Abstract
If f(x) is real-valued and continuous, it has the property that it takes on all intermediate values when it passes from one value to another. This means that whenever f(x1) and f(x2) are different and u is any number between them, then f(x) = u for at least one x between x1 and x2. We shall call this the Darboux property.
Publisher
Canadian Mathematical Society
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. On the Roughly Continuous Real Functions;Rough Sets;2019
2. Beurling slow and regular variation;Transactions of the London Mathematical Society;2014
3. Connectedness properties of special subsets of the plane;Topology and its Applications;2002-01
4. Derivatives;The American Mathematical Monthly;1966-04
5. Sur les dérivées dont les zéros forment un ensemble frontière partout dense;Rendiconti del Circolo Matematico di Palermo;1963-01