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Let a1, a2, ..., am, and b ¹ 0 be elements of Rn. Suppose that bT x ³ 0 for all x Î Rn such that (ai)T x ³ 0, i = 1, 2, ..., m. Then, there exists l i ³ 0, i = 1, 2, ..., m, (l 1, l 2, ..., l m) ¹ 0, such that b = l i ai.
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