result in Diophantine approximation
C50358
concept
A result in Diophantine approximation is a theorem or bound that quantifies how closely real numbers can be approximated by rationals (or algebraic numbers) in terms of the size of their denominators or heights.
All labels observed (1)
| Label | Occurrences |
|---|---|
| result in Diophantine approximation canonical | 5 |
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 Diophantine approximation
Generated description
A result in Diophantine approximation is a theorem or bound that quantifies how closely real numbers can be approximated by rationals (or algebraic numbers) in terms of the size of their denominators or heights.
Instances (5)
| Instance | Via concept surface |
|---|---|
| Dirichlet approximation theorem | — |
| Hurwitz theorem | — |
|
Roth's theorem
linked to:
Roth theorem
|
— |
| Subspace theorem | — |
| Liouville's inequality in Diophantine approximation | — |