What Does A (+) B Represent in Set Theory?

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SUMMARY

A (+) B in set theory represents the "symmetric difference" between two sets A and B. This operation can be mathematically expressed as A (+) B = A ∪ B - A ∩ B, which includes all elements that are in either set A or set B but not in both. The symbol used for this operation in TeX is \oplus. Understanding this concept is crucial for those studying advanced set theory and its applications.

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  • Basic knowledge of set operations: union (A ∪ B), intersection (A ∩ B), and difference (A - B).
  • Familiarity with mathematical notation and symbols used in set theory.
  • Understanding of TeX typesetting for mathematical expressions.
  • Concept of symmetric difference in set theory.
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  • Research the properties of symmetric difference in set theory.
  • Learn about the applications of symmetric difference in computer science and logic.
  • Explore advanced set operations and their implications in mathematical proofs.
  • Study the use of TeX for typesetting complex mathematical expressions.
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Students of mathematics, educators teaching set theory, and professionals in fields requiring logical reasoning and set operations.

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[SOLVED] Quick, simple question on sets

Homework Statement


A - B is the difference
A u B is the union
A n B is the intersection
A (+) B is what?

I would google this, but I haven't a clue what the symbol or function is called. It's supposed to be a +, inside a circle.

Can someone tell me what this symbol means, or at least tell me what it's called, so I can look it up myself?

Edit: In TeX, it's this: \oplus
 
Last edited:
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Found it.

For anyone else with a similar problem, it's the "symmetric difference"

A (+) B = AuB - AnB
(The set of elements in either A or B, but not in both)
 

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