distance function
C18166
concept
A distance function is a rule that assigns a non-negative real number to quantify how far apart two elements are in a given space, typically satisfying properties like non-negativity, identity, symmetry, and the triangle inequality.
All labels observed (5)
| Label | Occurrences |
|---|---|
| distance function canonical | 2 |
| Minkowski distance | 1 |
| collaboration distance measure | 1 |
| distance measure | 1 |
| multivariate distance | 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: distance function
Generated description
A distance function is a rule that assigns a non-negative real number to quantify how far apart two elements are in a given space, typically satisfying properties like non-negativity, identity, symmetry, and the triangle inequality.
Instances (6)
| Instance | Via concept surface |
|---|---|
| Euclidean metric | — |
| Hamming distance | distance measure |
| Erdős number concept | collaboration distance measure |
| Hausdorff metric | — |
|
Chebyshev distance
linked to:
Chebyshev distance (L-infinity metric)
|
Minkowski distance |
| Mahalanobis distance | multivariate distance |