Mathematics
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MafPrivate
  • Member for 3 years, 7 months
  • Last seen this week
  • Hong Kong
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About

Hi! I am Isaac and I am come from Hong Kong, China. I am keen on Maths that I have participated a lot of maths competition and have won a lot of awards. The greatest award is that I went to India and participated in INIMC when I was 11. Hong Kong Team got the overall championship! Also, I participated Hong Kong IMO Prelim for years and I got a few gold medals. Lastly in the 63rd IMO, I got a silver medal for our HK team.

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All Questions Answers
Score Newest
question
20
Prove a trigonometric identity: $\cos^2A+\cos^2B+\cos^2C+2\cos A\cos B\cos C=1$ when $A+B+C=\pi$
Sep 10, 2019
question
16
The best $n$-digit password?
Sep 9, 2019
answer
13
Proving the identity $\sum_{k=1}^n {k^3} = \big(\sum_{k=1}^n k\big)^2$ without induction
Aug 17, 2019
question
12
Closed form of $\sum^{\infty}_{n=1} \dfrac{1}{n^a{(n+1)}^a}$ where $a$ is a positive integer
Oct 28, 2019
answer
9
If $ab+bc+ca\ge1$, prove that $\frac{1}{a^2}+\frac{1}{b^2}+\frac{1}{c^2}\ge\frac{\sqrt{3}}{abc}$
Dec 6, 2019
question
8
Are $a=3, b=7$ the only solutions to $\sqrt{3}+\sqrt[3]{7}=\sqrt{a}+\sqrt[3]{b}$ for $a,b \in \mathbb{Q}$?
Sep 10, 2021
question
7
Find the greatest common divisor of $2^m+1$ and $2^n+1$ that $m,n$ are positive integers.
Aug 25, 2019
answer
7
$n$ divides $\phi(a^n -1)$ where $a, n$ are positive integer.
Aug 11, 2019
answer
7
Generating function of ordered partitions
Aug 11, 2019
question
6
Find the sum of the number of all continuous runs of all possible sequences with $2019$ ones and $2019$ zeros
Aug 27, 2019

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