The phrase "achieved assumptions" is not commonly used in written English and may be unclear in meaning.
It could be used in contexts discussing the results of a process where certain assumptions were validated or confirmed.
Example: "The research project was successful because it achieved assumptions that were previously thought to be untestable."
Alternatives: "validated assumptions" or "confirmed assumptions".
Our main conclusion is that many results on diverse economic topics, achieved under assumptions of continuity and piecewise differentiability in connection with the endogenous variables of the problem, still remain valid after replacing such assumptions by two minimal requirements.
This study makes lower assumptions regarding the likely coverage that can be achieved, more optimistic assumptions about the impact of ART on life expectancy and the discounting of future DALYs averted (an sometime omitted step [ 51].
When such computations are carried out, most of the times rigid solid skeleton is considered without a comprehensive analysis of the degree of accuracy achieved with such assumptions.
Long-term monitoring programmes have shown that the design data of the solar plants can be achieved if realistic assumptions are made.
However, the developed upper bound of DMT in [16, 17] can only be achieved with some assumptions on the conditions of inter-relay channels.
Hence, it is shown that even for a single-channel noise corrupted AEC problem, the most optimum solution w ̂ n can be achieved under the assumptions stated earlier.
Although the promising results achieved under idealistic assumptions, partial UE data sharing has not found application in real systems mainly due to its complexity.
Results show that achieving the theoretical double throughput gain that FD promises can only be achieved under specific assumptions, namely ideal self-interference cancellation, isolated cells, and full buffer traffic model.
It is shown that the overall stability of a teleoperator system can be achieved under mild assumptions on subsystem stability, properties of the communication channel, dynamics of the human operator, and the human force measurement/estimation process.
Model-based predictive control approaches can be successfully applied to the trajectory tracking of wheeled mobile-robot applications if the process nonlinearity is considered, if real-time performance is achieved and if assumptions made in the control-law design are met when applied to a particular process.
