以下文字摘自Indiscrete Thoughts, P223.
Every graduate student should study inequalities for at least one term. They are likely to be useful for life, no matter what field of mathematics is later chosen. Finding a theory for some lovely inequality is a research challenge for mathematicians with limited backgrounds. Most inequalities do not fit anywhere; others are crying for theorylets of their own.
Fascination with inequalities will never end; the Landau inequality relating the norms of a function, its first derivative and its second derivative is equivalent to Heisenberg's uncertainty principle.
有人知道朗道不等式等价于海森堡不确定原理的相关论述么？