The phrase "a weaker minimum" is correct and usable in written English.
It can be used in contexts where you are discussing standards, thresholds, or requirements that are less stringent than usual.
Example: "The new policy sets a weaker minimum for safety regulations, which has raised concerns among industry experts."
Alternatives: "a lower threshold" or "a reduced standard".
The imposition of a weak minimum standard on domestic fridges and freezers in 1999 will, over the lifetime of the appliances already sold by December 2002, save 1 Mt C of carbon dioxide at nil cost to government or to the manufacturers, and a net benefit to consumers of £855 m: a highly cost-effective policy.
Thus, the performance index will either have one global minimum, a weak minimum, or no minimum, depending on the characteristics of the input vectors.
A feasible point is said to be a weak Pareto solution (a weakly efficient solution, a weak minimum) of (NMP) if there exists no other such that (1.9).
If a solution of (3.1) describes a convex inner free surface of a static meniscus on the interval, then it is a weak minimum for the energy functional of the melt column: (3.22).
If a solution of (2.1) describes a convex outer free surface of a static meniscus on the interval, then it is a weak minimum for the energy functional of the melt column: (2.23).
A solution of (3.1) which describes the inner free surface of a static meniscus is said to be stable if it is a weak minimum of the energy functional of the melt column.
A solution of (2.1) which describes the outer free surface of a static meniscus is said to be stable if it is a weak minimum of the energy functional of the melt column.
Since every efficient solution is a weak minimum, by applying Theorem 2.2 of Weir and Mond [14] for (x^ ), we see that there exist (gammain R^{k} ), (uin R^{m} ) such that begin{aligned}& gamma^{T} nabla fbigl(x^ bigr)+u^{T} nabla gbigl(x^ bigr)=0,qquad u^{T} gbigl(x^ bigr)=0, & uge0, qquad gammage0, qquad gamma ^{T} e=0, end{aligned} where (e=(1,1,ldots,1)in R^{k} ).
A democracy that cared for its citizens might be able to fill the gap between a weak minimum wage and middling incomes generally and the high lost of living, but that's not the country we live in.
