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With the shape parameters, the trigonometric polynomial curves can approach more to the quadratic Bézier curves or to the given control polygon than the quadratic Bézier curves.

由三个控制顶点生成的曲线具有与二次Bézier曲线类似的性质,但具有比二次Bézier曲线更好的逼近性。

Quadratic assignment problem is a NP-hard combinatorial optimization problem and has been applied in various fields. There are always many zero elements in the flow matrix or distance matrix of the quadratic assignment problem instances which are abstracted from the practical problems. Much computation time can be saved if we can first reduce the size of the problem by using its zero elements.

二次分配问题(quadratic assignment problem, QAP)是应用于诸多领域的组合优化NP-难题,许多从实际问题中抽象出来的二次分配问题,其流矩阵与距离矩阵中存在大量零元素,如果在该类二次分配问题的求解中,能够充分利用这些零元素的信息,将大大缩减问题的规模,节省大量运算时间。

This conclusion corrects a mistaken resultIn the planar quadratic system there is not cubic algebraical saddle-nodeseparatrix-loop,in which the author asserrts that quadratic system has no the cubicalgebraical saddle-node separatrix cycle .

本文证明了平面二次系统的三次代数同宿轨线上可以存在鞍结点,并且二次系统可以存在含鞍结点的无返回映射三次曲线分界线环。

The anamorphism, the quadratic distortion Ⅰ, the quadratic distortion Ⅱ and the cubic distortion must be restrained while a rear view mirror is designed.

在后视镜设计中需要控制的象差主要是失真变形、二次方畸变Ⅰ和二次方畸变Ⅱ,以及立方畸变。

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 results showed that acidifier supplementation in the diet at different levels improved feed intake and daily weight gain in a quadratic manner. The supplementation of organic acid improved the availability of DM, protein, organic compound and energy in the broilers at the age of 0-21 days. Comparing with the control test, the supplementation of 0.05%, 0.3% and 0.4% organic acid improved the availability of protein p

结果表明:①饲粮添加不同剂量乐达酸化剂,使肉鸡采食量和日增重呈二次曲线变化;②饲粮添加有机酸能不同程度改善肉鸡0-21日龄饲粮干物质、蛋白质、有机物和能量的利用率,与对照组相比,0.05%、0.3%和0.4%乐达酸化剂组饲粮蛋白质利用率极显著提高p

At the same time, we prove that the best linear unbiased prediction of a linear predictable variable Qy and the best linear unbiased prediction βn=(X"sV-1Xs)-1 X"sVs-1ys of regression coefficients of the finite populations βn=(X"V-1X)-1X"V-1y are admissible under matrix loss function and in the class of the linear predictions and the class that contains all predictions, and under quadratic loss function in the class of the linear predictions.

在线性预测类和一切预测类中是可容许预测,而在二次损失函数下其在线性预测类中是可容许预测。

It is proved that the least squareestimators of linear estimable functions of regression coefficients areadmissible under matrix loss and minimax. The necessary and sufficientexistence conditions are derived for the uniformly minimum riskequivariant estimators of linear estimable functions ofregression coefficients under an affine group and a transitive group oftransformations respectively. It is also proved that there are no UMREestimators ofthe covariance matrix and variance under an affine groupof transformations and quadratic loss functions.

本文证明了回归系数的线性可估函数的最小二乘估计是极小极大的且在矩阵损失函数下是可容许的;还分别在仿射变换群和平移群下导出了存在回归系数的线性可估函数的一致最小风险同变估计的充要条件,并证明了在仿射变换和二次损失下不存在协方差阵和方差的 UMRE 估计。

The notion of affine quadratic stability is proposed for uncertain delayed systems. Based on such a notion, methods of robust stability and robust H〓 performance analysis for uncertain linear delayed systems with affine parameter uncertainty are developed by using linear matrix inequalities.

本章提出了不确定时滞系统仿射二次稳定的概念,对于具有仿射参数不确定性的线性时滞系统,基于仿射二次稳定概念,利用线性矩阵不等式给出了鲁棒稳定性和鲁棒H〓性能分析方法。

The quadratic polynomials and Kriging method are employed to construct the response surface separately, Numerical results indicate that the forebody and afterbody designed by us is of simple configuration, not only can it ensure the efficiency of propulsion system, but also have a better aerodynamic performance.

响应近似模型分别采用了二次多项式和kriging方法来构造,结果表明由本文设计的前后体外形结构简单,不仅能确保推进系统的工作效率,而且具有更好的气动性能。

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