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: 4769 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.

Construction and Definition of NumbersConstruction and Definition of Numbers By Lê Nguyên Hoang | Updated:2016-02 | Views: 6056 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 Amazing Physics of Water in TreesThe Amazing Physics of Water in Trees By Lê Nguyên Hoang | Updated:2016-01 | Views: 43266 As explained by Derek Muller on Veritasium, the flow of water in trees involves complex physical phenomena including pressure, osmosis, negative pressure, capillarity and evapotranspiration. What seems simple will blow your mind!

From Divide and Conquer to ParallelizationFrom Divide and Conquer to Parallelization By Lê Nguyên Hoang | Updated:2015-12 | Views: 1592 Divide and conquer is a extremely powerful concept that is being used a lot in computer science, and that can also be applied in real life. We present its application to sorting algorithms. Then we'll talk about a major fundamental open mathematical problem, called P=NC.

Imaginary and Complex NumbersImaginary and Complex Numbers By Lê Nguyên Hoang | Updated:2016-02 | Views: 5961 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).

The Limitless Vertigo of Cantor's InfiniteThe Limitless Vertigo of Cantor's Infinite By Lê Nguyên Hoang | Updated:2015-12 | Views: 2947 No one believed him. Not even fellow mathematicians. They thought he was wrong. They thought he was crazy. Even he ended up doubting himself and went crazy. And yet, he had mathematically proved it all. Georg Cantor had figured out how to manipulate the infinite. Even more remarkable, he showed that there were actually several infinities; and some are bigger than others!

Non-Euclidean Geometry and Map-MakingNon-Euclidean Geometry and Map-Making By Scott McKinney | Updated:2016-02 | Views: 8078 Geometry literally means "the measurement of the Earth", and more generally means the study of measurements of different kinds of space. Geometry on a flat surface, and geometry on the surface of a sphere, for example, are fundamentally different. A consequence of this disparity is the fact that it is impossible to create a perfectly accurate (flat) map of the Earth's (spherical) surface. Every map of the Earth necessarily has distortions. In this post we look at a few different methods of map-making and evaluate their distortions as well as their respective advantages.