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fourth dimension
noun
Hausdorff dimension
noun
(mathematical
analysis)
A
type
of
fractal
dimension,
a
real-valued
measure
of
a
geometric
object
that
assigns
1
to
a
line
segment,
2
to
a
square
and
3
to
a
cube.
Formally,
given
a
metric
space
X
and
a
subset
of
X
labeled
S,
the
Hausdorff
dimension
of
S
is
the
infimum
of
all
real-valued
d
for
which
the
d-dimensional
Hausdorff
content
of
S
is
zero.
fractal dimension
noun
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