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!
Conditional Probabilities: Know what you LearnConditional Probabilities: Know what you Learn By Lê Nguyên Hoang | Updated:2016-02 | Views: 4838 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.
Dynamics, Chaos, Fractals (pt 2)Dynamics, Chaos, Fractals (pt 2) By Scott McKinney | Updated:2015-12 | Views: 1944 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.
Cryptography and Number TheoryCryptography and Number Theory By Scott McKinney | Updated:2016-01 | Views: 14843 Over 300 years ago, a mathematician named Fermat discovered a subtle property about prime numbers. In the 1970's, three mathematicians at MIT showed that his discovery could be used to formulate a remarkably powerful method for encrypting information to be sent online. The RSA algorithm, as it is known, is used to secure ATM transactions, online business, banking, and even electronic voting. Surprisingly, it's not too difficult to understand, so let's see how it works.
Spacetime of General RelativitySpacetime of General Relativity By Lê Nguyên Hoang | Updated:2016-01 | Views: 13514 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.
Numbers and ConstructibilityNumbers and Constructibility By Lê Nguyên Hoang | Updated:2016-02 | Views: 8079 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!
Advanced Game Theory Overview
