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 AlexFest: 60 Faces of Groups
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 AviFest, AviStories and Amazing Cash Prizes.
 Polymath 10 post 6: The ErdosRado sunflower conjecture, and the Turan (4,3) problem: homological approaches.
 Polymath 10 Emergency Post 5: The ErdosSzemeredi Sunflower Conjecture is Now Proven.
 Mind Boggling: Following the work of Croot, Lev, and Pach, Jordan Ellenberg settled the cap set problem!
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 The Erdős Szekeres polygon problem – Solved asymptotically by Andrew Suk.
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 The Simplex, the Cyclic polytope, the Positroidron, the Amplituhedron, and Beyond
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 A Breakthrough by Maryna Viazovska Leading to the Long Awaited Solutions for the Densest Packing Problem in Dimensions 8 and 24
 Believing that the Earth is Round When it Matters
 Mind Boggling: Following the work of Croot, Lev, and Pach, Jordan Ellenberg settled the cap set problem!
 From Oberwolfach: The Topological Tverberg Conjecture is False
 AlexFest: 60 Faces of Groups
 In how many ways you can chose a committee of three students from a class of ten students?
 Sarkaria's Proof of Tverberg's Theorem 1
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Monthly Archives: February 2010
Test Your Intuition (11): Is it Rational to Insure a Toaster
Here is a question from last year’s exam in the course “Basic Ideas of Mathematics”: You buy a toaster for 200 NIS ($50) and you are offered one year of insurance for 24 NIS ($6). a) Is it … Continue reading
Posted in Probability, Rationality, Teaching, Test your intuition
Tagged Insurance, Test your intuition
18 Comments
The Beauty of Mathematics
This semester I am teaching an introductory course in mathematics for students in other departments. I taught a similar course last year entitled “Basic Ideas in Mathematics,” and this year, following a suggestion of my wife, I changed the name to “The Beauty of Mathematics”. Another … Continue reading
Posted in Teaching
26 Comments
Nerves of Convex Sets – A Recent Result by Martin Tancer
Martin Tancer recently found a very beautiful proof that finite projective planes can’t be represented by convex sets in any fixed dimension. This was asked in the paper entitled “Transversal numbers for hypergraphs arising in geometry” by Noga Alon, Gil … Continue reading
Posted in Convexity
2 Comments
Itamar Pitowsky: Probability in Physics, Where does it Come From?
I came across a videotaped lecture by Itamar Pitowsky given at PITP some years ago on the question of probability in physics that we discussed in two earlier posts on randomness in nature (I, II). There are links below to … Continue reading
Posted in Obituary, Philosophy, Physics, Probability
Tagged Itamar Pitowsky, Philosophy of science, Physics, Probability
1 Comment
Noise Stability and Threshold Circuits
The purpose of this post is to describe an old conjecture (or guesses, see this post) by Itai Benjamini, Oded Schramm and myself (taken from this paper) on noise stability of threshold functions. I will start by formulating the conjectures and … Continue reading
Anat Lotan: Who is Gina II, My Own Shocking Revelation
Who’s Gina? (Part 2): My Own Shocking Revelation By: Anat Lotan It was one of those typically hot Israeli endofAugust days; a scorching summer morning, where you have to convince yourself that the cool breezes of autumn are just around … Continue reading
Anat Lotan: Who is Gina I
Several people asked me to explain who is Gina, the hero of my book “Gina says: Adventures in the Blogosphere String War.” There was a chapter written by Anat Lotan about who Gina is. And in view of the … Continue reading
A Discrepancy Problem for Planar Configurations
Yaacov Kupitz and Micha A. Perles asked: What is the smallest number C such that for every configuration of n points in the plane there is a line containing two or more points from the configuration for which the difference between the … Continue reading