类域

So far, classes are provided to work on finite set domains.

目前为止，提供有可在有限集合域上工作的类。

Compared with the method of optimal filtering in fractional Fourier domain, this method has better applicability.

与分数傅里叶域最优滤波的方法进行的对比分析说明，类傅里叶变换方法的适用范围更宽。

If Al or Ni being regarded as the center, the Gaskell polyhedron, trigonal prism capped by three half octahedra, can be obtained.

虽然这种结构类似于Gaskell提出的金属-类金属非晶的局域结构单元，但具体的堆垛模式发生了改变。

In addition,we prove that the invariant rings of the maximal subgroups of class C_1 of the general linear group are polvnomial,and so do the invariant rings of root subgroups of the special linear groups.

另外，证明有限域上一般线性群的C_1类极大子群和特殊线性群的根子群的不变式环是多项式的。

The difference between several versions of generalized bent function's definitions over finite fields is discussed.

结果表明在我们的定义下，一般有限域和剩余类环上的完全非线性函数和广义bent函数的研究是一致的。

A generalized Gaussian Laplacian eigenmap algorithm based on geodesic distance is proposed,which incorporates geodesic distance and generalized Gaussian function into the original Laplacian eigenmap algorithm.GGLE algorithm can adjust the similarities between nodes of neighborhood graph,and can preserve the different degrees of local properties by using super-Gaussian function,Gaussian function or sub-Gaussian function.Moreover,GGLE can avoid the deficiency of Euclidean distance by using geodesic distance when neighborhoods of data points are enlarged for preserving more neighborhood relations.Experimental results show that the global low-dimensional coordinates obtained by GGLE have different clustering properties and different degrees of preserving local neighborhood structures when different generalized Gaussian functions are used to measuring the similarities between high-dimensional data points.(3) An ensemble-based discriminant algorithm based on GGLE is proposed.

该算法将测地线距离和广义高斯函数融合到传统的拉普拉斯特征映射算法中，可以调整近邻图结点间的相似度，通过选择超高斯、高斯或者次高斯函数来实现不同程度的近邻局部特性的保持；而且当需要保持更多的近邻关系使得数据点邻域增大时，采用测地线距离可以避免欧氏距离度量不合理的缺陷；实验结果表明在用不同的广义高斯函数度量高维数据点间的相似度时，局部近邻结构保持的程度是不同的，GGLE获得的全局低维坐标也呈现出不同的聚类特性。

1Based on the characteristics of carbonatite reservoir in Sangtamu area, we summarize the type of seismic reflection and the distribution of oil and gas.(2)Through the study of the lateral difference of local amplitude, which can predict the short, unorderly reflective energy gobbet of carbonatite reservior, we study the distribution of carbonatite reservoir with crack.(3)Analyzing the change of the seismic waveform, applying nerve network method to classify the seismic waveform, find the rule of its change, recognizing the change rule of seismic facies.(4)Applying the seismic multi-attribute cross method to study the surface and inner of carbonatite reservoir in buried hill. We first extract the 5 kinds of seismic attribute. Through a series of choices, we find those seismic attributes that are sensitive to the change of carbonatite reservoir.

主要的研究包括：①根据桑塔木碳酸盐岩的储层特点，总结了该区的地震反射特征及油气分布特征；②研究出一种有针对性的地震属性--局域振幅横向差异性，来定量刻画潜山内部"短轴"杂乱反射能量团，预测缝洞型碳酸盐岩内部储层的平面分布规律；③通过对地震波形变化的分析，运用神经网络对地震波形进行有效分类，找出波形变化的总体规律，从而认识地震相的变化规律；④应用交会法地震多属性分析方法，对潜山表层和内部分别提取了5大类40种地震属性，通过一系列分析表层及内幕各自优选出3种、4种地震属性用于进行交会分析。

While the above two papers mainly focus on how to model the spatial relations of variables on a field, IGM targets at learning the distribution of data variables that are independently and identically distributed.

上面这两类模型研究的范畴属于空间统计邻域，而IGM是一种用来学习随机向量分布的模型。

For finite places in quadratic imaginary fields with class number 2 or 3, the concept of principlal norm is introduced.

对于类数为2或3的虚二次域中有限位提出了主范数的概念。

It is implicit that the one we want is the one defined in the current class scope.

我们想要的是定义在当前类作用域中的，这是隐含的。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。