三阶对称张量可识别性的判别准则
A criterion for detecting the identifiability of symmetric tensors of size three
摘要：
证明了$3\times ...\times 3$型的对称张量$P$的可识别性的一个判据，$d$倍，其秩$k$由$(d^2+2d)/8$限定.该标准是基于一组点$P_1,..., P_k$的希尔伯特函数的研究，它计算张量$P$的秩。
英文摘要：
We prove a criterion for the identifiability of symmetric tensors $P$ of type $3\times ...\times 3$, $d$ times, whose rank $k$ is bounded by $(d^2+2d)/8$. The criterion is based on the study of the Hilbert function of a set of points $P_1,..., P_k$ which computes the rank of the tensor $P$.
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