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

Euler's Formula and the Utilities Problem

Euler's Formula and the Utilities Problem
By Lê Nguyên Hoang | Updated:2016-01 | Views: 19084
I was a kid when I was first introduced to the deceptively simple utilities problem. It's only lately that I've discovered its solution! And it's an amazing one! Indeed, it provides a wonderful insight into some fundamental mathematics, including Euler's formula! This is nothing less than the gateway to the wonderful world of algebraic topology!

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: 3203

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: 1896
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!

Dynamics, Chaos, Fractals (pt 2)

Dynamics, Chaos, Fractals (pt 2)
By Scott McKinney | Updated:2015-12 | Views: 2208
Dynamical systems such as a system of 3 planetary bodies can exhibit surprisingly complicated behavior. If the initial state of the system is slightly varied, the resulting system behaves in a radically different manner. This "sensitivity to initial conditions" is a key element of what's become (perhaps disproportionately) well-known as chaos. Using the mathematical notion of iterative systems, we can model such systems and understand how chaos arises out of deceptively simple foundations.

Cryptography and Quantum Physics

Cryptography and Quantum Physics
By Scott McKinney | Updated:2016-02 | Views: 2833
Recent discoveries in the branch of physics known as quantum mechanics have powerful applications in the field of network security - they have the potential to break forms of internet security based on mathematics such as the RSA algorithm, and also present new ways to safely send information. In this article we’ll see how a physics-based method can be used to secure online information.

Advanced Game Theory Overview

Advanced Game Theory Overview
By Lê Nguyên Hoang | Updated:2016-02 | Prerequisites: Game Theory and the Nash Equilibrium | Views: 6382
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.

Space Deformation and Group Representation

Space Deformation and Group Representation
By Lê Nguyên Hoang | Updated:2015-12 | Views: 2814
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.

The Essence of Quantum Mechanics

The Essence of Quantum Mechanics
By Lê Nguyên Hoang | Updated:2016-02 | Views: 11802
Quantum mechanics is the most accurate and tested scientific theory, Its applications to real life are countless, as all new technologies are based on its principles. Yet, it's also probably the most misunderstood theory, because it constantly contradicts common sense. This article presents the most important features of the theory.

Entropy and the Second Law of Thermodynamics

Entropy and the Second Law of Thermodynamics
By Lê Nguyên Hoang | Updated:2016-01 | Views: 27095
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!

Homotopy Type Theory and Higher Inductive Types

Homotopy Type Theory and Higher Inductive Types
By Lê Nguyên Hoang | Updated:2015-12 | Views: 8559
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.

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