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

Santa Routing and Heuristics in Operations Research

Santa Routing and Heuristics in Operations Research
By Lê Nguyên Hoang | Updated:2016-01 | Views: 7500
Designing routes to visit customers has become one of applied mathematicians' favorite optimization problems, as companies offer millions to solve them! This article discusses the clever technics they have come up with, and use them to help Santa deliver toys to kids all over the world!

Linear Algebra and Higher Dimensions

Linear Algebra and Higher Dimensions
By Lê Nguyên Hoang | Updated:2016-02 | Views: 6511
Linear algebra is a one of the most useful pieces of mathematics and the gateway to higher dimensions. Using Barney Stinson's crazy-hot scale, we introduce its key concepts.

Beauty, the Driving Force of our Quest for Truth

Beauty, the Driving Force of our Quest for Truth
By Lê Nguyên Hoang | Updated:2015-12 | Views: 1592
According to Matthew Colless, the most important aspect of science is beauty. Not only is it what inspires scientists and their quests, I'd even claim that it's also the compass that guide them in their quests, in a deeper and more surprising way that one can imagine!

Spacetime of Special Relativity

Spacetime of Special Relativity
By Lê Nguyên Hoang | Updated:2016-02 | Views: 3284
Einstein's theory of relativity is the best-known breakthrough of the History of science. The reason for that isn't only the accuracy of the theory, but also and mainly its beauty. As Einstein once said: "Most of the fundamental ideas of science are essentially simple, and may, as a rule, be expressed in a language comprehensible to everyone." This is what the article aims at showing Einstein's simple ideas of special relativity and their beauty.

Shannon's Information Theory

Shannon's Information Theory
By Lê Nguyên Hoang | Updated:2016-01 | Views: 48685
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.

Pluto is NOT (not?) a Planet

Pluto is NOT (not?) a Planet
By Lê Nguyên Hoang | Updated:2015-12 | Views: 3301
In 2006, Pluto was officially demoted from its planetary status. When we dig a little bit, this isn't much of the surprise. What's more interesting is rather why it ever was regarded as a planet, as the History of Pluto highlights a magic enterprise that science is!

Advanced Game Theory Overview

Advanced Game Theory Overview
By Lê Nguyên Hoang | Updated:2016-02 | Prerequisites: Game Theory and the Nash Equilibrium | Views: 5740
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.

Homotopy Type Theory and Higher Inductive Types

Homotopy Type Theory and Higher Inductive Types
By Lê Nguyên Hoang | Updated:2015-12 | Views: 7945
In this article, we explore the possibilities allowed by higher inductive types. They enable a much more intuitive formalization of integers and new mind-blowing definitions of the (homotopical) circle and sphere.

Optimization by Linear Programming

Optimization by Linear Programming
By Lê Nguyên Hoang | Updated:2016-02 | Views: 7412
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!

Proof by Mathematical Induction

Proof by Mathematical Induction
By Lê Nguyên Hoang | Updated:2015-12 | Views: 6185
This article explores the potency of proofs by induction with 4 different stunning puzzles, from a lock puzzle and a lion issue, to the monk problem and the pencil conundrum!

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