Winding number and the number of real zeros of a function
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- by Lieven Smits and Willem Kuyk PDF
- Proc. Amer. Math. Soc. 114 (1992), 981-987 Request permission
Abstract:
The theorem in this paper shows that the number of real simple zeros of a function of the form $f(x) = q(x) + ax + b,x \in \mathbb {R}$, for not too wild $q(x)$ can be obtained counting the winding number of a closed plane curve about the point $(a,b)$.References
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W. Kuyk and L. Smits, On the geometries of the rational unfoldings of ${X^k}$, Acta Appl. Math. (to appear).
Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 981-987
- MSC: Primary 26C10; Secondary 12D10
- DOI: https://doi.org/10.1090/S0002-9939-1992-1054162-1
- MathSciNet review: 1054162