# boywholived

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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, 6 months seen 55 mins ago profile views 448

As I have decided to study, I plan to cut down my near to 0 participation to absolute zero until my next vacation. I confess, it was really fun. Thank you!

Give a man a mask and he will show you his true face.

Well, because he thought it was good sport. Because some men aren't looking for anything logical, like money. They can't be bought, bullied, reasoned, or negotiated with. Some men just want to watch the world 'learn'.`

I am an avid learner and enthusiast of Mathematics. I blog on quasi-random topics.

Some answers that I wrote.

 25 What are some 'conceptualizations' that work in mathematics but are not strictly true? 23 Best Fake Proofs? (A M.SE April Fools Day collection) 18 How to solve this sequence $165,195,255,285,345,x$ 12 If $f$ is a strictly increasing function with $f(f(x))=x^2+2$, then $f(3)=?$ 12 Prove that ${1\over2}<{1\over1001}+…+{1\over2000}<1$

# 3,590 Reputation

 +10 Diophantine equation $ax + by = c$ has an integer solution $x_0, y_0$ if and only if $\gcd(a,b)|c$ +10 What are some 'conceptualizations' that work in mathematics but are not strictly true? +10 If $f$ is a strictly increasing function with $f(f(x))=x^2+2$, then $f(3)=?$ +10 Prove that $\sum\limits_{n=0}^{\infty}{(e^{b_n}-1)}$ converges, given that $\sum\limits_{n=0}^{\infty}{b_n}$ converges absolutely.

# 13 Questions

 16 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. 4 Trisecting a paper using hand and without using a ruler or compass 4 Counterexample for $(p\rightarrow q) \longleftrightarrow (!q \rightarrow\mathord !p)$

# 66 Tags

 63 calculus × 37 31 problem-solving × 4 57 sequences-and-series × 21 26 soft-question × 3 56 real-analysis × 40 25 teaching 37 algebra-precalculus × 10 25 examples-counterexamples 35 limits × 17 24 contest-math × 3

# 34 Accounts

 Mathematics 3,590 rep 832 Area 51 151 rep 3 Physics 134 rep 5 Software Recommendations 121 rep 3 TeX - LaTeX 108 rep 5