The phrase "and cannot be improved" is correct and usable in written English.
It can be used to indicate that something is already at its best state or that no further enhancements are possible.
Example: "The design of the product is perfect as it stands, and cannot be improved."
Alternatives: "and is beyond enhancement" or "and is optimal as is."
Serious impairment of hearing at birth almost always results from a dysfunction of the auditory nerve and cannot be improved by medical or surgical treatment.
How do you know that a piece is ready to be published, and cannot be improved further? — Merial W I know that a piece is ready to be published when all my facts are straight, it makes an interesting read, I'm confident that I'm informing readers and that my reporting and writing are fair and balanced.
In this case, the entropy is given by.25 log2(1/.25) +.25 log2(1/.25) +.25 log2(1/.25) +.25 log2(1/.25), which is equal to 4 ×.25 × 2 = 2. Recall that the average length for the first encoding is also 2; hence, this encoding is optimal and cannot be improved.
In this paper, we prove that, and for all, and the constants, and cannot be improved for the corresponding inequalities.
This antenna has a standard of 2 dB gain and cannot be improved due to the absence of a connector to an external antenna.
The gray-box modeling technique is very valuable whenever a knowledge-based model exists, but is not fully satisfactory and cannot be improved by further analysis (or can only be improved at a very large computational cost).
Distinguish between what can be improved and what cannot be improved in terms of health, functional limitations and mobility.
For example, if we set uniform meshes with (n+1) grid points and apply the spline method of order m, then the convergence rate is only (O(n^{-2P})) at most (see [4, 12]), and it cannot be improved by increasing m.
It is the between-animal variability that is important, and this cannot be improved by making many measurements (e.g., in many cells) in a few animals.
For high TM-scores the performances converge, as due to the high similarities the alignment models often are already the best models possible and, thus, cannot be improved via rescoring.
That is, an entity theory may lead to the conclusion that one's own social labels and difficulties cannot be improved, inducing hopelessness (e.g., Heyman, Dweck, & Cain, 1992).
