Differentiation of a vektorfield

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Discussion Overview

The discussion revolves around the differentiation of a vector field in the context of general relativity, focusing on the notation and terms used in the expressions presented by the participants. The scope includes theoretical aspects and notation clarification.

Discussion Character

  • Technical explanation, Conceptual clarification

Main Points Raised

  • One participant expresses confusion regarding a specific term in an expression related to differentiation, indicating uncertainty about its meaning.
  • Another participant requests clarification on the notations used, suggesting that a better understanding of the symbols is necessary for the discussion.
  • A participant clarifies that 'a' and 'b' are abstract indices, while 'i', 'j', 'm', and 'k' refer to components with respect to a basis, indicating a distinction between different types of indices.
  • There is a question about the meaning of \partial_{a} and whether 'x' refers to a vector, highlighting a need for further explanation of the notation.

Areas of Agreement / Disagreement

Participants do not appear to have reached a consensus, as there are ongoing requests for clarification and understanding of the notation and terms used.

Contextual Notes

There are limitations in understanding due to the notation used, and the discussion does not resolve the meaning of certain terms or expressions.

klabautermann
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hi!

i flipped through my notes on a class on general relativity this morning and i found an expression which doesn't make sense to me. I am not sure if don't understand the last term in the last equality or it just dosn't make sense. i would appreciate your oppinion.
a,b are abstract indicies. everything else are coordinate indicies.
 

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You should explain your notations...
 
of course. as i said, a and b are abstract indicies, i,j,m,k are components with respect to a basis. bared and not bared components and differential operators correspond to different coordinate systems.
 
Ok but what are [itex]\partial<sub>a</sub>[/itex], the quotation? x is a vector?
 
[itex]\partial_{a}[/itex]
 

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