数学直觉常常指导算法的发展，但确保其正确性和效率的是严格的证明。
Mathematical intuition often guides the development of algorithms, but it is the rigorous proof that ensures their correctness and efficiency.
每一本书都是一扇通向另一个世界的门，每一个读者都是穿越它的旅行者。
Sustainability must be at the core of everything we do in the chemical industry.
The use of a program to prove the 4-color theorem will not change mathematics - it merely demonstrates that the theorem, a challenge for a century, is probably not important to mathematics.