计算多项式

The effects of external rare earth on growth and physiological of Chlorella ellipsoidea and Ceratophyllum demersum were studied. The results implicated that there were apparently negative linear interrelation between the concentrations of Sm, Y and the numbers of Chlorella ellipsoidea, which would best be described as polynomial interrelation at 2～40mg/L concentration range of Sm and 2～20 mg/L of Y. The LC〓 of Sm and Y was respectively 41. 36mg/L and 2. 57mg/L by statistics, which also indicated the toxicity of Y was greater than that of Sm.

外源稀土对小球藻及金鱼藻生长生理影响研究结果表明：(1)中稀土元素Sm和重稀土元素Y处理浓度与小球藻生长量之间存在明显的负线性相关关系；在稀土一定处理浓度范围（Sm为2～40mg/L，Y为2～20mg/L）内，小球藻生长量随培养时间的动态变化符合多项式相关关系；统计计算得Sm和Y对小球藻的半致死浓度LC〓分别为41.36mg/L和22.57mg/L，表明Y对小球藻的毒性大于Sm。

In order to improve the precision of the altimetry gravity computed by the inverse Stokes formula, the geoidal height of the innermost area is expressed as double cubic polynomial, and a formula to calculate gravity anomaly of this area is derived after the non-singular transformation is introduced.

为提高利用逆Stokes公式反演测高重力的精度，将中央区大地水准面高表示成双三次多项式插值形式，引入了非奇异变换，推导出了重力异常的计算公式。

The paper gives a fractal images compression algorithm deduced using best polynomial approximation, and two domain blocks searching path (variable step and nonvariable step), and proposes domain blocks incremental evaluation so as to increase the efficient of images compression.

本文还给出了我们用多项式最佳逼近方法导出的分形图象压缩算法，以及两种定义域块搜索路径，并提出了定义域块的增量计算思想，以提高压缩效率。

An algorithm is given by which the number of elementary siphons of an LS3PRnet can be determined, and it is verified that the algorithm is of polynomial complexitywith respect to the number of resource places of the plant net.

对于LS3PR网给出了一种确定基本信标数目的算法，并且证明该算法的计算时间复杂度为LS3PR网中资源库所数目的多项式时间复杂度。

The main academic productions of this thesis are:(1) the parallel algorithms of computing permanents and permanental polynomials of sparse matrices are designed and implemented;(2) an efficient balancing straggles of parallel load is proposed using the theory of scheduling;(3) valuable data for the research of the molecule structure of fullerenes are obtained;(4) the multi-dimensional stable marriage model and its numerical methods give a new path to solve the clustering problems.

本文的主要学术贡献是：(1)设计并实现了稀疏矩阵积和式与积和多项式的并行算法；(2)利用排序理论给出了有效的负载平衡策略；(3)为富勒烯分子结构的研究提供了有价值的数据支持；(4)多维稳定婚姻模型及计算方法，为聚类问题的求解提供了新途径。

The flash point and the spontaneous ignition temperature of binary flammable liquid mixtures consisting of alcohol species,ketone species,aether species and ester species with different proportion were studied by automatic closed-cup flash point tester and automatic ignition temperature detector.

利用自动低温闭口闪点测定仪、自动引燃温度测定仪对醇、酮、醚、酯等不同情况下组成的二元混合液体的闪点、自燃点变化规律进行了实验研究，采用Taylor多项式，拟合出了常压下二元混合液体闪点、自燃点随组分配比变化的经验计算公式，并通过实验数据对其进行了验证。

In the multivariate case, the components of considered estimators are not just polynomials of the corresponding observed components only, but can be polynomials of all variates.

在数值计算结果中，我们发现在卜瓦松分布和常态分布的例子，分别考虑二阶和三阶多项式估计，都已能得到相当好的近似效果。

In image processing part of ESPI, time stepping quadrature phase shifting method, direct correlation method, noise reduction median filter, and path-independent phase unwrapping method were all integrated to reconstruct surface profile of specimen.

在电子斑点影像处理方面，本研究以相关系数演算法结合时进正交相移法计算出相位主幅角、以中位数滤波法进行滤波、以路径独立之演算法完成相位重建工作，最后以多项式曲面拟合的技术完成物体完整的变形轮廓。

Based on data of per mu yield of spring-sown soybean and of cli-mate in Hengyang from 1975 to 1981,the tendency yields are estimatedfirst by the method of orthogonal polynomial regression,and then by theFisher's integral regression equation for the out-tendency yields andclimatic factors in this city.

依据1975～1981年衡阳市的气象资料和春大豆亩产量资料，首先用正交多项式回归方法估计了趋势产量，然后用费希尔积分回归模式和逐步回归方法计算出了该市气候因子和离趋势产量间的积分回归公式。

After studying the relation between connected subnet numbers and the cutest of the network,this paper presents a method for computing the cutest numbers and a formula of the coefficient bounds of reliability polynomial.

本文分析了网络的连通子网数与网络割集以及断集数的关系后，给出一种网络断集数的计算方法以及网络全端可靠性多项式系数上下界的公式，适用于任何网络。

Objective: To study the effect of polycythemia on blood oxygen saturation.

裴蕾目的：观察RBC剧增而引起的高粘血症对血氧饱和度的影响。

Based on SIMPLER algorithm in the curvilinear body-fitted coordinates, the calculations were performed for Pr=0.7, Re=10~1000 on non-orthogonal non-staggered grids which are generated by elliptic equation systems.

采用曲线坐标系下压力与速度耦合的SIMPLER算法，数值研究了周期性渐扩渐缩波纹通道内脉动流动与换热情况，流动Re数的范围为10~1000，Pr数为0.7。