“Dirichlet’s approximation theorem”的概念、定义、翻译、参考文献-科学参考

单词	Dirichlet’s approximation theorem
释义	Dirichlet’s approximation theorem Mathematics Let α‎ be a real number and Q > 1 be an integer. Then there are integers p,q with 0< q < Q such that \|qα‎ −p\|≤1/Q. Consequenctly, there are infinitely many p,q satisfying \|α‎ −p/q\|≤1/q². This is a significant result in Diophantine approximation, the study of approximating real numbers by rational numbers. Compare Roth’s theorem.
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