We will be featuring different members of the Brilliant community, so that you can get to know them better. For the second issue, we are featuring Daniel Liu.
The community loved this problem of Daniel's. Be warned! It is not for the faint of heart! You can also click through the other problems in his set, and challenge yourself even more.
When writing up this solution to finding the minimum value of subject to , Daniel explained the importance of recognizing the trigonometric substitution which greatly simplified the working
1) Tell us more about yourself.
I am a high school freshman who loves to make math problems as a hobby. In addition to making and solving problems, I also like to practice skill games like juggling, Diabolo and Rubik's Cube. I also enjoy playing the piano, and have been playing for 9 years. Finally, I enjoy playing video games especially first person shooters and online multiplayer games.
2) What is one fun fact about yourself that the Brilliant community doesn't know about?
I am a Guinness World Record holder, along with 324 other Mathletes, parents and staff who participated in the World Record attempt of fastest human formation of the first 25 rows of Pascal's Triangle in the 30th anniversary of the National Mathcounts Competition.
3) What do you want to accomplish in the next few years?
In the next few years, I wish to affect the entire Mathematical Community through a new discovery. I have already tried to do so with the Generalized Reverse Rearrangement Inequality, and I am hoping I will be able to find enough Olympiad problems solvable with this inequality that it will become credible.
4) What do you wish for Brilliant?
I wish that Brilliant.org can become one of the most used sources as a means of practicing for math tests and competitions (i.e AoPS), like the MAA or JEE test series. In addition to competition, I wish that Brilliant.org will also be a means of creating and sharing new ideas and concepts (i.e MSE) through the community interactions. Finally, I wish that Brilliant.org will also serve as a place for people who are struggling with math to review and learn the concepts and maybe even start to like math (i.e Khan Academy). Seeing that Brilliant.org is already heading towards this path is exciting to me.