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!
Optimization by Linear ProgrammingOptimization by Linear Programming By Lê Nguyên Hoang | Updated:2016-02 | Views: 7886 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!
Regulation of Electricity MarketsRegulation of Electricity Markets By Lê Nguyên Hoang | Updated:2016-02 | Views: 1986 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.
Geometry and General RelativityGeometry and General Relativity By Scott McKinney | Updated:2015-12 | Views: 3808 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.
From Divide and Conquer to ParallelizationFrom Divide and Conquer to Parallelization By Lê Nguyên Hoang | Updated:2015-12 | Views: 1748 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 Magic of AnalysisThe Magic of Analysis By Lê Nguyên Hoang | Updated:2016-02 | Views: 1939 This article retraces the endless pursuit of the infinite that is at the basis of mathematical analysis. From the first approximations of pi to the shape of our limitless universe, from the essential usefulness of differential equations to the troubles with infinite sums, we present the great ideas of mathematical geniuses all along History.
Dynamics, Chaos, Fractals (pt 1)Dynamics, Chaos, Fractals (pt 1) By Scott McKinney | Updated:2016-02 | Views: 4560 The study of dynamical systems, natural or abstract systems that evolve at each instance in time according to a specific rule, is an active and fruitful area of research in mathematics. Its study has yielded insights into the nature of social networks such as Facebook, the spread of diseases such as influenza, and the behavior of the financial markets. In this series of posts, we'll look in depth at dynamical systems, as well as at the related subjects of chaos theory and fractals, all of which are both interesting and useful for understanding our world.
The Unlikely Correctness of Newton's LawsThe Unlikely Correctness of Newton's Laws By Lê Nguyên Hoang | Updated:2016-02 | Views: 9767 Do moving objects exhaust? Does the Moon accelerate? How strong is the gravity pull of the Moon on the Earth compared to that of the Earth on the Moon? While we've all learned Newton's laws of motion, many of us would get several answers of these questions wrong. That's not so surprising, as Newton's laws are deeply counter-intuitive. By stressing their weirdness with Veritasium videos, this article dives into a deep understanding of classical mechanics.
Optimization by Linear Programming
