理解
The Internet is the first thing that humanity has built that humanity doesn't understand, the largest experiment in anarchy that we have ever had.
The study of computational complexity is not just about classifying problems; it is about understanding the nature of computation itself.
In mathematics, as in life, the most elegant solutions often arise from a deep understanding of the problem.
Understanding the limits of computation is as important as expanding its capabilities.
In quantum computing, we are not just pushing the boundaries of technology, we are pushing the boundaries of our understanding of the universe.
The challenge of quantum computing is not just in building the hardware, but in understanding the new algorithms that can take advantage of it.
Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.
Understanding the computational complexity of learning problems is essential for developing efficient algorithms.
The challenge in computational learning theory is to understand the capabilities and limitations of learning algorithms.
"The challenge in theoretical computer science is not just to solve problems, but to understand why they are hard to solve."
"Understanding the limits of computation is as important as understanding the limits of mathematics."
"Theoretical computer science is not just about algorithms and data structures; it's about understanding the fundamental limits of computation."
The best programs are written so that computing machines can perform them quickly and so that human beings can understand them clearly. A programmer is ideally an essayist who works with traditional aesthetic and literary forms as well as mathematical concepts, to communicate the way that an algorithm works and to convince a reader that the results will be correct.
The only way to make sense out of change is to plunge into it, move with it, and join the dance.
The Internet is the first thing that humanity has built that humanity doesn't understand, the largest experiment in anarchy that we have ever had.
The best way to understand a program is to try to change it.
The study of formal languages and automata is essential for understanding the theoretical underpinnings of computer science.
The theory of computation provides a foundation for understanding what can and cannot be computed.
Understanding the limits of computation is as important as understanding the capabilities.
If you don’t try to uncover what is unseen and understand its nature, you will be ill prepared to lead.