the memory of 是...的记忆的意思。例如:
Recall the memory of the past and contrast it with the happiness of today.
想想过去的苦,比比今天的甜。
in memory of 是 在...的记忆里的意思
例如
You are always in memory of mine.
你永远都在我的记忆里。
the memory of 是...的记忆
in memory of 是纪念某人某事的意思
经常电影里最后会有 in memory of our great police ,Tom
意思就是谨以此片献给我们伟大的警察 Tom