View Proposal #125
If this proposal belongs to you, you are authorized to update it. Use the menu on the right.
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 |