We shall be dealing with vector spaces over either the reals or the complex numbers.
我们应处理向量空间超过要么雷亚尔或复杂的数字。
The supremum axiom of the reals refers to subsets of the reals and is therefore a second-order logical statement.
实数集的上确界公理用到了实数集的子集，这是一种二阶逻辑的陈述。
The kicker: Most of Bündchen’s paychecks are paid in euros and Brazilian reals, resulting in an increase in earnings versus the dollar.
注：邦辰大部分收入是以欧元和巴西货币雷亚尔支付，因此按照汇率兑换成美元后数额更大。
In addition, by using inactivity time to characterize the second-price closed-seal auction rent, we investigate how the variation of the auction rents reals that of populations.
另外，通过利用休止时间对第二价格密封拍卖租金的刻画，我们研究了拍卖租金差异所揭示的拍卖估价母体的差异。
Mathematicians are familiar with this; common problems in algebra are more tractable when considered over the complex numbers than over the reals, even though complex arithmetic is more difficult.
数学家对此很熟悉；如果将代数中的常见问题考虑成复数而不是实数时，那么这些问题就更容易处理，尽管复数算法较难。
Mathematicians are familiar with this; common problems in algebra are more tractable when considered over the complex numbers than over the reals, even though complex arithmetic is more difficult.
数学家对此很熟悉；如果将代数中的常见问题考虑成复数而不是实数时，那么这些问题就更容易处理，尽管复数算法较难。
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