Then he considers the case of algebraic numbers and obtains some results like the following: Every real algebraic number field of finite degree is non-inductive;

然后着重在代数范围内进行讨论，得到下列的结果：每个有限次实代数数域都不是归纳域；

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Many of the familiar algebraic rules for real number arithmetic do not always hold for floating-point arithmetic.

对于浮点算法而言，许多惯用的实数算法代数规则有时并不适用。

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