原因是这些快速算法虽减少了计算复杂性，但在计算过程中仍需要大量浮点运算。

The reason beyond this is that those fast algorithms do reduce the complexity of computing but still one needs to use floating-point arithmetic operations in the computation process.

在计算复杂性领域里，大多数复杂类都是按照接受它们的图灵机而加以描述的。

In the field of complexity theory, most of complexity classes are described according to their acceptance by different kinds of Turing machines.

知识编译是近年来出现的一个新的研究方向，它用于处理一般命题逻辑推理的计算复杂性。

Knowledge Compilation emerged in recent years as a new research direction; it is used to deal with the computational complexity of propositional logic.