The phrase "addition the assumption of" is not correct in English.
It seems to be a mix-up of words. You might be trying to say "in addition to the assumption of," which can be used when you want to add another point or consideration related to an assumption.
Example: "In addition to the assumption of risk, we must also consider the potential benefits of the project."
Alternatives: "besides the assumption of" or "along with the assumption of".
In addition the assumption of independence between component failures events is no longer required.
In addition, the assumption of no extra activities needed to be improved.
In addition, the assumption of linear causality may act as a limiting factor when the true relationship could be nonlinear.
In addition, the assumption of uniform planar source can be justified by the planar emitting surface of the luminary.
In addition, the assumption of linear (market) responses between demand and production without thresholds in the EEIO method eases product-impact allocation to demand categories.
We didn't select [18] for comparison since the primal-dual algorithm used in [18] is not a feasible point method; in addition, the assumption of the constrains is different and system model is different, too.
In addition, the assumptions of this article are: There is at least a Nash equilibrium in the deregulated power industry.
If, in addition, the assumptions of Theorem 3.1 hold for all feasible solutions ( x, μ, w, v, s, t, y ˜, p ) of (DM1), then ( x ∗, μ ∗, w ∗, v ∗, s ∗, t ∗, y ˜ ∗, p ∗ = 0 ) is an optimal solution of (DM1).
Lemma 3 If 0 < b < + ∞ and, in addition, the assumptions of Lemma 2 and the condition (B) are satisfied, then the conclusions of Lemma 1 and Lemma 2 hold.
If, in addition, the assumptions of weak duality hold for all feasible solutions ( x, μ, w, v, s, t, y ˜, p ) of (DM2), then ( x ∗, μ ∗, w ∗, v ∗, s ∗, t ∗, y ˜ ∗, p ∗ = 0 ) is an optimal solution of (DM2).
In addition, the assumptions of the methods used to correct for measurement error, and their relative advantages and limitations will be discussed.
