In mathematical notation, this implies that "Terms O(d^3) will always be small compared to terms O(d^2) and O(d) for sufficiently small d". What's "sufficiently small" has to be determined on a case to case basis, but once you have checked that, it means "we know that there are more terms, but we can neglect them because they are O(d^3) and d is small".

  Herbert

bipul rakshit wrote:
Respected Sushil Auluck,
Thanks for your kind reply. As you said that the term means of order delta cube. But I just want to know the equation of that term. Means how that order delta cube, mathematically looks like. I asked this because, using that equation, I have to find the elastic constants.
regards

Bipul Rakshit
PhD in Physics
Computational Research Lab.
Barkatullah University,
Bhopal 462 026, India
Mob.: +919713445650

--- On *Mon, 13/7/09, Sushil Auluck /<[email protected]>/* wrote:


    From: Sushil Auluck <[email protected]>
    Subject: Re: [SIESTA-L] question about elastic constant
    To: [email protected]
    Date: Monday, 13 July, 2009, 9:48 PM

    hi,
    that means terms of order delta cubed (delta**3)......
    s.auluck

     > Dear  Siesta Users,
     > I have read the paper
     > "S. Q. Wang, H. Q. Ye, J. Phys.: Condens. Matter 15 (2003) p. 5307."
> Â > Most of the thing is clear to me, except in Equation (7) what is
    "O(δ^3)"
     > ? What does 'O' here.
     >
     >
     > Please guide me for the same.
     >
     >
     > Bipul Rakshit
     >
     > PhD in Physics
     >
     > Computational Research Lab.
     >
     > Barkatullah University,
     >
     > Bhopal 462 026, India
     >
     > Mob.: +919713445650
     >
     >
     >       See the Web's breaking stories, chosen by people like you.
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