|
|
| Line 1: |
Line 1: |
| = ARCHIVED WIKISPACES DISCUSSION BELOW =
| | {{WSArchiveLink}} |
| '''All discussion below is archived from the Wikispaces export in its original unaltered form.'''
| |
| ----
| |
| | |
| == Characteristic polynomials - factorisable or not ==
| |
| "An invariant of [the distance matrix D = (d(i, j))], independent of the ordering of the points, is the characteristic polynomial of D." Care to define this concept, and give an example or two? (In particular, one that factorises and another that doesn't.)
| |
| | |
| - '''YahyaA''' October 28, 2015, 06:45:27 AM UTC-0700
| |
| ----
| |
| | |
| == The distance matrix completely characterises a finite metric space ==
| |
| We've heard that "A finite metric space is completely characterized by its distance matrix D = (d(i, j))". Again, a concrete example or two would make this concept clearer.
| |
| | |
| - '''YahyaA''' October 28, 2015, 06:41:06 AM UTC-0700
| |
| ----
| |
| | |
| == Concrete examples help understand abstract concepts ==
| |
| It would be useful to follow the Definition with one or two specific examples, showing the actual distance values for several notes of a specific periodic scale.
| |
| | |
| - '''YahyaA''' October 28, 2015, 06:35:07 AM UTC-0700
| |
| ----
| |
