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MATHEMATICAL ECONOMICS——AN INTERSCIENCE CROSSBREED OF MATHEMATICS & ECONOMICS
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作者 Wang Yuyun(Institute of Systems Science, CAS) 《Bulletin of the Chinese Academy of Sciences》 1996年第1期9-17,共9页
Mathematical economics is a newly emerging research field resulting from the academic crossbreeding of mathematics and economics. It is a brainchild emerging from the marriage between natural sciences and social scien... Mathematical economics is a newly emerging research field resulting from the academic crossbreeding of mathematics and economics. It is a brainchild emerging from the marriage between natural sciences and social sciences. This article gives a detailed exposition of the discipline’s history, its integration with our country’s socialist market economy and its modem development. The article ultimately explains its application to the comprehensive reclamation of the salinity-plagued agriculture on the Huanghuaihai Plain. 展开更多
关键词 AN INTERSCIENCE CROSSBREED OF MATHEMATICS economics mathematical economics
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Riemann Hypothesis, Catholic Information and Potential of Events with New Techniques for Financial and Other Applications
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作者 Prodromos Char. Papadopoulos 《Advances in Pure Mathematics》 2021年第5期524-572,共49页
In this research we are going to define two new concepts: a) “The Potential of Events” (EP) and b) “The Catholic Information” (CI). The term CI derives from the ancient Greek language and declares all the Catholic... In this research we are going to define two new concepts: a) “The Potential of Events” (EP) and b) “The Catholic Information” (CI). The term CI derives from the ancient Greek language and declares all the Catholic (general) Logical Propositions (<img src="Edit_5f13a4a5-abc6-4bc5-9e4c-4ff981627b2a.png" width="33" height="21" alt="" />) which will true for every element of a set A. We will study the Riemann Hypothesis in two stages: a) By using the EP we will prove that the distribution of events e (even) and o (odd) of Square Free Numbers (SFN) on the axis Ax(N) of naturals is Heads-Tails (H-T) type. b) By using the CI we will explain the way that the distribution of prime numbers can be correlated with the non-trivial zeros of the function <em>ζ</em>(<em>s</em>) of Riemann. The Introduction and the Chapter 2 are necessary for understanding the solution. In the Chapter 3 we will present a simple method of forecasting in many very useful applications (e.g. financial, technological, medical, social, etc) developing a generalization of this new, proven here, theory which we finally apply to the solution of RH. The following Introduction as well the Results with the Discussion at the end shed light about the possibility of the proof of all the above. The article consists of 9 chapters that are numbered by 1, 2, …, 9. 展开更多
关键词 Twin Problem Twin’s Problem Unsolved mathematical Problems Prime Number Problems Millennium Problems Riemann Hypothesis Riemann’s Hypothesis Number Theory Information Theory Probabilities Statistics Management Financial Applications Arithmetical Analysis Optimization Theory Stock Exchange Mathematics Approximation Methods Manifolds Economical Mathematics Random Variables Space of Events Strategy Games Probability Density Stock Market Technical Analysis Forecasting
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