不变性

It investigates mainly infinite matrix conver-gence、infinite matrix transformations、the automatic continuity and boundedness of infinitematrix operators、infinite matrix topological algebras、invariant theory、infinite matrix meth-ods、compact operators series and Eberlein-Smulian theorem,etc.

主要研究了无穷矩阵收敛、无穷矩阵变换、无穷矩阵算子的自连续性和自有界性、无穷矩阵拓扑代数、不变性理论、无穷矩阵方法、紧算子级数与Eberlein-Smulian定理等。

This paper gives the definition of grey topological linear space for the first time, andproves that it has some characters similar to those of ordinary topological linear space,suchas translation invariance ,balance and absorbability.

给出友拓扑线性空间的定义，证明它具有与普通拓扑线性空间相类似的性质，如平移不变性，均衡性，吸收性等。

The CNEAR parameters are invariant to translation, rotation around the origin, scale and choice of the starting point in tracing a boundary.

CNEAR模型参数具有平移、旋转和比例不变性并与计算起始点的选择无关。

The CNE-AR model coefficients are invariant to translation, rotation, scale and choice of the starting point in tracing a boundary, in which both linear and nonlinear features of the shape boundary are taken into account, and the intrinsic characteristics of the shape boundary are further depicted.

CNE-AR模型系数具有平移、旋转、比例和轮廓跟踪起始点选择不变性，兼顾了图形轮廓中的线性与非线性特征，深刻反映了图形轮廓的本质特性。

This method takes full use of translation invariant of NSCT and enhances detail keeping ability.

由于充分利用了NSCT变换的平移不变性，使去噪后的细节保护能力增强。

The reason is that the de_noising algorithm lacks of wavelet translation invariant.

基于传统的小波变换去噪算法可能使信号的急剧变化部分产生人为的振荡现象，产生这种现象的一个直接原因是小波缺乏平移不变性。

This method not only has the feature of translation invariant, but also avoids image segmentation which may lead to a complex calculation, so it can be realized easily.

该方法既满足位置不变性，又能避免进行图像分割，从而避免了因图像分割引起的复杂计算，使算法容易实现。

The proposed algorithm is demonstrated by applications to be invariant to translation and scaling, is about 30 times more computationally efficient than the Fourier-based descriptors.

实际应用验证表明，该算法对轮廓特征的表述具有较好的平移、尺度不变性，且具有30倍于傅里叶描述子的运算效率。

The main results as follow:(1) We give three kinds of distance of interval-valued fuzzy sets defined on real line R, denoted by d~*,d_p~* and d_∞~*, and study some properties, for example, homogeneity, translation invariant and so on.

主要工作如下：(1)给出了定义在实数域R上的区间值模糊集之间的三种距离d~*，d_p~*和d_∞~*，讨论了它们的基本性质，如齐次性、平移不变性等。

Wavelet moments are translation, rotation and scale invariant, and can extract local multi-level features, so they are applied as features to describe motion sequence and actions.

小波矩具有平移、旋转和缩放不变性，能够提取局部多层次特征，被用来作为特征描述运动序列以及动作。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。