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The phrase "attain its maximum" is correct and usable in written English.
It can be used when discussing reaching the highest point or level of something, such as performance, capacity, or quantity.
Example: "The system is designed to attain its maximum efficiency under optimal conditions."
Alternatives: "reach its peak" or "achieve its highest level".
Exact(15)
It takes 24 hours for the plate to attain its maximum hardness.
The Allies' strategic air offensive against Germany began to attain its maximum effectiveness in the opening months of 1944.
Let f attain its maximum at the point L ∗ of [ 0, L ].
Let a function (fin H^{1}(0,T)) attain its maximum at a point (t_{0}in [0,T]) and (0
Hence, the feasible set of problem (Dε) is bounded and closed, which means that problem (Pε) can attain its maximum value.
In words, as in [15], the problem reduces to a power control problem except that now each SIR is assumed to attain its maximum overall receive beamformers.
Similar(45)
Thus, λ → μm,1 is an increasing function until it attains its maximum, and is a decreasing function thereafter.
Thus λ → μ is an increasing function until it attains its maximum, and is an decreasing function thereafter.
holds for i = 1, …, 4. Proof Fix i = 1, …, 4. Since ϕ ″ is continuous on [ 0, a ], it attains its maximum and minimum value on [ 0, a ].
Loosely put, for realistic systems, this implies that in the spontaneous evolution of a thermally closed system the entropy can never decrease and that it attains its maximum value for states at equilibrium.
This function is symmetric around x=0, where it attains its maximum value \scriptstyle\ 1/\sqrt{2\pi}; and has inflection points at +1 and −1.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com