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!

Regulation of Electricity MarketsRegulation of Electricity Markets By Lê Nguyên Hoang | Updated:2016-02 | Views: 1743 Electricity markets are not like any markets. In particular, they cannot be liberalized without regulation. In the article, I list the reasons why this market is specific and I conclude by giving you important features of a good regulation.

The Harmonious Mathematics of MusicThe Harmonious Mathematics of Music By Lê Nguyên Hoang | Updated:2015-12 | Views: 9292 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.

Cryptography and Quantum PhysicsCryptography and Quantum Physics By Scott McKinney | Updated:2016-02 | Views: 2353 Recent discoveries in the branch of physics known as quantum mechanics have powerful applications in the field of network security - they have the potential to break forms of internet security based on mathematics such as the RSA algorithm, and also present new ways to safely send information. In this article we’ll see how a physics-based method can be used to secure online information.

Colours and DimensionsColours and Dimensions By Lê Nguyên Hoang | Updated:2015-12 | Views: 3239 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!

Dynamics, Chaos, Fractals (pt 2)Dynamics, Chaos, Fractals (pt 2) By Scott McKinney | Updated:2015-12 | Views: 1756 Dynamical systems such as a system of 3 planetary bodies can exhibit surprisingly complicated behavior. If the initial state of the system is slightly varied, the resulting system behaves in a radically different manner. This "sensitivity to initial conditions" is a key element of what's become (perhaps disproportionately) well-known as chaos. Using the mathematical notion of iterative systems, we can model such systems and understand how chaos arises out of deceptively simple foundations.

The Essence of Quantum MechanicsThe Essence of Quantum Mechanics By Lê Nguyên Hoang | Updated:2016-02 | Views: 9997 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.

Euclidean Geometry and NavigationEuclidean Geometry and Navigation By Scott McKinney | Updated:2020-07 | Views: 6077 This is the first of a series of three posts. In this post we'll see how the Greeks developed a system of geometry - literally "Earth measure" - to assist with planetary navigation. We then will see why their assumption that the Earth is flat means that Euclidean geometry is insufficient for studying the Earth. The Earth's spherical surface looks flat from our perspective, but is actually qualitatively different from a flat surface. In the ensuing posts, we'll see why this implies that it is impossible to make a perfectly accurate map of the Earth, and build on this idea to get a glimpse into Einstein's revolutionary theories regarding the geometry of the space-time universe.