Science4All

Welcome to Science4All

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!

Check my articles

The Limitless Vertigo of Cantor's Infinite

The Limitless Vertigo of Cantor's Infinite
By Lê Nguyên Hoang | Updated:2015-12 | Views: 3372
No one believed him. Not even fellow mathematicians. They thought he was wrong. They thought he was crazy. Even he ended up doubting himself and went crazy. And yet, he had mathematically proved it all. Georg Cantor had figured out how to manipulate the infinite. Even more remarkable, he showed that there were actually several infinities; and some are bigger than others!

The Harmonious Mathematics of Music

The Harmonious Mathematics of Music
By Lê Nguyên Hoang | Updated:2015-12 | Views: 11907
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.

Dual Variable Stabilization

Dual Variable Stabilization
By Lê Nguyên Hoang | Updated:2016-02 | Prerequisites: Optimization by Linear Programming, Duality in Linear Programming, Primal and Dual Simplex Methods | Views: 716
Simplex methods face issues in case of degeneracy. The dual variable stabilization is a very recent state-of-the-art way to deal with degeneracy. An intuitive understanding is given in this article.

Entropy and the Second Law of Thermodynamics

Entropy and the Second Law of Thermodynamics
By Lê Nguyên Hoang | Updated:2016-01 | Views: 24739
The second law of thermodynamics is my favorite law in physics, mainly because of the troubling puzzles it raises! Indeed, what your professors may have forgotten to tell you is that this law connects today's world to its first instant, the Big Bang! Find out why!

Differential Calculus and the Geometry of Derivatives

Differential Calculus and the Geometry of Derivatives
By Lê Nguyên Hoang | Updated:2016-02 | Views: 7178
Differential calculus is one of the most important concept of mathematics for science and engineering. This article focuses on its fundamental meaning.

Column Generation and Dantzig-Wolfe Decomposition

Column Generation and Dantzig-Wolfe Decomposition
By Lê Nguyên Hoang | Updated:2016-02 | Prerequisites: Linear Algebra and Higher Dimensions, Optimization by Linear Programming | Views: 9894
Column generation and the Dantzig-Wolfe decomposition are powerful tricks which have revolutionized optimization addressed to industrial problems, and generated millions and millions of dollars. My PhD supervisor effectively took great advantage of these tricks and founded companies with it. This article explains the tricks.

P versus NP: A Crucial Open Problem

P versus NP: A Crucial Open Problem
By Lê Nguyên Hoang | Updated:2016-01 | Views: 6673
P=NP is probably today's most crucial open problem. Not only is it a very theoretical question in computer science and mathematics, but it also has major implications to real world. Its resolution could revolutionize the world. This article gives the definition and major results of P=NP.

A Mathematical Guide to Selling

A Mathematical Guide to Selling
By Lê Nguyên Hoang | Updated:2015-12 | Views: 4362
How to best sell a good? Should we auction it like in movies? Since the 1960s, economists have addressed this question mathematically and found surprising results. Most notably, in 1981, Nobel prize winner Roger Myerson proved that most auctions you could think of would win you just as much as any basic auction, but that, as well, you could do better using his approach. Since, today, billions of dollars are at play in online auctions, you can imagine how hot a topic it has now become!

Spacetime of General Relativity

Spacetime of General Relativity
By Lê Nguyên Hoang | Updated:2016-01 | Views: 13207
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.

The Magic of Algebra

The Magic of Algebra
By Lê Nguyên Hoang | Updated:2016-02 | Views: 3522
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.

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