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- Many triangulated three-spheres!
- NatiFest is Coming
- More around Borsuk
- Analysis of Boolean Functions – Week 7
- Analysis of Boolean Functions week 5 and 6
- Real Analysis Introductory Mini-courses at Simons Institute
- Analysis of Boolean Functions – week 4
- Polymath 8 – a Success!
- Analysis of Boolean Functions – Week 3
Top Posts & Pages
- NatiFest is Coming
- Polymath 8 - a Success!
- Analysis of Boolean Functions
- The Kadison-Singer Conjecture has beed Proved by Adam Marcus, Dan Spielman, and Nikhil Srivastava
- Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
- Believing that the Earth is Round When it Matters
- 'Gina Says'
- Why is Mathematics Possible: Tim Gowers's Take on the Matter
- Auction-based Tic Tac Toe: Solution
Monthly Archives: May 2009
The Bayesian approach to the philosophy of science was developed in the first half of the twentieth century. Karl Popper and Thomas Kuhn are twentieth-century philosophers of science who later proposed alternative approaches. It will be convenient to start with … Continue reading
סדנא לתלמידי בוגר מצטיינים במתמטיקה מכון איינשטיין למתמטיקה, האוניברסיטה העברית בירושלים יום א’ י”ז אלול – יום ה’ כ”ח אלול תשס”ט 6-17/9/09 המכון למתמטיקה של האוניברסיטה העברית מזמין תלמידי מתמטיקה מצטיינים המסיימים שנה ב’ או ג’ של … Continue reading
Question: 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 . Answer: Taking to be all points in the solid … Continue reading
Ulam was scheduled to give a talk at the University of Chicago titled “The future of mathematics.” Stanislaw Ulam was a rather famous mathematician and a major player in building the H-bomb, so a large audience gathered.
The problem Problem: Let be a measurable subset of the -dimensional sphere . Suppose that does not contain two orthogonal vectors. How large can the -dimensional volume of be? A Conjecture Conjecture: The maximum volume is attained by two … Continue reading
Rick Wilson The Frankl-Wilson theorem is a remarkable theorem with many amazing applications. It has several proofs, all based on linear algebra methods (also referred to as dimension arguments). The original proof is based on a careful study of incidence … Continue reading
It is very hectic around here and on top of the eight or so regular research seminars at math (and quite a few more at CS) we have many visitors as school terms at the US are over. A week … Continue reading
Update: This is a third of three posts (part I, part II) proposing some extensions of the cap set problem and some connections with the Frankl Rodl theorem. Here is a post presenting the problem on Terry Tao’s blog (March 2007). Here … Continue reading
This post is authored by Ehud Friedgut. Congratulations to Keren, Ehud and Michal for the birth of Shiri and Hillel! Murphy’s law of breastfeeding twins, like all of Murphy’s laws, is supported by strong empirical evidence. The twins’ feeding rhythm … Continue reading
Yaacov Levitzki The purpose of this post is to describe the Amitsur-Levitzki theorem: It is meant for people who are not necessarily mathematicians. Yet they need to know two things. The first is what matrices are. Very briefly, matrices are rectangular arrays … Continue reading