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数学极简主义:用函数和常数 1 构建全部初等函数Mathematical minimalism
Andrzej Odrzywolek 在 arXiv 发表论文证明,仅需基本指数函数(eml)和常数 1,即可推导出加法、减法、乘法和除法等全部初等运算。该成果挑战了传统认为需要多个基础函数才能构建数学体系的理念,展示了数学基础的简洁性。
John
Andrzej Odrzywolek recently posted an article on arXiv showing that you can obtain all the elementary functions from just the function
and the constant 1. The following equations, taken from the paper’s supplement, show how to bootstrap addition, subtraction, multiplication, and division from the eml function.
See the paper and supplement for how to obtain constants like π and functions like square and square root, as well as the standard circular and hyperbolic functions.
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