Facts
Citation
URLhttps://en.wikipedia.org/wiki/Liouville_number
Sources
Liouville number, Wikipedia
Lead sectionQuote, Lead section
In 1844, Joseph Liouville proved a bound showing that there is a limit to how well algebraic numbers can be approximated by rational numbers, and he defined Liouville numbers specifically so that they would have rational approximations better than the ones allowed by this bound.
Claims Backed By This Source (15 claims)
This source backs 15 claims across the atlas. As facts: 7 well-attested. As cited relationships: 4 holds. Plus 4 entities citing it as a general reference with no single fact or relationship attached.
Disposition By Topic
- Theorems, 8 claims: 4 well-attested, 2 holds, 2 general references.
- Mathematical Objects, 6 claims: 2 well-attested, 2 holds, 2 general references.
- Sources, 1 claims: 1 well-attested.
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