Sentence examples similar to any defined compact set from inspiring English sources

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The population-based PAMPER birth record database contains historical high-quality birth data in a defined compact geographical setting over a 32 year period during which there have been significant changes in obstetric and neonatal services.

Using the defined compact set in the stability analysis, some unknown nonlinear continuous functions are dealt with effectively.

Using the defined compact set in the stability analysis, the unknown smooth interconnections and black box functions are effectively dealt with.

By adding the normalization signal to the whole Lyapunov function and using the defined compact set in stability analysis, all the signals in the closed-loop system are proved to be semi-globally uniformly ultimately bounded (SGUUB), and output constraint is not violated.

In this paper, we prove the existence results of solutions for a new class of generalized quasi-variational-like inequalities (GQVLI) for pseudo-monotone type II operators defined on compact sets in locally convex Hausdorff topological vector spaces.

In this paper, we obtain some general theorems on solutions for a new class of generalized quasi-variational-like inequalities for pseudo-monotone type II operators defined on compact sets in topological vector spaces.

Furthermore, we performed data decay analysis to define compact attribute sets that maintain informativeness.

Since any compact sets will do, we define them all in terms of an arbitrarily small scalar, (check {omega } in (0, 0.5)).

uniformly on any compact sets of R N as t → ∞.

(f x,x geqslant0) for any ((x,x in Ctimes C); the set-valued mapping (Phi: Crightarrow2^{C}) defined by setting Phi(x)=bigl{ yin C: f x,y)< 0 bigr} is upper ≽-preserving and compact-valued.

(x nsucc Csetminus E) for any (xin E).   (iii) The set-valued mapping (Phi: Crightarrow2^{C}) defined by setting Phi(x)=bigl{ yin T x): f x,y)< 0 bigr} is upper ≽-preserving and compact-valued.

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