๐Ÿงฎ Brain Teaser

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28 problems
#Problemโœ“
28Fundamental Group of the Circle Is โ„คโ—‹
27Integral of a Max with a Circleโ—‹
26Dini's Theorem: When Pointwise Becomes Uniformโ—‹
25An Impossible Integer Polynomialโ—‹
24Entire Function with Non-Negative Real Partโ—‹
23The Topologist's Sine Curveโ—‹
22The Cantor Set: Measure Zero yet Uncountableโ—‹
21Why LASSO Gives Sparsity but Ridge Does Notโ—‹
20Continuous but Nowhere Differentiableโ—‹
19Integral of (x-1)ยฒ/(2eหฃ+xยฒ+1)โ—‹
18Consecutive Subsum Divisible by nโ—‹
17Orthogonality to All Monomials Forces Zeroโ—‹
16Stein's Paradoxโ—‹
15Integral of xยฒ sin(x)โ—‹
14No Function with f(f(n)) = n + 2025โ—‹
13Truncated Exponential Has No Repeated Rootsโ—‹
12FTA via Liouville's Theoremโ—‹
11Curvature of an Embedded Torusโ—‹
10The Hat Check Problemโ—‹
9Bertrand's Chord Paradoxโ—‹
8Integral of a Geometric Seriesโ—‹
7Polynomial with No Integer Rootsโ—‹
6Harmonic Series Is Never an Integerโ—‹
5The Schwarz Lemmaโ—‹
4Parallel Transport on a Sphereโ—‹
3Expected Number of Recordsโ—‹
2Bertrand's Ballot Problemโ—‹
1Lp Norm โ†’ Lโˆžโ—‹