查询词典 interior approximation

Polynomial smooth techniques are applied to SVM model and replace x+ by a very accurate smooth approximation that is Hermite Interpolation polynomial,thus the undifferential model is converted into a differential model.The deduction procedure of Hermite Interpolation polynomial smoothing x+ is extended.

三次Hermite插值多项式光滑的支持向量机模型采用的是一种多项式光滑技术，用三次Hermite插值多项式代替单变量函数x+，将原来不可微的模型变为可微的模型，并且给出了三次Hermite插值多项式光滑化单变量函数x+的推导过程。

To solve above problems, a new method has been created in this paper: to construct a Hermite polynomial approximation of the objective function by FE solution using the sensitivity idea.

因此，本文提出在进行若干次电磁场数值计算之后，利用目标函数值和目标函数对设计变量的灵敏度建立目标函数的计算方法。

With some modifications of Laplace\'s approximation,we obtain uniform asymp-totic formulas for the Stieltjes-Wigert polynomial,the q~(-1)-Hermite polynomial and the q-Laguerre polynomial.

通过将Laplace逼近方法做一些改进，我们得到一些关于Stieltjes-Wigert多项式，q~(-1)-Hermite多项式和q-Laguerre多项式的一致渐近公式。

A novel robust adaptive quasi-Newton algorithm for generalized eigen-decompositon problem was proposed by making use of an approximation of its Hessian matrix.

利用近似Hessian矩阵，提出了一种新的自适应拟牛顿广义特征分解算法。

A efficient encoding for piecewise linear approximation vertices based on hexagonal neighborhood system approach is proposed.

在后继帧的编码中，以初始时空分割为基础，采用前向运动补偿、非线性内插等算法，跟踪均匀时空区域的时域变化，维持帧间时空分割的一致性。

Finally numerical examples with three shape functions are analyzed in detail. The numerical examples show that the modifying generalized moving least squares approximation has high accuracy not only for function value but also one or higher orders derivative.

最后，通过多个数值算例的计算比较了三种形函数的计算结果，结果显示本文提供的MGMLS方法关于函数值和各阶导数值都具有很高的精度。

In order to reasonably depict four basic problems with friction, one Coulomb friction new form in first Kirchhoff stress is proposed to deal with finite deformation problems, other Coulomb friction form in incremental mode to elastoplastic flow theory; Hilbert function spaces concerning elastoplastical problems with friction are established, so it makes all operations and calculations in the treatise standardized within the scope of reasonably topologic structure; In view of functional extremum, the equivalence between generalized variational inequalities principles in elastoplasticity with friction and corresponding basic problems are testified by inducing Lagrangian multipliers, so it provides a rationally theoretical basis for numerical methods in elastoplasticity with friction; From the viewpoint of variational inequality, the theory of generalized variational inequalities in elasticity and elastoplasticity with frictional constraint is studied, and the uniqueness and existence of the solution of FEM is proofed under the proposed conditions of stress compatibility, and them FEM approximation and a discrete solution are discussed; Based on the principles of generalized variational inequalities in elastoplasticity with friction, direct generalized variational inequalities methods is pretended, which is a natural generalization and development of direct variational methods; Using generalized variational inequalities methods, some examples in metal forming including plane deformation, upset and extrusion are analyzed and the results prove that all the theories and methods in the paper are right, feasible, accurate and advanced.

主要内容有：为了合理地描述金属塑性成形中摩擦约束弹性、弹塑性基本问题，提出和研究了有限变形下以Kirchhoff第一应力表示的Coulomb摩擦定律形式和弹塑性流动理论下以增量形式表示的Coulomb摩擦定律表示形式；系统建立了摩擦约束弹塑性问题的Hilbert函数空间，使本文规范在一个具有合理的代数拓扑结构内进行一切操作和运算；利用Lagrange乘子，从泛函极值的角度系统地阐述和论证了一系列摩擦约束弹性、弹塑性广义变分不等原理与相应的实际问题之间的等价性，它为处理摩擦约束的弹塑性力学数值方法提供了合理的理论基础；从变分不等式的角度出发，阐述了对应于摩擦约束弹性、弹塑性问题的广义变分不等式理论，首次提出了在应力相容性条件下，它的有限元解具有存在唯一性，进而讨论了其有限元近似及离散解法；基于摩擦约束弹塑性广义变分不等式原理，首次提出了直接广义变分不等式方法，这一方法是直接变分法的合理推广和发展；利用直接广义变分不等式方法对金属压力加工中的平面变形问题、镦粗、挤压等塑性成形问题进行了分析计算，验证了该理论和数值算法的正确性、实用性、精确性和优越性。

The method is developed by using Hildebrand approximation and an ionic model based on Harrison's treatment of overlap repulsive potential which takes into account the interactions up to second neighbors.

这种新方法的理论基础是利用Hildebrand近似、并运用Harrison的处理方法来考虑排斥能，即考虑离子间的相互作用直到次临近离子。

Hungarian approximation method and neighborhood search method are used for vertical via assignment.

提出了2种垂直通孔分配算法：比较精确的匈牙利近似算法；比较快速的邻域搜索方法。

The initial-boundary value problem for hyperbolic equation in one-dimensional domain with moving boundary is studied. The discrete time finite element approximation is suggested, and its stability is proved.

研究了具有变动边界的一维区域上的双曲型方程的初边值问题；提出一类全离散有限元逼近格式，并证明了格式的稳定性。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。