pseudometric
C18222
concept
A pseudometric is a function that assigns a nonnegative real number as a "distance" between any two points in a set, satisfying all the axioms of a metric except that distinct points are allowed to have zero distance.
All labels observed (3)
| Label | Occurrences |
|---|---|
| pseudometric canonical | 2 |
| distance-like function | 1 |
| function in metric geometry | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: pseudometric
Generated description
A pseudometric is a function that assigns a nonnegative real number as a "distance" between any two points in a set, satisfying all the axioms of a metric except that distinct points are allowed to have zero distance.
Instances (4)
| Instance | Via concept surface |
|---|---|
| Carathéodory metric | — |
| Kobayashi metric | — |
| Lempert function on convex domains | distance-like function |
| Busemann function | function in metric geometry |