result in metric Diophantine approximation
C50359
concept
A result in metric Diophantine approximation is a theorem that describes how well almost all real numbers (with respect to a given measure) can be approximated by rationals or other structured sets, typically quantifying the size or frequency of exceptional sets.
All labels observed (1)
| Label | Occurrences |
|---|---|
| result in metric Diophantine approximation canonical | 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: result in metric Diophantine approximation
Generated description
A result in metric Diophantine approximation is a theorem that describes how well almost all real numbers (with respect to a given measure) can be approximated by rationals or other structured sets, typically quantifying the size or frequency of exceptional sets.
Instances (1)
| Instance | Via concept surface |
|---|---|
| Khintchine theorem | — |