几何度量是在D.希尔伯特建立的欧几里得几何的公理体系（见欧几里得几何学)的基础上,线段度量的理论安排在连续公理之后，是以结合公理、顺序公理、合同公理、连续公理等四组公理为理论基础而进行论述的。
然后总结了这些几何度量的性质，并进行了数学证明；
Then the properties of these geometric measures were summarized and the mathematical proofs were finished.
研究核函数的几何度量和几何性质，并给出核函数选择(核选择)的建议。
The geometric measures and properties of the kernel functions were studied and some Suggestions about the selection of kernel functions were presented.
我们发现量子谐错的几何度量的时间演化有时并不能准确地反映量子谐错的衰减模式。
For the second question, we will see that the geometric measure of quantum discord may not reflect the decay modes of the quantum discord.
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