他下苦功思考这一新观点，经过长时间的艰苦工作，写了一篇论文，对此进行阐述。

He fell upon the new idea and after a long time of hard work wrote an important paper on it.

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经过长时间、深刻的思考后这位动物学家还是感到不解，因为两群羚羊生活在同样的环境里，吃着同样的草。

Thee zoologist puzzled after long, deep thought about the differences. As the two groups of antelopes lived in the same environment and they fed on the same kind of grass.

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我经过长时间地思考，终于发现了证明“哥德巴赫猜想”的新方法。

I after long time consideration, finally discovered that "Goldbach conjecture" new method.

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我经过长时间地思考，终于发现了证明“哥德巴赫猜想”的新方法。

I after long time consideration, finally discovered that "Goldbach conjecture" new method.

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