最終更新日：2022/12/24
In the set of 3-adic numbers, the closed ball of radius 1/3 centered
at 1 is the set x|∃n∈ℤ.,x=3n+1. This closed ball partitions into exactly three smaller closed balls of radius 1/9, e.g., x|∃n∈ℤ.,x=4+9n. Then each of those balls partitions into exactly 3 smaller closed balls of radius 1/27, and the sub-partitioning can be continued indefinitely, in a fractal manner.
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元となった例文
In
the
set
of
3-adic
numbers,
the
closed
ball
of
radius
1/3
"centered"
at
1
is
the
set
x|∃n∈ℤ.,x=3n+1.
This
closed
ball
partitions
into
exactly
three
smaller
closed
balls
of
radius
1/9,
e.g.,
x|∃n∈ℤ.,x=4+9n.
Then
each
of
those
balls
partitions
into
exactly
3
smaller
closed
balls
of
radius
1/27,
and
the
sub-partitioning
can
be
continued
indefinitely,
in
a
fractal
manner.
