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Beckman–Quarles theorem
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Mathematics
Fields of mathematics
Discrete mathematics
Discrete geometry
Mathematics of rigidity
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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.
Ancestors
(6)
Mathematics of rigidity
Discrete geometry
Discrete mathematics
Fields of mathematics
Mathematics
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