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1·Further requirements: to achieve quadratic polynomial multiplication.

进一步要求：实现三元二次多项式的乘法。

2·The approach starts from an analysis of spherical harmonics and finds out a quadratic polynomial form of environment mapping.

该方法从分析球面调和函数入手，首先得出环境贴图的二次多项式表达形式；

3·A new algorithm by use of quadratic polynomial is proposed to reconstruct inrush, and the corresponding sampling rate is determined.

提出了用二次多项式重构励磁涌流的新算法，并确定了相应的采样率。

4·This paper establishes the standard fuzzy systems with partition of normal quadratic polynomial membership functions and normal trigonometric membership functions.

在标准模糊系统的基础上提出了以正规二次多项式和正规三角函数为基函数的两类标准模糊系统。

5·A quadratic polynomial describing the temperature distribution in width direction of workpieces welded with column-shaped pin was obtained by regression analyzing the experimental data.

通过对采用圆柱形搅拌针时垂直于焊缝方向上焊接试板温度数据的回归分析，得到了焊接试板宽度方向温度分布的二次解析式。

6·Nonlinear multiple regression model on the structure activity relationship of ternary dissymmetric organic phosphate insecticide is obtained by quadratic polynomial stepwise regression method.

采用二次多项式逐步回归分析法建立了三元不对称有机磷酸酯类杀虫剂的多元非线性构效关系回归模型。

7·In chapter two, using piecewise quartic polynomial as kernel function, we give analytical convolution solutions for points, line segments, arcs, quadratic Bezier curves and triangle segments.

在第二章中，我们采用截断多项式函数为核函数，解析的给出点、直线段、圆弧、二次曲线和三角面片等骨架的势函数。

8·Based on the basis functions, quadratic hyperbolic polynomial curves with multiple shape parameters are constructed. These curves are C1-continuous with a non-uniform knot vector.

基于这种基函数，建立了一种带多个形状参数的二次双曲多项式曲线，该类曲线对于非均匀节点为C1连续。

9·Some numerical results for a large number of random convex quadratic programming problems show that the new algorithm is efficient and might be a polynomial-time algorithm under some conditions.

大量的关于随机的凸二次规划问题的数值实验结果表明它的计算效率是高的，在某些条件下可能是多项式时间算法。

10·Polynomial regression analysis indicated that the reaction of fertile pollen rates to tetcyclacis concentrations and dates showed a quadratic relationship.

多项式回归分析表明，花粉可育率对特效烯浓度和播期的反应是二元二次方程。