Example · Elementary
Terms
| Term | This example | Why |
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| lower bound |
The set has many lower bounds, including $3$, $2$, $0$, and every other number less than or equal to $3$
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| infimum |
$\inf \setdef{3, 5, 8} = 3$
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| minimum |
$\min \setdef{3, 5, 8} = 3$
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The minimum of $\setdef{3, 5, 8}$ is $3$ and the maximum is $8$.
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| maximum |
$\max \setdef{3, 5, 8} = 8$
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| supremum |
$\sup \setdef{3, 5, 8} = 8$
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Every nonempty finite set has a minimum and a maximum, which equal its infimum and supremum.
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