Solvability of equations in elementary functions
Alexey Kanel-Belov, Alexey Malistov, Rodion Zaytsev
TL;DR
This paper proves that the equation tan(x) - x = a cannot be solved using elementary functions, highlighting limitations in solving certain transcendental equations.
Contribution
It establishes the non-solvability of a specific class of equations in elementary functions, contributing to the understanding of their solvability boundaries.
Findings
The equation tan(x) - x = a is not solvable in elementary functions.
The result clarifies limitations in solving transcendental equations.
Provides insight into the structure of equations beyond elementary solutions.
Abstract
We prove that the equation is unsolvable in elementary functions
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.