证明
The discovery of 51 Pegasi b was a turning point in astronomy, proving that planets could exist around sun-like stars.
The discovery of gravitational waves was a testament to the power of human ingenuity and perseverance.
The robustness of topological states against local perturbations is a testament to the power of topology in protecting quantum information.
The laws of physics are the same in every corner of the universe, a testament to the unity and coherence of the cosmos.
The study of topological phases of matter is a testament to the power of theoretical physics to predict and explain new states of matter.
A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories.
I have already carried out my duty. I have proved the Poincaré conjecture and I have nothing more to do in mathematics.
The genetic code is a testament to the complexity and elegance of biological systems.
Every child born through IVF is a miracle, a testament to the resilience of life.
The success of IVF is a testament to the power of collaboration between scientists and clinicians.
The elegance of a mathematical proof is in its simplicity and clarity.
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.
If you do something once, people will call it an accident. If you do it twice, they call it a coincidence. But do it a third time and you've just proven a natural law.
A proof is a device for convincing someone else that a mathematical statement is true.
A proof tells us where to concentrate our doubts.
The power of randomization in algorithms is a testament to the unpredictability and richness of the computational world.