Can You Hear the Shape of a Drum? (Complete Version) [Reel 2 of 2; Composite]
- Film begins.
- Mark Kac begins lecture.
- Diffusion is a macroscopic manifestation of the microscopic motion of the tiny particles of stuff...
- Each integral stands for a double integral.
- It was Norbert Wiener who conceived the idea of making this a basis of a measure theory in the following sense
- Now we know we can hear the shape of a drum.
- Considers a convex drum.
- Perform a few simple transformations
- If you come even closer to the boundary, can one begin to feel the effects of curvature?
- Shows solution on a slide.
- Could introduce holes
- End of lecture.
- End film credits begin.