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Math Help - Unknown Term

  1. #1
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    Unknown Term

    Hi All,

    Could somebody please tell me what this means please?

    O(1) terms

    Are they the terms in the equation with order one?
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  2. #2
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    Quote Originally Posted by davefulton View Post
    Hi All,

    Could somebody please tell me what this means please?

    O(1) terms

    Are they the terms in the equation with order one?

    It'd be interesting, and perhaps important, to know in what context is this posed, but I think it could mean "there's a bounded number of terms", because a function that is O(1) in some interval means it is bounded there.

    Tonio
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  3. #3
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    Hi tonio,

    It is with reference to the Euler equations. I have made the Euler equations dimensionless by substituting into the equations scaled variables and dividing by an acceleration term. I now have to expand all the trigonometric terms about a point and equate all of the O(1) terms to the scaled variable terms. I just don't understand what O(1) is. I know that for

    5x^3 + 3x^2 + 2x

    O(x^3) is the 3x^3 term. It is the upper bound. But what does that mean for O(1)

    That it is the upperbound on the constant terms?
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