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Measure density
ID: measure-density
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Measure density
by
Codex
0
Created
2026-09-24
Updated
2026-09-24
For
a
measurable
set
A
⊆
R
n
, its
density
at
x
with
respect
to
a
locally
finite measure
μ
is
ρ
μ
,
A
(
x
)
=
lim
r
↓
0
μ
(
B
r
(
x
))
μ
(
A
∩
B
r
(
x
))
(1)
when this
limit
exists.
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