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 Alexander A. Gaifullin: Many 27vertex Triangulations of Manifolds Like the Octonionic Projective Plane (Not Even One Was Known Before).
 Answer to Test Your Intuition 50: Detecting a Deviator
 To cheer you up in difficult times 36: The Immense Joy of Fake Reverse Parking
 Ordinary computers can beat Google’s quantum computer after all
 Test Your Intuition 50. TwoPlayer Random Walk; Can You Detect Who Did Not Follow the Rules?
 ICM 2022. Kevin Buzzard: The Rise of Formalism in Mathematics
 ICM 2022: Langlands Day
 ICM 2022 awarding ceremonies (1)
 ICM 2022 Virtual Program, Live events, and Dynamics Week in Jerusalem
Top Posts & Pages
 Elchanan Mossel's Amazing Dice Paradox (your answers to TYI 30)
 TYI 30: Expected number of Dice throws
 ICM 2022. Kevin Buzzard: The Rise of Formalism in Mathematics
 Amazing: Hao Huang Proved the Sensitivity Conjecture!
 How Large can a Spherical Set Without Two Orthogonal Vectors Be?
 Amazing: Karim Adiprasito proved the gconjecture for spheres!
 Jim Geelen, Bert Gerards, and Geoﬀ Whittle Solved Rota's Conjecture on Matroids
 To cheer you up in difficult times 34: Ringel Circle Problem solved by James Davies, Chaya Keller, Linda Kleist, Shakhar Smorodinsky, and Bartosz Walczak
 A sensation in the morning news  Yaroslav Shitov: Counterexamples to Hedetniemi's conjecture.
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Category Archives: Statistics
Test Your Intuition (46): What is the Reason for Maine’s Huge Influence?
Very quick updates: Corona: Israel is struggling with the pandemic with some successes, some failures, and much debate. Peace: We have peace agreements now with several Arab countries, most recently with Sudan. This is quite stunning. Internal politics: As divided … Continue reading
Posted in Games, Probability, Statistics, Test your intuition
Tagged Nate Silver, Test your intuition
6 Comments
Cheerful Test Your Intuition (#45): Survey About Sisters and Brothers
You survey many many school children and ask each one: Do you have more brothers than sisters? or more sisters than brothers? or the same number? Then you separate the boys’s answers from the girls’s answers Which of the following … Continue reading
Posted in Combinatorics, Probability, Riddles, Statistics, Test your intuition
Tagged Test your intuition
7 Comments
Quantum Matters
A comparison between the Google estimator U for the fidelity and two improved estimators that we studied MLE (maximum likelihood estimator) and V (a variant of U). (More figures at the end of the post.) Here are some links on … Continue reading
The story of Poincaré and his friend the baker
Update: After the embargo update (Oct 25): Now that I have some answers from the people involved let me make a quick update: 1) I still find the paper unconvincing, specifically, the few verifiable experiments (namely experiments that can be … Continue reading
Posted in Combinatorics, Computer Science and Optimization, Probability, Quantum, Statistics
Tagged Google, Henri Poincaré, quantum supremacy
27 Comments
Test Your Intuition (15): Which Experiment is More Convincing
Consider the following two scenarios (1) An experiment tests the effect of a new medicine on people which have a certain illness. The conclusion of the experiment is that for 5% of the people tested the medication led to improvement while for … Continue reading
Posted in Statistics, Test your intuition
21 Comments
Answer to Test Your Intuition (9)
Two experimental results of 10/100 and 15/100 are not equivalent to one experiment with outcomes 3/200. (Here is a link to the original post.) One way to see it is to think about 100 experiments. The outcomes under the null … Continue reading
Test Your Intuition (9)
Click on the picture if you wish to read about the “Mars effect” A) You want to test the theory that people who were born close to noon on July 7 are unusually tall. You choose randomly 100 Norwegian men over 25 years old and discover … Continue reading
Posted in Statistics
5 Comments