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In mathematics, Kronecker's theorem is a theorem about diophantine approximation, introduced by . Kronecker's approximation theorem had been firstly proved by L. Kronecker in the end of the 19th century. It has been now revealed to relate to the idea of n-torus and Mahler measure since the later half of the 20th century. In terms of physical systems, it has the consequence that planets in circular orbits moving uniformly around a star will, over time, assume all alignments, unless there is an exact dependency between their orbital periods. == Statement == Kronecker's theorem is a result in diophantine approximations applying to several real numbers ''xi'', for 1 ≤ ''i'' ≤ ''n'', that generalises Dirichlet's approximation theorem to multiple variables. The classical Kronecker's approximation theorem is formulated as follows; Given real numbers and , for any small there exist integers and such that : , if and only if for any with : the number is also an integer. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Kronecker's theorem」の詳細全文を読む スポンサード リンク
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