两位科学家几乎在同一时间独立地做出了同样的发现。

The two scientists both made the same discovery ___independently, at roughly the same time.

组织的每个部分都独立于其他部分运作。

Each part of the organization operates ___independently of the others.

学生应该理解的是，表面上不同的学科之间存在联系，不可能独立地学习它们，或者更糟的是，学习一门而忽视其他。

What students should understand is the existence of links among apparently different subjects and the impossibility of studying them ___independently or, worse, studying one and neglecting the others.