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Recent Posts
- The Trifference Problem
- Greatest Hits 2015-2022, Part II
- Greatest Hits 2015-2022, Part I
- Tel Aviv University Theory Fest is Starting Tomorrow
- Alef’s Corner
- A Nice Example Related to the Frankl Conjecture
- Amazing: Justin Gilmer gave a constant lower bound for the union-closed sets conjecture
- Barnabás Janzer: Rotation inside convex Kakeya sets
- Inaugural address at the Hungarian Academy of Science: The Quantum Computer – A Miracle or Mirage
Top Posts & Pages
- Amazing: Justin Gilmer gave a constant lower bound for the union-closed sets conjecture
- Amazing: Jinyoung Park and Huy Tuan Pham settled the expectation threshold conjecture!
- 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: January 2009
Mathematics, Science, and Blogs
Michael Nielsen wrote a lovely essay entitled “Doing science online” about mathematics, science, and blogs. Michael’s primary example is a post over Terry Tao’s blog about the Navier-Stokes equation and he suggests blogs as a way of scaling up scientific conversation. Michael is writing … Continue reading
Posted in Blogging, What is Mathematics
Tagged Blogs, Michael Nielsen, Open science, polymath1, Tim Gowers
5 Comments
Test Your Intuition (3)
Let be the -dimensional cube. Turn into a torus by identifying opposite facets. What is the minumum -dimensional volume of a subset of which intersects every non-trivial cycle in .
News
I just saw in “Shtetl Optimized” that the Linial-Nisan conjecture regarding circuits have been proved by Mark Braverman. Scott’s post describes the conjecture as well as related open problems in computational complexity. (Scott offers $100 for a proof that Fourier … Continue reading
Posted in Computer Science and Optimization
4 Comments
Noise
What is the correct picture of our world? Are noise and errors part of the essence of matters, and the beautiful perfect patterns we see around us, as well as the notions of information and computation, are just derived concepts … Continue reading
Posted in Philosophy
7 Comments
IPAM Fall 2009
Combinatorics: Methods and Applications in Mathematics and Computer Science September 8 – December 11, 2009 Scientific overview: Combinatorics is a fundamental mathematical discipline as well as an essential component of many mathematical areas. It studies discrete objects and their properties. … Continue reading
Posted in Conferences, Updates
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Telling a Simple Polytope From its Graph
Peter Mani (a photograph by Emo Welzl) Simple polytopes, puzzles Micha A. Perles conjectured in the ’70s that the graph of a simple -polytope determines the entire combinatorial structure of the polytope. This conjecture was proved in 1987 by Blind … Continue reading
Posted in Convex polytopes, Open problems
Tagged Eric Friedman, Peter Mani, Roswitta Blind
9 Comments
The Retaliation Game
We have two players playing in turns. Each player can decide to stop in which case the game is stopped and the two players can go on with their lives, or to act. The player that acts gains and … Continue reading
Links and Comments
The link L10n74 (click on the picture to see L10n74’s Braid representation, its Morse link presentation, its Alexander and Jones polynomials, its Khovanov homology, and more, much more.) Here are some links and further comments regarding the last four posts. (Mainly … Continue reading