The memory space of a float or double value is limited, so some values cannot be represented.

浮点或者双精度浮点的内存空间是限定了的，所以某些值不能被表示。

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These classes allow the various geometric shapes to be constructed with coordinates of either double or float precision.

这些类允许各种几何图形建立在双精度或浮点精度的坐标系上。

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The next two—float and double—represent floating-point numbers, again with different dynamic ranges.

随后的两种——float和double，代表了浮点型数，同样具有不同的动态范围。

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But one of the teaching fellas also passed long to us recently, a little real world example of what happens when you're not mindful of various data types and you're not mindful of the imprecision that's inherent in representing data in a computer, at least using a language like C and low level primitives like floats and even doubles.

最近有个助教告诉我们，一个现实世界中的例子,当你不注意各种各样的数据类型,也不注意在计算机中表示数据时,其内在的不精确性，至少在用像C语言,和float甚至double型数据时，那将会发生什么？

哈佛公开课 - 计算机科学课程节选