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 behave “nicely”, which often means “show that a random variable is not too far away from its mean”, or at least “show that is not too large”. … More The useful Paley-Zygmund 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 inequality in probability theory, which states that most of the time, a random variable can’t be too far away from its mean: This inequality is very important … More The useful Chebyshev sum 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), it reads as follows. Theorem (Weierstrass): Let be a sequence of numbers. Then Proof: Here is a simple proof by induction. For , we just … More The useful Weierstrass inequality
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 local copy). At the time of writing, it is a 3-page document, containing the gist and main formulation of some of … More The useful inequalities cheat-sheet
This is a queasy post. It should make you feel good, because you will hear fantastic music, but it should also make you feel bad, because you’ll see sexist comments. You can’t avoid the comments, really. They’re in deep. For this is a current fact of life: when a woman gives a technical, professional, or … More They still do it
Did you know? Women are underrepresented in mathematics and science oriented faculties in Israel. In fact, to say “women are underrepresented” is a HUGE underrepresentation of how few women there are. For example, in the Technion’s mathematics faculty, you can count the number of female members on three fingers, but the total faculty member count … More Untraining your bias
Sarcastic Resonance 