The development of computational complexity theory has shown us that not all problems are created equal.
计算复杂性理论的发展向我们展示了并非所有问题都是平等的。
To solve a problem, one must first understand its nature and then find the right tools to tackle it.
To solve a problem, one must first understand its nature and then find the right tools to tackle it.
要解决一个问题,首先必须理解它的本质,然后找到正确的工具来处理它。
The beauty of mathematics lies in its ability to reveal the underlying simplicity in what appears to be complex.
数学之美在于它能够揭示看似复杂事物背后的简单性。
In computational complexity, we are not just dealing with the limits of what we can compute, but also with the limits of what we can prove.
在计算复杂性中,我们不仅仅是在处理我们能计算的极限,也是在处理我们能证明的极限。
The most important thing in science is not so much to obtain new facts as to discover new ways of thinking about them.