In the standard decimal representation, almost all real numbers do not have a terminating decimal representation.
在标准的十进制中，几乎所有实数都不能用有限小数表示。
Replacing variables with real numbers might help clarify the behavior.
使用实数替换变量可能有助于使这一行为更加清晰。
Should you have some real numbers for your disk service time or average request latency, you can plug them in to the calculations above to get better performance estimates.
如果您有磁盘服务时间或平均请求延时的真实数据，可以把它们放进上面的算式，从而计算出更准确的性能估计值。
We won’t evaluate them yet (after all, you’ve got a few days to go before you have some real numbers), but you should realize that you’re going to have to save some money to meet these goals.
目前我们并不打算衡量这些计划（毕竟在你得到真实的数据之前，还需要一点时间），但是，你应该意识到，你必须开始节省以实现这些新目标。
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 ).
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。
This implies that Rolles Theorem is the direct consequence of completeness of real numbers.
由此可见罗尔微分中值定理可以是实数的完备性的直接推论。
We put forward a new idea: hyper-real numbers have the unity of opposites between motion and rest.
提出一个新观点：超实数具有变与不变的对立统一性；
The underlying model of time appropriate to the application can range from discrete natural numbers and integers to dense linear real numbers or to algebras of intervals and trees.
为了符合应用，关于时间的模型从离散的自然数和整数，延伸到稠密的线性实数，甚至扩展到区间代数和树代数。
But the real Numbers might be even higher.
而真实的数目恐怕会更高。
Floating-point Numbers are not real Numbers.
浮点数并不是实数。
However, you can't use real Numbers, only integers.
但不能使用实数，只能使用整数。
Blank Spaces separate the string, integer, and real Numbers.
使用空格分隔字符串、整数和实数。
Most real Numbers can't be stored in just a few bytes of memory.
大多数实数都无法保存在几个字节的内存中。
In most modern programming environments, dates are stored as real Numbers.
在大多数现代程序开发环境中，日期被存为实数。
The conclusion is that the Hilbert Hotel can't accommodate all the real Numbers.
综上所述的结论是，希尔伯特旅馆容纳不下所有的实数。
For any two distinct real Numbers you name, I can name another one in between them.
任意两个不同的实数中间都可以出现其他实数。
Don't just ask for more, but do so intelligently, with real Numbers to support your argument.
不要直白地要求更多薪水，而是聪明地用实际数字支撑你的论点。
No one knows what the real Numbers are, given the difficulty of collecting data in the country.
但是由于在阿富汗搜集数据极为不易，没有人知道确切的数字究竟是多少。
I advise everyone to triangulate between the various approaches to get some idea of the real Numbers.
我建议所有人都尝试不同的统计方法以获取尽可能真实的数据。
It was to show that no list could possibly contain all the 'real Numbers', that is, all infinite decimals.
它说明的是，不可能有一个列表把所有的实数列出来。
A zero can have its meaning only used with real Numbers; thoughts can give off brilliant light only when put into actions.
零，只有和实数在一起才有意义；思想，只有和行动在一起才能发出光芒。
In Part 2, I'll explore the functions more designed for operating on floating point Numbers as opposed to abstract real Numbers.
在第2部分，我将探讨专为操作浮点数(与抽象实数相反)而设计的函数。
Zero can have its meaning only when it is used with real Numbers; thoughts can give off brilliant light only when they are put into actions.
零，只有和实数用在一起才有意义；思想，只有付诸行动才能发出光芒。
Fuzzy variables are mathematical descriptions for fuzzy phenomena, and are de-fined as functions from a possibility space to the set of real Numbers.
模糊变量是描述模糊现象的数学方法，它被定义为一个从可能性空间到实数集的函数。
In most programming languages, Numbers that include a decimal fraction are called floating-point Numbers, which are used to approximate real Numbers in mathematics.
在大部分的编程语言中，包含了小数点的数字称之为浮点数，可以用它来表示数学中的实数。
Here in Part 2, I focus on the functions that make sense only when you realize that they're designed for operating on floating-point Numbers instead of abstract real Numbers.
在第2部分中，我主要关注这样一些函数，它们的目的是操作浮点数，而不是抽象实数。
Here in Part 2, I focus on the functions that make sense only when you realize that they're designed for operating on floating-point Numbers instead of abstract real Numbers.
在第2部分中，我主要关注这样一些函数，它们的目的是操作浮点数，而不是抽象实数。
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