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 e.g. the theory of tops.

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Publication Details

Journal
Computer Tools in Education
Published
2024-08-20
DOI
https://doi.org/10.32603/2071-2340-2024-2-30-38
Primary Topic
advanced mathematical theories
Type
article
Field-Weighted Citation Impact
0.00
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article

Cubic equations with 2 Roots in the interval [-1, 1]

Helmut Ruhland
Computer Tools in Education
advanced mathematical theories
article

Cubic equations with 2 Roots in the interval [-1, 1]

Helmut Ruhland
article en

Abstract

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 e.g. the theory of tops.

Computer Tools in Education(2)
University of Havana (CU)
Openalex Percentile: Top 59%
advanced mathematical theories
DOIOpen Access PDFOpenAlex
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Cubic equations with 2 Roots in the interval [-1, 1] — Helmut Ruhland · Computer Tools in Education (2024) | TGRS Research Map | TGRS