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Recent Posts
- Questions and Concerns About Google’s Quantum Supremacy Claim
- Physics Related News: Israel Joining CERN, Pugwash and Global Zero, The Replication Crisis, and MAX the Damon.
- Test your intuition 52: Can you predict the ratios of ones?
- Amnon Shashua’s lecture at Reichman University: A Deep Dive into LLMs and their Future Impact.
- Mathematics (mainly combinatorics) related matters: A lot of activity.
- Alef Corner: Deep Learning 2020, 2030, 2040
- Some Problems
- Critical Times in Israel: Last Night’s Demonstrations
- An Aperiodic Monotile
Top Posts & Pages
- Questions and Concerns About Google’s Quantum Supremacy Claim
- An Aperiodic Monotile
- Test your intuition 52: Can you predict the ratios of ones?
- A Mysterious Duality Relation for 4-dimensional Polytopes.
- TYI 30: Expected number of Dice throws
- The Simplex, the Cyclic polytope, the Positroidron, the Amplituhedron, and Beyond
- A Nice Example Related to the Frankl Conjecture
- Quantum Computers: A Brief Assessment of Progress in the Past Decade
- Amy Triumphs* at the Shtetl
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Monthly Archives: August 2011
Alantha Newman and Alexandar Nikolov Disprove Beck’s 3-Permutations Conjecture
Alantha Newman and Alexandar Nikolov disproved a few months ago one of the most famous and frustrating open problem in discrepancy theory: Beck’s 3-permutations conjecture. Their paper A counterexample to Beck’s conjecture on the discrepancy of three permutations is already on … Continue reading
Discrepancy, The Beck-Fiala Theorem, and the Answer to “Test Your Intuition (14)”
The Question Suppose that you want to send a message so that it will reach all vertices of the discrete -dimensional cube. At each time unit (or round) you can send the message to one vertex. When a vertex gets the … Continue reading
Test Your Intuition (14): A Discrete Transmission Problem
Recall that the -dimensional discrete cube is the set of all binary vectors ( vectors) of length n. We say that two binary vectors are adjacent if they differ in precisely one coordinate. (In other words, their Hamming distance is 1.) This … Continue reading