• Condition that the distance between x and z is less than or equal to “the sum of the distance between x and y and the distance between y and z”.
  • That “going directly from x to z is a shorter distance than going after a detour to y.”
  • It is valid with respect to physical distance.
  • There are often cases where it is not possible to establish a relationship between the words “distant and close” in terms of Metaphors of Distance. - semantic similarity - Ease of communication

This page is auto-translated from /nishio/三角不等式 using DeepL. If you looks something interesting but the auto-translated English is not good enough to understand it, feel free to let me know at @nishio_en. I’m very happy to spread my thought to non-Japanese readers.