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1·The boundary integral equation in homogeneous media was dispersed into algebraic equations through the use of spline function.

采用样条插值函数将均匀介质的边界积分方程离散为代数方程组。

2·NURBS curve equation has three kinds of the equivalence form, i. e. rational fraction, rational base function and homogeneous coordinate.

NURBS曲线方程具有三种等价形式：有理分式表示、有理基函数表示和齐次坐标表示。

3·In particular, we use generalized Green's function to prove that the high-order nonhomogeneous boundary value problem has a solution when the associated homogeneous problem has a nontrivial solution.

特别是利用广义格林函数证明了高阶齐次方程存在非平凡解的情况下对应的高阶非齐次边值问题存在一解的充要条件。

4·The admissibility of non-homogeneous quadratic form estimate of variance on the growth curve model was studied under quadratic loss function.

在二次损失函数下，研究了增长曲线模型误差方差的非齐次二次型估计的可容许性问题。

5·Since the homogeneous model can approximate the objective function better than the quadratic model, the new algorithm is superior to the classical trust region algorithm.

由于该模型比二次模型更近似目标函数，故新算法优于传统的信赖域算法。

6·This paper gives an explicit solution to linear non-homogeneous recurrence relations with constant coefficients by means of generating function.

应用生成函数的方法求出了常系数非齐次线性递推式的显式解。

7·Because the Grid is homogeneous, distributed and dynamic, traditional methods of resource management will not function well in Grid environment.

由于网格具有的异构性、分布性和动态性，传统的资源管理方法在网格环境中并不适用。

8·A sufficient condition of a homogeneous Markov skeleton process being a homogeneous Markov process is given and the transition function is obtained.

给出了一个齐次Markov骨架过程成为齐次Markov过程的充分条件及其转移概率函数。

9·A homogeneous structure of beam is in continuation and bears additional load; and the displacement of the beam is converted into periodic function.

将均匀梁结构延拓并加上附加载荷，使梁的位移化为周期函数。

10·Metallocene catalyst is a new kind of catalyst having homogeneous-site, molecule tailing capability and controlled structure. It can be used to synthesize special function polyolefine.

茂金属催化剂是一种具有均匀的活性中心， 分子裁剪性和结构可控性的新型催化剂，用它催化可制得具有特殊性能的茂金属聚烯烃。