The Ruzsa distance between two subsets A
, B
of a group G
is defined to be the Ruzsa distance between their uniform probability distributions. Is only intended for use when A
, B
are finite and non-empty.
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Instances For
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Instances For
The Ruzsa distance between two subsets A
, B
of a group G
is defined to be the Ruzsa distance between their uniform probability distributions. Is only intended for use when A
, B
are finite and non-empty.
Equations
- One or more equations did not get rendered due to their size.
Instances For
Relating Ruzsa distance between sets to Ruzsa distance between random variables
Ruzsa distance between sets is nonnegative.
Ruzsa distance between sets is symmetric.
Ruzsa distance between sets obeys the triangle inequality.
Ruzsa distance between sets is translation invariant.
Ruzsa distance between sets is preserved by injective homomorphisms.
Ruzsa distance between sets is controlled by the doubling constant.