# Lee Yiyuan

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41544
bio website codemyroad.wordpress.com location Singapore age 18 member for 1 year, 1 month seen 17 hours ago profile views 864

I'm an 18-year old boy, currently studying in high school and chasing my passions in programming and mathematics in my free time.

I firmly believe that fluency and experience in these two areas transcends a person's age, and am therefore pitting myself against the standards of the professionals and the specialists.

 263 Visually stunning math concepts which are easy to explain 131 Visually stunning math concepts which are easy to explain 19 Product of logarithms, prove this identity. 17 If n is a positive integer, then $n^3 + 5n$ is divisible by $6$. 14 Show that the last four digits of $2013^k$ are 0001

# 8,154 Reputation

 +10 Show that $7\mid 2^{3n} -1 \,\,\,\forall n\in \mathbb N^+$ +10 if $abc=1$, then $a^2+b^2+c^2\ge a+b+c$ +30 Prove $g(a) = b, g(b) = c, g(c) = a$ +5 Prove that $\sum_{i = 2^{n-1} + 1}^{2^n}\frac{1}{a + ib} \ge \frac{1}{a + 2b}$

# 37 Questions

 10 Drawing the longest line segment contained in an area 8 GCD of $a^n + b^n$ and $c^n + d^n$ 6 Prove $g(a) = b, g(b) = c, g(c) = a$ 5 Can the limit $\lim_{h \to 0}\frac{f(x + h) - 2f(x) + f(x - h)}{h^2}$ exist if $f'(x)$ does not exist at $x$? 4 Strategies to guess choices for multiple choice questions

# 120 Tags

 125 elementary-number-theory × 38 30 number-theory × 23 96 calculus × 39 27 induction × 10 66 algebra-precalculus × 33 26 inequality × 17 56 sequences-and-series × 25 26 trigonometry × 17 44 divisibility × 12 26 modular-arithmetic × 8

# 6 Accounts

 Mathematics 8,154 rep 41544 Stack Overflow 306 rep 313 Physics 302 rep 18 Chemistry 116 rep 4 Computer Science 101 rep 1