Symbols:Set Theory/Set Equivalence
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Set Equivalence
- $S \sim T$
Let $S$ and $T$ be sets.
Then $S$ and $T$ are equivalent if and only if:
That is, if and only if they have the same cardinality.
This can be written $S \sim T$.
If $S$ and $T$ are not equivalent we write $S \nsim T$.
The $\LaTeX$ code for \(S \sim T\) is S \sim T
.
The $\LaTeX$ code for \(S \nsim T\) is S \nsim T
.
Sources
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Appendix $14$: Symbols