Lesson plan
Pseudo-zero set
In complex analysis (a branch of mathematical analysis), the pseudo-zero set or root neighborhood of a degree-m polynomial p(z) is the set of all complex numbers that are roots of polynomials whose coefficients differ from those of p by a small amount. Namely, given a norm on the space \mathbb{C}^{m+1} of polynomial coefficients, the pseudo-zero set is the set of all zeros of all degree-m polynomials q such that (as vectors of coefficients) is less than a given ε.
Article summary
In complex analysis (a branch of mathematical analysis), the pseudo-zero set or root neighborhood of a degree-m polynomial p(z) is the set of all complex numbers that are roots of polynomials whose coefficients differ from those of p by a small amount. Namely, given a norm on the space \mathbb{C}^{m+1} of polynomial coefficients, the pseudo-zero set is the set of all zeros of all degree-m polynomials q such that (as vectors of coefficients) is less than a given ε.
Key claims
No claims recorded.
Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
Bibliography
No sources recorded.
Key claims and bibliography are generated from the same tracked claims and sources as the article page.