The phrase "a maximum achieved" is correct and usable in written English.
It can be used in contexts where you want to indicate that the highest possible level or limit has been reached in a particular situation or measurement.
Example: "After several trials, we found that a maximum achieved in performance was recorded at 95% efficiency."
Alternatives: "a peak reached" or "a limit attained".
If this supremum is actually a maximum achieved under some equivalent renorming of X, then its modulus of convexity is the best possible in asymptotic sense.
Extrapolation to a zero diameter yielded an ultimate tensile strength of 2.4±0.1 GPa for a fiber having a maximum achieved tensile modulus of 35±1 GPa.
While 16:0 LPC induced very rapid and transient phosphorylation with a maximum after 30 min of incubation (Fig. 3C), 20 4 LPC promoted a sustained, long lasting phosphorylation of p38 MAPK with a maximum achieved after 3 h (Fig. 3D).
The result of one complete trial is therefore a "local maximum" of information (i.e., a maximum achieved by a heuristic path) for an aligned set of 12-bp windows; this local maximum is referred to as a "motif" (a new 12-bp logo or frequency matrix derived from the alignment of the final resting position of the ten windows).
For both variables such a maximum is achieved whenA orB reach values close to 1.
A key property is that convergence to a maximum is achieved even if (13) is not solved exactly: It suffices that ĉℓ is such that Q(ĉℓ|ĉℓ−1)≥ Q(ĉℓ−1|ĉℓ−1), which is easily achieved even by a local optimization algorithm.
The rate acceleration is observed in this case as well; however, a maximum is achieved at ∼40% water.
Across all OAD classes, an increase in dose yielded a further decrease in A1C initially with a maximum effect achieved by 3 6 months.
Each experiment was conducted until equilibrium was established and a maximum CO2 loading achieved.
Patients received therapy until a maximum response was achieved (range, 4 to 27 months), unless tumor progression was observed during a twice-monthly radiological and clinical assessment.
Stimulation frequencies above 50 Hz caused a significant relief of the three symptoms, where a maximum benefit was achieved at 185 Hz.
