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Vector Identity (del operator)

 
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Jul19-12, 11:22 AM   #1
 

Vector Identity (del operator)


i am completely lost as to how to go from
[tex]p^ \frac{1}{m}∇p[/tex]
to
[tex]\frac{m}{m+1} ∇p^\frac{m+1}{m}[/tex]
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Jul19-12, 11:49 AM   #2
 
In general, the chain rule should tell you that,

[tex]\nabla p^a = a p^{a-1} \nabla p[/tex]

Choose an appropriate value for [itex]a[/itex] and see what happens.
Jul19-12, 12:15 PM   #3
 
oh wow.....nice trick
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