membership
n.-
1 status of belonging (n.) B1 Intermediatethe state of being a member of a group, club, or organization.
the status or condition of being a member of a collective entity. Uncountable in this abstract sense.
ExampleYou need to pay a small fee to renew your gym membership every year.
ExampleThe committee decided to grant her honorary membership in recognition of her lifelong dedication to the local historical society.
UsageOften used with the preposition 'of' or 'in'.
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2 the group of members (n.) B2 Upper Intermediateall the people who belong to a particular group or organization.
the collective body of members belonging to an organization. Usually treated as a singular collective noun.
ExampleThe club's membership has grown quickly over the last few months.
ExampleThe union's membership voted overwhelmingly to reject the latest contract offer from the management team.
UsageCan be followed by a singular or plural verb in British English.
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3 set theory (n.) C1 Advanced Technical Maththe fact that an object or number belongs to a specific set.
the relation between an element and the set that contains it.
ExampleIn this math problem, we need to check the membership of each number in the set.
ExampleThe proof relies on the membership of the variable within the defined set of real numbers.
UsageOften represented by the symbol ∈.
From member + -ship.