View Proposal #339
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| ID | 339 |
|---|---|
| First Name | Marc |
| Last Name | Chamberland |
| Institution | Grinnell College |
| Speaker Category | faculty |
| Title of Talk | A Beautiful Cantor-like Function |
| Abstract | Analysis students encounter various functions with exotic properties. This could include functions with infinitely many discontinuities (Dirichlet function, Thomae function, windmill functions) or continuous functions which grow in a bizarre way (Cantor function, Minkowski's question mark function). After quickly reviewing these, we introduce a new function f(x) which combines enticing properties from both of these classes: a dense set of discontinuities, fractal structure, a base-3 digital representation, satisfies f(f(x))=x, and has surprising integral properties. This function makes an excellent study to conclude a first course in analysis. |
| Subject area(s) | analysis |
| Suitable for undergraduates? | Yes |
| Day Preference | FridayStrong |
| Computer Needed? | Y |
| Bringing a laptop? | Y |
| Overhead Needed? | N |
| Software requests | |
| Special Needs | |
| Date Submitted | 9/14/12 |
| Year | 2012 |