The phrase "achieved at some point" is correct and usable in written English.
It can be used to indicate that something was accomplished or reached during a specific time in the past, without specifying exactly when.
Example: "The goals we set for the project were achieved at some point, leading to a successful outcome."
Alternatives: "reached at a certain time" or "attained at some stage".
In Before I Die, he lists the things he wants to achieve – "at some point, I wanna give up the weed, have a kid and be the dad to my son my father never was to me" – and explains that "I want to get my teeth fixed, to make me more handsome", which appears to be exactly what he did by the time he got round to I Need You Tonight.
I had been putting in tremendous effort thinking that at some vague point in the future, there would be a reward or payoff from all this achieving - at some point I'd get to rest and be happy.
By (36), Lemma 5, Lemma 6, and Ekeland's variational principle, (c_{1}) can be achieved at some inner point (u_{1}inoverline{B}(0,rho)) and (u_{1}) is a critical point of (I_{mu}) at negative energy.
We believe that failure to achieve goals is inevitable in stroke rehabilitation, because neither patients nor health professionals can foresee some of the factors that may render goals unachievable or predict with absolute accuracy what goals can be achieved at some future point.
"No breakthrough has been achieved at this point," Kenichiro Sasae, the chief Japanese representative, told reporters.
That represented yet another record: the lowest score in relation to par that anybody has achieved at any point during the Masters.
Assume and hold, then the minimization problem is achieved at a point which is a critical point for.
Since an acceptable signaling cost is achieved at this point (see Figure8), B 2_2=−98 dBm is selected in this work.
Therefore, the strategies chosen by different SUs depend on each other and an equilibrium between SUs' utility and the PU's revenue is achieved at NE point.
