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?