Let g1, g2, ..., gm be linear functionals on n. For fixed numbers c1, c2,..., cm, the

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Let g1, g2, ..., gm be linear functionals on „œn. For fixed numbers c1, c2,..., cm, the system of inequalities
gj(x) ‰¥ cj, j = 1, 2,..., m (31)
is consistent for some x ˆˆ „œn if and only if
Ξ

implies that

Let g1, g2, ..., gm be linear functionals on „œn.

for every set of nonnegative numbers λ1, λ2,..., λm.

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