A NEW CONSTRUCTION IN THE THEORY OF LATTICE COVERINGS OF AN n-DIMENSIONAL SPACE BY EQUAL SPHERES
A NEW CONSTRUCTION IN THE THEORY OF LATTICE COVERINGS OF AN n-DIMENSIONAL SPACE BY EQUAL SPHERES
复制标题
n维空间等球晶格覆盖理论的新构造
DOI：
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发表时间：
1970
期刊：
影响因子：
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通讯作者：
M. I. Stogrin
中科院分区：
文献类型：
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作者：
B. Delone;N. Dolbilin;S. Ryskov;M. I. Stogrin
本文在 n 维空间的等球格覆盖理论中提供了新的构造原理。其原理基于参数空间中物体 V 的凸性。整个理论是根据该凸性与判别体的严格凸性的关联推导出来的。
This article furnishes a new construction principle in the theory of lattice coverings of an n-dimensional space by equal spheres. The principle is based on the convexity of a body V in the parameter space. The whole theory is deduced from association of this convexity with strict convexity of the discriminant body.