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In fact,this rational quartic spline is the successful generalization of quartic polynomial spline.

事实上，这种有理插值样条曲线是C~2连续的四次多项式样条的成功推广。

A method to establish the relationship between temperature and viscosity, which is high precision and simple operation, was presented, and the empirical formula of more than 10 species lubricants kinematic viscosity, expressed by quartic polynomial of logarithm of absolute temperature, was described.

提出了一种精度高、操作简便的润滑油温度—粘度关系式的建立方法，给出了用绝对温度的对数的四次多项式表示的十余种润滑油运动粘度经验公式。

Under condition of general lens distortion, the absolute error of new algorithm expressed as quartic polynomial reached ±1.0369×10^(-3)mm and the standard residual reached 7.832×10^(-4)mm in computer simulation.

通过计算机仿真表明，在通常的镜头畸变情况下采用4阶多项式表达的新算法最大绝对误差达到±1.0369×10^(-3)mm，标准偏差达到7.832×10^(-4)mm。

At the same time, the center conditions and bifurcation of limit cycles at the origin of the quintic polynomial system are also investigated.

第二章研究了一类三次多项式系统由细焦点分支出极限环的问题，证明了该系统有12个小振幅极限环，证明过程是符号和代数的，且焦点量的表达式相对简单。

Assuming R be a semiprime ring with extended centroid C and Q be the maximal right quotient ring of R, f be a noncentral multilinear polynomial over C.d and δ are derivations of R.

给出了，假设R是带有扩张形心的半素环，Q 为R的极大右商环，f是R的扩张形心C上的非中心值的多线性多项式。

The coal rank is a dominant factor influencing adsorption capacity, which increases in polynomial correlation with coal rank.

研究表明，煤级是影响该区煤储层吸附能力的主要因素，随煤级增大，煤储层吸附能力呈多项式关系增强。

In the paper, up to 4 power of polynomial solutions of plane elasticity are used to interpolate the element dispacement and the 8-node curve quadrilateral rational finite element RCQ8 is derived. Examples show that, it can avoid shear locking and volume locking, and has high accuracy, high efficiency and good stability.

本文采用最高至4次的平面弹性力学的多项式解对单元位移插值，推出了八节点曲边平面理性元RCQ8，若干算例表明，本单元可以避免剪切自锁和体积自锁，具有很高的精度和效率以及数值稳定性。

Many researchers have devoted their work to the development of modal analysis extraction techniques in order to obtain more reliable identification of the modal parameters. There are many damping identification methods, but each one has different merit and defect. In order to find which one is the most reliable method with respect to certain characteristics, this thesis focus on how to identify structure's damping in time domain. The following works have been done in this thesis: 1. Investigate four modal analysis methods——the LSCE Method, the Ibrahim Time Domain Method, the Time Domain Collectivity Modal Parameter Method, the Rational Fraction Polynomial Method and improve on the ITD Method in arithmetic.

本文主要做了如下工作： 1、集中研究了四种常用的模态识别方法，即最小二乘复指数法、Ibrahim时域法、时域总体模态参数辨识法及有理分式多项式法，并对ITD法在算法上进行了一定的改进； 2、建立结构动力模型，利用这四种方法在具体条件下识别结构的阻尼，并绘制相应的图； 3、讨论不同的情况下，不同的识别方法对阻尼识别精确性的影响； 4、基于业已明确的阻尼识别的精确性，根据研究的需要，指出在实际的识别过程中，如何选择最佳的识别方法以及识别过程中需要注意的问题； 5、选择最为精确的阻尼识别方法，以导师李书进教授在日本京都大学防灾研究所强震反应实验室所做的一足尺木制结构房屋的动力测试实验为实测模型，识别其阻尼； 6、在本文的最后，尽作者所知，提出了一些需要改进的地方，并对未来的研究方向给出了作者的建议。

We show that there is a polynomial over the rational number field Q corresponding to a given porpositional formula in a given many-valued logic.

本文证明了对于给定的多值逻辑系统中的命题公式，存在有理数域上的多项式与之对应。

And the question for rational root on integer polynomial of n times is promoted.

并推广到n次整系数多项式的有理根问题。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。