A What will be value of this differential? Kindly help and explain

ssafdarpk
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Can someone help me understand the answer to this differential?

I have the following expression
1651869542261.png
where
1651869584718.png

Now what I can understand the differential of
1651869641031.png

what will be the following?
1651869676443.png
 
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ssafdarpk said:
where
1651869584718-png.png

Now what I can understand the differential of
1651869641031-png.png
From these equations it seems \frac{\partial H_i^j}{\partial x}=0 holds. Could you tell me physical meaning or background of the first 4x4 quantity for further investigation ?
 
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