What does this vector representation mean? Can value of "ik" be greater than 'T'?

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Can value of "ik" be greater than 'T'?
Please provide some context; when I see an unfamiliar notation, I look elsewhere in the book or article to see if it has been defined, or if there is something that might provide a hint. I can't even tell whether [imath]i=\sqrt{-1}[/imath] or just an index.
Can you show us, or tell us, the source, or at least the topic under discussion?
 
Sure. It's in the Heuristic algorithm's Step 2 on page 9 of the attached document.

I've looked through the document to find the expression's meaning but couldn't figure it out.
 

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Looks strange to me. Without having a clue about the algorithm in question my best, but very uneducated guess, would be that [imath]e_{ik}[/imath] has -1 at position [imath]i[/imath], 1 at position [imath]k[/imath], and 0's elsewhere.
 
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