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I've got a problem I've been working on for some weeks and this might be the key to unlocking it.

The question is:

Given a vector in R^k, what is the measure of the set of vectors whose components are rationally dependent?

Rationally dependent means for a given vector, you may find a vector with rational coefficients such that their inner product is 0.

(1/2,1/3,1/6) is RD because of (2,3,-12), for example.

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# Rational Dependence

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