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.
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Game Theory and the Nash EquilibriumGame Theory and the Nash Equilibrium By Lê Nguyên Hoang | Updated:2016-01 | Views: 9160 In the movie “A Beautiful Mind”, the character is John Nash. He is one of the founders of a large and important field of applied mathematics called game theory. Game Theory is the study of human interactions. Its fallouts in economy, politics or biology are countless. This article gives you an introduction to the concepts of this amazing way of thinking.

Type Theory: A Modern Computable Paradigm for MathType Theory: A Modern Computable Paradigm for Math By Lê Nguyên Hoang | Updated:2016-01 | Views: 8094 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!

Numbers and ConstructibilityNumbers and Constructibility By Lê Nguyên Hoang | Updated:2016-02 | Views: 4713 Last summer, I got to discover Morellet’s artwork on inclined grids. Amazingly, this artwork is a display of the irrationality of $\sqrt{2}$! It’s also a strong argument for the existence of this number. In this article, after discussing that, I take readers further by discussing what numbers can be constructed geometrically, algebraically, analytically or set theoretically using the power of mathematics!

High Dynamic Range and Tone MappingHigh Dynamic Range and Tone Mapping By Lê Nguyên Hoang | Updated:2015-12 | Views: 1883 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!

Conditional Probabilities: Know what you LearnConditional Probabilities: Know what you Learn By Lê Nguyên Hoang | Updated:2016-02 | Views: 3405 Suppose a man has two children, one of them being a boy. What’s the probability of the other one being a boy too? This complex question has intrigued thinkers for long until mathematics eventually provided a great framework to better understanding of what’s known as conditional probabilities. In this article, we present the ideas through the two-children problem and other fun examples.

Geological Wonders of IcelandGeological Wonders of Iceland By Lê Nguyên Hoang | Updated:2016-02 | Views: 1440 Iceland is at an amazingly active volcanic location, yielding extreme geological phenomenons. Iceland is therefore a giant laboratory for geologists. It’s also an awesome place for visitors, especially hikers. This article introduces some of Iceland’s wonders.

Hypothesis Test with Statistics: Get it Right!Hypothesis Test with Statistics: Get it Right! By Lê Nguyên Hoang | Updated:2016-02 | Views: 3619 Statistician Johnson recently claimed that up to 25% of published scientific experimental results were just wrong! To see why, let’s get to the bottom of the scientific method! And it’s probably more complicated than you think. In this article, we apply it rigorously to “prove” $\pi=3$. This will highlight the actually mechanism of the scientific method, its limits, and how much messages of experiments are often deformed!

Evolutionary Game TheoryEvolutionary Game Theory By Lê Nguyên Hoang | Updated:2016-02 | Views: 3194 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.