Example · High school
Terms
| Term | This example | Why |
|---|
| diameter |
$1$
|
The diameter of $\setdef{0, 1}$ is $1$, the distance between its two points.
|
| cardinality |
$2$
|
The cardinality of $\setdef{0, 1}$ is $2$, because it has $2$ elements.
|
| measure |
$0$
|
The Lebesgue measure of $\setdef{0, 1}$ is $0$, because each point can be covered by an interval as short as we like.
|
| Hausdorff dimension |
$0$
|
The Hausdorff dimension of $\setdef{0, 1}$ is $0$, as for every countable set.
|
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