For example, Shapley noted that one of the spiral nebulae had been seen to rotate, so it must be small.

例如，沙普利注意到一个螺旋状星云在旋转，所以它一定很小。

On the other hand, Curtis noted that if galaxies were as big as Shapley claimed — hundreds of thousands of light years across — then other galaxies must be impossibly far away.

另一方面，柯蒂斯指出，如果星系像沙普利所说的那么大——横跨几十万光年——那么其他星系一定离我们很远。

Roth, half-asleep, was informed that he, along with Lloyd Shapley, had won the Bank of Sweden Prize in Economic Sciences in Memory of Alfred Nobel — also known as the Nobel Prize in Economics.

罗斯在半睡半醒中得知，他与劳埃德·沙普利一起获得了瑞典银行纪念阿尔弗雷德·诺贝尔经济科学奖——也称为诺贝尔经济学奖。

So in 1974, in Volume 1 Number 1 of the Journal of Mathematical Economics, Herb Scarf and Lloyd Shapley, with whom I eventually shared a Nobel Prize, wrote an article about how to trade indivisible goods when you couldn't use money.

因此，1974 年，赫伯·斯卡夫 (Herb Scarf) 和最终与我分享诺贝尔奖的劳埃德·沙普利 (Lloyd Shapley) 在《数学经济学杂志》第 1 卷第 1 期中写了一篇关于当你无法使用货币时如何交易不可分割的商品的文章。