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 Triangle of PowerThe Triangle of Power By Lê Nguyên Hoang | Updated:2016-10 | Views: 12124 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!
Spacetime of General RelativitySpacetime of General Relativity By Lê Nguyên Hoang | Updated:2016-01 | Views: 14578 Most popular science explanations of the theory of general relativity are very nice-looking. But they are also deeply misleading. This article presents you a more accurate picture of the spacetime envisioned by Albert Einstein.
Optimization by Linear ProgrammingOptimization by Linear Programming By Lê Nguyên Hoang | Updated:2016-02 | Views: 8009 Operations Research deals with optimizing industrial systems. Those systems can be very complex and their modeling may require the use of hundreds, thousands or even millions of variables. Optimizing over millions of variables may seem impossible, but it can be done if the optimization problem has a linear structure. Learn more on this linear structure and optimization solutions!
High Dynamic Range and Tone MappingHigh Dynamic Range and Tone Mapping By Lê Nguyên Hoang | Updated:2015-12 | Views: 4019 Our eyes are amazing! Even today's cameras are nowhere near competing with them. However, the recent development of high dynamic range (HDR) and tone mapping technologies creates new possibilities to get images nearly as awesome as what our eyes really see!
Type Theory: A Modern Computable Paradigm for MathType Theory: A Modern Computable Paradigm for Math By Lê Nguyên Hoang | Updated:2016-01 | Views: 13148 In 2013, three dozens of today's brightest minds have just laid out new foundation of mathematics after a year of collective effort. This new paradigm better fits both informal and computationally-checkable mathematics. There is little doubt that it will fundamentally change our perspective on rigorous knowledge, and it could be that, in a few decades, the book they published turns out to be the bedrock of all mathematics, and, by extension, all human knowledge! Have a primer of this upcoming revolution, with this article on type theory, the theory that the book builds upon!
The Magic of AlgebraThe Magic of Algebra By Lê Nguyên Hoang | Updated:2016-02 | Views: 3907 The power of algebra lies in abstraction, and abstraction is basically forgetting. By retracing the History of algebra from its roots to more recent advancements, this article unveils the numerous breakthrough in our understanding of the world, by abusing of the power of forgetting.
Colours and DimensionsColours and Dimensions By Lê Nguyên Hoang | Updated:2015-12 | Views: 4911 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!
Euclidean Geometry and NavigationEuclidean Geometry and Navigation By Scott McKinney | Updated:2020-07 | Views: 8967 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.
Shannon's Information TheoryShannon's Information Theory By Lê Nguyên Hoang | Updated:2016-01 | Views: 53059 Claude Shannon may be considered one of the most influential person of the 20th Century, as he laid out the foundation of the revolutionary information theory. Yet, unfortunately, he is virtually unknown to the public. This article is a tribute to him. And the best way I've found is to explain some of the brilliant ideas he had.
The Triangle of Power
