查询词典 kernel of linear mapping

To overcome the drawback that the traditional Linear Grouping Algorithm, when extracting linear structures, is sensitive to outliers in datasets, a new finite step according to existence of optimal linear grouping in data set and a new algorithm based on k-means clustering, total least absolute deviation and resampling were proposed, which detected several different linear relations at once to minimize the total orthogonal distances from n given points to its nearest hyperplanes.

为克服传统提取数据集中线性结构的LGA对噪声数据比较敏感的缺陷，提出了两种基于稳健的全最小一乘准则下的LGA新算法。首先证明了全最小一乘准则下数据集最优划分的存在性，并据此给出一种有限步终止算法。其次为提高计算速度，根据k-means算法、全最小一乘准则和重抽样方法给出另一种快速收敛算法。

As for the undivided linear sample space, the kernel function is needed to map onto another high dimension linear space.

对于线性不可分的样本空间，需要寻找核函数，将线性不可分的样本集映射到另一个高维线性空间。

Their lack of a global mapping can be remedied by a recently developed method based on locally linear embedding, called locally linear coordination.

近年来提出的概率子空间混合模型对于图像流形学习是一种非常有用的方法，其对全局映射的缺乏可以由最近发展起来的基于局部线性嵌入，也称为局部线性坐标的方法来改善。

Secondly, we discuss generalizedderivable mappings at unit and Jordan derivable mappings at unit on Von Neumannalgebra, and we prove that every norm continuous linear mapping generalized deriv- able at unit is a generalized inner derivation, every norm continuous linear mappingJordan derivable at unit is a inner derivation.

其次对Von Neumann代数M上的在单位广义可导和在单位Jordan可导的线性咉射进行了讨论，证明了在单位广义可导的范数连续的线性映射是M上的广义内导子，在单位Jordan可导的范数连续的线性映射是M上的内导子。

However, methods and references for difference equation are relatively less. The new method proposed in this paper transfer the complex boundary value problem into the existence and uniqueness of the solution of the linear equations. For linear case , we obtained the necessary and sufficient conditions for the existence and uniqueness of the solution for the BVP; For the nonlinear case ,we got a series of new sufficient conditions by using contraction mapping theory and cone theory .

而差分方程边值问题的研究方法和文献还很少，文中新的研究差分方程边值问题的方法是将复杂的边值问题求解转化为代数理论中的线性方程组解的存在和存在唯一问题；对线性情形，较容易地获得了边值问题的解存在以及唯一的充分必要条件，而对非线性情形，则通过压缩原理和锥理论等各种不动点定理，获得了一系列新的充分条件。

The ordinary structure mapping methods mainly include two kinds in an area of linear or quasi linear variation of velocity with depth: the one is space correction for isochronic t 0 map resulted from interpretation of stack section; the other is to using uniform velocity for time depth conversion of isochronic t 0 map resulted from interpretation of migration section.

石油地球物理勘探，2 0 0 1，36 (5 )：6 18～ 6 2 5 在速度随深度呈线性或准线性变化的地区，主要有两种常规构造成图方法：1对由水平叠加解释剖面得到的等 t0 图进行空校；2对由偏移解释剖面得到的等 t0 图采用统一速度进行时—深转换。

Space-filling curve has been extensively used as a mapping scheme from high-dimensional space into linear space,and imposes a linear order of points in th...

依据Z曲线构造过程，将高维空间分割成大小相等的网格，以此将网格中的点映射到线性空间中。

All teachings in the great-vehicle Buddhism and its sutras regard the personal realization of Tathagatagarbha as the kernel; the personal realization of the two-vehicle Buddhism, according to the historic facts in The Four Agama Sutras, has the central thought of believing in the permanent existence of Tathagatagarbha so that the state of the remainderless nirvana becomes real, permanent and unchangeable, and does not fall into the nihilistic state. It is not just us who claim Tathagatagarbha as the kernel of Buddhism; it has been so since the very beginning when Buddha established Buddhism.

因此，大乘佛教及经典中的种种所说，都是以如来藏的实证为核心；二乘佛教的实证，依四阿含所显示的史实，则是以相信有如来藏常住不灭，使无余涅槃成为真实、常住不变，而不落入断灭境界，作为中心思想；并不是只有我们有此主张，而是佛教从释迦牟尼佛创教以来就一直都是以如来藏为核心，初转法轮时就已经如是，故在《阿含经》中仍然处处记载著这样的实例，平实已在《阿含正义》共七辑书中明确的举证《阿含经》中是如何一再开示这个正理了；此外，不仅止北传的大乘佛教与四大部阿含如此记载，南传的小乘佛教经典也是如此记载，才会有爱阿赖耶、乐阿赖耶、欣阿赖耶、喜阿赖耶、穷生死蕴等记载。

Michael Bushnell, the main developer of the kernel, preferred the name HURD, and redefined Alix to refer to a certain part of the kernel--the part that would trap system calls and handle them by sending messages to HURD servers.

Michael Bushnell，核心的主要开发者，首选名字HURD，并重定义Alix来指核心中的某些部分--捕获系统调用并以发送消息给HURD处理器来处理它们的部分。

Then we propose a new kind of kernel function—autocorrelation kernel function.

核学习方法中核函数的研究：核函数是核学习方法的核心部分。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。