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The useful inequalities cheat-sheet

It has recently come to my attention that not every living being in the world knows the famous “Useful Inequalities” cheat-sheet, produced by László Kozma and available from his website (or here for a...

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The useful Weierstrass inequality

This is post #1 in the series about the “Useful Inequalities” cheat-sheet. Today’s useful inequality: The Weierstrass inequality. In its most basic form (simpler than what appears in the cheat-sheet),...

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You only need one

Oh! The places you’ll go! You’ll be on your way up!You’ll be seeing great sights!You’ll join the high flierswho soar to high heights. You won’t lag behind, because you’ll have the speed.You’ll pass the...

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The useful Chebyshev sum inequality

This is post #2 in the series about the “Useful Inequalities” cheat-sheet. Today’s useful inequality: Chebyshev’s sum inequality. Almost everyone I know is familiar with the famous Chebyshev’s...

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The useful Paley-Zygmund inequality

This is post #3 in the series about the “Useful Inequalities” cheat-sheet. Today’s inequality: The Paley-Zygmund inequality. A large portion of probability theory involves showing that random variables...

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How convenient!

It’s 07:00 in the morning. Having just gotten out of bed, you already poured yourself some breakfast cereal into the bowl, when you come to the most horrifying realization: you’re fresh out of milk....

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New paper on arXiv: A sharp lower bound on the eigenvalues of surfaces

I’m happy to say that my postdoc advisor Asaf Nachmias, his student Guy Lachman and I have recently uploaded a paper to the arXiv under the title “A sharp lower bound on the eigenvalues of surfaces”...

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The seasons

When I was a kid, I learned about the seasons. Autumn, winter, spring, and summer, repeating in an endless cycle.  Autumn, I must admit, I didn’t much notice. But in winter it rained, and sometimes...

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G(n,p) does not decay

A well-used door needs no oil on its hinges.A swift-flowing stream does not grow stagnant.A deer blends perfectly into the forest colors.Software rots if not used. These are great mysteries. The Tao of...

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You may also like

Recently, I have been watching the Harry Potter movies on Netflix. After the first three, the program already learned what I’m doing, and started suggesting the next one in the series as soon as I...

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