子模

The paper first obtains the L2 -apriori estimates for the solutions of two kinds of autocatalytic model s under Dirichlet boundary conditions, and then, using the properties of linear semigroup and delicate calculations, the estimates of the maximal norms are obtained, therefore, the global existence of the solutions is proved.

该文利用重要不等式及能量积分方法首先得到了解的初等的先验估计。然后利用线性半群的有关性质及精细计算得到了解的最大模估计，从而证明了两类三次自催化模型在Dirichlet边界条件下整体解的存在性，并进而证明了第一类模型的最大吸引子的存在性

Also in the 3-D space, we assign the 20 amino acids to 20 vertices of the dodecahedron. By the symmetry of the dodecahedron we obtain 3-D representation of 20 amino acids, and 3-D graphical representation and the corresponding numerical sequence of protein sequences. And similarity and dissimilarity analysis based on the invariants of graphs and characteristics of numerical sequences are given for nine RNA secondary structures of RNA-3 of virus. We construct sequence phylogenetic tree of a group of cytochromes C protein.

在DNA三联体密码子表示的基础上，在半复平面上给出了蛋白质序列的非退化的2-D图形表示，同时利用复向量的主要特征—模和相位，给出了蛋白质序列的一种数值刻划，进一步在3-D空间里，把20种氨基酸分别分配给正12面体的20个顶点，根据正12面体的对称性得到了20种氨基酸的3-D表示，进而得到了蛋白质序列的3-D图形表示和对应的数字序列，并利用图的不变量和数字序列的特征比较了9种动物的神经元

This multigrid solver is proven to provide the same accuracy as the finite element solution with respect to energy norm, and the computational complexity is suboptimal.

并证明用共轭梯度法作迭代算子时，该方法可以达到能量模意义下的最优，计算复杂度接近最优。

Composite materials ; elastic moduli ; method of conditional moments ; stochastic function ; green's operator

复合材料；有效模量；条件矩法；随机函数；格林算子

The integral operator is introduced such that the control system achieves a zero steady state error.

滑模面中积分算子的引入确保了闭环系统零稳态误差的性能要求。

We study its integral representation , estimate of coefficients,maximum modulus estimates.

本文引入了某族定义在单位圆内的解析函数，研究了它们的积分表示，系数估计，最大模估计及其子族的Fekete－Szego不等式，获得了一些较有关文献更一般的结果。

Firstly,on the basis of the generalized fuzzy integral,which is defined by nonnegative measurable functions. Through introducing T-norm operator,we extend the integrand functions to the fuzzy valued function and give the definition of so-called T-fuzzy valued integral.

首先，在针对非负可测函数所定义的广义模糊积分的基础上，通过引入T—模算子，将被积函数推广到取值于模糊数的模糊值函数，给出了所谓的T—模糊值积分定义，获得了这种积分的一些基本性质。

Moreover, the semiopen mapping theorem, the semiclosed graph theorem and the semibounded inverse theorem are established under some conditions of weaker t-norms.

对MengerPN空间上的线性算子引入β-半有界，β-半开及β-半闭等概念，讨论了它们间的关系，并在较弱的t-模条件下建立了半开射定理，半闭图定理和半有界逆定理。

In chapter 5, first an edge detection method processed by determining wavelet local modulus maximum is described, and its limitation is analyzed.

第五章 阐述了子波变换局部模极大值的边缘检测方法，指出了该方法的不足之处。

Two bulk magnons are observed. One is the thermally excited magnon and another is the uniform magne-tostatic mode.

此实验观测到了两种体波性质的磁振子，一个是热激发的自旋波，另一个被确认为静磁模。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。