The phrase "achieved we considered" is not correct and does not make sense in written English.
It seems to be an attempt to convey a thought about something that was achieved and considered, but the structure is awkward and unclear.
Example: "The results we achieved were considered significant by the committee."
Alternatives: "we deemed achieved" or "we regarded as achieved".
Lemma 2.1 Λ > 0 defined by (1.6) achieves by some φ Λ ∈ E with ∫ R N φ Λ 4 d x = 1 and φ Λ > 0 a.e. in R N. Proof By the Sobolev embedding theorem, one has Λ > 0. In order to prove that the infimum is achieved, we consider a minimizing sequence { u n } ⊂ E such that ∥ u n ∥ 4 = 1, ∥ u n ∥ E 2 → Λ, n → ∞.
While the primary endpoint was not achieved, we consider that the results are helpful to identify the patient population in which edaravone could be expected to show efficacy.
Though prolonged interruption of OnabotA is difficult to achieve, we consider that discontinuation of acute medication overuse and oral preventive therapy as well as reduction of frequency of procedures are realistic goals in real-life long-term using of OnabotA in CM patients.
With the mapping achieved, we further consider the application scheduling problem, which aims to find the optimal voltage level for each task of the application and optimal frequency level for each communication of the application to minimize the overall system energy consumption, given the application deadline.
Other requirements such as mutual key confirmation could only be achieved if we considered the protocol pre-assumptions of a secure transfer of the security context from the previous AS.
If the applicable drug concentration threshold was not achieved, then we considered the participant to have misreported her adherence (i.e., the probability of misreport for a particular measure equals 1 minus the PPV of the measure).
To achieve this, we considered several possible designs and individual components.
To achieve this, we considered the same experiment setups discussed in Sections 5.1 and 5.2.
To achieve this, we considered the use of a soft-state approach where the transmitter must update all reservations performed in the relay nodes.
