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Signature

Usage

Signature[list]给出用来以规范顺序放置list的元素所需要的置换数.


Notes

• 例如: Signature[ a,b,c ]LongRightArrow ; Signature[ a,c,b ]LongRightArrow .
• 该置换数为  , 其中  是建立该置换所必须对元素进行移项的个数.
• 如果 list 有两个元素相同, Signature[list] 返回 0.
• 参见 Mathematica 全书: 1.8.14节, 3.2.5节 和 3.7.11节.
• 同时参见: Order, Sort, Cross, Minors, Det, KroneckerDelta.
Further Examples

The first list is in canonical order. The second needs three transpositions to put it in canonical order.

In[1]:=  

Out[1]=

In[2]:=  

Out[2]=



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