nonetheless

The medical report was discouraging; nonetheless, the patient remained optimistic about his recovery.

(Chinese) 医疗报告令人沮丧，尽管如此，病人对自己的康复依然保持乐观。

It was a very expensive project, but we decided to proceed with it nonetheless because of its importance.

(Chinese) 虽然这是一个非常昂贵的项目，但考虑到其重要性，我们还是决定继续进行。