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changes.mady.by.user Arthur Aslanyan (Nafta College)

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where 

LaTeX Math Inline
bodyrg(x_i)
 and 
LaTeX Math Inline
bodyrg(x_i)
 are the ranks of elements 
LaTeX Math Inline
bodyx_i
 and
LaTeX Math Inline
bodyy_i
,  i.e. index number in a low-to-high sorted array:  

LaTeX Math Block
anchorRang
alignmentleft
\{ x \} = \{ x_1, x_2, x_3 ... x_n \} \rightarrow \{ rg(x) \} =

 \{ x_{i_1}, x_{i_2}, x_{i_3} ... x_{i_n} \}, \, {\rm where} \, x_{i_1} \leq x_{i_2} \leq x_{i_3} ...  \leq x_{i_n}

...

anchorM7TH8
alignmentleft

...

.

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