定义方程

Empirical likelihood is a nonparametric statistical method used to construct confidence regions for multivariate means,and more generally,for parameters defined by estimating equations.

经验似然是一种非参数统计方法，用于对多元均值参数和更一般地，由估计方程定义的参数，构造置信域。

In this paper, we will study the definination of lines of curvature and the correlative conception, for example, normal curvature, principal direction and principal curvature and so on, the connection of lines of curvature and correlative conception, especially probe into the solution with the equation of lines of curvature and the equivalence with its determinant theorem.

本课题主要研究曲率线的定义及其相关概念如法曲率、主方向、主曲率等，曲率线与相关概念的关系，重点探讨了曲率线方程的求解及曲率线判定的等价定理。

By introducing the general notion of nonwandering operator semigroup T and utilizing a basic result in normed linear space,the nonwandering property of T=e~ is investigated with the constructive method.

通过给出一般算子半群T的非游荡性概念，利用赋范空间的一个基本结果和直接的构造法证明了具有变系数的线性发展方程的强连续解半群T=etA在适当的条件下是非游荡的；另外，通过对C-半群T概念的引进，定义了一个无界算子半群etA，进一步证明了这二者关于非游荡性的联系；最后给出了一个无界算子半群etP关于非游荡性理论的刻画，其中P是微分多项式。

Here mainly introduces five natures of the initial value problems, In several aspects summed up as the following : whether there are solutions to the problems, whether the only solution, the existence of solutions interval extent; Initial issues under what conditions have a solution--Cauchy - Piano existence theorem; how the district between the definition of a solution to open up a larger interval up; initial value problems for the sole condition --- Lipschitz conditions; 3、the numerical solution of the initial value problems of Ordinary Differential equations .

在这里主要介绍了初值问题的5个方面的性质，分别在这几个方面中总结了以下内容：初值问题是否有解，解是否惟1，解的存在区间有多大；初值问题在什么条件下有解----柯西-皮亚诺存在定理；怎样把在小区间上有定义的解开拓到较大的区间上去；初值问题解的惟1性条件---李普希茨条件；3：常微分方程初值问题的数值解法。

Secondly, we define a monotone operator and prove that the orthogonal projection is the solution for the monotone operator equation.

其次定义了一个单调算子，利用单调算子的理论，证明了求解这个正交投影等价于求解一个单调算子方程。

It is antinomy to analysis factor effects according to first and second order term index of quadratic polynomial,so this paper put forward a new method to explain and evaluate factor effect by F test based on partial regression sum of squares.

传统的二次多项式回归方程在依系数正负、大小解释各因子效应时，常出现一次项与二次项结果相互矛盾的情形，而一般的SVR模型又不具解释性；本文从偏回归分析定义出发，建立了基于SVR以F测验解释、评价各因子相对重要性的方法。

The hyperbolic grid generation method which doesn't need to determine the outer boundary of the embedied grid in the Chimera grid and is well controllable for the density of the grid is studied and developed, and in this method the Laplace's smoothing method is used to deal with local corner problem.

1在嵌套网格思想的基础上，研究和发展了嵌套网格方法中不需定义内嵌网格外边界且网格疏密可控性好的双曲型方程网格生成方法，并采用了椭圆光顺技术和当地拐角处理技术。

By making use of the definition of derivative ,one can calculate the derivative of demarcation point ,the derioative of the special elementary function,the derivative of parametric equation.

利用导数的定义可求分界点的导数，特殊初等函数的导数和某些参数方程的导

In this paper,we introduce a novel blending approach for both 2D and 3D curves with the discrete Poisson equation defined on piecewise linear curves as the theoretical foundation.

以定义在分段线性曲线上的离散Poisson方程为理论基础，提出了一种同时适用于平面和空间曲线形状渐变的方法。

In chapter one, we give the definition of the sub-generalized positive definite matrix,study the inverse problem of matix eqution AX = B on the sub-generalized positive definite matrix.

第一章，给出了次广义正定矩阵的定义，进而研究了矩阵方程AX=B在次广义正定矩阵类上的反问题解。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。