A/B Meaning: Definition & Explanation

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Discussion Overview

The discussion revolves around the meaning of the notation A\B, exploring its definitions and interpretations in various contexts, particularly in set theory. Participants seek clarification on its usage and implications.

Discussion Character

  • Conceptual clarification, Technical explanation, Debate/contested

Main Points Raised

  • One participant asks for the meaning of A\B, suggesting it may be a simple question.
  • Another participant emphasizes the need for context, indicating that A\B could represent different concepts such as "A divided by B" or "A given B."
  • A third participant provides a formal definition from set theory, stating that A\B represents the set of elements in A that are not in B, also noting that it can be written as A-B.
  • A later reply mentions that if A and B are sets, then X can be considered an improper subset of A\B, referencing a specific theorem in graph theory.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a single definition of A\B, as multiple interpretations and contexts are presented, indicating ongoing uncertainty and debate.

Contextual Notes

The discussion highlights the ambiguity of the notation A\B without additional context, as well as the dependence on definitions from different mathematical areas.

physicsuser
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Hi, stupid question but what does A\B mean?
 
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You might want to provide some context to the question. Otherwise, it's meaningless.

It might mean "A divided by B" or "A given B" or any number of other things.

- Warren
 
If A and B are sets:
[tex]A\setminus B=\{x\in A | x\notin B\}[/tex]

Sometimes also written as A-B.
 

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