Adjective
/mjuː.tʃuəli ɪnˈdɛp.ənd.ənt/
The term "mutually independent" refers to a situation where two or more entities operate without reliance on each other. In statistics, for instance, two events are said to be mutually independent if the occurrence of one does not affect the probability of occurrence of the other. This term is commonly used in mathematical contexts, particularly in probability theory and statistics.
It is not a colloquial expression; rather, it is more frequently encountered in written texts, especially academic literature and formal discussions. The usage frequency is moderate, primarily appearing in specialized discussions.
Mutually independent events in probability theory help determine outcomes without interference from one another.
В теории вероятности взаимно независимые события помогают определять результаты без вмешательства друг друга.
In a truly collaborative project, each team member should feel mutually independent while contributing to the common goal.
В действительно совместном проекте каждый член команды должен чувствовать себя взаимно независимым, внося вклад в общее дело.
The researchers found that the two variables were mutually independent, which simplified their analysis significantly.
Исследователи выяснили, что две переменные были взаимно независимыми, что значительно упростило их анализ.
While "mutually independent" is not commonly used in idiomatic expressions, the concept of independence is often expressed in phrases that emphasize autonomy and lack of dependence. Here are some illustrative sentences:
To stand on one's own two feet is essential for mutual independence in a partnership.
Стоять на своих собственных ногах жизненно важно для взаимной независимости в партнерстве.
The two companies operate as separate entities, thriving on their own without leaning on one another.
Эти две компании функционируют как отдельные единицы, процветая самостоятельно, не полагаясь друг на друга.
In a mutually independent relationship, each person should be able to pursue their passions freely.
В взаимно независимых отношениях каждый должен иметь возможность свободно заниматься своими увлечениями.
It’s crucial for members of a team to understand how to be mutually independent while still working towards a shared goal.
Крайне важно, чтобы члены команды понимали, как быть взаимно независимыми, оставаясь при этом на пути к общей цели.
The phrase "mutually independent" combines "mutually," derived from the Latin "mutuus," meaning "borrowed or lent," which reinforces the concept of reciprocal action, and "independent," originating from the Latin "independens," meaning "not depending on." Together, they highlight a relationship characterized by non-dependence between parties.
Synonyms: - Autonomous - Self-reliant - Non-dependent
Antonyms: - Interdependent - Dependent - Connected
In conclusion, "mutually independent" denotes a state of autonomy between entities or variables, primarily utilized in academic and formal contexts. While it may not have idiomatic expressions directly associated with it, the principles of independence and autonomy are prevalent in various phrases within English.