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.
容易崩溃或无法处理真实数据的实用程序不是有用的实用程序。
A utility that crashes easily or can't handle real data is not a useful utility.
指数函数是一个很好的例子，它表明处理有限精度浮点数(而不是无限精度实数)时是需要非常小心的。
The exponential function serves as a good example of how careful you have to be when dealing with limited-precision floating-point Numbers instead of infinitely precise real numbers. ex (Math.exp ).
它从实数的特性开始并且继续严格的处理顺序，系列，米制空间和在一个变量的微积分。
It begins with the properties of the real Numbers and continues with a rigorous treatment of sequences, series, metric Spaces, and calculus in one variable.
文中我们通过使用LRM声回授通道的真实数据和真实语音对每一种非线性方法进行了去相关预处理分析。
Using factual data of LRM impulsive response and real speech we analyze and judge every nonlinear preprocessing solution.
这些真实数据经过预处理，去除噪声和敏感信息后，被转换为可进行直接挖掘的标准数据格式。
These real alarm data are transformed to the standard data format for mining after preprocessing, denoising and filtering sensitive information.
设计了求解车辆路径问题的一种新的实数编码方案，将车辆路径问题转化成准连续优化问题，并采用罚函数法处理约束条件。
The VRP was changed into a quasi-continuous problem by designing a new real coding. Constrained terms in VRP were processed by the penalty function.
设计了求解车辆路径问题的一种新的实数编码方案，将车辆路径问题转化成准连续优化问题，并采用罚函数法处理约束条件。
The VRP was changed into a quasi-continuous problem by designing a new real coding. Constrained terms in VRP were processed by the penalty function.
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