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 What is mathematics (or at least, how it feels)
 Alef’s Corner
 To cheer you up in difficult times 22: some mathematical news! (Part 1)
 Cheerful News in Difficult Times: The Abel Prize is Awarded to László Lovász and Avi Wigderson
 Amazing: Feng Pan and Pan Zhang Announced a Way to “Spoof” (Classically Simulate) the Google’s Quantum Supremacy Circuit!
 To cheer you up in difficult times 21: Giles Gardam lecture and new result on Kaplansky’s conjectures
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 At the Movies III: Picture a Scientist
 At the Movies II: Kobi Mizrahi’s short movie White Eye makes it to the Oscar’s short list.
Top Posts & Pages
 To cheer you up in difficult times 21: Giles Gardam lecture and new result on Kaplansky's conjectures
 Cheerful News in Difficult Times: The Abel Prize is Awarded to László Lovász and Avi Wigderson
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 TYI 30: Expected number of Dice throws
 János Pach: Guth and Katz's Solution of Erdős's Distinct Distances Problem
 What is mathematics (or at least, how it feels)
 Extremal Combinatorics VI: The FranklWilson Theorem
 Amazing: Feng Pan and Pan Zhang Announced a Way to "Spoof" (Classically Simulate) the Google's Quantum Supremacy Circuit!
 Ringel Conjecture, Solved! Congratulations to Richard Montgomery, Alexey Pokrovskiy, and Benny Sudakov
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Tag Archives: Test your intuition
Test Your Intuition 35: What is the Limiting Distance?
(Just heard it today from Sergiu Hart.) At time t=0, point A is at the origin (0,0) and point B is distance 1 appart at (0,1). A moves to the right (on the xaxis) with velocity 1 and B moves … Continue reading
Test Your Intuition (34): Tiling high dimensional spaces with twodimensional tiles.
A tile is a finite subset of . We can ask if can or cannot be partitioned into copies of . If can be partitioned into copies of we say that tiles . Here is a simpe example. Let consists of … Continue reading
Stan Wagon, TYI 32: Ladies and Gentlemen: The Answer
TYI 32, kindly offered by Stan Wagon asked A round cake has icing on the top but not the bottom. Cut out a piece in the usual shape (a sector of a circle with vertex at the center), remove it, … Continue reading
Posted in Combinatorics, Geometry, Test your intuition
Tagged Stan Wagon, Test your intuition
8 Comments
Ladies and Gentlemen, Stan Wagon: TYI 32 – A Cake Problem.
The following post was kindly contributed by Stan Wagon. Stan (Wikipedea) is famous for his books, papers, snowsculptures, and squarewheels bicycles (see picture below) ! A round cake has icing on the top but not the bottom. Cut out a … Continue reading
Posted in Combinatorics, Guest blogger, Test your intuition
Tagged Guest blogger, Stan Wagon, Test your intuition
8 Comments
TYI 31 – Rados Radoicic’s Rope Problem
Ropemaker (source) Rados Radoicic wrote me: “Several years back, I heard the following puzzle that turns out to be rather ‘classical’: “There are N ropes in a bag. In each step, two rope ends are picked uniformly at random, tied … Continue reading
Posted in Combinatorics, Probability, Test your intuition
Tagged Rados Radoicic, Test your intuition
7 Comments
TYI 30: Expected number of Dice throws
Test your intuition: You throw a dice until you get 6. What is the expected number of throws (including the throw giving 6) conditioned on the event that all throws gave even numbers. followup post
Posted in Combinatorics, Probability, Test your intuition
Tagged Elchanan Mossel, Test your intuition
43 Comments
Test your intuition 29: Diameter of various random trees
Both trees in general and random trees in particular are wonderful objects. And there is nothing more appropriate to celebrate Russ Lyons great birthday conference “Elegance in Probability” (taking place now in Tel Aviv) than to test your intuition, dear … Continue reading
Posted in Combinatorics, Probability, Test your intuition
Tagged Russ Lyons, Test your intuition
19 Comments
TYI 26: Attaining the Maximum
(Thanks, Dani!) Given a random sequence , ******, , let . and assume that . What is the probability that the maximum value of is attained only for a single value of ? Test your intuition: is this probability bounded … Continue reading
TYI 25: The Automorphism Group of the Symmetric Group
True or False: The group of automorphisms of the symmetric group , n ≥ 3 is itself.
Test your intuition 24: Which of the following three groups is trivial
Martin Bridson We have three finitely presented groups A is generated by two generators a and b and one relation B is generated by three generators a, b, c and three relations , . C is generated by four generators a, b, c, d … Continue reading