For English Writing

动词短语

1. come to the fore 脱颖而出
2. play a dominating role 很重要
3. take into account sth. 考虑在内
4. reside in/on 坐落在、居住在

名词短语

1. essential prerequisite 基本前提

状语短语

1. motivated by these observations 受这些观察的启发
2. More formally, ... 字面义：更正式地；表示“更详细地、更严格地”，后面跟方法的详细描述或者公式。
3. The method gives theoretical justifications of ... 该方法从理论上证明了…
4. When it comes to ... 当谈到…时

转折词(连接词)

1. Regarding (whether) ... 根据（是否）…