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!

Geometry and General RelativityGeometry and General Relativity By Scott McKinney | Updated:2015-12 | Views: 3420 From our "intrinsic" point-of-view on the surface of the Earth, it appears to be flat, but if we examine the Earth from the "extrinsic" point of view, somewhere off the Earth's surface, we can see that it is clearly a curved surface. Amazingly, it is possible to determine that the Earth is spherical simply by taking measurements on its surface, and it is possible to generalize these measurements in order to study the shape of the universe. Mathematicians such as Riemann did just this, and Einstein was able to apply these geometric ideas to his "general theory of relativity", which describes the relation between gravitation, space, and time.

Colours and DimensionsColours and Dimensions By Lê Nguyên Hoang | Updated:2015-12 | Views: 4055 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!

Evolutionary Game TheoryEvolutionary Game Theory By Lê Nguyên Hoang | Updated:2016-02 | Views: 5495 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.

From Divide and Conquer to ParallelizationFrom Divide and Conquer to Parallelization By Lê Nguyên Hoang | Updated:2015-12 | Views: 1685 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.

The Essence of Quantum MechanicsThe Essence of Quantum Mechanics By Lê Nguyên Hoang | Updated:2016-02 | Views: 10858 Quantum mechanics is the most accurate and tested scientific theory, Its applications to real life are countless, as all new technologies are based on its principles. Yet, it's also probably the most misunderstood theory, because it constantly contradicts common sense. This article presents the most important features of the theory.

Space Deformation and Group RepresentationSpace Deformation and Group Representation By Lê Nguyên Hoang | Updated:2015-12 | Views: 2531 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.