Think about expected value as the mathematical truth of how much money you are winning or losing.

把期望值想象成你能赢或输多少钱的数学真理。

What have philosophers to do with festive celebrities, and panegyrical solemnities with mathematical and physical truth?

哲学家与节日名人有什么关系，颂词与数学和物理真理有什么关系？

He explained, " the Senate might as well try to legislate water to run uphill as to establish mathematical truth by law" .

他解释说，“参议院不妨尝试立法让水往上流， 就像通过法律确立数学真理一样” 。

His legacy and lasting influence underscore the universality and timeless nature of mathematical truths, making Leonhard Euler's mathematical journey a remarkable voyage of discovery that has significantly shaped our mathematical landscape.

他的遗产和持久的影响强调了数学真理的普遍性和永恒性，使莱昂哈德·欧拉的数学之旅成为一次非凡的发现之旅，极大地塑造了我们的数学景观。