This is the 12044th most frequent Russian word.
значимы
Significant.
In this sentence, 'значимы' refers to the importance or significance of the research in the context of scientific advancement.
Эти исследования очень значимы для науки.
These studies are very significant for science.
Here, 'значимы' indicates that her ideas played an important role in the development of the project.
Её идеи оказались значимы в создании проекта.
Her ideas turned out to be significant in the creation of the project.
In this context, 'значимый' (the singular form of 'значимы') describes a state of being important or impactful in the relationships or lives of other people.