在具有向量值范数的实向量空间上，通过引入一个定义在向量格上的特殊映射来讨论压缩映射，并证明相应的不动点定理。
The contractive mappings in the vector space, which is with vector norm are defined by a map on the vector lattice.
利用这种新型算法找到的短向量比使用标准LLL规约算法求得的短向量更加接近格中的最短非零向量。
This l-reduced lattice reduction algorithm can find vectors shorter than ones got by the standard LLL algorithm which is widely used in this field.
在向量自回归模型基础上，通过格兰杰因果检验对我国货币供给的内生性或外生性作了实证检验。
This paper, based on Granger causality test in a vector autoregressive process, empirically analyzed the money supply in China.
为了实现目标的快速检测，提出了一种新的基于拉格朗日支持向量机(L -SVM)的线性级联式分类器的构造方法。
To detect objects quickly, a new method is presented to construct a cascade of linear classifiers with L-SVM (Lagrangian Support Vector Machine, L-SVM).
通过对时间序列建立向量误差修正模型，运用单位根检验、协整检验、格兰杰因果关系检验、脉冲响应函数等方法精确地度量系统中变量之间相互影响的动态过程。
The article USES VECM, ADF Test, Johansen Test, Granger Causal Relation Test, Impulse Response Function to accurately measure the process that the variables influence each other in the system.
提出了一个新的支持向量机模型——基于边界调节的支持向量机，并利用拉格朗日定理得到了这种支持向量机的对偶目标函数。
In order for an SVM to be more robust to noise, a new SVM model i. e., the support vector machine based on adjustive boundary SVMAB is proposed.
提出了一个新的支持向量机模型——基于边界调节的支持向量机，并利用拉格朗日定理得到了这种支持向量机的对偶目标函数。
In order for an SVM to be more robust to noise, a new SVM model i. e., the support vector machine based on adjustive boundary SVMAB is proposed.
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