查询词典 translation invariant

Equivalently, it can be raised as follows: for an A operator T, if M and N are two invariant subspaces of T satisfying N include M and dimN/M=∞, then does there exist another invariant subspace L such that N include L, and L include M ? It is rather difficult to study the invariant subspace problem of general diagonal operators.

研究表明它可以约化为对角算子的不变子空间的情形，具体地它有如下的等价提法：对于A算子算T，，如果M和N是T的两个不变子空间，满足且dimN/M=∞，那么是否存在T的另一个不变子空间L使得M包含于L，且L包含于N？

By applying these two tools,we mainly discuss the problems as follows:1 Perturbation identities for the generalized polar decomposition:By applying singular value decomposition, we study the perturbation bounds of the generalized polar decomposition under unitary invariant norms when A is perturbed by addition or multiplication,respectively and give our bounds in identities.2 A class of new unitary invariant metrics: This paper generalized a class of new unitarily invariant metrics and give the upper-bounds and lower-bounds by C-S decomposition.

利用这两个强有力的工具，本文主要讨论了如下问题：1 矩阵广义极分解的扰动等式：利用奇异值分解，本文分别讨论了加法扰动和乘法扰动下矩阵广义极分解在任意酉不变范数下的扰动界，并首次以恒等式的形式给出了酉极因子和半正定因子的扰动界。2 一类新的酉不变度量：本文推广了文[22] 中的结论，定义了一类新的酉不变度量。

The spectral curve vs invariant mass is becoming wider and the peak is shifted towards the high invariant mass region with the increase of temperature. However, in ultra high temperature or density envi- ronment, the peak is shifted towards lower region and the curve is changed narrower with the increase of temperature. In the invariant mass region M 憕.-?0.4 GeV?.6 Ge1~, the spectral function is enhanced very much. which contributes to the interpretation of dilepton enhancement results in relevant experi

结果显示高温高密强子物质环境对其有非常重要的影响：ρ谱函数在温度或密度不太高时谱函数曲线变宽，并且峰朝不变质量高的方向移动；在极端高温或高密情况下谱函数却变窄，并且峰朝不变质量低的方向移动，在不变质量M～0.4-0.6 GeV区间谱函数有比较明显的增强，这有助于解释双轻子产生的相关实验现象。

We study a polygon representation composed by the vertex angles and ratios of adjacent edge lengths, which is invariant to geometric transformations such as translation, rotation and scaling. The polygon is globally represented by a scale-invariant intrinsic matrix.

提出了由顶点转角和相邻边长比例构成的多边形伸缩内在量表示的方法，多边形从整体上由一个伸缩内在矩阵来表示，该表示方法具有平移、旋转和伸缩等几何不变性。

This paper analyses the influence of scale factor on moment invariant features in discrete,constructs a new moment invariant with both scale,translation and rotating invariance.

分析了在离散状态下比例因子对不变矩特征的影响，构造了一种新的不变矩，使其具有平移、旋转和比例因子的不变性。

Theoretical analysis and experiment results all demonstrate that the new adaptive wavelet decomposition proposed in this dissertation not only be translation invariant but also scale invariant.

理论分析及实验结果都证实，本文提出的这种自适应小波多尺度分解不仅对信号的平移是不变的，而且对信号的尺度变换也具有不变性。

In order to improve the sensitivity in phase of Gabor filters, we introduced the rotation and scale invariant filters for texture segmentation based on the circular transform and Mellin transform and their rotation and translation invariant.

并在此基础上，利用圆周变换和Mellin变换的旋转和平移不变性，讨论了具有旋转和伸缩不变性的纹理分割滤波器，以克服Gabor滤波器的相位敏感性缺点。

The present thesis compares the translation strategies employed by the above versions from three aspects: the translation of culture-bound terms, the translation of allusions and the translation of figurative sentences.

内容摘要孔子是中国古代著名的思想家、政治家、儒家学派的创始人，其与弟子的言行记录《论语》在中国和世界产生了巨大而深远的影响。

Based on this discussion, the dissertation attempts to establish a framework for translation from a sociosemiotic perspective, emphasizing that Peirce's triadic division of a sign can be used to explicate translation in a macro point of view and that Morris's famous three types of meaning can be applied to the actual translation practice. From this, it can be clearly shown that a sociosemiotic theory is a sound one in its application to translation.

基于这些讨论，论文构筑出了一个社会符号学的翻译理论框架，强调：皮尔斯对于符号的三分法可用于对翻译进行宏观上的探讨，而莫里斯提出的语言符号的三类意义可应用到具体的翻译实践之中。

In English and Chinese translation, the literal translation and free translation is the translation of two important methods.

在英、汉互译中，直译和意译是两种重要的翻译方法。

It is possible that houses were outrageously priced one year ago and that they are still priced much higher than the national average.

情况有可能是，这里的房价曾贵得离谱，现在的房价仍然远高于全国的平均指数。

This is a mother's love for her child.

这是母亲对孩子的关爱。