Number theory Diophantine approximation and transcendence Concept
Irrational number
Summary
An irrational number is a real number that is not a rational number. Examples are , and .
Where this leads
23 pages build on this one.
- Interval exchange transformation
- Irrational rotation
- Hurwitz's theorem (number theory)
- Determinacy
- Analytic set
- Poincaré classification of circle homeomorphisms
- Circle map
- Projective determinacy
- Siegel disc
- Weyl's criterion
- Kronecker's approximation theorem
- Equidistribution theorem
- Projective hierarchy
- Baire space of sequences
- Littlewood conjecture
- Denjoy theorem on rotation number
- Herman ring
- Thue–Siegel–Roth theorem
- Gelfond–Schneider theorem
- Apéry's theorem
- Masur–Veech theorem
- Axiom of determinacy
- Brjuno number
Further reading
- Web https://en.wikipedia.org/wiki/Irrational_number, lead section
About this page
| Tag | 0DZXAXEJQ9 |
|---|---|
| URI | m2://0DZXAXEJQ9 |
| Kind | concept |
| Writing | W1 stated |
| MSC | 11J72 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Definitions
Special cases
Used by
- Irrational rotation
- Hurwitz's theorem (number theory)
- Siegel disc
- Equidistribution theorem
- Baire space of sequences
- Littlewood conjecture
- Herman ring
- Thue–Siegel–Roth theorem
- Gelfond–Schneider theorem
- Apéry's theorem
- Brjuno number