1915年，应数学物理学家大卫·希尔伯特的邀请，爱因斯坦去哥廷根做了几次演讲。

In 1915, Einstein made a trip to Gottingen to give some lectures at the invitation of the mathematical physicist David Hilbert.

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1901年，意大利数学家马里奥·拉扎里尼对该理论进行了实验尝试，他一共掷出了3408根针，得出的π值为3.1415929…，这个数值准确到小数点后六位。

The theory was put to the test in 1901 by Mario Lazzarini, a mathematician who dropped 3408 needles to get a value of 3.1415929…, correct to the first six decimal places.

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有人要求一队数学家去测量一根旗杆的高度。

A team of mathematicians were required to measure the height of a flagpole.

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So sometimes the extra solution is very interesting and you should always listen to the mathematics when you get extra solutions.

所以有时候这些增根的意义很耐人寻味,当你解出增根的时候,别忘了想一想它的数学含义

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But the mathematicians told Dirac, "You cannot ignore the negative energy solution because it tells you there's a second solution and you cannot throw them out."

但数学家们告诉狄拉克,你不能忽略负的能量,因为数学告诉我有两个根,你不能随便丢掉

耶鲁公开课 - 基础物理课程节选

He was trying to describe electrons, but the theory said there are two roots in the quadratic equation and the second root is mathematically as interesting as the first one.

他当时只是想去描述电子,但是数学理论告诉我们,二次方程有两个根,而第二个根在数学上和第一个根一样有趣

耶鲁公开课 - 基础物理课程节选