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!
Evolutionary Game TheoryEvolutionary Game Theory By Lê Nguyên Hoang | Updated:2016-02 | Views: 6287 Evolutionary Game Theory is a relatively recent branch of game theory which studies the dynamics of games. Originally used to describe populations of species in biology, and more particularly, the consequences of their interactions to the evolution of their populations, this field now produces interesting results for economic and environmental modelings.
Darwin's Theory of EvolutionDarwin's Theory of Evolution By Lê Nguyên Hoang | Updated:2016-01 | Views: 17423 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.
Multicriteria with MACBETHMulticriteria with MACBETH By Lê Nguyên Hoang | Updated:2016-02 | Views: 2907 As more and more complex problems are dealt with in our societies, developing models such as multi-criteria analysis is crucial to better understand these problems. MACBETH is a state-of-the-art method to do just that. Its functioning is described in this article.
Construction and Definition of NumbersConstruction and Definition of Numbers By Lê Nguyên Hoang | Updated:2016-02 | Views: 9396 Although they have been used for thousands of years, an actual definition of numbers was given less than a century ago! From the most fundamental level of set theory, this article takes you to the journey of the construction of natural, integer, rational, real and complex numbers.
The Secretary/Toilet Problem and Online OptimizationThe Secretary/Toilet Problem and Online Optimization By Lê Nguyên Hoang | Updated:2015-12 | Views: 5715 A large chunk of applied mathematics has focused on optimizing something with respect to all relevant data. However, in practice, especially in the online world, the data is not available to us, and, yet, we're still expected to make nearly optimal decisions. This problem is exemplified by the famous secretary problem, where a manager needs to decide to hire candidates right after interviews, even though he has not yet met all the candidates. In this article, we review this classic as well as many very recent developments.
The Triangle of PowerThe Triangle of Power By Lê Nguyên Hoang | Updated:2016-10 | Views: 12075 Notations do not matter to the essence of mathematics. But poor notations can be misleading. Notations based on exponents, radicals and logarithms definitely are. They are very distinct, even though they are supposed to describe very similar relations between numbers. The triangle of power is a recently proposed alternative. In short, I am convinced!
Imaginary and Complex NumbersImaginary and Complex Numbers By Lê Nguyên Hoang | Updated:2016-02 | Views: 6914 My first reaction to imaginary numbers was... What the hell is that? Even now, I have trouble getting my head around these mathematical objects. Fortunately, I have a secret weapon: Geometry! This article proposes constructing complex numbers with a very geometrical and intuitive approach, which is probably very different from what you've learned (or will learn).
Homotopy Type Theory and Higher Inductive Types
