1. Therefore, the optimal language is universal up to this additive constant . 2. The moment map is uniquely defined up to an additive constant of integration. 3. The operator enters the theory as the Hamiltonian, modulo an additive constant . 4. There is no such thing as an arbitrary additive constant with density of field energy. 5. Thus, the level of envy is at most \ epsilon ( an additive constant ). 6. However the solution equal to its Newton series expansion is unique up to an additive constant C. 7. Instead of being defined up to a multiplicative constant, space is now defined up to an additive constant . 8. Re Declan : big O notation in the treatment I'm accustomed to is insensitive to additive constants . 9. The arbitrary constant has been added because entropy can usually be viewed as being defined up to an arbitrary additive constant . 10. The constant \ delta'depends on \ delta and on the multiplicative and additive constants for the quasi-isometry.