Liouville numberとは 意味・読み方・使い方

名詞

Liouville number (複数形 Liouville numbers)

1. (number theory) An irrational number x with the property that, for every positive integer n, there exist integers p and q with q > 1 and such that ${\displaystyle \textstyle 0<\left|x-{\frac {p}{q}}\right|<{\frac {1}{q^{n}}}.}$

上位語

• transcendental number

関連する語

• Liouville-Arnold theorem
• Liouville's equation
• Liouville's formula
• Liouville's theorem