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- W4320076948 abstract "Constructive mathematics is simply a mathematical process of computational procedures. Constructive Mathematical Analysis is the incarnation of constructive mathematics. Constructive Analysis is according to constructive logic where the computation is built-in. Therefore, it is only based on the part of principles of classical analysis and constructive mathematics. In this paper, I apply constructive mathematical analysis to prove that there could not be an algorithm that always chooses the optimal investment from a few given options in constructive mathematical economics. The main tools are constructive real number, constructive function, and the existence of partially defined unextendible algorithms. Applying the definition of the constructive real number and the algorithm can express the profits of the companies. Comparing the profit among different companies based on the output of the algorithm cannot show the optimal solution for investment. Eventually, I use the limitation of the inextendible algorithm to prove the non-existence of the algorithm." @default.
- W4320076948 created "2023-02-12" @default.
- W4320076948 creator A5012458761 @default.
- W4320076948 date "2022-03-26" @default.
- W4320076948 modified "2023-09-27" @default.
- W4320076948 title "Non-existence of the Algorithm that can Obtain the Optimal Solution for a Few Given Options of Investment in Constructive Mathematics" @default.
- W4320076948 doi "https://doi.org/10.1109/isec54952.2022.10025208" @default.
- W4320076948 hasPublicationYear "2022" @default.
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