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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

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Inequality involving product-of-minus vs minus-of-product for positive integers

I'm encountering this inequality for dimensionality reduction problem. The simplified form looks as follows: Consider positive integers $a_1$, $a_2$, $b_1$ and $b_2$ where $a_1>b_1$ and $a_2>b_2$. Pr …
Piccadilly Dough's user avatar