The phrase "a lower minimal" is not correct in standard written English.
It seems to be an attempt to describe a minimum that is lower than something else, but the phrasing is awkward and unclear.
Example: "The project requires a lower minimal investment than initially expected."
Alternatives: "a reduced minimum" or "a lesser minimum".
(Ainmathcal{A}) is named a lower minimal of (mathcal {A}), if for each (Binmathcal{A}) such that (Bleqslant^{mathrm{l}} A), it satisfies (Aleqslant^{mathrm{l}} B); (Ainmathcal{A}) is called a lower weak minimal of (mathcal{A}), if for each (Binmathcal{A}) such that (B< ^{mathrm{lw}} A), it satisfies (A< ^{mathrm{lw}} B).
Let (mathcal{A}) be a family of subsets of Y. (1) (Ainmathcal{A}) is named a lower minimal of (mathcal {A}), if for each (Binmathcal{A}) such that (Bleqslant^{mathrm{l}} A), it satisfies (Aleqslant^{mathrm{l}} B); (2) (Ainmathcal{A}) is called a lower weak minimal of (mathcal{A}), if for each (Binmathcal{A}) such that (B< ^{mathrm{lw}} A), it satisfies (A< ^{mathrm{lw}} B). .
Patients preferred VBT at a lower minimal benefit than clinicians.
Furthermore, irradiated patients and radiation oncologists preferred VBT at a lower minimal benefit than, respectively, non-irradiated patients and gynaecologists.
Notably, S. pneumoniae has been shown to have a lower minimal inhibitory concentration (MIC) to penicillin than other streptococci (e.g. S. pyogenes), though the clinical impact is questionable and depends on the breakpoint used.
Specifically, lesions from patients with type 2 diabetes are recognized to have a lower minimal thickness of the fibrous cap which overlies a lesion's necrotic lipid core [ 4- 6].
A number of criterions are used for evaluating whether a small RNA is a genuine miRNA, such as formation of a stable hairpin structure, starting with a 5' uridine, lower minimal free energies (MFEs) for hairpin structure of its precursors, and detection of miRNA*s [ 44, 45].
Nonetheless, it had a high parameter count (Table 1), a high test AUC (0.976), and an even lower minimal training presence (0.003).
Using these findings and conducting a logistic regression (Fig. 1E), an odds ratio of 1.7 (P < 0.001) for the 5-year survival was estimated, indicating that a one log10-scale lower minimal NPM1 value within 9 months post treatment start nearly doubles the chance of surviving 5 years.
Let (F bar{x})) be a lower weak minimal of (SP).
We say that (F bar{x})) is a lower weak minimal of (SP) instead of (mathcal{F}).
