查询词典 hermite interpolation polynomial

Adopting Hermite polynomial in stead of Taylor expansion has greatly decreased the order of the high-order cross sensitivity.

利用埃 尔米特插值逼近函数代替泰勒展开式，使目标函数对几何参数高阶交叉灵敏度的阶数大为降低，减小了计算代价。

Adopting Hermite polynomial in stead of Taylor expansionhas greatly decreased the order of the high-order cross sensitivity.

利用埃尔米特插值逼近函数代替泰勒展开式，使目标函数对几何参数高阶交叉灵敏度的阶数大为降低，减小了计算代价。

For reactor, the point reactor kinetics equation with six-group delayed neutrons is used and influence of coolant's and fuel's temperature is considered, conduction model of one dimension and single-channel model is used in thermal and hydraulic calculation, third-order Hermite polynomial is used to solve the point reactor kinetics equation.

对于反应堆，在物理计算中采用了带有六组缓发中子的点堆方程，同时考虑了多普勒效应及冷却剂温度效应对反应性的影响；在热工水力计算中采用了一维的热传导模型与单通道模型；在求解点堆方程中采用了Hermite插值的方法，克服了点堆方程的刚性问题。

Based on particle swarm optimization and Hermite polynomial fitting. Then the improved PP algorithm is applied to synthetic prediction modeling of poly-dimensional seismicity time series and general disordered seismic data samples.

利用数值仿真技术进行基于粒子群优化算法与厄米多项式构建的投影寻踪回归模型建模能力与计算精度的检验，再将其应用于多维地震时间序列和一般多维无序地震样本回归综合建模预测中。

The second chapter is the main part of this paper, in which the formulation of the Riemann boundary value problem of non-normal type on the real axis, the solution method of homogeneous problem, the relation between the two kinds of different derivatives and the inhomogeneous problem will be thoroughly given. In this paper, the solution and the solvability of the Riemann boundary value problem of non-normal type on the real axis will be given. Furthermore, it is shown that the twokinds of derivatives of the function Ψ are existing and equivalent in the case ofthe solution about the original problem, therefore, we get uniformly Hermite interpolatory polynomial. The relation between the two kinds of different derivativesof the function Ψ are similar for smooth closed contours by means of the same proof.

第二章是本文的主要部分，分别给出了实轴上一类非正则型Riemann边值问题的提法、齐次问题的解法、两种导数的关系及非齐次问题的求解，本文运用杜金元教授[11]的方法获得了实轴上非正则型Riemann边值问题的封闭解及可解性条件，且在问题可解的情况下论证了函数Ψ的非切向极限导数和Peano导数存在且相等，从而获得了统一的Hermite插值多项式，同样关于封闭曲线上非正则型Riemann边值问题，采用本文论证方法证得了函数Ψ的非切向极限导数和Peano导数存在且相等，从而较好地统一了[10]、[11]中的Hermite插值多项式。

Keywords : AFSA;neural network;coupling regress model of projection pursuit;projection direction;threshold;Hermite polynomial

应用神经网络的投影寻踪耦合回归模型存在优化问题，学习过程中运用人工鱼群算法进行优化，进而获得最佳的投影方向、阈值和正交Hermite多项式系数。

Due to the limited number of measurements on the response data, both Kalman Estimator technique and Singular Value Decomposition incopoerated with piecewise cubic Hermite Polynomial curve fitting method are used to reconstruct the unmeasured reponses and establish the full response measurement.

由於有限的量测资料，本文介绍卡氏重建器与结合分段式立方Hermite型插值多项式之奇异值分解重建法，以重建未量测点之反应历时，以利进行部分量测系统之外力识别。

To avoid these shortcomings, this paper uses particle swarm optimization approach, instead of Gauss-Newtonian algorithm, to optimize projecting direction, and applies Hermite polynomial, instead of piecewise linear regression, to fit ridge function.

但一般投影寻踪回归算法构造技术较为复杂，采用多次局部光滑回归，计算量较大，外推较为繁杂，容易陷于局部解。

By using complex analysis in representing parametric curves to avoid the complicated representation and fuzzy calculation, the cubic couple of Pythagorean hodograph is constructed, which satisfies C 1 Hermite interpolation conditions.

相应的两条 Bézier曲线表示及其控制顶点的计算简单方便。所得 4条插值曲线中，通常有 1条曲线具有很好的几何形状特征。结果可直接应用于各工业产品设计及加工领域中。

We also extend univariate osculatory rational Hermite-like interpolation to bivariate case.

在论文中我们还由一元类Hermite切触有理插值得到了二元的情况。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。