What this symbols means regarding groups

In summary, "a\b" and "b\a" refer to the set of numbers that are in a but not in b, and the set of numbers that are in b but not in a, respectively. This is different from "a-b" which refers to the set of all numbers that can be formed by subtracting a number in b from a number in a.
  • #1
transgalactic
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i got two groups of numbers "a" and "b"

what is the meaning of a\b and b\a

??
 
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  • #2
Do you mean "groups" in the algebraic sense or just sets of numbers. Typically, if a and b are sets "a\b" means all members of a that are NOT in b. It is the same a intersect (complement b).

When you are dealing specifically with sets of numbers you should be careful to distinguish that from "a- b" which means the set of all numbers that can be formed by subtracting a number in b from a number in a.
 

Related to What this symbols means regarding groups

1. What does the symbol "∪" mean in relation to groups?

The symbol "∪" is known as the union symbol and is used to denote the combination of elements from two or more groups. In other words, it represents the set of all elements that are present in any of the given groups.

2. How is the symbol "∩" interpreted in terms of groups?

The symbol "∩" is called the intersection symbol and is used to denote the common elements shared by two or more groups. It represents the set of all elements that are present in all of the given groups.

3. What is the significance of the symbol "⊂" in the context of groups?

The symbol "⊂" is known as the subset symbol and is used to indicate that one group is a subset of another group. In other words, all the elements of the first group are also present in the second group.

4. What does the symbol "Σ" represent in relation to groups?

The symbol "Σ" is known as the summation symbol and is used to denote the sum of all elements in a group. It is often used in mathematical equations to calculate the total value of a set of numbers.

5. How is the symbol "∅" interpreted when used in relation to groups?

The symbol "∅" is called the empty set symbol and is used to represent a group with no elements. It is often used in mathematical proofs and to represent the absence of any elements in a particular context.

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