研究
If you want to understand function, study structure.
The key to successful research is collaboration and the sharing of knowledge across different disciplines.
"Collaboration is essential in advancing cancer research."
The work on IVF was driven by the desire to help infertile couples.
The study of mathematics is a constant dialogue between the concrete and the abstract.
I don't have any particular recipe [for developing new proofs] ... It is the reason why doing research is challenging as well as attractive. It's like being lost in a jungle and trying to use all the knowledge that you can gather to come up with some new tricks, and with some luck you might find a way out.
The study of mathematics is the indispensable basis for all intellectual and spiritual progress.
The mathematician does not study pure mathematics because it is useful; he studies it because he delights in it and he delights in it because it is beautiful.
"Mathematics is the science of patterns, and we study them to learn how to think logically, critically, and creatively."
The study of computational complexity is not just about solving problems, but also about understanding the limits of what can be computed.
"In the study of computational complexity, we often find that the boundaries of what is possible are defined by the limits of our imagination."
The essence of computer science is the study of algorithms and their efficiency.
The interplay between syntax and semantics is central to the study of formal languages.
The study of computation is essential to understanding the limits of what can be computed.
The study of automata and formal languages is fundamental to understanding the limits of computation.
The study of algorithms is as much about creativity as it is about logic and mathematics.
The most exciting breakthroughs often come from interdisciplinary research.
Collaboration is essential in research; no one can solve big problems alone.
The key to success in research is to focus on fundamental problems that have long-term impact.
"The study of randomness in computation has led to some of the most profound insights in computer science."