Weakly Independent

An infinite sequence {a_i} of positive integers is called weakly independent if any relation sumepsilon_ia_i with epsilon_i=0 or +/-1 and epsilon_i=0, except finitely often, implies epsilon_i=0 for all i.

See also

Strongly Independent

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Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 136, 1994.

Referenced on Wolfram|Alpha

Weakly Independent

Cite this as:

Weisstein, Eric W. "Weakly Independent." From MathWorld--A Wolfram Web Resource.

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