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 Biology Civil War Opposing Kin to Group Selection

The Biology Civil War Opposing Kin to Group Selection
By Lê Nguyên Hoang | Updated:2015-12 | Views: 4517
In 2010, a controversial article published in Nature violently criticized the last 40 years of developments in evolutionary biology, triggering an ongoing war within the scientific community. This article explains the essence of the controversy!

The Cubic Ball of the 2014 FIFA World Cup

The Cubic Ball of the 2014 FIFA World Cup
By Lê Nguyên Hoang | Updated:2016-02 | Views: 10027
I know this sounds crazy. Even stupid. But Adidas did design a cubic ball, called brazuca, for the 2014 World Cup. And, yet, this cubic ball is rounder than any previous ball in football History. How is it possible? This article explains it.

What Makes a Published Result Believable?

What Makes a Published Result Believable?
By Lê Nguyên Hoang | Updated:2019-11 | Views: 716
This article discusses the validity of scientific results.

Dynamics, Chaos, Fractals (pt 1)

Dynamics, Chaos, Fractals (pt 1)
By Scott McKinney | Updated:2016-02 | Views: 4635
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.

Space Deformation and Group Representation

Space Deformation and Group Representation
By Lê Nguyên Hoang | Updated:2015-12 | Views: 2786
All along the 20th century, pure algebraists have dug deep into the fundamental structures of mathematics. In this extremely abstract effort, they were greatly help by the possibility of representing these structures by space deformations, which could then be understood much better. This has led to breakthroughs, including the proof of Fermat's las theorem. This article introduces the ideas of group representations.

Mechanism Design and the Revelation Principle

Mechanism Design and the Revelation Principle
By Lê Nguyên Hoang | Updated:2016-02 | Views: 7274
Whenever you need to make a group of people interact, you are designing a mechanism. If you want to achieve a good interaction, you need to make sure your mechanism is well designed. In this article, I'll show you main features of mechanisms through various examples. I'll also talk about a great mathematical tool for mechanism design: the revelation principle.

The Addictive Mathematics of the 2048 Tile Game

The Addictive Mathematics of the 2048 Tile Game
By Lê Nguyên Hoang | Updated:2016-01 | Views: 30316
2048 is the Internet sensation of the year. This very addictive game has been downloaded hundred of millions of times. Interestingly, this game raises plenty of intriguing mathematical questions. This article unveils some of them!

Shannon's Information Theory

Shannon's Information Theory
By Lê Nguyên Hoang | Updated:2016-01 | Views: 52771
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.

Univalent Foundations of Mathematics

Univalent Foundations of Mathematics
By Lê Nguyên Hoang | Updated:2015-12 | Prerequisites: Type Theory: A Modern Computable Paradigm for Math, Homotopy Type Theory and Higher Inductive Types | Views: 4357
In an effort to make mathematics more computable, a consortium of today's greatest mathematicians have laid out new foundations. Amazingly, they all lie upon one single axiom, called univalence. The goal of this axiom is to make formal mathematics more similar to informal mathematics. With univalence, our Arabic numbers aren't just like natural numbers; They are natural numbers. Univalence also has unforeseen and mesmerizing consequences.

From Divide and Conquer to Parallelization

From Divide and Conquer to Parallelization
By Lê Nguyên Hoang | Updated:2015-12 | Views: 1753
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.

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