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The nonlinear plant is first linearised, the fuzzy basis function vector is then introduced to adaptively learn the upper bound of the system uncertainty vector,and its output is used as the parameters of the compansator in the sense that both the robustness and the asymptotic error convergence can be obtained for the closed loop nonlinear control system.

在该方法中，首先将非线性系统线性化，然后利用模糊基函数向量自适应学习系统不确定向量的上界，模糊基函数向量可作为补偿控制器的一个参数。在控制系统的设计过程中可充分保证非线性控制系统的鲁棒性和跟踪误差的渐进收敛性。

In order to determine the fractal dimension of the interface, structures with different rotation radii are set in the transition region. By using above regulation, the number of surface molecules of each rotation structure with certain radius can be obtained, then correlate these molecule numbers with the corresponding radii, in a logarithmic coordinate system the asymptotic slope of the correlated curve is the fractal dimension of the liquid-vapor interface.

为了确定界面的分形维数，在气液过渡区中作出不同回转半径的结构，利用（2～5）/1.2r〓规则找出其中所包含的气液界面上的分子数，然后将这些分子数与回转半径关联，在双对数坐标中此关联曲线的渐近斜率便是气液界面的分形维数。

The likelihood ratio criterion of sphericity test, its asymptotic expansion and limiting distribution are obtained.

第二部分：考虑广义球形检验问题。论文得到了这个问题的检验准则，并给出了它的渐进展开。

Basing on this, the formal asymptotic expansion of solution for the original problem is obtained. Finally, under suitable conditions, existence and its uniform validity of asymptotic expansion of solution for the initial boundary value problem are proved,by using theory of differential inequalities.

在这基础上得到了原问题解的形式渐近展开式；最后，在适当的条件假设下，利用微分不等式理论，证明了原初边值问题解的存在性及其渐近展开式的一致有效性。

Under a given assumption, the author of this paper obtained the uniformly powerful asymptotic expansion of M order and made an estimation of the remainder in asymptotic series.

研究拟线性双曲型方程柯西问题，在一定假设下，得到解的M阶一致有效的渐近展开式，并作出余项估计

The uniformly valid asymptotic expansion of the solution to a class of time delay differential equations with damping term and general forcing term was obtained and a simple analytic approximate expression for the resonance solution was given.

对于一类带阻尼和一般力的时滞微分方程问题求得一致有效渐近展开式，给出了共振解筒洁的近似解析表达公式。

These include an asymptotic formula in a neighborhood of the origin,a result which as far as we are aware has not yet been obtained previously.

其中有一个在原点的领域附近的渐近公式。据我们所知，这个结果之前还没有被得到过。

By deleting integral singular point, the Green function and its far field asymptotic formula that is satisfied with radiation condition is obtained.

对兴波速度势表达式中的积分奇点进行了处理，得到满足辐射条件的格林函数和远场渐近解。

Under the assumption that the claimsizes are subexponentially distributed and negatively dependent, a simple asymptotic formula on finite-time ruin probability is obtained.

在索赔额分布为负相依的次指数分布假定下，建立了有限时间破产概率的一个渐近等价公式。

By further discussing the asymptoticality of" medial point" for mean value theorem in some references, several new asymptotic estimation formula are obtained under weaker conditions, which unify and extend corresponding results in the references.

对文献中的"中间点"渐近性的有关结果作了进一步讨论，获得几个新的在更弱条件下的渐近估计式，从而在很大程度上推广了文献中的相应结果。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。