Definition:Distinct/Plural
< Definition:Distinct(Redirected from Definition:Distinct Elements)
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Definition
Two objects $x$ and $y$ are distinct if and only if $x \ne y$.
If $x$ and $y$ are distinct, then that means they can be distinguished, or identified as being different from each other.
Pairwise Distinct
A set of objects is pairwise distinct if each pair of elements of that set is distinct.
Also defined as
Some sources restrict the scope of this definition to mean not numerically equal.
Also known as
Distinct means the same thing as different.
If $x$ and $y$ are distinct then:
- a distinction can be made between $x$ and $y$
- $x$ is distinct from $y$; $y$ is distinct from $x$; $x$ and $y$ are distinct from each other.
Also see
Also see
- 1975: T.S. Blyth: Set Theory and Abstract Algebra ... (previous) ... (next): $\S 1$. Sets; inclusion; intersection; union; complementation; number systems
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Entry: distinct