Notation for Referencing Elements in a Set

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Homework Help Overview

The discussion revolves around the notation used to reference elements exclusively within a specific set in set theory. The original poster is seeking a concise way to denote elements that belong solely to a given set, contrasting with the use of intersections and complements.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the possibility of a specific notation for elements in a set, with some questioning the clarity and context of the original query. Others suggest using set difference as a conventional approach to denote elements in one set but not in others.

Discussion Status

The conversation is ongoing, with various interpretations of the question being explored. Some participants have provided insights into existing notations, while others are seeking further clarification on the original poster's intent.

Contextual Notes

There appears to be some ambiguity regarding the original question, as one participant describes it as "silly," indicating a potential misunderstanding or lack of context. The discussion may benefit from additional examples or scenarios to clarify the inquiry.

danago
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Hi. I am just wondering, is there any notation i can use to refer to elements ONLY in a certain set. Usually, given sets A, B and C, i could refer to elements of only set A as [tex]A \cap \overline B \cap \overline C[/tex], but is there some notation that specifically refers to elements ONLY in a certains set?
 
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I can't think of anything offhand. The question, as posed, is silly. Care to put it in context?
 
danago said:
Hi. I am just wondering, is there any notation i can use to refer to elements ONLY in a certain set.

[tex]\in A[/tex] ....??
 
Set difference is the usual notation: A\B is the set of elements of A that are not in B. A\(BUC) is the set of elements of A that are not in B or C.
 

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