Cubic equations with 2 Roots in the interval $[-1, 1]$
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929670665011200 |
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| author | Ruhland, Helmut |
| author_facet | Ruhland, Helmut |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_01827 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cubic equations with 2 Roots in the interval $[-1, 1]$ Ruhland, Helmut Numerical Analysis 12D10, 26C10 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. |
| title | Cubic equations with 2 Roots in the interval $[-1, 1]$ |
| topic | Numerical Analysis 12D10, 26C10 |
| url | https://arxiv.org/abs/2407.01827 |