My name is Lê and I believe that the greatest challenge in education is to make science and math appealing.
This is why I aim at bringing enthusiasm and excitement to the readers’ learning experience.
I now run a Robustly Beneficial wiki, mostly on AI ethics, which has come to fascinate me!

The Tortuous Geometry of the Flat TorusThe Tortuous Geometry of the Flat Torus By Lê Nguyên Hoang | Updated:2015-12 | Views: 20481 Take a square sheet of paper. Can you glue opposite sides without ever folding the paper? This is a conundrum that many of the greatest modern mathematicians, like Gauss, Riemann, and Mandelbrot, couldn't figure out. While John Nash did answer yes, he couldn't say how. After 160 years of research, Vincent Borrelli and his collaborators have finally provided a revolutionary and breathtaking example of a bending of a square sheet of paper! And it is spectacularly beautiful!

Logarithms and Age CountingLogarithms and Age Counting By Lê Nguyên Hoang | Updated:2015-12 | Views: 8924 Amusingly, the age difference between a 45-year-old man and a 25-year-old woman doesn't seem as big as the age difference between them 20 years earlier, when the woman was a little 5-year-old girl. This remark was the insight the late science popularizer Albert Jacquart liked to give to his readers to explain logarithms. This article pays tribute to the great scientist by introducing age difference as he liked to tell it.

Poincaré Conjecture and HomotopyPoincaré Conjecture and Homotopy By Lê Nguyên Hoang | Updated:2016-01 | Views: 8927 Poincaré conjecture is the most recent major proven theorem. Posited a century ago by Henri Poincaré, this major conjecture of topology was solved by Gregori Perelman. It has revolutionized our understanding of space and raised intriguing questions regarding the global structure of our Universe.

Shannon's Information TheoryShannon's Information Theory By Lê Nguyên Hoang | Updated:2016-01 | Views: 52482 Claude Shannon may be considered one of the most influential person of the 20th Century, as he laid out the foundation of the revolutionary information theory. Yet, unfortunately, he is virtually unknown to the public. This article is a tribute to him. And the best way I've found is to explain some of the brilliant ideas he had.

Colours and DimensionsColours and Dimensions By Lê Nguyên Hoang | Updated:2015-12 | Views: 4771 You've probably learned early on that there are three primary colours. But why three? And why these three? Surprisingly, the answer lies in the beautiful mathematics of linear algebra and (high) dimension spaces!

The Harmonious Mathematics of MusicThe Harmonious Mathematics of Music By Lê Nguyên Hoang | Updated:2015-12 | Views: 16895 It was when hearing the sounds of hammers that Pythagoras realized the ubiquity of numbers in mathematical harmony. He would go on laying down the mathematical foundations of music, based on octaves, perfect fifths and major thirds. This mathematics of music would then become the favourite playground of all musicians, from Beethoven to Gangnam Style.

Probabilistic Algorithms, Probably BetterProbabilistic Algorithms, Probably Better By Lê Nguyên Hoang | Updated:2016-02 | Views: 2003 Probabilities have been proven to be a great tool to understand some features of the world, such as what can happen in a dice game. Applied to programming, it has enabled plenty of amazing algorithms. In this article, we discuss its application to the primality test as well as to face detection. We'll also deal with quantum computers, as well as fundamental computer science open problems P=BPP and NP=BQP.