Category:Definitions/Symmetric Difference
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This category contains definitions related to Symmetric Difference.
Related results can be found in Category:Symmetric Difference.
The symmetric difference between two sets $S$ and $T$ is written $S \symdif T$ and is defined as:
Definition 1
- $S \symdif T := \paren {S \setminus T} \cup \paren {T \setminus S}$
Definition 2
- $S \symdif T = \paren {S \cup T} \setminus \paren {S \cap T}$
Definition 3
- $S \symdif T = \paren {S \cap \overline T} \cup \paren {\overline S \cap T}$
Definition 4
- $S \symdif T = \paren {S \cup T}\cap \paren {\overline S \cup \overline T}$
Definition 5
- $S \symdif T := \set {x: x \in S \oplus x \in T}$
Pages in category "Definitions/Symmetric Difference"
The following 10 pages are in this category, out of 10 total.
S
- Definition:Symmetric Difference
- Definition:Symmetric Difference of Events
- Definition:Symmetric Difference/Definition 1
- Definition:Symmetric Difference/Definition 2
- Definition:Symmetric Difference/Definition 3
- Definition:Symmetric Difference/Definition 4
- Definition:Symmetric Difference/Definition 5
- Definition:Symmetric Difference/Notation
- Definition:Symmetric Difference/Venn Diagram