不变性

We investigated Gaussian model on some fractal lattices firstly with anexactly Real-Space Renormalization Group method.

由于分形结构不具备欧几里得空间晶格所具有的空间平移不变性，通常采用的基于傅立叶变换的动量空间重正化群方法已经不再适用。

Because invariant moments are invariable to transportation, rotation and scale transformation, they are widely used in automatic target recognition.

不变矩特征具有平移、旋转和比例不变性等优点，因此在目标识别中得到了广泛的应用。

With the segmented mass contour, spiculated tissues surrounding the mass are detected, and a quantitative spiculation index is computed to assess the degree of spiculation.

其次，根据同一病患同侧乳腺组织拍摄的CC视图和MLO视图中相应肿块病灶区域在中轴线上的投影点与乳头之间的距离基本保持不变的性质，匹配了多视图中相应的可疑病灶区域，并基于匹配区域对提取了视图不变性特征和相似性度量特征。

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 this paper, we propose the translation-invariant contourlet-like transform with lower redundancy than both the nonsubsampled contourlet transform and the translation invariant contourlet transform.

本文提出了一种具有平移不变性的类轮廓波变换，其冗余度比非抽样轮廓波变换和平移不变轮廓波变换更低。

The features of the fractured medium and the rock matrix in the fractal composite reservoirs are describes with the fractal dimension (which describes the geometric features) and the fractal index (which depicts the connectivity of the fractal fluid flow network); An analysis mathematical model of well testing is proposed for inconstant flow rate with the closed outer boundary and the wellborn storage and the skin effects.

分形是研究自然和社会中广泛存在的零碎而复杂、无序、不规则、非线性、不光滑，具有自相似、自仿射和标度不变性的复杂系统、图形、构造、功能、性质和复杂现象，及隐藏在这些复杂现象背后的，具有精细结构、内在随机性，局部与整体本质联系的，被传统线性科学排斥在外的不规则"病态"，不可微的事体，形体。

David Layzer, writing in his semiscientific book Cosmogenesis, argues that "the central property of life is not reproductive invariance, but reproductive instability."

戴维雷泽尔在他科普性的书《宇宙发生说》中辩称，&生命的核心价值不在它繁殖的不变性，而在它繁殖的不稳定性。&

David Layzer , writing in his semiscientific book Cosmogenesis, argues that "the central property of life is not reproductive invariance, but reproductive instability."

戴维雷泽尔在他的科普性书籍《宇宙发生说》中辩称，&生命的核心价值不在于它繁殖的不变性，而在于它繁殖的不稳定性。&

Then, cor ners were clustered according to the corner clustering strategy to build the inv a riant model of local features of unknown natural landmark.

根据角点聚类策略提取自然路标局部特征，并提出不随距离、角度变化的局部特征不变性表示及匹配方法。

The new expansions have advantage of being translationally invariant.

我们采用Lorentz规范，对三个常见的多点函数真空平均值作了展开，得到的展开式具有平移不变性，我们利用这些展开式，计算了胶子和夸克在链近似下的完全传播子，而包括非微扰效应的夸克完全传播子在固定点规范下是计算不出来的。

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。