解空间

The basic idea of the proposed method is : At first, to obtain the fundamental solution of the governing equation through variables transformation and make the anisotropy remain in the numerical scheme;Then to apply the MFS to solve the problems in both spatial and time domains directly.

该方法的基本思路是，先通过变量变换得到控制方程的基本解，使各向异性继续保留在数值格式中，然后用基本解方法直接在整个时间空间区域上对问题进行求解。

Finally,for the n-unit ring network, by means of space decomposition,we establish sufficient conditions on the stability of the trivial solution and also consider the existence and stability of nontrivial equilibria.

最后，对n元环状神经网络系统，我们利用空间分解的方法讨论了平凡解稳定的充分条件以及该系统非零平衡解的存在性与稳定性。

In this paper, an unconstraint, continuous, twice-differentiable and strictly convex optimization is obtained by utilizing the Huber function to remove the l_1 -norm in the objective of the primal one, which is called the y- approximation of the original primal optimization.

在此基础上，提出一种能够直接在原始空间中求解支持向量机的近似最优解的快速学习算法，并对算法的收敛性、复杂度以及解的性质进行了分析。4。

First, the paper presents mathematically the existence of a solution in the weak formulation of SBV space.

首先在数学上指出了 MS泛函弱解在 SBV函数空间中的存在性，然后讨论了计算弱解的数值逼近方法。

Under the conclusion of this, we prove the exponential asymptotical stability of the solution.

本文主要研究了一类无穷区间正倒向随机微分方程，利用连续性方法证明了此类方程在M~(2，k)(0，∞；R~n)空间中解的存在唯一性，并指出了k的范围，通过所得到的结论，进一步证明了FBSDE解的指数渐进稳定性。

Benzylidene[1,3-bis(2,6-dimethylphenyl)-4,5-dihydroimidazol-2-ylidene]dichloro(2-methylpyridine)ruthenium (62), benzylidene[1,3-bis(2,6-dimethylphenyl)-4,5-dihydroimidazol-2-ylidene] dichloro(2,4-dimethylpyridine)ruthen ium (63) introduce ortho substituted pyridine as dissociating ligand to weaken Ru-N bondand accelerate dissociation of pyridine derivative ligand through steric hindrance.

在钌卡宾配合物[1，3-二-(2，6-二甲苯基)-4，5-二氢咪唑基]-苯亚甲基-(2-甲基吡啶)-二氯合钌(62)，1，3-二-(2，6-二甲苯基)-4，5-二氢咪唑基1-苯亚甲基-(2，4-二甲基吡啶)-二氯合钌(63)中，邻位取代的吡啶作为解离配体，通过邻位基团的空间效应削弱钌-氮配位键，使配体更易解离，提高了催化剂的初活性。

The existence of mild and strong solutions of a nonlinear integrodifferential systems of Sobolev type with nonlocal condition in Banach spaces is discussed.

本文利用算子半群理论和Schauder不动点定理在Banach空间讨论了一类带有非局部条件的非线性Sobolev型积分微分系统的适度解和强解的存在性。

By establishing a new comparison principle,and using method of L-quasi-upper and lower solutions and mixed monotone iterative technique,the results of existence and uniqueness of solutions to Cauchy problem s of first order nonlinear integrodifferential equations in Banach spaces are obtained.

通过建立一个新的比较原理，利用L-拟上下解方法和混合单调迭代法，研究了Banach空间中一阶非线性积分微分方程初值问题解的存在唯一性，并给出了近似解的迭代序列和误差估计式。

This chapter deals with the existence of mild and strong solutions of a nonlinear integrodifferential systems of Sobolev type with nonlocal condition in Banach spaces.

本章在Banach空间中，用算子半群理论以及Schauder不动点定理讨论了一类非线性Sobolev型积分微分方程，在非局部初始条件下，适度解和强解的存在性。

The result pointed out that the vertical distribution of foliage for each species was different,however,generally speaking,the foliage in upper crown (0.3CL) for broad-leaved species in natural secondary forest took a small percentage,about 10%;in middle or middle lower of the crown(0.4CL to 0.8CL) the branches here took the majority percentage of whole foliage,almost 60%to 75%;but in lower crown(0.8CL),there was about 10%of whole foliage.(5)The interspecies competition of trees in secondary forest was expressed by Hegyi competitioin index,and the active competitor was calculated by the competition zone radius and the tree position,DBH,and distance in the zone,it was not all competitors in tranditional calculation.The study introduced crown area overlap index to describe the crown competition between subject tree and its competitors,furthermore,the crown area was classified into 5 levels with a method of equal crown projection area,therefor,the resulting crown area overlap index showed more realities of existing stand conditons.(6)Based on the theoretics of multiply divide,the spatial strcture optimizing model of secondary forest stand selective thinning was developed by diversity mingling,aggregation index,competition index and crown area overlap index,also designed 10 constraint conditions which were related to forestry meanings,the objective function was solved by the implicit enumeration method with LINGO 9.0,using 0-1 integer programming.

并且得出，每个树种在树冠内相对高度上的叶量的垂直分布是不同的，天然次生林阔叶树种的叶量在树冠的上部(0.3CL以下)所占比例很小，约占10%左右；在树冠的中部以及中下部(0.4CL～0.8CL)，叶量所占比例最大，几乎集中了整个树冠60%～75%的叶量；而在树冠的下部(0.8CL以下)，几乎占很少的叶量，大约10%左右。5、采用Hegyi竞争指数来表现次生林内林木的竞争关系，并且根据竞争圈的大小和林木在竞争圈内的分布位置、大小与距离来计算有效的竞争木，并不是传统意义上的全部竞争木；本研究提出用树冠叠加指数来表示林木与周围树木的树冠竞争情况，并采用等树冠投影面积法把树冠分为5级，这样计算的树冠叠加指数更加与现实林分相符。6、本研究基于乘除法的思想，用多样性混交度、聚集指数、竞争指数和树冠叠加指数构建了天然次生林择伐空间优化模型，设计了10个与林学意义相一致的约束条件，并采用0-1整数规划的思路，在LINGO9.0软件中使用了隐枚举法对目标函数求得最优解。7、以M702标准地为应用实例，具体计算出了每株采伐木，经过择伐后，目标函数值按模型设计的要求发生了极大的改变，增加了5倍多，说明了最后这个解的优良性，满足了设计的要求。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。