The phrase "a sufficient criterion for" is a correct and usable phrase in written English.
It is often used to signify that one factor or condition is necessary to achieve a specific goal. For example: "Having a valid driver's license is a sufficient criterion for being able to rent a car."
Victimhood is not a sufficient criterion for being president.
An essential requirement in this context is a sufficient criterion for crack nucleation.
However, symmetry alone is not a sufficient criterion for design of a facial prosthesis.
A positive definite second variation of the total energy is used as a sufficient criterion for stability of equilibrium configurations.
We furthermore derive a sufficient criterion for (one step) parameter identifiability, i.e. when a point estimate for a parameter can be guaranteed for all possible measurements.
(Merely being taught in French is not, on its own, a sufficient criterion for a course taken abroad to count for the French major). The minimum grade for a course to be applied to the French major is B-.
These results highlight that molecules involved in cancer cell resistance to cytotoxic T lymphocytes by themselves are not a sufficient criteria for prognosis determination in cancer patients.
This result suggests that relative humidity is a necessary metric for models to perform accurately, Dr. Trenberth said, but not a sufficient criterion in itself for predicting the degree of future change.
By utilizing the Lyapunov functional method, Jensen's inequality, Wirtinger's inequality and lower bounds theorem, we establish a sufficient criterion such that, for all admissible parameter uncertainties, the complex dynamical network is robustly synchronized.
In addition, a sufficient criterion is established for the asymptotical stability at large of the disease-free equilibrium of (1.3).
We use this to prove a necessary and sufficient criterion for a C*-algebra B to be a C*-quotient-algebra of a C*-subalgebra of a C*-algebra A. The latter criterion will be applied in the situation where A equals the CAR-algebra in some forthcoming papers (cf. Section 6 for more details).
