[Home]History of Metric space

HomePage | Recent Changes | Preferences

Revision 3 . . October 1, 2001 11:59 pm by AxelBoldt [Don't put marginal material in the middle of important stuff.]
Revision 2 . . October 1, 2001 10:26 pm by (logged).115.22.xxx [super metrics]
  

Difference (from prior major revision) (no other diffs)

Removed: 11,17d10
Some metrics satisfy a stronger version of the triangle inequality:

# For all x, y, z in M, d(x, z) <= max(d(x, y), d(y, z))

These metrics are called super-metrics. An equivalent condition is that
every triangle has at least two equal sides.


Removed: 38d30
* The p-adic numbers are a super-metric space.

Added: 39a32,39
Some metrics satisfy a stronger version of the triangle inequality:

# For all x, y, z in M, d(x, z) <= max(d(x, y), d(y, z))

These metrics are called super-metrics. An equivalent condition is that
every triangle has at least two equal sides. The p-adic numbers are a super-metric space.




Changed: 43c43
/Talk?
/Talk?

HomePage | Recent Changes | Preferences
Search: