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Homogeneous

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A function f(a_1,a_2,\ldots,a_n) is said to be homogeneous if all its terms are of the same degree in a_i.

This concept of homogeneity is often used in inequalities so that one can "scale" the terms (this is possible because f(ta_1,ta_2,\ldots,ta_n)=t^kf(a_1,a_2,\ldots,a_n) for some fixed k), and assume things like the sum of the involved variables is 1.

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