General Mathematics

    

Uncertainty in Multi-layer Radical Calculations and Inaccurate Numbers

Authors: Zhi Li, Hua Li

In this paper, it is found that there is an error in the calculation of multi-layer radicals by solving a higher degree algebraic equation of one variable, and the order of power roots is higher and the number of layers of the power roots is larger, the error is bigger. The analysis shows that this phenomenon is uncertain, and hence the multi-layer radical number is defined as inaccurate numbers. The discovery and definition of inaccurate numbers after irrational and imaginary numbers enriches people's cognition of numbers. Using the experimental observation of the established mathematical models, the calculation error of the inaccurate numbers is -0.0004~5.57‰ under the model conditions.

Comments: 7 Pages.

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Submission history

[v1] 2022-01-10 09:44:30

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