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Tag Archives: Test your intuition
TYI44: “What Then, To Raise an Old Question, is Mathematics?”
“The argument is carried out not in mathematical symbols but in ordinary English, there is no obscure or technical terms. Knowledge of calculus is not presupposed. In fact, one hardly need to know how to count. Yet any mathematician will … Continue reading
Posted in Test your intuition, What is Mathematics
Tagged Test your intuition, What is Mathematics
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Test your intuition 43: Distribution According to Areas in Top Departments.
In the community of mamathetitians in a certain country there are mamathetitians in two areas: Anabra (fraction p of the mamathetitians) and Algasis (fraction 1-p of mamathetitians.) There are ten universities with 50 faculty members in each mamathetics department … Continue reading
Posted in Combinatorics, Open problems, Probability, Test your intuition
Tagged Test your intuition
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Test Your Intuition 42: How Much do you Gain by Knowing The Game You Play?
There are two players – the row player and the column player and there are two possible zero-sum games described in the picture below. For each of these games the row players has two strategies T (top) and Bottom (B) … Continue reading
Posted in Games, Test your intuition
Tagged Michael Maschler, Robert Aumann, Shmuel Zamir, Test your intuition
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TYI 41: How many steps does it take for a simple random walk on the discrete cube to reach the uniform distribution?
Aeiel Yadin’s homepage contains great lecture notes on harmonic functions on groups and on various other topics. I have a lot of things to discuss and to report; exciting developments in the analysis of Boolean functions; much to report on … Continue reading
Posted in Combinatorics, Probability, Test your intuition
Tagged discrete cube, random walk, Test your intuition
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Test Your Intuition 40: What Are We Celebrating on Sept, 28, 2019? (And answer to TYI39.)
Update: We are celebrating 10 years anniversary to Mathoverflow Domotorp got the answer right. congratulations, Domotorp! To all our readers: Shana Tova Umetuka – שנה טובה ומתוקה – Happy and sweet (Jewish) new year.
Posted in Test your intuition, What is Mathematics
Tagged Mathoverflow, Test your intuition
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TYI 39 : Can a coalition of children guarantees all being in the same class?
There is a class of children that have just finished elementary school. Now they all move from elementary school to high school and classes are reshuffled. Each child lists three friends, and the assignment of children into classes ensures that … Continue reading
Posted in Combinatorics, Economics, Mathematics to the rescue, Test your intuition
Tagged Test your intuition
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Test Your Intuition (or simply guess) 37: Arithmetic Progressions for Brownian Motion in Space
Consider a Brownian motion in three dimensional space. What is the largest number of points on the path described by the motion which form an arithmetic progression? (Namely, , so that all are equal.) A 2-D picture; In … Continue reading
Test Your Intuition (or knowledge, or programming skills) 36
How much is The product ranges over all primes. In other words, Just heard it from Avinoam Mann.
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 x-axis) with velocity 1 and B moves … Continue reading
Test Your Intuition (34): Tiling high dimensional spaces with two-dimensional 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
