多项式

By the technique of polynomial decomposition, controller design problem is finally solved numerically by semidefinite programming tools.

将特征根负定配置问题转化成多项式正定性验证问题，控制器设计问题通过多项式分解最终可由半定规划工具数值求解。

Four thin-layer drying models were investigated for the description of FIR-assisted freeze-drying characteristics. The models were exponential model, Page model, diffusion model, and approximation of the diffusion model. Tests were conducted using a three-level, three-factor (drying temperature, distance between sample and FIR heater, and sample thickness) design, and quadratic polynomial analyses were performed to relate the drying parameters of thin-layer drying model. The performance of these thin-layer drying models was evaluated by comparing the coefficient of correlation (R2), the sum of squares, and the RMSE amongst four models. Drying parameter K of the Page model gave the best results in describing freeze-drying with FIR of Tylose and sweet potato.

运用四种薄层乾燥模型（指数、Page、渗透模型及近似渗透模型）研究远红外线冷冻乾燥之乾燥特性，实验采用三阶层、三因子（远红外线加热器设定温度、远红外线加热器至样品表面之距离及样品之厚度）的实验设计，对於薄层乾燥模型的乾燥参数以二次多项式函数表示之，乾燥参数之二次多项式函数的最适性判断主要是藉由决定系数、模式缺乏适合性及均方根误差等值的比较而加以评估，以Tylose及甘薯样品而言，其中四种薄层乾燥模型的乾燥参数以Page模型之K值的结果为最佳。

The common algorithms are difficult to solve the problem of reconstructing of 3D object because of the complexion of reconstructing of 3D object. In the paper, a method was first put forward to reconstruct 3D object from feasible panels, which is different from the idea of reconstructing 3D object from the polyhedrons, and it is easy to be applied in the industry areas.

由于三维重构是一个非常复杂的求解过程，一般算法很难在多项式时间内完成，本方法能够在多项式时间内完成，因此具有很高的理论和实际的价值。

In the third chapter,we prove two general symmetric identities involving the generalized degenerate Bernoulli polynomials and sums of generalized falling factorials by applying their generating functions,these results extend some known identities,and give an relationship of the generalized degenerate Bernoulli polynomials.

第三章，利用广义退化的Bernoulli多项式以及广义阶乘求和的生成函数，证明了两个对称恒等式，推广了一些已知的结论，并得到广义退化的Bernoulli多项式的一个闭形式。

In order to design optimum nozzle for air-air missile solid rocket motor, the mass model of solid rocket motor, the nozzle specifice impulse model of solid rocket motor and the objective function are established. Five different type of nozzles are choosen lor calculation: Conical, parabolidal,two different arcs,quadiatic polynominal and cubic polynominal.

以两种空-空导弹固体火箭发动机喷管作为算例，为此，建立固体火箭发动机的质量模型，喷管的质量比冲模型和目标函数模型，选择五种喷管扩散段内型面：锥形喷管，抛物线喷管，双圆弧喷管，二次多项式喷管和三次多项式喷管，进行优化设计，利用优化理论，成功地完成了五个设计变量的优化问题。

Based on theory of atmosphere turbulence simulation with Zernike polynomial,different turbulence wavefronts were produced with the ATS.

基于Zernike多项式模拟大气湍流的理论，在Zygo干涉仪上，利用此湍流模拟器产生Zernike模式面形，能够很好的产生Zernike多项式的前2～8项模式面形。

N algorithm for close approach determination was developed by Alfano and Negron （1993） based on polynomial splining techniques.

lfano—Negron（1993）提出的空间目标接近分析算法将最小相对距离及其对应时刻和进出误差椭球时刻的求解问题均转化为插值多项式求根问题。A—N算法在判断三次多项式根的存在性、筛选合理实根时存在缺陷，可能导致多余计算。

Computer simulation indicates that each item of POAS represents only a specific frequency range.

通过计算机仿真，发现正交多项式中每一项都基本上只代表特定的空间频率范围，根据相位度量的环扇形镜面面形空间频率分布，选择适当的正交多项式的项进行拟合，不仅能够节省运算时间，而且还可以保证拟合精度。

In the first chapter, general ideas and basic concepts about homotopy method, polynomial equations and the multi-homogeneity are introduced.

第一章，给出多项式及多项式方程组的一些基本定义，简单介绍了同伦方法，并给出了m-Bezout数的定义及计算方法。

We also show that for a fixed surface S, if the face-width of an embedded graph 0 in S is large enough, then there exists a polynomially bounded algorithm to find a shortest contractible cycle in G.

从而在射影平面上解决了Mohar与Thomassen关于是否存在多项式算法寻找短圈的问题。对于一般曲面上嵌入图，只要它的面宽度充分大，那么同样有多项式算法发现最短可收缩圈。

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。