Cubic equations with 2 Roots in the interval $[-1, 1]$
<|reference_start|>Cubic equations with 2 Roots in the interval $[-1, 1]$: The conditions for cubic equations, to have 3 real roots and 2 of the roots lie in the closed interval $[-1, 1]$ are given. These conditions are visualized. This question arises in physics in e.g. the theory of tops.<|reference_end|>
@article{ruhland2024cubic,
    title={Cubic equations with 2 Roots in the interval $[-1, 1]$},
    author={Helmut Ruhland},
    journal={arXiv preprint arXiv:2407.01827},
    year={2024},
    archivePrefix={arXiv},
    eprint={2407.01827},
    primaryClass={math.NA cs.NA}
}