# Hat Man

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reputation
21144
bio website binarybeta.blogspot.com location Impossible to predict my exact location and momentum$\large\Delta x\times\Delta p\ge\frac{h}{4\pi}$ age 19 member for 1 year, 10 months seen 28 mins ago profile views 694

The Hat Man is an entity that lurks in the darkness. Sighted all over the world for centuries, no one really seems to know who, or what he is. This documentary attempts to explain The Hat Man, and furthermore what his motives are. Source.

By the way, I blog on very elementary things (things that I'm learning).

 29 What are some conceptualizations that work in mathematics but are not strictly true? 25 Best Fake Proofs? (A M.SE April Fools Day collection) 21 How to solve this sequence $165,195,255,285,345,x$ 14 Problem 6 - IMO 1985 12 Interview riddle

# 4,260 Reputation

 +20 Suppose that f is integrable on $[a,b]$. Prove there is a number $x$ in $[a,b]$ such that $\int_a^x f = \int_x^b f$ +5 Evaluating $\lim \limits_{n\to \infty}\,\,\, n\!\! \int\limits_{0}^{\pi/2}\!\! \left(1-\sqrt [n]{\sin x} \right)\,\mathrm dx$ -2 Evaluate $\int _{ 0 }^{ 1 }{ \left( { x }^{ 5 }+{ x }^{ 4 }+{ x }^{ 2 } \right) \sqrt { 4{ x }^{ 3 }+5{ x }^{ 2 }+10 } \; dx }$ +10 Does This Sequence Converge or Diverge?

# 13 Questions

 18 Evaluating $\lim \limits_{n\to \infty}\,\,\, n\!\! \int\limits_{0}^{\pi/2}\!\! \left(1-\sqrt [n]{\sin x} \right)\,\mathrm dx$ 11 Evaluate $\int _{ 0 }^{ 1 }{ \left( { x }^{ 5 }+{ x }^{ 4 }+{ x }^{ 2 } \right) \sqrt { 4{ x }^{ 3 }+5{ x }^{ 2 }+10 } \; dx }$ 6 A circular proof in Rudin that $\mathbb{R}$ is a field. 5 Trisecting a paper using hand and without using a ruler or compass [duplicate] 5 Counterexample for $(p\rightarrow q) \longleftrightarrow (!q \rightarrow\mathord !p)$

# 71 Tags

 86 real-analysis × 48 35 problem-solving × 4 75 calculus × 34 30 soft-question × 3 71 sequences-and-series × 22 29 teaching 38 limits × 16 29 examples-counterexamples 37 algebra-precalculus × 10 27 analysis × 10

# 37 Accounts

 Mathematics 4,260 rep 21144 Area 51 151 rep 3 Physics 134 rep 5 Software Recommendations 131 rep 4 TeX - LaTeX 108 rep 5