最終更新日：2022/12/24
If S is nonempty then if the d-dimensional Hausdorff content of S is zero then d is larger than the Hausdorff dimension of S, and if the d-dimensional Hausdorff content of S is infinite then d is smaller or equal to the Hausdorff dimension of S. If the d-dimensional Hausdorff content of S is finite and positive then d is equal to the Hausdorff dimension of S.
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元となった例文
If
S
is
nonempty
then
if
the
d-dimensional
Hausdorff
content
of
S
is
zero
then
d
is
larger
than
the
Hausdorff
dimension
of
S,
and
if
the
d-dimensional
Hausdorff
content
of
S
is
infinite
then
d
is
smaller
or
equal
to
the
Hausdorff
dimension
of
S.
If
the
d-dimensional
Hausdorff
content
of
S
is
finite
and
positive
then
d
is
equal
to
the
Hausdorff
dimension
of
S.
