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Recent Posts
 Some Mathematical Puzzles that I encountered during my career
 Friendship and Sesame, Maryam and Marina, Israel and Iran
 Elchanan Mossel’s Amazing Dice Paradox (your answers to TYI 30)
 TYI 30: Expected number of Dice throws
 Test your intuition 29: Diameter of various random trees
 Micha Perles’ Geometric Proof of the ErdosSos Conjecture for Caterpillars
 Touching Simplices and Polytopes: Perles’ argument
 Where were we?
 Call for nominations for the Ostrowski Prize 2017
Top Posts & Pages
 Some Mathematical Puzzles that I encountered during my career
 Elchanan Mossel's Amazing Dice Paradox (your answers to TYI 30)
 Friendship and Sesame, Maryam and Marina, Israel and Iran
 TYI 30: Expected number of Dice throws
 Test your intuition 29: Diameter of various random trees
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 The Race to Quantum Technologies and Quantum Computers (Useful Links)
 A Breakthrough by Maryna Viazovska Leading to the Long Awaited Solutions for the Densest Packing Problem in Dimensions 8 and 24
 R(5,5) ≤ 48
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Monthly Archives: May 2009
Some Philosophy of Science
The Bayesian approach to the philosophy of science was developed in the first half of the twentieth century. Karl Popper and Thomas Kuhn are twentiethcentury philosophers of science who later proposed alternative approaches. It will be convenient to start with … Continue reading
Posted in Philosophy, Probability
14 Comments
A Workshop for Advanced Undergraduate Students, Sept 617 2009
סדנא לתלמידי בוגר מצטיינים במתמטיקה מכון איינשטיין למתמטיקה, האוניברסיטה העברית בירושלים יום א’ י”ז אלול – יום ה’ כ”ח אלול תשס”ט 617/9/09 המכון למתמטיקה של האוניברסיטה העברית מזמין תלמידי מתמטיקה מצטיינים המסיימים שנה ב’ או ג’ של לימודיהם במוסדות להשכלה … Continue reading
Answer to Test Your Intuition (3)
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 nontrivial cycle in . Answer: Taking to be all points in the solid … Continue reading
How Large can a Spherical Set Without Two Orthogonal Vectors Be?
The problem Witsenhausen’s Problem (1974): 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 … Continue reading
Posted in Open problems
4 Comments
Extremal Combinatorics VI: The FranklWilson Theorem
Rick Wilson The FranklWilson 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
Recent and Future Excitements
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
Posted in Updates
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The CapSet Problem and FranklRodl Theorem (C)
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
Posted in Combinatorics, Open problems
Tagged Cap sets, FranklRodl theorem, polymath1
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Ehud Friedgut: Murphy’s Law of Breastfeeding Twins
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
Posted in Guest blogger
9 Comments
The AmitsurLevitzki Theorem for a Non Mathematician.
Yaacov Levitzki The purpose of this post is to describe the AmitsurLevitzki 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
Posted in Algebra and Number Theory
Tagged Alex Levitzki. Yaacov Levitzki, Shimshon Amitsur
8 Comments