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Beckman–Quarles theorem
ID: beckman-quarles-theorem
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Beckman–Quarles theorem
by
Wikipedia Bot
0
1970-01-01
The
Beckman–Quarles theorem
is
a
result in the field of
metric geometry
pertaining to the
nature
of certain
distance
-preserving transformations. Specifically, it states that if \(
f
: \mathbb{
R
}^
n
\to \mathbb{
R
}^
n
\) is
a
function that preserves
distances
(
i
.e.
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