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 New Big Fish Called Mean-Field Game TheoryThe New Big Fish Called Mean-Field Game Theory By Lê Nguyên Hoang | Updated:2016-01 | Views: 13891 In recent years, at the interface of game theory, control theory and statistical mechanics, a new baby of applied mathematics was given birth. Now named mean-field game theory, this new model represents a new active field of research with a huge range of applications! This is mathematics in the making!
Game Theory and the Nash EquilibriumGame Theory and the Nash Equilibrium By Lê Nguyên Hoang | Updated:2016-01 | Views: 11892 In the movie "A Beautiful Mind", the character is John Nash. He is one of the founders of a large and important field of applied mathematics called game theory. Game Theory is the study of human interactions. Its fallouts in economy, politics or biology are countless. This article gives you an introduction to the concepts of this amazing way of thinking.
Fair Division and Cake-CuttingFair Division and Cake-Cutting By Lê Nguyên Hoang | Updated:2016-02 | Views: 5766 Cutting a cake to satisfy everyone is no piece of cake! In the article, we focus on classical definitions of fair divisions. I'll criticize those definitions and conclude by extrapolating them to fairness in society.
Space Deformation and Group RepresentationSpace Deformation and Group Representation By Lê Nguyên Hoang | Updated:2015-12 | Views: 2482 All along the 20th century, pure algebraists have dug deep into the fundamental structures of mathematics. In this extremely abstract effort, they were greatly help by the possibility of representing these structures by space deformations, which could then be understood much better. This has led to breakthroughs, including the proof of Fermat's las theorem. This article introduces the ideas of group representations.
Colors: It's not just about Wavelengths!Colors: It's not just about Wavelengths! By Lê Nguyên Hoang | Updated:2016-02 | Views: 5821 Colours... What are they really? Are there the same for all of us? And for other animals? How does color addition or subtraction work? How do they work on computers? And on printers? The mysterious (but not dark) world of colors is actually very colourful!
The Tortuous Geometry of the Flat TorusThe Tortuous Geometry of the Flat Torus By Lê Nguyên Hoang | Updated:2015-12 | Views: 17215 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!
Darwin's Theory of EvolutionDarwin's Theory of Evolution By Lê Nguyên Hoang | Updated:2016-01 | Views: 15618 Darwin's theory of evolution is one of the greatest of all time. It's also one of the most controversial. This article presents the most fundamental concepts of the theory. We'll also provide results of modern science and discuss to which extend to they confirm Darwin's postulates.
Probabilistic Algorithms, Probably BetterProbabilistic Algorithms, Probably Better By Lê Nguyên Hoang | Updated:2016-02 | Views: 1654 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.
Optimization by Integer Programming
