1. I'd rather have less, but better. One-half proof equals .

2. Infinity is just a metaphor, which means that when some ratios are allowed to increase indefinitely, other specific ratios can approach this limit infinitely, as close as possible.

3. Mathematics is the king of science.

4. The greatest mathematicians, such as Archimedes, Newton and Gauss, always combine theory with application impartially.

5. Some beautiful theorems in mathematics have such characteristics: they can be easily summarized from facts, but the proofs are extremely hidden.

6. Mathematics, the queen of science; Number theory, the queen of mathematics.

7. Some beautiful theorems in mathematics have such characteristics: they can be easily summarized from facts, but the proof is extremely deep. Mathematics is the king of science.