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The arithmetic-geometric mean inequality is the most famous elementary inequality in math. The inequality compares two kinds of averages, and the picture below is a visual explanation of the simplest case of it: ½(a + b) ≥ (ab)1/2. Anyone interested in mathematics should know the arithmetic-geometric mean inequality, so if you don't then come to this talk! Even if you already know it, you will learn something new about it.
We will work through a proof of the arithmetic-geometric mean inequality and then describe some of its applications in geometry, algebra, and analysis. |
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