The phrase "mentioned assumptions" is correct and usable in written English.
You can use it to refer to any assumptions or suppositions that have been discussed in the past. For example, "When we were discussing the project proposal, we mentioned several assumptions about the budget and timeline that should be kept in mind."
Under the mentioned assumptions, one can prove the following theorem.
Finally, using the mentioned assumptions, the soft estimate of (13) can be derived as (16).
Formulations are verified by conducting analogous modal measurements and by comparing predictions with those obtained using the Rayleigh Ritz method (without making any of the above mentioned assumptions).
Suppose we have (varvec{y}_{t}) = (varvec{mu}_{t} + varvec{e}_{t}) with the mentioned assumptions, we have (a^_{i,t}) which is defined in Eq. (14).
It should be noted that there are no articles that have considered both of the mentioned assumptions, partial backordering, presence of defective items and inspection.
Results show, that the proposed model has the ability to estimate reliability when the mentioned assumptions are violated and uncertainty is implicit; so that the classical models are unreliable.
Salameh and Jaber (2000) are the first researchers that considered mentioned assumption and provided the inventory model according to it.
For example, postal services companies in all over the worlds have the same condition as the mentioned assumption.
The mentioned assumption can be somewhat conservative and uneconomic to design the columns, especially in lower stories.
Moreover, under the mentioned assumption on the zero excess bandwidth waveform g(t), the statistics of the (white Gaussian) noise terms are unchanged by interpolation.
As G number of facilities can be built in each period, Constraint (8) represents an equilibrium limit to establish the mentioned assumption.
