It is well known that the study of the shape and the properties of the production possibility frontier is a subject of great interest in economic analysis. Vîlcu (Vîlcu, 2011) proved that the generalized Cobb-Douglas production function has constant return to scale if and only if the corresponding hypersurface is developable. Later on, the authors A. D. Vîlcu and G. E. Vîlcu, 2011 extended this result to the case of CES production function. Both results establish an interesting link between some fundamental notions in the theory of production functions and the differential geometry of hypersurfaces in Euclidean spaces. In this paper, we give some characterizations of minimal generalized Cobb-Douglas and CES production hypersurfaces in Euclidean spaces.
In this paper, we give a simple geometric characterization of homogeneous
production functions, by studying geometric properties of their associated
graph hypersurfaces. For a homogeneous production function, we prove that
its corresponding hypersurface with constant sectional curvature must be
flat. Therefore, by combining this with Chen and V?lcu?s recent results, we
obtain a new geometric characterization of homogeneous production functions
having constant return to scale.
Historically, the minimality of surfaces is extremely important in mathematics, and the study of minimal surfaces is a central problem, which has been widely concerned by mathematicians. Meanwhile, the study of the shape and the properties of the production models is a great interest subject in economic analysis. The aim of this paper is to study the minimality of quasi‐sum production functions as graphs in a Euclidean space. We obtain minimal characterizations of quasi‐sum production functions with two or three factors as hypersurfaces in Euclidean spaces. As a result, our results also give a classification of minimal quasi‐sum hypersurfaces in dimensions two and three.
Abstract. This paper introduces the reform of talent cultivation mode in Bohai University, which including divide students into research orientation and practice orientation, implement complete credit system, separate teaching and examination, implement excellent talent training program, implement ISEC program, implement centralized internship and social practice, promote order training through university-enterprise cooperation, establish public experimental platform, carry out innovation and entrepreneurship education, and encourage students to declare innovative and entrepreneurship training projects. Introduce the employment service guidance system of Bohai University, such as implement full employment guidance services, implement full employment information service, and provide adequate funding and personnel protection, help poor family students, support students to start their own businesses, analysis and evaluation graduates' employment. Finally, analyzes the employment situation of Bohai University graduates and the evaluation from employer. Bohai University graduates are mostly employed in private enterprises, the salary satisfaction of graduates basically showed a normal distribution, most graduates are feeling all right, and employer's comprehensive evaluation of graduates has improved.
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