天我希望我们可以做 Haojuhaosan 选举方式是自己必须继续生活

Zeros of irreducible real quaternionic polynomial are the isolated point solutions of the original polynomial equation.

不可约四元数多项式的零点对应原多项式的孤立点解，一次实系数多项式的零点对应原多项式的实数解，二次实系数多项式(Δ＜0)的零点对应原多项式的等价类解。

130 rats were randomly divided into five groups: 5F electroacupuncture treatment group, 50Hz electroacupuncture treatment group,100Hz electroacupuncture treatment group, the model group and the control group. 4mm defect was produced in the left sciatic nerve of each rat and silicon nerve guards were used to bridge the nerve defect not including the rats of the control group. After 10 weeks electroacupuncture treatment, gross observation, histological examination of the sciatic nerve were carried with method of HE stainning and S-100 immunhistochemical staining, Sevier-Munger stainnning. The histomorphometric examination of the triceps muscles were observed with measuring width muscle cell and the wet weight, and measuring the content of the heparin and the lactic aid of the triceps muscle with biochemistry methods.

实验方法：将130只Wistar大鼠随机分为五组：正常组、造模组、电针5Hz组、电针50Hz组、电针100Hz组，除正常组外，其余各组手术切取坐骨神经4mm后，做坐骨神经硅胶管桥接术，造成周围神经损伤模型，取患侧足三里、三阴交、环跳穴，术后第四天开始电针，每两天一次，每次10分钟，治疗10周后处死动物，取出硅胶管内新生的坐骨神经，纵切片，HE染色、S100免疫组化染色、Sevier-Munger银染，观察坐骨神经纤维再生情况，以健侧同段坐骨神经做对照；取患侧脖肠肌称取湿重，HE染色，观察腓肠肌肌细胞直径，生化测量腓肠肌肌糖元、乳酸。

In the fifth chapter,we study dipolarizations in some quadratic Lie algebras.Inthe first section,we obtain some results on the classification of dipolarizations in gen-eral quadratic Lie algebras,and prove that there exist dipolarizations in the solvablequadratic Lie algebras whose Cartan subalgebras consist of semisimple elements.

第五章讨论了某些二次李代数的双极化，在第一节中，我们给出了二次李代数的双极化的一些分类结果；特别证明Cartan子代数是由半单元组成的二次李代数上存在双极化，第二节确定了四维扩张Heisenberg代数的所有双极化，在第三节中，我们构造了2n+2维扩张Heisenberg代数的六类双极化，我们发现两个不同于半单李代数情形的有趣事实：（1）在扩张Heisenberg代数上同时存在对称和非对称双极化；（2）对应于扩张Heisenberg代数的双极化的特征元有的是半单的有的是幂零的。

The contents of the first quaternion of Amiatinus coincide so remarkably with descriptions of the celebrated Codex Grandior of Cassiodorus that it has been supposed that the leaves were transferred from it bodily; the conjecture has been rendered more credible by the fact that this codex was actually seen in England by Bede, perhaps before Amiatinus was carried to Rome.

内容的第一次四元的amiatinus不谋而合，所以显描述著名法典grandior的cassiodorus称，它一直以为叶均被转移到它的身体；猜想已变得更为可信的事实，即这一法典，是我们实际上所看到的在英格兰，由贝代，或许之前amiatinus进行了罗马。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。