|
Nowhere Monotonic Continuous Function

Library Home ||
Full Table of Contents ||
Suggest a Link ||
Library Help

| http://www.apronus.com/math/nomonotonic.htm | |
|
|
|
| Michal Wojcik | |
| Proof of the existence of a continuous function f:[0,1]->|R that is neither increasing nor decreasing on any subinterval of [0,1]. This proof uses the Baire Category Theorem. | |
|
|
|
| Levels: | College |
| Languages: | English |
| Resource Types: | Publications |
| Math Topics: | Calculus (Single Variable) |
[Privacy Policy] [Terms of Use]


© 1994-2013 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Drexel University School of Education.