The phrase "a local strict" is not correct and does not convey a clear meaning in written English.
It seems to be an incomplete or incorrect expression, and without additional context, it is difficult to determine its intended use.
Example: "The regulations in this area are a local strict, ensuring compliance with safety standards."
Alternatives: "a local regulation" or "a local rule".
The notion of a local strict minimizer reduces to the global sense if the ball (B(bar{x}, epsilon)) is replaced by the whole space (R^{n}).
A point x 0 ∈ S is a local strict minimizer of order m for (MOP) if there exists an ε > 0 and a constant c ∈ int R + p such that f ( x ) ≮ f ( x 0 ) + c ∥ x − x 0 ∥ m for all x ∈ B ( x 0, ε ) ∩ S. The notion of a local strict minimizer reduces to the global sense if the ball B ( x 0, ε ) is replaced by the whole space R n.
A point (bar{x} in X) is a local strict minimizer of order σ for (P) if there exist (epsilon> 0) and a constant (c in operatorname{int} R_^{k}) such that f(x) nless f(bar{x}) + c | x - bar{x} |^{sigma}quad mbox{for all }x in B(bar{x}, epsilon cap X.
A point x 0 ∈ S is a local strict minimizer of order m for (MOP) with respect to a nonlinear function ψ : S × S → R n, if there exists an ε > 0 and a constant c ∈ int R + p such that f ( x ) ≮ f ( x 0 ) + c ∥ ψ ( x, x 0 ) ∥ m for all x ∈ B ( x 0, ε ) ∩ S. Definition 2.4 Let m ≥ 1 be an integer.
Proof Since x 0 ∈ S is a local strict minimizer of order m with respect to ψ for (MOP), therefore there exists an ε > 0 and a constant c = ( c 1, …, c p ) ∈ int R + p such that f i ( x ) ≮ f i ( x 0 ) + c i ∥ ψ ( x, x 0 ) ∥ m, i = 1, 2, …, p, for all x ∈ B ( x 0, ε ) ∩ S. (3.1).
A point (bar{x} in X) is a local strict minimizer of order σ for (P) with respect to a nonlinear function (psi: X times X rightarrow R^{n}) if there exists a constant (c in operatorname{int} R_^{k}) such that f(x) nless f(bar{x}) + c biglVert psi x, bar{x}) bigrVert ^{sigma}quad mbox{for all }x in B(bar{x}, epsilon cap X.
The pigs were purchased from a local farm following strict health monitoring program.
He is now being educated at home via an online school because, she says, there is no place available in a local school with a less strict discipline policy.
A few years ago, Wasserman and Beck adopted their cats from a local agency that pushes a strict indoor-only policy.
In a local test, United found that stricter enforcement of carry-on limits increased on-time performance.
By Lemma 2.2, v 2 + θ ( v 2, s ) is a solution of (1.1) and a strict local point of minimum of I a, b ( u, s ).
