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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.
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