Neglecting High-Order Terms in R: Tips & Tricks

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The discussion focuses on improving the phrasing of the statement regarding neglected high-order terms in mathematical notation. A suggestion is made to simplify the expression to "terms of order o(R^{-1}) are neglected," which clarifies the accepted terms. It is noted that if Y is greater than 1, only zero and first-order terms are considered, aligning with O(1) approximations. The conversation emphasizes the importance of clarity in mathematical expressions. Overall, the goal is to enhance the readability and precision of the notation used in the context of high-order terms.
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Hi,

Is there a better way to write this?

'terms of order O(R^{-Y}) where Y>1 are neglected'

I feel like this is a bit clumsy.

Thanks for the help!
 
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Yeah that's correct, if I am understanding little 'o' notation correctly I believe it's equivalent to write:

'terms of order o(R^{-1}) are neglected'
 
It is simpler to write it in terms of what orders you will accept.
Note, you wanted Y>1, so Y=1 (order -1) was accepted.

Take terms in (1/R) to 1st order.
 
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