Helmotz decomposition definitions.

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pigna
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I' m studing the hodge helmotz decomposition of a flow Field, and i have Found different definitions. I'm Not sure to have assigned the rigth meaning to the terms of the decomposition. Look At The picture( i don't write here cose there are several equations).
 

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Hello Pigna, :welcome:

pigna said:
Look At The picture
Did you do that too ? I can read approximately 40% of it.

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I'm sorry the upload of the image have made its quality Dim. Now I'm using a Phone and is difficult for me to write code lines. I try to upload a pdf version of the pic. Forgive me for the unproper Way I'm posting. The quality should be better.
 

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