arXiv Analytics

Sign in

arXiv:2407.01827 [math.NA]AbstractReferencesReviewsResources

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

Helmut Ruhland

Published 2024-07-01Version 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.

Comments: 9 pages
Categories: math.NA, cs.NA
Subjects: 12D10, 26C10
Related articles: Most relevant | Search more
arXiv:2006.06748 [math.NA] (Published 2020-06-11)
Curvature of planar aesthetic curves
arXiv:2004.02722 [math.NA] (Published 2020-04-06)
Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers
arXiv:1501.07321 [math.NA] (Published 2015-01-29)
Scalable Probabilistic Frames