View Proposal #125
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| ID | 125 |
|---|---|
| First Name | Michael |
| Last Name | Rieck |
| Institution | Drake University |
| Speaker Category | faculty |
| Title of Talk | A Multiple Integral of a Piecewise Algebraic Function. |
| Abstract | Fix r>0. Let (x_0, y_0) and (x_n, y_n) be fixed and a distance r apart. Consider the set of all points ( x_1, y_1, x_2, y_2,..., x_{n-1}, y_{n-1} ) in Euclidean (2n-2)-space for which the distance in the plane between (x_{j-1}, y_{j-1}) and (x_j, y_j) never exceeds one (j=1,...,n). The hyper-volume of this set of points in (2n-2)-space can clearly be expressed as a multiple integral, integrating over 2n-2 dimensions, a function that is 1 on the set, but 0 off of the set. Surprisingly, it can also be expressed as a multiple integral over n-1 dimensions, of a piece-wise algebraic function. |
| Subject area(s) | special functions |
| Suitable for undergraduates? | Yes |
| Day Preference | |
| Computer Needed? | N |
| Bringing a laptop? | N |
| Overhead Needed? | Y |
| Software requests | |
| Special Needs | |
| Date Submitted | 3/11/2005 |
| Year | 2005 |