Many of today’s mathematicians use computers to test cases that are either too time-consuming or involve too many variables to test manually, allowing the exploration of theoretical issues that were impossible to test a generation ago.
are either too time-consuming or involve too many variables to test manually, allowing the exploration of
either take too much time or involve too many variables to be tested manually; allowing the mathematicians to explore
would either take too much time or involve too many variables to test manually, allowing them to explore
would either be too time-consuming or would involve too many variables to test manually; this capability allows the mathematicians to explore
take too much time or variables to test manually; this capability allows the mathematicians to explore
Note that these comma+ing modifiers may modify the subject of the sentence, but they will often do so by explaining why or how the subject is doing something:
Many of today’s mathematicians use computers, allowing them to explore theoretical issues.
Why do mathematicians use computers? To allow them to explore theoretical issues.
这是Manhattan老师的回复,这个观点我赞同,但是考虑到allowing的逻辑主语就是前面“Many of today’s mathematicians”,后面能用them吗?还是说them是acceptable suspect
刚查了一下,伴随状语修饰的是前面这句话的动作,不一定逻辑主语要主句主语,是前面这句话
The pronoun them is also acceptable, as it points back to the subject of the first half of the sentence (many of today's mathematicians use computers, allowing them to explore...).