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

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In summary, A (+) B is the symmetric difference, which is the set of elements in either A or B, but not in both.
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Goldenwind
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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: [tex]\oplus[/tex]
 
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  • #2
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)
 

1. What is a set?

A set is a collection of distinct objects, called elements, that are grouped together based on a specific criteria or characteristic.

2. How do you represent a set?

A set can be represented using curly braces { }, with the elements of the set separated by commas. For example, the set of even numbers can be written as {2, 4, 6, 8, ...}.

3. What is the cardinality of a set?

The cardinality of a set is the number of elements in the set. It is denoted by the symbol |S|, where S is the set. For example, if S = {1, 2, 3}, then |S| = 3.

4. What is the difference between a set and a subset?

A set is a collection of elements, while a subset is a set that contains only elements that are also in the larger set. In other words, all elements in a subset are also present in the larger set.

5. What is the universal set?

The universal set is the set that contains all possible elements. It is often denoted by the symbol ∅, and is used as a reference for other subsets. For example, in a set of all even numbers, the universal set would be the set of all integers.

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