The radius of robust feasibility of a convex program with uncertain constraints gives a value for the maximal 'size' of an uncertainty set under which robust feasibility can be guaranteed. This paper provides an upper bound for the radius for convex programs with uncertain convex polynomial constraints and exact formulas for convex programs with SOS-convex polynomial constraints (or convex quadratic constraints) under affine data uncertainty. These exact formulas allow the radius to be computed by commonly available software.

We study some classes of generalized convex functions, using a generalized di¤erential approach. By this we mean a set-valued mapping which stands either for a derivative, a subdi¤erential or a pseudodi¤erential in the sense of Jeyakumar and Luc. We establish some links between the corresponding classes of pseudoconvex, quasiconvex and another class of generalized convex functions we introduced. We devise some optimality conditions for constrained optimization problems. In particular, we get Lagrange-KuhnTucker multipliers for mathematical programming problems.

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We study some classes of generalized a¢ ne functions, using a generalized di¤erential. We study some properties and characterizations of these classes and we devise some characterizations of solution sets of optimization problems involving such functions or functions of related classes.

Background/Objectives: The purpose of the study is to find out the factors affecting student readiness for education 4.0. Methods/Statistical analysis: Based on 361 samples, this quantitative research was conducted: reliability testing, exploratory factor analysis, correlation coefficients and linear regression. The result shows that there are four key factors affecting readiness including Self-regulation, Creativity, Upgrade and Attitude. Findings: The result of t-test shows that the group of students who had experienced online learning had higher readiness for the education 4.0 than the others. Improvements/Applications: The advantages that students realize when being involved in the 4.0 education system will help them greatly improve their skills and knowledge.