空间性

In this method,a 3-D Color Look-up Table is built in which only 18 bits are applied to represent one kind of color,instead of conventional 24 bits.

1引言图像处理需占用大量的存储空间和计算时间，图像处理算法的实时性是我们要解决的一个重要问题。

By using generalized-weak commutativity mapping, the existence of common fixed point for this class of contractive type mappings is studied in complete metric space, a common fixed point theorem for contractive type mappings is obtained, which largely improve and extend the corresponding results in some references.

通过使用映象的广义弱交换条件，在完备度量空间中研究了更为广泛的一类压缩型映象的公共不动点的存在性，给出了一个新的公共不动点定理，从而在很大程度上改进和推广了现有文献中的一些结果。

Finally we discuss the collectively compact Toeplitz operator sequences on Dirichlet space.it extend the single compact operator.

最后对Dirichlet空间上的Toeplitz算子序列的总体紧性进行了刻画，这是单个算子情形的推广。

In the second chapter, the KDV type equation on unbounded domain is considered. Applying with the method of decomposing operator and the theory of constructing some compact operator in weighted space, the existence of exponential attractor is obtained.

在第二章中，运用带权空间构造一类紧算子和算子分解的方法，研究了无界区域上的KDV型方程，得到了该方程指数吸引子的存在性。

In the second chapter, the suspension bridge equation on unbounded domainR1 is considered. Applying with the method of decomposing operator and thetheory of constructing some compact operator in weighted space, the existenceof global attractor is obtained.

在第二章中，运用带权空间构造一类紧算子和算子分解的方法，研究了该方程在无界区域R1上的情形，得到了其全局吸引子的存在性。

The major requirements of these joints are big mobility, high stiffness, small mass and compact structure space.

对这些关节的要求主要是：移动性大、刚度高、质量轻以及结构空间紧凑。

With a combination of wavelet transformation and regularization method we convert the ill-posed problem into a posed problem in coarse space, which takes full advantage of compact support of wavelet.

将小波变换和正则化方法相结合，利用小波函数的紧支撑性，将原不适定问题转化为粗子空间上的适定问题。

First,we show a compactness theorem in SBH,then byusing this compactness theorem,we discuss variational problems for two different func-tionals.

首先给出了SBH空间的一个紧性定理，然后利用这个定理讨论了两个不同泛函的变分问题。

Some existence and uniqueness of a common fixed point for a family of non-self mappings of closed subset in a complete metrically convex metric space are given.

给出了若干个度量凸空间的闭子集上的非自映射族的公共不动点的存在性与唯一性。

Khasminskii ([19]) studied the ergodic properties of recurrent diffusion processes on aσ-compact complete metric space.

Khasminskii([19])研究了σ-紧完备距离空间上常返扩散过程的遍历性。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷