Recent Comments

Recent Posts
 A lecture by Noga
 Ehud Friedgut: Blissful ignorance and the KahnemanTversky paradox
 In And Around Combinatorics: The 18th Midrasha Mathematicae. Jerusalem, JANUARY 1831
 Mathematical Gymnastics
 Media Item from “Haaretz” Today: “For the first time ever…”
 Jim Geelen, Bert Gerards, and Geoﬀ Whittle Solved Rota’s Conjecture on Matroids
 Media items on David, Amnon, and Nathan
 Next Week in Jerusalem: Special Day on Quantum PCP, Quantum Codes, Simplicial Complexes and Locally Testable Codes
 Happy Birthday Ervin, János, Péter, and Zoli!
Top Posts & Pages
 יופיה של המתמטיקה
 The KadisonSinger Conjecture has beed Proved by Adam Marcus, Dan Spielman, and Nikhil Srivastava
 Believing that the Earth is Round When it Matters
 Ehud Friedgut: Blissful ignorance and the KahnemanTversky paradox
 The Combinatorics of Cocycles and Borsuk's Problem.
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 New Ramanujan Graphs!
 Happy Birthday Ervin, János, Péter, and Zoli!
 Why Quantum Computers Cannot Work: The Movie!
RSS
Category Archives: Test your intuition
Itai Ashlagi, Yashodhan Kanoria, and Jacob Leshno: What a Difference an Additional Man makes?
We are considering the stable marriage theorem. Suppose that there are n men and n women. If the preferences are random and men are proposing, what is the likely average women’s rank of their husbands, and what is the likely average … Continue reading
Test Your Intuition (19): The Advantage of the Proposers in the Stable Matching Algorithm
Stable mariage The GaleShapley stable matching theorem and the algorithm. GALESHAPLEY THEOREM Consider a society of n men and n women and suppose that every man [and every woman] have a preference (linear) relation on the women [men] he [she] knows. Then … Continue reading
Test Your Intuition (18): How many balls will be left when only one color remains?
(Thanks to Itai Benjamini and Ronen Eldan.) Test (quickly) your intuition: You have a box with n red balls and n blue balls. You take out balls one by one at random until left only with balls of the same … Continue reading
Posted in Probability, Test your intuition
25 Comments
Test Your Intuition (17): What does it Take to Win TicTacToe
(A few more quantum posts are coming. But let’s have a quick break for games.) Tic Tac Toe is played since anciant times. For the common version, where the two players X and O take turns in marking the empty squares … Continue reading
What does “beyond a reasonable doubt” practically mean?
(Motivated by two questions from Gowers’s How should mathematics be taught to non mathematicians.)
Posted in Law, Probability, Test your intuition
18 Comments
Test Your Intuition (16): Euclid’s Number Theory Theorems
Euclid’s Euclid’s book IX on number theory contains 36 propositions. The 36th proposition is: Proposition 36.If as many numbers as we please beginning from a unit are set out continuously in double proportion until the sum of all becomes prime, … Continue reading
Posted in Algebra and Number Theory, Test your intuition
Tagged Euclid, Greek mathematics
16 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
19 Comments
Discrepancy, The BeckFiala 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