The Frontiers and Future Landscape of Research and Education on Value Rationality in Contemporary China

The importance of conducting in-depth research and education on value rationality in the new era is increasingly recognized.Therefore,it is essential to systematically grasp the themes,frontiers,and trends of research in this field,organizing the knowledge system to provide references for future studies.This necessitates clarifying the research achievements of scholars from different disciplines and institutions.Using the CiteSpace visualization analysis method,we can analyze,summarize,and synthesize research networks,hotspots,and knowledge structures,thereby forming a direction for advancing research.Through literature review methods and knowledge graph software analysis,it is believed that value rationality and instrumental rationality represent the rational attitudes individuals adopt when contemplating issues and putting them into practice.They are merely methods and should not be subjected to excessive value judgments.The relationship between value rationality and instrumental rationality is a focal point of societal concern,involving complex interdisciplinary issues with significant theoretical value and practical implications.In the future,the academic community needs to strengthen research collaboration,enhance the expansion of value rationality in various social practice fields,and conduct empirical studies to build consensus for the construction of Chinese society.

Analysis on Value Rationality of Traditional Farm Tools in the Taomin Area

This paper introduces the types of traditional farm tools,and analyzes the value rationality of these traditional farm tools:on the one hand,these farm tools have witnessed the farming culture,and they are also a manifestation of local culture in the Taomin area,representing the cultural characteristics and civilization progress of this area.

The value rationality and tool rationality of Health Priority

Health Priority is increasingly becoming a human need and an international consensus.In addition to the basic value judgment and direction-leading function,Health Priority also has a clear,practical meaning and distinct tool attributes.The text adheres to the organic unity of regularity and purpose,follows the modern medical model and the philosophy of system theory,combines the characteristic facts,and discusses the value rationality and tool rationality of Health Priority based on the whole process management,and tries to refine the Health Priority governance model with Chinese characteristics,so as to provide a reference for global health governance.

Werner-Type Matrix Valued Rational Interpolation and Its Recurrence Algorithms

In this paper, a practical Werner-type continued fraction method for solving matrix valued rational interpolation problem is provided by using a generalized inverse of matrices. In order to reduce the continued fraction form to rational function form of the interpolants, an efficient forward recurrence algorithm is obtained.

PROBLEMS AND METHODS IN MATRIX VALUED RATIONAL INTERPOLATION

A variety of matrix rational interpolation problems include the partial realizationproblem for matrix power series and the minimal rational interpolation problem for generalmatrix functions.Several problems in circuit theory and digital filter design can also be re-duced to the solution of matrix rational interpolation problems[1—4].By means of thereachability and the observability indices of defined pairs of matrices,Antoulas,Ball,Kang and Willems solved the minimal matrix rational interpolation problem in[1].On

Two Dual Expansions for Generalized Bivariate Thiele-Type Matrix Valued Interpolating Continued Fractions

A new method for the construction of bivariate matrix valued rational interpolants on a rectangulargrid is introduced. The rational interpolants are expressed in the continued fraction form with scalardenominator. Tile matrix quotients are based oil the generalized inverse for a matrix, Which is found to beeffective in continued fraction interpolation. In this paper, tWo dual expansions for bivariate matrix valuedThiele-type interpolating continued fractions are presented, then, tWo dual rational interpolants are definedout of them.

A New Method of Constructing Bivariate Vector Valued Rational Interpolation Function

At present, the methods of constructing vector valued rational interpolation function in rectangular mesh are mainly presented by means of the branched continued fractions. In order to get vector valued rational interpolation function with lower degree and better approximation effect, the paper divides rectangular mesh into pieces by choosing nonnegative integer parameters d1 （0 〈 dl ≤ m） and d2 （0 ≤ d2≤ n）, builds bivariate polynomial vector interpolation for each piece, then combines with them properly. As compared with previous methods, the new method given by this paper is easy to compute and the degree for the interpolants is lower.