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I have a question about nomenclature and it may be a bit more than simple nomenclature as I am not quite sure I understand it:

So, I am reading a paper and going through it very slowly as it is quite intense. But one of the line is as follows:

Suppose the transformation s maps a point p to the point s(p). Let u = s - I be the displacement field associated with the transformation s.

I am confused as to what s - I represents. The subtracting of the identity from a transformation seems strange to me.

I always thought the displacement field can be simply represented for each particle by associating a vector with each particle...

I hope someone can clarify this doubt for me.

Many thanks,

Luc

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# Nomenclature question

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