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Why am I concluding that Mr. Romney would have chosen Mr. Ryan only if he felt he was losing?
If ∑ i = 1 n p i x i = c is any convex combination from ℐ with the center at c, then using the affinity of f { c } line, it follows that f ( ∑ i = 1 n p i x i ) = f { c } line ( ∑ i = 1 n p i x i ) = ∑ i = 1 n p i f { c } line ( x i ) ≤ ∑ i = 1 n p i f ( x i ), concluding the proof in the case that the line is below the curve.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com