查询词典 distinguished polynomial

Then, the boundary points are extracted. By using Shu's theorems the sum of Legendre polynomial of the boundary points is calculated.

首先使用Yang-离散格林公式将二值图像矩计算中区域内求和转换为沿区域边界求和；然后提取该图像的边界点；再利用Shu提出的公式计算出边界点的Legendre多项式的叠加值。

Simulations are carried out upon square-aperture beam using Legendre polynomial. Conjugate gradient method is used and optimization is performed for several steps to reduce executing time.

针对方光束口径，利用 Legendre 多项式模拟光束波前分布，利用共轭梯度算法对多项式系数进行了优化计算；优化过程分为几步进行以减少计算时间。

Taking mapping QTL that affect leaf age growth trajectories in rice of a DH population as an example, we used 3 biological meaningful submodels and 2 orders Legendre polynomial to model the mean vector of QTL genotypes and 11 stationary and non-stationary models to fit residual covariance matrix.

以水稻一个DH群体的叶龄性状为例，我们分别用3个具有生物学意义的子模型和2阶Legendre多项式去拟合QTL基因型的均方向量，用13个平稳和非平稳模型去描述剩余协方差的变化。

Based on this opinion, the effect of dynamic trait loci could also be explained by inserting a Legendre polynomial in each genetic factor, and so the mathematic model for mapping dynamic trait loci was constructed.

把表型值随着时间（生命时期、年龄、胎次等）或其他可以量化的因素（生理状态、生产水平、代谢率和环境条件等）变化的性状称为动态性状。

A network with different topologic configurations is needed for flatness pattern recognition when strip width is changing, in this case the large learn assignment, slow convergence and local minimal in the network are observed, in order to solve these problems, first, a flatness pattern recognition GA BP network model with only 6 input and 3 output signals has been established based on Legendre orthodoxy polynomial, which is not only simple in structure but also is of clear physical meaning.

针对板宽变化时需要不同拓扑结构的神经网络才能完成板形模式识别任务，网络学习工作量大，网络存在收敛速度慢，易陷入局部极小等结构性能不佳的问题，首次建立了以勒让德正交多项式为基模式的只用 6个输入信号、3个输出信号的板形模式识别 GA- BP网络模型。

Recurrent formulas for calculating the coefficients of the Legendre polynomial and the expressions for calculating the sedimentation coefficient are deduced analytically.

为了研究多分散低Péclet数沉降问题，我们先以Legendre多项式展开法得到了计算对分布函数的普遍递推式，以及由Legendre多项式的系数表示的沉降积分。

After introducing the primary approximation approaches for curve and surface offset, we give an optimal approximation approach for offsetting curve based on shifting control points, which relies on approximating the normal by Legendre polynomial approximation.

在全面介绍了等距曲线曲面逼近的主要方法以后，作者首先利用Legendre多项式得到基曲线法矢曲线的最佳平方逼近，由此给出了基于控制顶点偏移的等距曲线最优逼近的算法，它在算法效果和效率上都远优于其他同类算法。

Based on the maximum likelihood analysis principle for dynamic trait QTL mapping, selecting three orders Legendre polynomial as sub-model, the effects of the individual number, the frequency of test day, the marker density and heritability on detecting power are investigated by Monte-Carlo simulation.

以远交设计群体为例，在推导出动态性状基因定位的似然法分析过程的基础上，选择3阶多项式为子模型，采用Monte Carlo方法模拟研究了不同个体数、测定日频数、标记密度和QTL遗传贡献率对两种分析方法检测QTL效率的影响。

By applying generalized likelihood ratio test, This paper gives the detector of polynomial phase signal with unknown parameters. The detector is optimal in Neyman-Pearson sense.

根据Neyman-Pearson准则，利用广义似然比检验方法，给出了未知参数多项式相位信号的最优检测器。

The relation between the limit state function of large and complex structural systems and input random parameters is always unknown. A quadratic polynomial is considered to simulate the physical limit state function.

工程中大型、复杂结构的极限状态方程与输入随机变量的关系往往是未知的，利用响应面法，用一个二次多项式来模拟结构的极限状态方程。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。