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- Amazing: Justin Gilmer gave a constant lower bound for the union-closed sets conjecture
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- Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
- Quantum Computers: A Brief Assessment of Progress in the Past Decade
- A Nice Example Related to the Frankl Conjecture
- The Trifference Problem
- Aubrey de Grey: The chromatic number of the plane is at least 5
- Sarkaria's Proof of Tverberg's Theorem 1
- Amazing: Karim Adiprasito proved the g-conjecture for spheres!
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Monthly Archives: June 2009
Test Your Intuition (6)
This is not as clear cut a question as the earlier ones, and if you do not know an answer then it will be difficult to figure one out just based on intuition. (But perhaps possible). If you are intrigued by … Continue reading
Praise For ‘Gina says’
Praise for: ” ‘Gina Says,’ Adventures in the Blogsphere String War (Below the dividing line: Greg Kuperberg, Scott Aaronson, Clifford Johnson, Peter Woit, Motty Perry, Caterina Calsamiglia, Yuval Peres, Eva Illouz, and (right from the comment section) Luca Trevisan, Thomas … Continue reading
Posted in Book review, Gina Says
11 Comments
My Book: “Gina Says,” Adventures in the Blogosphere String War
Update (November 2017): I received an advanced copy. How exciting! Update (October 2017): The much changed version of the book with beautiful drawing by my daughter Neta Kalai is soon to appear in print. It is published by World Scientific. Here … Continue reading
Posted in Blogging, Gina Says
36 Comments
Borsuk’s Conjecture
Karol Borsuk conjectured in 1933 that every bounded set in can be covered by sets of smaller diameter. Jeff Kahn and I found a counterexample in 1993. It is based on the Frankl-Wilson theorem. Let be the set of vectors of length . … Continue reading
Banknotes with Pictures of Mathematicians
Are you aware of any? (current ones? old ones?)
Posted in Uncategorized
12 Comments
Test Your Intuition (5)
(Not such a set) consider a planar set A with the following property. In every direction, the distance between the two parallel lines that touch A from both sides is the same! Must A be a circle?
Answer To Test Your Intuition (4)
Let G be a graph and u and v two vertices. (1) Let H be a random graph where every edge of G is chosen with probability ½. Let p be the probability that there is a path between u … Continue reading
Test Your Intuition (4)
Let G be a graph and u and v two vertices. (1) Let H be a random graph where every edge of G is chosen with probability ½. Let p be the probability that there is a path between u … Continue reading
Posted in Probability
18 Comments