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In mathematics, a collection of real numbers is rationally independent if none of them can be written as a linear combination of the other numbers in the collection with rational coefficients. A collection of numbers which is not rationally independent is called rationally dependent. For instance we have the following example. Because if we let , then .

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  • 有理依存性 (ja)
  • Rational dependence (en)
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  • In mathematics, a collection of real numbers is rationally independent if none of them can be written as a linear combination of the other numbers in the collection with rational coefficients. A collection of numbers which is not rationally independent is called rationally dependent. For instance we have the following example. Because if we let , then . (en)
  • 数学においてある実数の集まりが有理独立(ゆうりどくりつ、英: rationally independent)であるとは、それらの有理係数による線型結合で表すことの出来る数が、その集まりの中に含まれないことを言う。有理独立でない数の集まりのことを有理依存(ゆうりいぞん、英: rationally dependent)と言う。例えば、次の例が挙げられる: (ja)
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  • In mathematics, a collection of real numbers is rationally independent if none of them can be written as a linear combination of the other numbers in the collection with rational coefficients. A collection of numbers which is not rationally independent is called rationally dependent. For instance we have the following example. Because if we let , then . (en)
  • 数学においてある実数の集まりが有理独立(ゆうりどくりつ、英: rationally independent)であるとは、それらの有理係数による線型結合で表すことの出来る数が、その集まりの中に含まれないことを言う。有理独立でない数の集まりのことを有理依存(ゆうりいぞん、英: rationally dependent)と言う。例えば、次の例が挙げられる: (ja)
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