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

Optimization by Integer Programming

Optimization by Integer Programming
By Lê Nguyên Hoang | Updated:2016-01 | Prerequisites: Optimization by Linear Programming | Views: 8859
Integer programming is arguably the greatest achievement of applied mathematics. Half of the time, it's what's used to solve real-world problems!

Fourier Analysis: Signals and Frequencies

Fourier Analysis: Signals and Frequencies
By Lê Nguyên Hoang | Updated:2016-01 | Views: 13821
Fourier analysis is a fundamental theory in mathematics with an impressive field of applications. From creating radio to hearing sounds, this concept is a translation between two mathematical worlds: Signals and Frequencies. Here is an introduction to the theory.

The Massive Puzzles of Gravity

The Massive Puzzles of Gravity
By Lê Nguyên Hoang | Updated:2016-02 | Views: 4323
This article follows the footsteps of the giants of physics that have moulded our current understanding of gravity. It is a series of brilliant inspirations, usually accompanied by deceiving misconceptions. After all, even today, gravity is still a slippery concept.

Darwin's Theory of Evolution

Darwin's Theory of Evolution
By Lê Nguyên Hoang | Updated:2016-01 | Views: 17278
Darwin's theory of evolution is one of the greatest of all time. It's also one of the most controversial. This article presents the most fundamental concepts of the theory. We'll also provide results of modern science and discuss to which extend to they confirm Darwin's postulates.

Shannon's Information Theory

Shannon's Information Theory
By Lê Nguyên Hoang | Updated:2016-01 | Views: 52491
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.

Can we measure peace ? The Global Peace Index (GPI)

Can we measure peace ? The Global Peace Index (GPI)
By Estève Giraud | Updated:2016-04 | Views: 3174

Dynamics of the Wave Function: Heisenberg, Schrödinger, Collapse

Dynamics of the Wave Function: Heisenberg, Schrödinger, Collapse
By Lê Nguyên Hoang | Updated:2016-02 | Prerequisites: The Essence of Quantum Mechanics, Imaginary and Complex Numbers, Linear Algebra and Higher Dimensions | Views: 10846
On one hand, the dynamics of the wave function can follow Schrödinger equation and satisfy simple properties like Heisenberg uncertainty principle. But on the other hand, it can be probabilistic. This doesn't mean that it's totally unpredictable, since the unpredictability is amazingly predictable. Find out how these two dynamics work!

Spacetime of General Relativity

Spacetime of General Relativity
By Lê Nguyên Hoang | Updated:2016-01 | Views: 14319
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 Revolutionary Galois Theory

The Revolutionary Galois Theory
By Lê Nguyên Hoang | Updated:2016-02 | Prerequisites: Linear Algebra and Higher Dimensions, Imaginary and Complex Numbers, Symmetries and Group Theory | Views: 22652
In 1832, Évariste Galois died. He was 20. The night before his death, he wrote a legendary letter to his friend, in which he claims to have found a mathematical treasure! Sadly, this treasure had long been buried in total indifference! It took nearly a century to rediscover it! Since then, Galois' legacy has become some of the finest pure mathematics, which represents a hugely active field of research today with crucial applications to cryptography. Galois' work is now known as Galois theory. In essence, it unveils the hidden symmetries of numbers!

Advanced Game Theory Overview

Advanced Game Theory Overview
By Lê Nguyên Hoang | Updated:2016-02 | Prerequisites: Game Theory and the Nash Equilibrium | Views: 6275
This article gives an overview of recent developments in game theory, including evolutionary game theory, extensive form games, mechanism design, bayesian games and mean field games.

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