Why This Matters
This breakthrough in mathematical minimalism demonstrates that all elementary functions can be derived from a single function and a constant, potentially simplifying computational models and foundational mathematics. For the tech industry, this could lead to more efficient algorithms and a deeper understanding of computational complexity, impacting fields from software development to artificial intelligence.
Key Takeaways
- All elementary functions can be generated from a single function and a constant.
- This approach simplifies the foundational basis of mathematics and computation.
- Potential for more efficient algorithms in software and AI development.
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 elm 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.
Related posts
GoKawiil